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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Bioeng. Biotechnol.</journal-id>
<journal-title>Frontiers in Bioengineering and Biotechnology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Bioeng. Biotechnol.</abbrev-journal-title>
<issn pub-type="epub">2296-4185</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1614509</article-id>
<article-id pub-id-type="doi">10.3389/fbioe.2025.1614509</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Bioengineering and Biotechnology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Drug delivery system based on an antibacterial layer-by-layer coating on urinary catheters: an experimental and simulation approach</article-title>
<alt-title alt-title-type="left-running-head">Pulido et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fbioe.2025.1614509">10.3389/fbioe.2025.1614509</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Pulido</surname>
<given-names>Ruth</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Naveas</surname>
<given-names>Nelson</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Fern&#xe1;ndez-Alonso</surname>
<given-names>Francisco Javier</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Manso-Silv&#xe1;n</surname>
<given-names>Miguel</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Soriano</surname>
<given-names>Leonardo</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Torres-Ulloa</surname>
<given-names>Carlos</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Mena-Ulecia</surname>
<given-names>Karel</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
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<contrib contrib-type="author">
<name>
<surname>Recio-S&#xe1;nchez</surname>
<given-names>Gonzalo</given-names>
</name>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
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<contrib contrib-type="author">
<name>
<surname>Garcia-Sandoval</surname>
<given-names>Juan Paulo</given-names>
</name>
<xref ref-type="aff" rid="aff8">
<sup>8</sup>
</xref>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hern&#xe1;ndez-Montelongo</surname>
<given-names>Jacobo</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
<xref ref-type="aff" rid="aff9">
<sup>9</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Departamento de Qu&#xed;mica, Universidad de Antofagasta</institution>, <addr-line>Antofagasta</addr-line>, <country>Chile</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Departamento de F&#xed;sica Aplicada, Universidad Aut&#xf3;noma de Madrid, Campus de Cantoblanco</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Instituto Universitario de Ciencia de Materiales &#x201c;Nicol&#xe1;s Cabrera&#x201d; (INC), Universidad Aut&#xf3;noma de Madrid, Campus de Cantoblanco</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Centro de Microan&#xe1;lisis de Materiales, Universidad Aut&#xf3;noma de Madrid, Campus de Cantoblanco</institution>, <addr-line>Madrid</addr-line>, <country>Spain</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Departmento de Ciencias Matem&#xe1;ticas y F&#xed;sicas, Universidad Cat&#xf3;lica de Temuco</institution>, <addr-line>Temuco</addr-line>, <country>Chile</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Departmento de Ciencias Biol&#xf3;gicas y Qu&#xed;micas, Universidad Cat&#xf3;lica de Temuco</institution>, <addr-line>Temuco</addr-line>, <country>Chile</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Facultad de Ingenier&#xed;a, Arquitectura y Dise&#xf1;o, Universidad San Sebasti&#xe1;n</institution>, <addr-line>Concepci&#xf3;n</addr-line>, <country>Chile</country>
</aff>
<aff id="aff8">
<sup>8</sup>
<institution>Departmento de Ingenier&#xed;a Qu&#xed;mica, Universidad de Guadalajara</institution>, <addr-line>Guadalajara</addr-line>, <country>Mexico</country>
</aff>
<aff id="aff9">
<sup>9</sup>
<institution>Departamento de Bioingenier&#xed;a Traslacional, Universidad de Guadalajara</institution>, <addr-line>Guadalajara</addr-line>, <country>Mexico</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1438819/overview">Sangram Keshari Samal</ext-link>, Regional Medical Research Center (ICMR), India</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2556734/overview">Hongmin Sun</ext-link>, University of Missouri, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1566221/overview">Sujatha Dodoala</ext-link>, Sri Padmavati Mahila Visvavidyalayam, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2003006/overview">Kumaravel Kandaswamy</ext-link>, Kumaraguru College of Technology, India</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3066125/overview">Stephen Waller</ext-link>, University of Kansas Medical Center, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/3071506/overview">Guangshun Yi</ext-link>, King Faisal Specialist Hospital and Research Centre, Saudi Arabia</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Jacobo Hern&#xe1;ndez-Montelongo, <email>jacobo.hernandez@uct.cl</email>; Nelson Naveas, <email>nelson.naveas@estudiante.uam.es</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>29</day>
<month>08</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>13</volume>
<elocation-id>1614509</elocation-id>
<history>
<date date-type="received">
<day>19</day>
<month>04</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>08</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Pulido, Naveas, Fern&#xe1;ndez-Alonso, Manso-Silv&#xe1;n, Soriano, Torres-Ulloa, Mena-Ulecia, Recio-S&#xe1;nchez, Garcia-Sandoval and Hern&#xe1;ndez-Montelongo.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Pulido, Naveas, Fern&#xe1;ndez-Alonso, Manso-Silv&#xe1;n, Soriano, Torres-Ulloa, Mena-Ulecia, Recio-S&#xe1;nchez, Garcia-Sandoval and Hern&#xe1;ndez-Montelongo</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Urinary catheters (UCs) are critical in biomedical applications, but prolonged use increases the risk of catheter-associated urinary tract infections (CAUTIs), a leading cause of healthcare-associated infections (HAIs). The present study presents a dual strategy to create an antibacterial surface on commercial Foley silicone UCs by combining a contact-killing effect with the controlled release of antimicrobial compounds. We designed a drug delivery system using a layer-by-layer (LbL) antibacterial coating of carboxymethylcellulose (CMC) and chitosan-silver (CHI-Ag) complexes, with ciprofloxacin (CFX) as the model drug. The resulting LbL coating, about 1 <inline-formula id="inf1">
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<mml:mi>&#x3bc;</mml:mi>
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</inline-formula> and demonstrated a high capacity for CFX loading, releasing over twice the amount (<inline-formula id="inf3">
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<mml:mn>70</mml:mn>
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<mml:mi>m</mml:mi>
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<mml:mn>2</mml:mn>
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</mml:mrow>
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</inline-formula>) compared to uncoated UCs (<inline-formula id="inf4">
<mml:math id="m4">
<mml:mrow>
<mml:mn>30</mml:mn>
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<mml:mn>2</mml:mn>
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</inline-formula>). The antibacterial efficacy was significantly higher in the LbL-coated samples, particularly against <italic>S. aureus</italic> compared to <italic>E. coli</italic>. Drug release experiments, modeled using Fick&#x2019;s second law, indicated a diffusivity of <inline-formula id="inf5">
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<mml:mrow>
<mml:mn>1.744</mml:mn>
<mml:mo>&#xd7;</mml:mo>
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<mml:msup>
<mml:mrow>
<mml:mn>0</mml:mn>
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<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
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</mml:msup>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mrow>
<mml:mtext>cm</mml:mtext>
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<mml:mo>/</mml:mo>
<mml:mtext>h</mml:mtext>
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</inline-formula>. Our mathematical model predicts how variations in drug loading and rest times impact release profiles. Finally, molecular dynamics simulations suggested strong compatibility between CFX and the LbL layers, though with relatively low stability. This dual strategy holds promise for reducing CAUTIs effectively.</p>
</abstract>
<kwd-group>
<kwd>drug delivery</kwd>
<kwd>layer-by-layer (LbL)</kwd>
<kwd>antibacterial coating</kwd>
<kwd>urinary catheters</kwd>
<kwd>mathematical model</kwd>
<kwd>molecular dynamics</kwd>
</kwd-group>
<contract-num rid="cn001">1230553</contract-num>
<contract-sponsor id="cn001">Fondo Nacional de Desarrollo Cient&#xed;fico y Tecnol&#xf3;gico<named-content content-type="fundref-id">10.13039/501100002850</named-content>
</contract-sponsor>
<counts>
<page-count count="14"/>
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<meta-name>section-at-acceptance</meta-name>
<meta-value>Biomaterials</meta-value>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Urethral catheters (UCs) are pliable plastic tubes carefully inserted into the urinary bladder through the urethra, serving the purpose of collecting urine in a drainage bag (<xref ref-type="bibr" rid="B15">Chuang and Tambyah, 2021</xref>; <xref ref-type="bibr" rid="B47">Newman et al., 2018</xref>). As indispensable devices in patient care, catheters rank among the most extensively utilized medical tools in hospital settings. They find application in patients with urinary obstruction, both preceding and following specific surgical procedures. Additionally, catheters play a crucial role in aiding various treatments, such as ensuring precise measurement of urine output, managing incontinence, or facilitating the direct administration of particular medications into the bladder.</p>
<p>Despite their valuable utility, prolonged use of these devices comes with the risk of serious complications, notably the occurrence of catheter-associated urinary tract infections (CAUTIs), recognized as the most prevalent cause of healthcare-associated infections (HAIs) (<xref ref-type="bibr" rid="B58">Teixeira-Santos et al., 2022</xref>; <xref ref-type="bibr" rid="B59">Tenke et al., 2017</xref>). Alarmingly, approximately 15%&#x2013;25% of hospitalized patients undergo catheterization, underlining the widespread usage and the associated risks. In both Europe and the United States, the annual incidence of CAUTIs surpasses one million cases, contributing to escalated morbidity and mortality rates (<xref ref-type="bibr" rid="B12">Cai et al., 2023</xref>; <xref ref-type="bibr" rid="B49">&#xd6;zt&#xfc;rk and Murt, 2020</xref>).</p>
<p>In this context, rates of CAUTIs are significantly higher in Latin American hospitals than in industrialized countries (<xref ref-type="bibr" rid="B66">Yin et al., 2023</xref>). For example, CAUTIs in Chile have shown a notable and consistent increase. Prevalence studies conducted by the Ministry of Health (<xref ref-type="bibr" rid="B62">Unidad de Infecciones Intrahospitalarias, 2020</xref>) highlight CAUTIs as the most frequently reported infections across hospitals of varying complexity levels nationwide. Noteworthy is the significant prevalence of CAUTIs observed from 2014 to 2019, primarily attributed to the extensive use of UCs within a substantial patient population. Among the six medical devices examined in the HAIs surveillance report, UCs emerged as the most widely employed, boasting the highest utilization percentage compared to oral parenteral nutrition, other probes, and mechanical ventilation (<xref ref-type="bibr" rid="B62">Unidad de Infecciones Intrahospitalarias, 2020</xref>).</p>
<p>In that sense, catheterization could be considered a contraindication as it is closely associated with a heightened probability of CAUTIs (<xref ref-type="bibr" rid="B15">Chuang and Tambyah, 2021</xref>). These infections result from the formation of biofilms on UCs, consisting of bacteria that exhibit reduced sensitivity to antibiotics. Additionally, CAUTIs are associated with increased mortality rates, prolonged hospitalization times, and higher hospital expenses (<xref ref-type="bibr" rid="B24">Gray et al., 2023</xref>; <xref ref-type="bibr" rid="B29">Hollenbeak and Schilling, 2018</xref>). In some cases, this CAUTIs incidence was worsened by the impact of the COVID-19 pandemic due to the large volume of patients requiring advanced medical care and subsequent depleted resources (<xref ref-type="bibr" rid="B32">Hyte et al., 2023</xref>; <xref ref-type="bibr" rid="B43">Mitra et al., 2021</xref>).</p>
<p>Gram-negative bacteria are the most common causative agents of urinary tract infections (UTIs), including <italic>Escherichia coli</italic>, <italic>Proteus mirabilis</italic>, <italic>Klebsiella pneumoniae</italic>, and <italic>Pseudomonas aeruginosa</italic> (<xref ref-type="bibr" rid="B39">Majumder et al., 2018</xref>). Although Gram-positive bacteria are generally less prevalent (<xref ref-type="bibr" rid="B4">Alshomrani et al., 2023</xref>), recent studies have reported a growing incidence of <italic>S. aureus</italic> in cases of asymptomatic bacteriuria and complicated UTIs, particularly among elderly individuals, recently hospitalized patients, and those with indwelling urinary catheters (<xref ref-type="bibr" rid="B50">Paudel et al., 2023</xref>). Furthermore, <italic>Candida species</italic> can thrive and proliferate in the urinary tract environment (<xref ref-type="bibr" rid="B65">Yao et al., 2022</xref>). All these CAUTI-associated pathogens exhibit multiple virulence factors including fimbrial adhesins, urease activity, biofilm formation, and immune evasion proteins. These traits facilitate catheter colonization and persistence. Ciprofloxacin (CFX) targets bacterial DNA gyrase but may be ineffective against sessile, biofilm-embedded cells. Conversely, silver (Ag) exerts membrane-disruptive and metabolic effects independent of active replication, offering complementary protection. Understanding the interplay between drug action and pathogen virulence is key to designing effective coatings (<xref ref-type="bibr" rid="B23">Govindarajan and Kandaswamy, 2022</xref>; <xref ref-type="bibr" rid="B53">Sivaramalingam et al., 2024</xref>).</p>
<p>In that sense, different strategies have been used to develop antimicrobial surfaces for UCs, which can be grouped into five strategies (<xref ref-type="bibr" rid="B58">Teixeira-Santos et al., 2022</xref>): 1) release of antimicrobial compounds (<xref ref-type="bibr" rid="B55">Srisang et al., 2020</xref>; <xref ref-type="bibr" rid="B38">Lin et al., 2021</xref>; <xref ref-type="bibr" rid="B42">Miao et al., 2023</xref>), 2) contact-killing (<xref ref-type="bibr" rid="B22">Gao et al., 2020</xref>; <xref ref-type="bibr" rid="B57">Tailly et al., 2021</xref>; <xref ref-type="bibr" rid="B6">Bai et al., 2023</xref>), 3) anti-adhesive (<xref ref-type="bibr" rid="B67">Yu et al., 2017</xref>; <xref ref-type="bibr" rid="B69">Zhang et al., 2019</xref>; <xref ref-type="bibr" rid="B51">Prateeksha et al., 2021</xref>), 4) disruption of biofilm architecture (<xref ref-type="bibr" rid="B18">Durgadevi et al., 2020</xref>; <xref ref-type="bibr" rid="B56">Swidan et al., 2022</xref>; <xref ref-type="bibr" rid="B16">da Silva et al., 2024</xref>), and 5) benign biofilms to inhibit pathogen colonization (<xref ref-type="bibr" rid="B70">Zhu et al., 2015</xref>; <xref ref-type="bibr" rid="B14">Carvalho et al., 2021</xref>).</p>
<p>Studies have reported antimicrobial coatings using silver nanoparticles (AgNPs) combined with antibiotics. However, many of these strategies face challenges such as nanoparticle aggregation, burst drug release, and limited control over release kinetics under physiological conditions (<xref ref-type="bibr" rid="B34">Kadirvelu et al., 2024</xref>). Our study advances this field by introducing a drug delivery system based on an antibacterial layer-by-layer (LbL) coating applied to commercial silicone urinary catheters (UCs) of two sizes (14Fr and 20Fr). The LbL architecture, fabricated by sequentially assembling carboxymethylcellulose (CMC) with the antibacterial chitosan-silver complex (CHI-Ag), allows modular control of coating thickness, drug loading, and silver integration. CFX was incorporated as a model drug to investigate controlled release performance. This dual-action system combines contact-killing properties with the sustained release of antimicrobial compounds. The coated UCs were subjected to morphological and physicochemical characterization, and their antibacterial efficacy was evaluated against both gram-negative <italic>E. coli</italic> and gram-positive <italic>S. aureus</italic> strains. Biological <italic>in vitro</italic> assays were performed using pristine, coated, and CFX-loaded coated samples. To elucidate the mechanisms of CFX loading and release, we implemented a mathematical model based on unidirectional diffusion governed by Fick&#x2019;s second law. Additionally, molecular dynamics (MD) simulations were employed to investigate the interactions between CFX and the coating matrix, using catheter-relevant geometries (14Fr/20Fr) to better represent real-world performance.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Materials</title>
<p>14Fr and 20Fr Foley silicone UCs were acquired from Chen Kang<sup>&#xae;</sup> (China); their nominal diameters were 4.7&#xa0;mm and 6.7&#xa0;mm, respectively. The following reagents were procured from Sigma&#x2013;Aldrich (United States): polyethylenimine (PEI), a 50&#xa0;wt% solution in water with an average molecular weight (Mw) <inline-formula id="inf6">
<mml:math id="m6">
<mml:mrow>
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<mml:mn>7.5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
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<mml:mrow>
<mml:mn>0</mml:mn>
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</inline-formula> g/mol (PDI <inline-formula id="inf7">
<mml:math id="m7">
<mml:mrow>
<mml:mo>&#x2264;</mml:mo>
</mml:mrow>
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</inline-formula>1.3) determined using light scattering; carboxymethylcellulose (CMC) with an average Mw <inline-formula id="inf8">
<mml:math id="m8">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>9</mml:mn>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 10<sup>4</sup>&#xa0;g/mol and a degree of substitution of 0.9; chitosan (CHI) with an average Mw <inline-formula id="inf9">
<mml:math id="m9">
<mml:mrow>
<mml:mo>&#x2248;</mml:mo>
<mml:mn>5</mml:mn>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 10<sup>4</sup>&#xa0;g/mol and 75%&#x2013;85% deacetylated; methylene blue (MB) with Mw &#x3d; 373.90&#xa0;g/mol; and Rose Bengal (RB) with Mw &#x3d; 1,017.64&#xa0;g/mol.</p>
<p>Additionally, the following chemicals and substances were obtained from Merck (Germany): silver nitrate (<inline-formula id="inf10">
<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">g</mml:mi>
<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) with Mw &#x3d; 169.87&#xa0;g/mol; glacial acetic acid (<inline-formula id="inf11">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>COOH) with Mw &#x3d; 60.05&#xa0;g/mol; ascorbic acid (<inline-formula id="inf12">
<mml:math id="m12">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>6</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>H<sub>8</sub>O<sub>6</sub>) with Mw &#x3d; 176.12&#xa0;g/mol; hydrochloric acid (HCl) with Mw &#x3d; 36.46&#xa0;g/mol; sodium hydroxide (NaOH) with Mw &#x3d; 40.01&#xa0;g/mol; and hydrochlorinated ciprofloxacin (CFX) (<inline-formula id="inf13">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>17</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>H<sub>18</sub>FN<sub>3</sub>O<sub>3</sub>
<inline-formula id="inf14">
<mml:math id="m14">
<mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> HCl<inline-formula id="inf15">
<mml:math id="m15">
<mml:mrow>
<mml:mo>&#x22c5;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> <inline-formula id="inf16">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
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<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>O) with Mw &#x3d; 385.82&#xa0;g/mol. Milli-Q water was also obtained from Merck (Germany).</p>
</sec>
<sec id="s2-2">
<title>2.2 Layer-by-layer coating</title>
<p>UCs samples were cut to a length of 2.5&#xa0;cm using a scalpel and sealed at both ends using a silicone gun. Subsequently, the samples underwent oxidation in an oxygen plasma equipment (Harrick Plasma, United States) under low pressure (0.2&#xa0;mmHg) for 15&#xa0;min. This process enhances surface hydrophilicity and activates silanol groups on the PDMS surface, which improves the subsequent adsorption of PEI and the adhesion of the LbL assembly (<xref ref-type="bibr" rid="B26">Hernandez-Montelongo et al., 2017</xref>). Following this, a preliminary layer of PEI solution (1&#xa0;mg/mL, pH &#x3d; 4) was applied for 15&#xa0;min, followed by rinsing with Milli-Q water, pre-adjusted to pH 4.</p>
<p>The LbL coating incorporating silver was then executed using the method proposed by (<xref ref-type="bibr" rid="B44">Naveas et al., 2023</xref>). Briefly, the samples were immersed for 10&#xa0;min in a CMC solution (0.1% m/v, pH &#x3d; 4) and rinsed with Milli-Q water adjusted to pH 4. Subsequently, the samples were immersed for 10&#xa0;min in a chitosan-silver (CHI-Ag) solution (0.1% m/v CHI solution with 0.1&#xa0;mM <inline-formula id="inf17">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mrow>
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<mml:mi mathvariant="normal">N</mml:mi>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>3</mml:mn>
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</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, pH 4) and then rinsed with Milli-Q water at the same pH. This cycle was repeated ten times. Following the coating process, the samples were immersed in ascorbic acid for 3&#xa0;h to reduce the silver nitrate to silver. Finally, the samples were thoroughly rinsed with Milli-Q water adjusted to pH4, the silicone seals were removed, and the samples were dried.</p>
</sec>
<sec id="s2-3">
<title>2.3 Physicochemical characterization</title>
<p>The surface wettability of the samples was assessed using a water contact angle measuring system (Dropletlab, Canada) in static sessile drop mode. A 10 <inline-formula id="inf18">
<mml:math id="m18">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>L water drop was employed for each measurement, and five measurements were conducted. Roughness measurements were performed using a Dektak 150 stylus profilometer (Veeco, United States) with a force of 1.0&#xa0;mg and a scan speed of 17 <inline-formula id="inf19">
<mml:math id="m19">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>m/s.</p>
<p>For the evaluation of carboxylic and amino groups in UCs with LbL coating, samples underwent immersion in MB (0.001 M, pH &#x3d; 7) and RB (0.001 M, pH &#x3d; 5) solutions. This was followed by rinses with Milli-Q water. Subsequently, stains from the samples were extracted for UV&#x2013;vis spectroscopy measurements in absorbance mode. Samples treated with MB were immersed in a 5% (v/v) solution of glacial acetic acid, while those with RB were immersed in a 0.1&#xa0;M NaOH solution. The absorbance values for MB and RB were measured at 663&#xa0;nm (<xref ref-type="bibr" rid="B19">Eltaweil et al., 2020</xref>) and 545&#xa0;nm (<xref ref-type="bibr" rid="B7">Bayraktutan, 2020</xref>), respectively, using a UV-Vis spectrophotometer (Evolution 220 model, Thermo Scientific, United States).</p>
<p>Chemical analysis of the samples was conducted using Attenuated Total Reflectance Fourier-Transform Infrared Spectroscopy (ATR-FTIR). An FTIR spectrometer coupled with an ATR accessory using a zinc selenide crystal (CARY 630 FTIR Agilent Technologies, United States) was employed within the range of 4,000 to 600 <inline-formula id="inf20">
<mml:math id="m20">
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<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> with a resolution of 1 <inline-formula id="inf21">
<mml:math id="m21">
<mml:mrow>
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</mml:mrow>
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</inline-formula> (NS &#x3d; 4). The obtained spectra underwent mathematical processing through data smoothing and normalization.</p>
<p>The morphology of the samples was explored using a variable pressure scanning electron microscope (VP-SEM, SU-3500 Hitachi, Japan) with an acceleration voltage of 10&#xa0;kV. The acquired images underwent processing using the freely available ImageJ software, version 1.52k. For elemental mapping and atomic percentage determination, energy-dispersive X-ray analysis (EDX) was employed with an INCA X-sight system from Oxford Instruments integrated into the VP-SEM equipment.</p>
<p>X-ray Photoelectron Spectroscopy (XPS) was employed to analyze the surface chemical composition of the samples. XPS spectra were obtained using the Surface Analysis Station 150 XPS RQ300/2 (TAIB Instruments) equipped with a hemispherical electron analyzer and a Mg-anode X-ray source. The pass energy was set at 20&#xa0;eV, providing an overall resolution of 0.9&#xa0;eV. All XPS binding energies were referenced to the adventitious C 1s carbon peak at a binding energy of 284.6&#xa0;eV to account for surface charging effects. The XPS spectra were fitted using the CasaXPS software.</p>
<p>In-depth profiling of the silver into LbL coating was studied through Rutherford Backscattering Spectroscopy (RBS). RBS experiments were conducted at the standard beamline of the Center of Micro-analysis of Materials (CMAM, Spain) (<xref ref-type="bibr" rid="B52">Redondo-Cubero et al., 2021</xref>), which houses a 5&#xa0;MV Cockroft-Walton tandetron accelerator. In these experiments, 4&#xa0;MeV He<inline-formula id="inf22">
<mml:math id="m22">
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> ions were utilized, and the scattered ions were detected at a scattering angle of 170&#xb0; using a Si semiconductor particle detector. The vacuum conditions were maintained at approximately 5 <inline-formula id="inf23">
<mml:math id="m23">
<mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula> 10<inline-formula id="inf24">
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</mml:mrow>
</mml:math>
</inline-formula> Pa. Simulations and spectrum fitting were performed using SIMNRA 7.02 software (<xref ref-type="bibr" rid="B41">Mayer, 2014</xref>).</p>
</sec>
<sec id="s2-4">
<title>2.4 Drug loading and release profiles</title>
<p>Following the assembly of the LbL coating, each sample underwent a 12-h immersion in a ciprofloxacin (CFX) solution with a concentration of 1.33&#xa0;mg/mL. Subsequently, the samples were thoroughly rinsed with Milli-Q water and allowed to dry. To generate the release profiles of the CFX-loaded samples, they were placed in a phosphate-buffered saline (PBS) solution within a horizontal shaker set at 37&#xa0;&#xb0;C, pH of 7.6, and 50&#xa0;rpm. The concentration of CFX in PBS was determined at various release times over a 15-day period using a UV-Vis spectrophotometer (Evolution 220 model, Thermo Scientific, United States). CFX was detected at a wavelength of 275&#xa0;nm (<xref ref-type="bibr" rid="B61">Uddin et al., 2022</xref>). All experiments were conducted in triplicate, with non-functionalized samples serving as controls in the kinetic release experiments.</p>
</sec>
<sec id="s2-5">
<title>2.5 Antibacterial assays</title>
<p>The antibacterial activity of the samples was assessed using the agar diffusion method against two bacterial strains: <italic>Escherichia coli</italic> ATCC 25922 (gram-negative) and <italic>Staphylococcus aureus</italic> ATCC 25923 (gram-positive). Mueller-Hilton agar served as the medium for the diffusion method test. Bacterial strains were adjusted to a 0.5 McFarland standard concentration and inoculated onto solid media under aseptic conditions. Samples were then applied vertically onto the surface of the solid media and allowed to dry for 1&#xa0;h. The inoculated plates were incubated for 24&#xa0;h at 35&#xa0;&#xb0;C, after which the inhibition zones around the samples were measured from photographs of the plates using ImageJ software. Data were analyzed statistically by analysis of variance (ANOVA) with a subsequent Tukey post-hoc test using OriginLab v. 2022b software; p-values of 0.05 or less were considered statistically significant. All assays were performed in triplicate.</p>
</sec>
<sec id="s2-6">
<title>2.6 Mathematical model</title>
<p>The mathematical model utilized in this study is built around three consecutive processes centered on unidirectional diffusion governed by Fick&#x2019;s second law (<xref ref-type="bibr" rid="B27">Hernandez-Montelongo et al., 2022</xref>). These processes include drug loading, where samples are loaded with a highly concentrated drug solution; a resting stage, during which the drug continues to diffuse into the matrix samples; and drug delivery, where the drug is released from the samples into a PBS solution at 37&#xa0;&#xb0;C, simulating bodily fluid conditions.</p>
<p>The diffusion equation for the delivery system is shown in (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>):<disp-formula id="e1">
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</mml:mrow>
</mml:math>
</inline-formula> represents the diffusivity of CFX in the silicone urinary catheter (UC), which is assumed to remain constant. The reason for this is that, despite the structural differences between pristine silicone and the LbL coating, diffusivity (D) was assumed constant due to the significantly smaller thickness (<inline-formula id="inf29">
<mml:math id="m30">
<mml:mrow>
<mml:mo>&#x223c;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>1 <inline-formula id="inf30">
<mml:math id="m31">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) of the LbL film relative to the catheter wall (1 <inline-formula id="inf31">
<mml:math id="m32">
<mml:mrow>
<mml:mi>m</mml:mi>
<mml:mi>m</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>). As such, the LbL contribution to the overall diffusion pathway is minimal. Partition coefficients were used to account for differences in affinity. Finally, <inline-formula id="inf32">
<mml:math id="m33">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf33">
<mml:math id="m34">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the inner and outer diameters, respectively (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Scheme of the drug delivery system.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g001.tif">
<alt-text content-type="machine-generated">Diagram illustrating a cylindrical model with labeled equations and concepts. The left section shows diffusion with equations for flux, \( J = -D \frac{\partial C}{\partial r} \), and boundary conditions. The right section includes convection, showing flux \( J |_{r=R_2} = k_C (C |_{r=R_2} - C_{eq}) \), and relates concentration \( C \) with equilibrium concentration \( C_{eq} = \gamma C_L \). The central section displays the cylinder, labeled with parameters \( V_L \) and \( C_L(t) \).</alt-text>
</graphic>
</fig>
<p>At the beginning, the UC does not contain CFX, therefore the initial condition must be <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
<mml:math id="m35">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>,</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mspace width="2em"/>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>r</mml:mi>
<mml:mo>&#x3c;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>The inner region of the UC only contains air because it is closed before the experiment starts, thus we assume that CFX does not diffuse to this region and the boundary condition at <inline-formula id="inf34">
<mml:math id="m36">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>):<disp-formula id="e3">
<mml:math id="m37">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>On the other hand, the CFX&#x2019;s flux on the external surface of the UC varies depending on the stage of the process. At the CFX load stage, from <inline-formula id="inf35">
<mml:math id="m38">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf36">
<mml:math id="m39">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, due to the use of a highly concentrated solution of CFX, the external CFX concentration is practically constant and equal to <inline-formula id="inf37">
<mml:math id="m40">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (CFX concentration in the liquid bulk) and a convective process takes place. Thus, the boundary condition at <inline-formula id="inf38">
<mml:math id="m41">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is assumed to be:<disp-formula id="e4">
<mml:math id="m42">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mspace width="2em"/>
<mml:mn>0</mml:mn>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>Here in (<xref ref-type="disp-formula" rid="e4">Equation 4</xref>), <inline-formula id="inf39">
<mml:math id="m43">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf40">
<mml:math id="m44">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the convective and equilibrium partition coefficients, respectively, between the UC surface and the CFX solution. Here we assume that <inline-formula id="inf41">
<mml:math id="m45">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf42">
<mml:math id="m46">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> may be different for the non-coated and coated UC. Then, at the rest stage from <inline-formula id="inf43">
<mml:math id="m47">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> to <inline-formula id="inf44">
<mml:math id="m48">
<mml:mrow>
<mml:mi>t</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, the external surface of the UC is in contact with air, thus we assume that CFX does not diffuse to this region and the boundary condition at <inline-formula id="inf45">
<mml:math id="m49">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>):<disp-formula id="e5">
<mml:math id="m50">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mo>,</mml:mo>
<mml:mspace width="2em"/>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3c;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>&#x2264;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
</p>
<p>Finally, at the delivery stage, the UC is in contact with the PBS solution that initially has zero CFX concentration, but as the CFX diffuses from the UC surface to the PBS solution, the external CFX concentration in the PBS solution, <inline-formula id="inf46">
<mml:math id="m51">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:math>
</inline-formula>, increases. Thus, the boundary condition at <inline-formula id="inf47">
<mml:math id="m52">
<mml:mrow>
<mml:mi>r</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is assumed to be (<xref ref-type="disp-formula" rid="e6">Equation 6</xref>):<disp-formula id="e6">
<mml:math id="m53">
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>D</mml:mi>
<mml:mfrac>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>&#x2202;</mml:mi>
<mml:mi>r</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mfenced>
<mml:mo>,</mml:mo>
<mml:mspace width="2em"/>
<mml:mi>t</mml:mi>
<mml:mo>&#x3e;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>while the external CFX concentration in the PSB solution varies according to (<xref ref-type="disp-formula" rid="e7">Equation 7</xref>):<disp-formula id="e7">
<mml:math id="m54">
<mml:mrow>
<mml:mtable class="aligned">
<mml:mtr>
<mml:mtd columnalign="right">
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi>&#x3c0;</mml:mi>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mi>L</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="italic">PBS</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:msub>
<mml:mrow>
<mml:mi>k</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mfenced open="[" close="]">
<mml:mrow>
<mml:mi>C</mml:mi>
<mml:mfenced open="(" close=")">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>,</mml:mo>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfenced>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
<mml:msub>
<mml:mrow>
<mml:mi>C</mml:mi>
</mml:mrow>
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<label>(7)</label>
</disp-formula>where <inline-formula id="inf48">
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<p>In particular, if we consider a well mixed convection during the loading and delivery stages, then <inline-formula id="inf55">
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<label>(8)</label>
</disp-formula>
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<mml:math id="m65">
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<label>(9)</label>
</disp-formula>while the dynamical behavior of the external CFX concentration in the PBS solution becomes (<xref ref-type="disp-formula" rid="e10">Equation 10</xref>):<disp-formula id="e10">
<mml:math id="m66">
<mml:mrow>
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<mml:mo>&#x3d;</mml:mo>
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<mml:mrow>
<mml:mi mathvariant="italic">PBS</mml:mi>
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</mml:msub>
</mml:mrow>
</mml:mfrac>
<mml:mi>D</mml:mi>
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<mml:mrow>
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<mml:mo>&#x3d;</mml:mo>
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</mml:mrow>
</mml:math>
<label>(10)</label>
</disp-formula>
</p>
<p>In summary, the model is described by PDE (<xref ref-type="disp-formula" rid="e1">Equation 1</xref>), initial condition (<xref ref-type="disp-formula" rid="e2">Equation 2</xref>), and boundary condition (<xref ref-type="disp-formula" rid="e3">Equation 3</xref>) for all the domain of time. The boundary conditions (<xref ref-type="disp-formula" rid="e8">Equation 8</xref>) and (<xref ref-type="disp-formula" rid="e5">Equation 5</xref>) are used at load and rest stages, respectively, while boundary condition (<xref ref-type="disp-formula" rid="e9">Equation 9</xref>) and ODE (<xref ref-type="disp-formula" rid="e10">Equation 10</xref>) are used at delivery stage.</p>
</sec>
<sec id="s2-7">
<title>2.7 Molecular dynamics (MD) simulations</title>
<p>To gain deeper insights into the mechanisms governing the experimental behavior of controlled CFX release, quantum mechanical tools were employed in this study (<xref ref-type="bibr" rid="B1">Aazam and Thomas, 2024</xref>). The chemical structure of CFX was retrieved from the DrugBank database, identified by the code DB00537 (<xref ref-type="bibr" rid="B36">Knox et al., 2024</xref>). PDMS, CMC and the CHI-Ag complex were sketched using the freely available online tool Marvin JS (<ext-link ext-link-type="uri" xlink:href="https://marvinjs-demo.chemaxon.com/latest/demo.html">https://marvinjs-demo.chemaxon.com/latest/demo.html</ext-link>). These structures were obtained in XYZ format and individually optimized to their minimum energy states using the valence triple-zeta with two sets of polarization functions (def2-TZVPP) basis set for all atoms and the Becke, 3-parameter, Lee&#x2013;Yang&#x2013;Parr (B3LYP) hybrid functional (<xref ref-type="bibr" rid="B64">Weigend and Ahlrichs, 2005</xref>; <xref ref-type="bibr" rid="B8">Becke, 1992</xref>; <xref ref-type="bibr" rid="B2">AL-Khaykanee, 2013</xref>; <xref ref-type="bibr" rid="B48">Orio et al., 2009</xref>), implemented in the Orca 5.0.1 software package (<xref ref-type="bibr" rid="B45">Neese, 2012</xref>; <xref ref-type="bibr" rid="B46">Neese, 2022</xref>). The full optimized geometry of all molecules was verified by examining their imaginary frequencies.</p>
<p>After confirming that all molecules had reached their energy minima, the systems under investigation were assembled. These systems comprised two complexes: complex-1 consisted of three layers, with the inner and outer layers composed of PDMS molecules and a layer of three CFX molecules sandwiched between them at a distance of 3&#xc5;. Complex-2 consisted of six layers: the outermost layer contained two CFX molecules, followed by a layer of CHI-Ag at a distance of 3&#xc5;, a layer of two CFX molecules, a layer of CMC, another layer of two CFX molecules, a layer of one CHI-Ag molecule, and an innermost layer of three CFX molecules. Both complexes were constructed using the Chemcraft version 1.8 program for Linux (<xref ref-type="bibr" rid="B5">Andrienko, 2010</xref>) and simulated using the <italic>ab initio</italic> molecular dynamics (AIMD) method (<xref ref-type="bibr" rid="B9">Bocharov et al., 2020</xref>; <xref ref-type="bibr" rid="B60">Tse, 2002</xref>; <xref ref-type="bibr" rid="B40">Marx and Hutter, 2000</xref>). Each system underwent a simulation period of 100 fs (2000 steps) with a time step of 0.5 fs at a temperature of 298.15&#xa0;K. All <italic>ab initio</italic> MD simulations were conducted using the Orca 5.0.1 program package (<xref ref-type="bibr" rid="B45">Neese, 2012</xref>; <xref ref-type="bibr" rid="B46">Neese, 2022</xref>; <xref ref-type="bibr" rid="B54">Snyder and Kucukkal, 2021</xref>).</p>
</sec>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<p>In this work, UCs of varying diameters (14Fr and 20Fr) underwent a coating process involving a thin film of CMC/CHI-Ag, assembled through a layer-by-layer technique (LbL). The synthesis process is outlined schematically in <xref ref-type="fig" rid="F2">Figure 2</xref>. Given that polydimethylsiloxane (PDMS) serves as the basis for the silicone UCs (<xref ref-type="bibr" rid="B68">Zare et al., 2021</xref>), the surface of these devices is inherently hydrophobic. Thus, prior to coat the samples, a surface pretreatment involving <inline-formula id="inf57">
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</inline-formula> plasma oxidation, succeeded by PEI grafting was conducted. This well-established strategy ensures a more uniform and controlled synthesis of LbL films (<xref ref-type="bibr" rid="B26">Hernandez-Montelongo et al., 2017</xref>). Subsequently, a ten-cycles assembly process was executed, culminating in immersion in an ascorbic acid solution to facilitate the reduction of <inline-formula id="inf58">
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</mml:mrow>
</mml:math>
</inline-formula> within the coating matrix (<xref ref-type="bibr" rid="B44">Naveas et al., 2023</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic representation illustrating the assembly process of the coating composed of carboxymethylcellulose (CMC) and chitosan-silver (CHI-Ag) leading to a the Layer-by-Layer technique Ag loaded coating (LbL): The sample is immersed alternately in the respective polysaccharide electrolyte, followed by rinsing steps and <inline-formula id="inf60">
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<mml:mrow>
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</inline-formula> by ascorbic acid.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g002.tif">
<alt-text content-type="machine-generated">Flowchart showing a sample preparation process. Starts with oxidation by oxygen plasma, followed by steps involving PEI, rinse, CMC, and CHI-Ag with a repeated cycle of rinse, CMC, and CHI-Ag ten times. Afterward, the sample undergoes ascorbic acid treatment, CFX loading, resulting in a coated and loaded sample. The prepared sample is analyzed for physicochemical characterization, drug release profiles, antibacterial assays, mathematical modeling, and molecular dynamics simulations.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F3">Figure 3A</xref> depicts UCs before and after the LbL coating, evident from the light brown appearance. Following the LbL treatment, the wettability of UC samples transitioned to a hydrophilic behavior, registering a change from 100 <inline-formula id="inf62">
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</inline-formula> 7&#xb0; for the 20Fr catheter. This shift is attributed to the presence of carboxylic groups in CMC, ammonium groups in CHI, and Ag in the coating. In <xref ref-type="fig" rid="F3">Figure 3B</xref>, contact angle images of the 14Fr (hydrophobic) and 14Fr-LbL (hydrophilic) samples are presented. Concurrently, the roughness experienced a significant alteration due to the LbL coating. Both 14Fr and 20Fr samples saw a substantial increase in roughness. 14Fr nearly doubled its roughness from 0.46 <inline-formula id="inf66">
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</mml:mrow>
</mml:math>
</inline-formula> 0.22 <inline-formula id="inf71">
<mml:math id="m81">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>m to 1.18 <inline-formula id="inf72">
<mml:math id="m82">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.42 <inline-formula id="inf73">
<mml:math id="m83">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>m. These values indicate the formation of a micro-structured coating on the surface.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>
<bold>(A)</bold> Urinary catheters before and after the layer-by-layer coating. <bold>(B)</bold> Water contact angle of pristine and coated sample (14Fr). <bold>(C)</bold> Absorbance of Rose Bengal and Methylene Blue obtained from pristine and coated samples (14Fr). <bold>(D)</bold> ATR-FTIR spectra of urinary catheters before and after the layer-by-layer coating.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g003.tif">
<alt-text content-type="machine-generated">(A) Image shows four samples labeled 14Fr, 14Fr-LbL, 20Fr, 20Fr-LbL, each a tube with varying thickness. (B) Two images displaying water contact angle measurements for 14Fr and 14Fr-LbL samples. (C) Graph of absorbance versus wavenumber with four lines, indicating variations in samples. (D) Two transmittance vs. wavenumber graphs, illustrating chemical bonds; left for 14Fr and 14Fr-LbL, right for 20Fr and 20Fr-LbL.</alt-text>
</graphic>
</fig>
<p>UV&#x2013;Vis spectroscopy served as a tool to indirectly identify the carboxylic groups of CMC (negatively charged) by utilizing the oppositely charged stain methylene blue (MB) (positively charged) (<xref ref-type="bibr" rid="B19">Eltaweil et al., 2020</xref>). Likewise, to indirectly detect the ammonium groups of CHI (positively charged), the stain Rose Bengal (RB) (negatively charged) was applied (<xref ref-type="bibr" rid="B7">Bayraktutan, 2020</xref>). <xref ref-type="fig" rid="F3">Figure 3C</xref> illustrates the absorbance peaks of MB and RB for both the 14Fr and 14Fr-LbL samples. The pristine 14Fr sample displayed low absorbance values: 0.089 for MB and 0.020 for RB. In contrast, the coated 14Fr-LbL sample exhibited significantly higher absorbance peaks, measuring 0.476 for MB and 0.635 for RB. A similar trend was observed in the 20Fr and 20Fr-LbL samples.</p>
<p>The chemical analysis of the samples was conducted using ATR-FTIR to directly identify the surface modifications (<xref ref-type="fig" rid="F3">Figure 3D</xref>). The bending vibrations of the fingerprint functional groups of PDMS were discerned, including Si-(<inline-formula id="inf74">
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</inline-formula>), symmetric bending of Si-CH<sub>3</sub> (1,263 <inline-formula id="inf76">
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<mml:mrow>
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<mml:mrow>
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<mml:mrow>
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</inline-formula>) from CH<sub>3</sub>, and Si-O-Si stretching at 1,065 <inline-formula id="inf78">
<mml:math id="m88">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
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<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
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</inline-formula> and 1,007 <inline-formula id="inf79">
<mml:math id="m89">
<mml:mrow>
<mml:msup>
<mml:mrow>
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</inline-formula>, observed in the spectra of both control samples (14Fr and 20Fr) and coated samples (14Fr-LbL and 20Fr-LbL) (<xref ref-type="bibr" rid="B10">Bodas and Khan-Malek, 2006</xref>). Furthermore, a broad band at 3,400 <inline-formula id="inf80">
<mml:math id="m90">
<mml:mrow>
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<mml:mrow>
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</inline-formula> corresponding to O-H stretching of CMC and CHI was detected. <inline-formula id="inf81">
<mml:math id="m91">
<mml:mrow>
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<mml:mrow>
<mml:msub>
<mml:mrow>
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<mml:mrow>
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<mml:mo>&#x2b;</mml:mo>
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</inline-formula> bending vibration at 1,624 <inline-formula id="inf82">
<mml:math id="m92">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
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</inline-formula> of CHI and -C&#x3d;O antisymmetric stretching vibration at 1,580 <inline-formula id="inf83">
<mml:math id="m93">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mi mathvariant="normal">c</mml:mi>
<mml:mi mathvariant="normal">m</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
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</inline-formula> of CMC were also identified (<xref ref-type="bibr" rid="B11">Bozo&#x11f;lan et al., 2020</xref>).</p>
<p>
<xref ref-type="fig" rid="F4">Figure 4A</xref> displays cross-sectional SEM images of both UCs. The 14Fr sample exhibited external and internal diameters of 4.7&#xa0;mm and 2.7&#xa0;mm, respectively. In the case of the 20Fr sample, its external and internal diameters were 6.7&#xa0;mm and 4.7&#xa0;mm, respectively. Both UCs presented a wall thickness of 1&#xa0;mm. Moreover, the typical inflation cuff orifice of Foley catheters was also observed in both samples. UCs submitted to the layer-by-layer treatment showed a thin coating of 1.3 <inline-formula id="inf84">
<mml:math id="m94">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.2 <inline-formula id="inf85">
<mml:math id="m95">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>m for 14Fr (<xref ref-type="fig" rid="F4">Figure 4B</xref>) and 1.6 <inline-formula id="inf86">
<mml:math id="m96">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.4 <inline-formula id="inf87">
<mml:math id="m97">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>m for 20Fr (<xref ref-type="fig" rid="F4">Figure 4C</xref>). To confirm that the observed coating belongs to the LbL film, EDX analysis was performed on samples. In the pristine 14Fr catheter, C, O, and Si were detected, in agreement with their PDMS composition (<xref ref-type="fig" rid="F4">Figure 4D</xref>). EDX mapping also presents these elements on the edge of the surface of the sample. However, in the case of the coated sample (14Fr&#x2010;LbL; <xref ref-type="fig" rid="F4">Figure 4E</xref>), Ag was also detected at a mass percent of 1.5 <inline-formula id="inf88">
<mml:math id="m98">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.6%. EDX mapping shows a high signal of Ag in the coating matrix. For 20Fr-LbL, a similar tendency was observed with a mass percent of 1.6 <inline-formula id="inf89">
<mml:math id="m99">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.2%.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Cross-sectional SEM images of 14Fr and 20Fr catheters. <bold>(B)</bold> Thickness of the 14Fr-LbL film. <bold>(C)</bold> Thickness of the 20Fr-LbL film. <bold>(D)</bold> EDX analysis and mapping of the 14Fr sample. <bold>(E)</bold> EDX analysis and mapping of the 14Fr-LbL sample.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g004.tif">
<alt-text content-type="machine-generated">Composite image showing five panels: (A) Cross-sectional views of 14Fr and 20Fr samples, marked with size bars. (B) SEM image of 14Fr-LbL coating with a labeled layer measuring 1.3&#xB1;0.2 micrometers. (C) SEM image of 20Fr-LbL coating with a labeled layer measuring 1.6&#xB1;0.4 micrometers. (D) EDX spectrum and elemental mapping for 14Fr, highlighting carbon, oxygen, and silicon presence. (E) EDX spectrum and elemental mapping for 14Fr-LbL, highlighting carbon, oxygen, aluminum, silicon, and silver presence.</alt-text>
</graphic>
</fig>
<p>Rutherford Backscattering Spectrometry (RBS) was performed to analyze the diffusion of silver (Ag) in the UCs. <xref ref-type="fig" rid="F5">Figure 5A</xref> shows the RBS spectrum obtained for the 14Fr-LbL sample. Five element-related signals can be observed, corresponding to carbon (C), nitrogen (N), oxygen (O), silicon (Si), and silver (Ag). The Ag signal shows a peak at a backscattering energy of 3,359&#xa0;keV, whereas, for Ag atoms on the surface, a backscattering energy of 3,447&#xa0;keV would be expected. This indicates that silver has infiltrated towards the bulk material of the LbL coating.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> RBS experimental and simulated spectra and <bold>(B)</bold> derived in-depth concentration profile of Ag obtained via RBS fitting. XPS analysis on 14Fr-(LbL-Ag) sample: <bold>(C)</bold> survey spectra of 14Fr-(LbL-Ag) sample and, XPS spectra of <bold>(D)</bold> Ag 3d and <bold>(E)</bold> Si 2p core levels.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g005.tif">
<alt-text content-type="machine-generated">Graph set displaying multiple analyses:A) Backscattering energy graph showing yield counts versus energy (keV) with elements like C, N, O, Si, Ag.B) Depth profile of silver (Ag) weight percentage versus depth (atoms per square centimeter).C) Intensity versus binding energy (eV) showing peaks for elements like C, O, N, Ag, Si.D) Zoomed-in intensity peak from 366 to 378 eV, highlighting specific binding energies.E) Single peak intensity graph from 100 to 104 eV. Key scientific terms are noted, illustrating element identification through spectroscopy.</alt-text>
</graphic>
</fig>
<p>The in-depth compositional profile of silver was estimated by fitting the RBS spectrum using the Simnra 7.03 software, as shown in <xref ref-type="fig" rid="F5">Figure 5B</xref>. For this analysis, a structure composed of up to 20 layers of material was considered, each with varying thickness and concentrations of C, N, O, Si, and Ag. The results confirm that the concentration of Ag on the coating surface is only 0.4%, while deeper within the material, the weight percentage increases up to 3.2%.</p>
<p>The surface chemical composition of the UCs was studied via X-ray Photoelectron Spectroscopy (XPS). <xref ref-type="fig" rid="F5">Figure 5C</xref> shows the XPS spectrum of the 14Fr-LbL samples. The survey spectrum reveals the presence of carbon (C), nitrogen (N), oxygen (O), silicon (Si), and silver (Ag). A quantitative estimation of the surface composition was performed based on the intensity of the signals associated to each element, using the sensitivity factors compiled by (<xref ref-type="bibr" rid="B63">Wagner et al., 1981</xref>). In this way, the surface concentration of silver was estimated to be 0.4%, consistent with the amount of silver observed in the outermost layer as estimated by RBS.</p>
<p>
<xref ref-type="fig" rid="F5">Figure 5D</xref> shows the spectral region corresponding to Ag 3d. Two peaks are observed at 368.3&#xa0;eV and 374.3&#xa0;eV, corresponding to the photoemission peaks associated with the Ag <inline-formula id="inf90">
<mml:math id="m100">
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mrow>
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<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mo>/</mml:mo>
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<mml:math id="m101">
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:msub>
<mml:mrow>
<mml:mi>d</mml:mi>
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<mml:mn>3</mml:mn>
<mml:mo>/</mml:mo>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>, respectively. The binding energy of these peaks is consistent with <inline-formula id="inf92">
<mml:math id="m102">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Ag</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
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</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="bibr" rid="B20">Ferraria et al., 2012</xref>; <xref ref-type="bibr" rid="B21">Firet et al., 2019</xref>). In addition to the metallic peaks, two additional bands were detected at 369.5&#xa0;eV and 376.7&#xa0;eV. Previous studies have attributed these bands to silver clusters smaller than 4&#xa0;nm (<xref ref-type="bibr" rid="B13">Calderon V. et al., 2013</xref>). However, the intensity of these bands is relatively low, accounting for approximately 15% of the total intensity of the peak associated to silver.</p>
<p>
<xref ref-type="fig" rid="F5">Figure 5E</xref> shows the spectral region corresponding to Si 2p. The region is accurately fitted with a single Gaussian-Lorentzian peak centered at 102.7&#xa0;eV, which is consistent with the formation of Si-O bond (<xref ref-type="bibr" rid="B35">Kaur et al., 2016</xref>; <xref ref-type="bibr" rid="B37">Kong et al., 2020</xref>).</p>
<p>To evaluate the ciprofloxacin (CFX) delivery performance of the coated samples, experiments were conducted in PBS at 37&#xa0;&#xb0;C and pH 7.6 under stirring conditions. A pH of 7.6 is close to physiological conditions and falls within the typical range of urine (pH 4.5&#x2013;8.0), which can vary depending on hydration levels and overall health status. Both control and coated samples were loaded with highly concentrated solutions of the antibiotic for 12&#xa0;h and then stored for 24&#xa0;h (resting stage) prior to use in the experiments. The drug release profiles obtained are presented in <xref ref-type="fig" rid="F6">Figures 6A,B</xref>. The results indicate that pristine samples (14Fr and 20Fr) exhibited significant release of CFX, demonstrating the chemical compatibility between the antibiotic&#x2019;s structure and the silicone substrates (<xref ref-type="bibr" rid="B30">Hui et al., 2008</xref>). In that sense, the released amount of CFX for both control samples was similar, approximately 30 <inline-formula id="inf93">
<mml:math id="m103">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>g/cm<sup>2</sup>. On the other hand, the coated samples demonstrated a substantial capacity to release higher amounts of CFX, despite having only a micron-thick LbL film on both UCs. Both coated samples, 14Fr-LbL and 20Fr-LbL, released around 70 <inline-formula id="inf94">
<mml:math id="m104">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>g/cm<sup>2</sup>, more than double the amount released by the control samples. This illustrates the high capacity of the LbL matrix to load and release CFX. Although the long-term durability of the LbL coating under storage conditions was not tested in this study, similar polyelectrolyte-based systems have shown stability over months when stored in dry, dark environments. Future work will evaluate performance degradation over time.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>Drug release profiles of CFX from: <bold>(A)</bold> 14Fr and 14Fr-LbL, and <bold>(B)</bold> 20Fr and 20Fr-LbL. Antibacterial tests of samples against: <bold>(C)</bold> <italic>Escherichia coli</italic>, and <bold>(D)</bold> <italic>Staphylococcus aureus</italic>. Labels mean 14Fr and 20Fr are uncoated, 14Fr-LbL and 20Fr-LbL are LbL coated, 14Fr/CFX and 20Fr/CFX are uncoated but CFX-loaded, 14Fr-LbL/CFX and 20Fr-LbL/CFX are LbL-coated and CFX-loaded. Results represent mean <inline-formula id="inf100">
<mml:math id="m110">
<mml:mrow>
<mml:mo>&#xb1;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> SD of three measurements, statistically interpreted by analysis of variance (ANOVA) with subsequent Tukey post-hoc test. Significant differences are presented as &#x2a; is p-value <inline-formula id="inf101">
<mml:math id="m111">
<mml:mrow>
<mml:mo>&#x2264;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.05, &#x2a;&#x2a; is p-value <inline-formula id="inf102">
<mml:math id="m112">
<mml:mrow>
<mml:mo>&#x2264;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.01 and &#x2a;&#x2a;&#x2a; is p-value <inline-formula id="inf103">
<mml:math id="m113">
<mml:mrow>
<mml:mo>&#x2264;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 0.001. Horizontal lines indicate the diameter of UCs.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g006.tif">
<alt-text content-type="machine-generated">Graphs illustrate drug release and bacterial inhibition. (A) and (B) show cumulative drug release over time for 14Fr and 20Fr samples, with LbL samples releasing more. (C) and (D) depict inhibition zones for E. coli and S. aureus, demonstrating LbL samples have greater antibacterial effect. Statistical significance is noted by asterisks.</alt-text>
</graphic>
</fig>
<p>Furthermore, <xref ref-type="fig" rid="F6">Figures 6C,D</xref> illustrate the antibacterial efficacy of the samples against <italic>E. coli</italic> and <italic>S. aureus</italic>. For the <italic>E. coli</italic> strain (<xref ref-type="fig" rid="F6">Figure 6C</xref>), the pristine samples (14Fr and 20Fr) exhibited no antibacterial activity. However, the coated samples 14Fr-LbL and 20Fr-LbL displayed inhibition areas of 10 and 13&#xa0;mm, respectively. These inhibition zones noted for the LbL-only samples might indicate limited diffusion of silver ions caused by surface-anchored <inline-formula id="inf95">
<mml:math id="m105">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Ag</mml:mtext>
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<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
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</mml:mrow>
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</inline-formula> because <italic>E. coli</italic>, and <italic>S. aureus</italic>, are generally silver-tolerant up to 1.7&#x2013;54&#xa0;mg/L (<xref ref-type="bibr" rid="B25">Gugala et al., 2019</xref>; <xref ref-type="bibr" rid="B28">Hochvaldov&#xe1; et al., 2024</xref>) by involving the aggregation of AgNPs leading to the formation of black precipitates: <italic>E. coli</italic> triggers flagellin-mediated AgNPs aggregation, whereas <italic>S. aureus</italic> accelerates biofilm-induced aggregation (<xref ref-type="bibr" rid="B28">Hochvaldov&#xe1; et al., 2024</xref>). Our observation of growth inhibition suggests that the local <inline-formula id="inf96">
<mml:math id="m106">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Ag</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2b;</mml:mo>
</mml:mrow>
</mml:msup>
</mml:mrow>
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</inline-formula> concentration at the catheter surface reached, at least transiently, in the 0.05&#x2013;0.20&#xa0;ppm (5&#x2013;20 <inline-formula id="inf97">
<mml:math id="m107">
<mml:mrow>
<mml:mi>&#x3bc;</mml:mi>
</mml:mrow>
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</inline-formula>g/L) range since these concentrations fall within the bactericidal window reported for silver-polymer coatings (<xref ref-type="bibr" rid="B33">Jung et al., 2008</xref>; <xref ref-type="bibr" rid="B3">Aldakheel et al., 2023</xref>). On the other hand, the stronger antibacterial effect observed in the <italic>E. coli</italic> assay compared to <italic>S. aureus</italic> can be attributed to the greater efficacy of silver ions against Gram-negative bacteria. This is likely due to the thicker peptidoglycan layer in <italic>S. aureus</italic>, which may hinder the penetration of silver ions through the bacterial cell wall (<xref ref-type="bibr" rid="B33">Jung et al., 2008</xref>). Moreover, due to the loading and release capacity of the control samples for CFX, they exhibited inhibition zones of 35&#xa0;mm for 14Fr/CFX and 32&#xa0;mm for 20Fr/CFX. In the case of coated samples loaded with CFX, its enhanced antibacterial activity is chiefly attributable to increased CFX loading and diffusion: 14Fr-LbL/CFX and 20Fr-LbL/CFX achieved inhibition zones of 40 and 35&#xa0;mm, respectively. It is noteworthy that samples loaded with CFX, both uncoated and coated, exhibited similar inhibition diameters because they released similar amounts of CFX. It is worth noting that both LbL and non-LbL CFX-loaded catheters exceeded the CLSI-defined inhibition zone threshold of <inline-formula id="inf98">
<mml:math id="m108">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>26&#xa0;mm for <italic>E. coli</italic> susceptibility to CFX (<xref ref-type="bibr" rid="B31">Humphries et al., 2019</xref>) suggesting that both approaches deliver clinically meaningful antibiotic levels.</p>
<p>Also, it is important to note that an increase in the surface roughness and the transition from a hydrophobic to a hydrophilic surface (as shown in <xref ref-type="fig" rid="F3">Figures 3A,B</xref>) after the LBL procedure may enhance bacterial adhesion. However, this effect could be counteracted by the strong antibacterial properties of silver and CFX, which help prevent early-stage colonization. Nonetheless, further studies are needed to evaluate long-term biofilm formation under dynamic conditions in the urinary tract.</p>
<p>In the case of the <italic>S. aureus</italic> strain (<xref ref-type="fig" rid="F6">Figure 6D</xref>), pristine samples also showed no antibacterial effect, while coated samples only exhibited an inhibition zone corresponding to the diameter of the UCs: 4.7&#xa0;mm for 14Fr-LbL and 6.7&#xa0;mm for 20Fr-LbL. This indicates that the LbL coating solely functioned as an antibacterial surface. However, samples loaded with CFX demonstrated increased antibacterial efficacy: 14Fr/CFX and 20Fr/CFX exhibited inhibition zones of 15 and 10&#xa0;mm, respectively.Notably, the combined antibacterial activity resulting from the combination of the LbL coating and the CFX antibiotic was significantly enhanced for this strain. The 14Fr-LbL/CFX and 20Fr-LbL/CFX samples demonstrated inhibition zones of 27&#xa0;mm and 23&#xa0;mm, respectively. Both values exceed the CLSI threshold of <inline-formula id="inf99">
<mml:math id="m109">
<mml:mrow>
<mml:mo>&#x2265;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula>21&#xa0;mm for <italic>S. aureus</italic> susceptibility to CFX (<xref ref-type="bibr" rid="B17">Din et al., 2022</xref>), supporting the potential clinical utility of these coatings, even though <italic>S. aureus</italic> is not typically a predominant uropathogen. While these results against <italic>E. coli</italic> and <italic>S. aureus</italic> are promising, it is important to note that in clinical settings, catheter surfaces are often subject to biofilm formation and encrustation&#x2014;conditions that can impair antibiotic diffusion and silver efficacy. Biofilm formation and catheter encrustation, often exacerbated by urease-producing bacteria and alkaline urine, can form diffusion barriers that reduce antibiotic release and surface contact activity. Although our dual-action coating may delay biofilm development, future studies should assess release profiles under encrusted or biofilm-laden conditions to more accurately evaluate its performance and long-term clinical relevance.</p>
<p>To gain deeper insights into the mechanisms governing the release of CFX from both uncoated and coated samples, we developed a mathematical model accounting for the drug loading step and the resting stage (<xref ref-type="sec" rid="s2-6">Section 2.6</xref>). The kinetic parameters obtained from this model are presented in <xref ref-type="table" rid="T1">Table 1</xref>. Given that the wall thickness of the UCs is 1&#xa0;mm and the LbL coating is a micron-thick film, we assumed that the diffusivity (<inline-formula id="inf104">
<mml:math id="m114">
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) remains constant for both uncoated and coated samples at <inline-formula id="inf105">
<mml:math id="m115">
<mml:mrow>
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<mml:mo>&#xd7;</mml:mo>
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<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> cm<sup>2</sup>/h. However, the partition rates (<inline-formula id="inf106">
<mml:math id="m116">
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>) listed in <xref ref-type="table" rid="T1">Table 1</xref>, representing the drug solid&#x2013;liquid partition coefficient associated with equilibrium, varied depending on the type of solution used: highly concentrated CFX for loading (<inline-formula id="inf107">
<mml:math id="m117">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>) or the PBS solution used for drug delivery experiments (<inline-formula id="inf108">
<mml:math id="m118">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>), and the type of UC sample (uncoated or coated). Notably, the values for coated UCs were higher than those for the uncoated controls, indicating a greater affinity of CFX for the LbL film than for pristine samples.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Kinetic parameters.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th colspan="2" align="center">Diffusivity, <inline-formula id="inf109">
<mml:math id="m119">
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
<th align="center">
<inline-formula id="inf110">
<mml:math id="m120">
<mml:mrow>
<mml:mn>1.744</mml:mn>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>1</mml:mn>
<mml:msup>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>5</mml:mn>
</mml:mrow>
</mml:msup>
<mml:msup>
<mml:mrow>
<mml:mtext>cm</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msup>
<mml:mo>/</mml:mo>
<mml:mtext>h</mml:mtext>
</mml:mrow>
</mml:math>
</inline-formula>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="3" align="center">Partition rates</td>
</tr>
<tr>
<td align="center">UC-CFX solution, <inline-formula id="inf111">
<mml:math id="m121">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>L</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Control</td>
<td align="center">1.478</td>
</tr>
<tr>
<td align="left"/>
<td align="center">LbL</td>
<td align="center">3.928</td>
</tr>
<tr>
<td align="center">UC-PBS solution, <inline-formula id="inf112">
<mml:math id="m122">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>&#x3b3;</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>D</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula>
</td>
<td align="center">Control</td>
<td align="center">0.7688</td>
</tr>
<tr>
<td align="left"/>
<td align="center">LbL</td>
<td align="center">1.282</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>Using the kinetic parameters from <xref ref-type="table" rid="T1">Table 1</xref>, several simulations were conducted. The <xref ref-type="sec" rid="s11">Supplementary Figure S1A</xref> illustrates the CFX concentration inside the UCs immediately after the 12-h loading period. In all cases, both pristine (14Fr and 20Fr) and coated samples (14Fr-LbL and 20Fr-LbL) exhibited CFX accumulation at the border of the external wall of the UCs. However, after the 24-h rest stage preceding the drug delivery experiments (<xref ref-type="sec" rid="s11">Supplementary Figure S1B</xref>), simulations showed how CFX continues to diffuse through the samples. With these insights, finally, we were able to simulate the experimental data of CFX delivery over the 15-day release period (<xref ref-type="fig" rid="F7">Figure 7A</xref>). Additionally, owing to the characteristics of this mathematical model, we can predict how drug release profiles will differ based on varying drug loading and rest stage times (<xref ref-type="sec" rid="s11">Supplementary Figure S1C</xref>; <xref ref-type="fig" rid="F7">Figure 7B</xref>). Simulations indicated that extending the loading time may not necessarily result in higher CFX loading, as equilibrium is reached at the border of the external UCs wall. However, longer rest stage times enable more controlled release, as CFX becomes more homogeneously distributed throughout the samples.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> CFX release profiles: experimental data and simulations. <bold>(B)</bold> Simulations of drug release profiles considering different drug loading and rest stage times.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g007.tif">
<alt-text content-type="machine-generated">(A) Four graphs showing delivered mass over time for different conditions: 14Fr, 20Fr, 14Fr-LbL, and 20Fr-LbL. Each graph has an x-axis labeled &#x22;Time, t (h)&#x22; and a y-axis labeled &#x22;Delivered mass (&#x3BC;g/cm&#xB2;)&#x22; with plotted data points and error bars.(B) A graph depicting delivered mass over time for 20Fr-LbL under different loading and resting intervals. The x-axis shows &#x22;Time, t (h)&#x22; and the y-axis shows &#x22;Delivered mass (&#x3BC;g/cm&#xB2;)&#x22;. The legend indicates different loading and resting conditions with varied line styles.</alt-text>
</graphic>
</fig>
<p>
<xref ref-type="fig" rid="F8">Figure 8</xref> presents the molecular dynamics simulations. Complex-1 (<xref ref-type="fig" rid="F8">Figure 8A</xref>) shows a stable capacity for CFX loading within PDMS, as reflected by its consistent negative potential energy, approximately &#x2212;5 <inline-formula id="inf113">
<mml:math id="m123">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> (<xref ref-type="fig" rid="F8">Figure 8C</xref>), which remains steady over time. In contrast, Complex-2 (<xref ref-type="fig" rid="F8">Figure 8B</xref>), composed of micron-thick LbL layers, exhibits a greater capacity for CFX loading due to strong interactions between CFX and the CMC/CHI-Ag layers. This is illustrated by the notable contraction of the layers at step 500 (<xref ref-type="fig" rid="F8">Figure 8B</xref>), in comparison to the loading of CFX into PDMS at step 2000 (<xref ref-type="fig" rid="F8">Figure 8A</xref>). Furthermore, the observed increase in potential energy from &#x2212;2 to 3 <inline-formula id="inf114">
<mml:math id="m124">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> within the first femtoseconds illustrates the relatively lower stability of complex-2. This instability does not endanger the integrity of the structure, but rather, ensures proper biodegradation of the drug delivery system.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Molecular dynamics simulations: <bold>(A)</bold> Complex-1 [PDMS-CFX-PDMS] and <bold>(B)</bold> complex-2 [CFX-CHI-Ag-CFX-CMC-CFX-CHI-Ag-CFX]. 1 step &#x3d; 0.05 fs. <bold>(C)</bold> Potential energy of simulated complexes.</p>
</caption>
<graphic xlink:href="fbioe-13-1614509-g008.tif">
<alt-text content-type="machine-generated">Three-part image: (A) Molecular structures of PDMS and CFX at Step 1 and Step 2000, showing configuration changes. (B) Molecular structures of CFX, CHI-Ag, and CMC at Step 1 and Step 500, illustrating aggregation. (C) Graph of potential energy over trajectory steps for Complex-1 and Complex-2, with Complex-1 in red remaining stable, and Complex-2 in blue showing fluctuations.</alt-text>
</graphic>
</fig>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>This study successfully developed a dual strategy to create an antibacterial surface on commercial Foley silicone urinary catheters (UCs) by combining the contact-killing effect with the controlled release of antimicrobial compounds. Specifically, UCs were coated with an antibacterial drug delivery system using a Layer-by-Layer (LbL) approach that incorporated carboxymethylcellulose (CMC) and chitosan-silver (CHI-Ag) complexes, loaded with ciprofloxacin (CFX) as the model drug. The very thin LbL coating significantly enhanced drug loading and release, achieving over twice the amount of CFX release compared to uncoated catheters. The antibacterial efficacy was markedly improved in the coated samples, particularly against <italic>S. aureus</italic> than <italic>E. coli</italic>. Additionally, a mathematical model based on Fick&#x2019;s second law was proposed to simulate the experimental CFX release profiles, effectively predicting drug release kinetics by incorporating both drug loading and resting stages. Molecular dynamics simulations further confirmed strong compatibility between CFX and the LbL layers, although with relatively low stability. Despite the promising results, the study has certain limitations that should be addressed in future research. First, the antibacterial performance was evaluated only against planktonic forms of <italic>E. coli</italic> and <italic>S. aureus</italic>, without directly assessing biofilm formation or eradication on the catheter surface. Given the clinical importance of biofilms in CAUTIs, future studies should focus on quantifying biofilm inhibition and evaluating antimicrobial durability under physiologically dynamic conditions. Second, the release kinetics of silver from the layer-by-layer (LbL) coating were not investigated. Although silver was reduced to its elemental form (<inline-formula id="inf115">
<mml:math id="m125">
<mml:mrow>
<mml:msup>
<mml:mrow>
<mml:mtext>Ag</mml:mtext>
</mml:mrow>
<mml:mrow>
<mml:mn>0</mml:mn>
</mml:mrow>
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</mml:mrow>
</mml:math>
</inline-formula>) and embedded within the matrix, its potential leaching over time could affect long-term antibacterial activity and should be examined in relation to biofilm suppression. Overall, these findings highlight the potential of this coating strategy to enhance the performance and safety of urinary catheters, particularly in reducing the incidence of catheter-associated urinary tract infections (CAUTIs).</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="author-contributions" id="s6">
<title>Author contributions</title>
<p>RP: Writing &#x2013; original draft, Writing &#x2013; review and editing, Methodology, Conceptualization, Formal Analysis. NN: Formal Analysis, Methodology, Conceptualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. FF-A: Writing &#x2013; review and editing, Data curation, Methodology, Formal Analysis. MM-S: Formal Analysis, Data curation, Resources, Methodology, Writing &#x2013; review and editing, Funding acquisition. LS: Methodology, Formal Analysis, Writing &#x2013; review and editing. CT-U: Writing &#x2013; review and editing, Methodology, Formal Analysis. KM-U: Writing &#x2013; review and editing, Funding acquisition, Formal Analysis, Methodology, Resources. GR-S: Writing &#x2013; review and editing, Methodology, Formal Analysis. JG-S: Formal Analysis, Methodology, Writing &#x2013; review and editing. JH-M: Project administration, Formal Analysis, Methodology, Funding acquisition, Conceptualization, Writing &#x2013; review and editing, Writing &#x2013; original draft, Resources.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work received financial funding from FONDECYT&#x2013;Chile (grant number 1230553), CONICYT PFCHA/DOCTORADO/2017&#x2013;21172001, and was partially supported by the supercomputing infrastructure of the NLHPC (ECM-02) at the Universidad de Chile and the Centro de Computaci&#xf3;n Cient&#xed;fica-Universidad Aut&#xf3;noma de Madrid (CCC-UAM); thanks to CPU time and other resources granted by the institutions. Miguel Manso acknowledges support from the Spanish funding agency MCIN/AEI/10.13039/50110001 1033 (PID2020-112770RB-C22) for assistance with characterization. F.J.F-A acknowledges funding from the Formaci&#x2019; on de Profesorado Universitario programme, ref. FPU22/04365, and grants PID2022-141080OB-C22 and CNS2024-154729, funded by MCIN/AEI.</p>
</sec>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="ai-statement" id="s9">
<title>Generative AI statement</title>
<p>The author(s) declare that Generative AI was used in the creation of this manuscript. Generative AI was used solely to enhance English grammar. All content and interpretations are the sole responsibility of the authors.</p>
<p>Any alternative text (alt text) provided alongside figures in this article has been generated by Frontiers with the support of artificial intelligence and reasonable efforts have been made to ensure accuracy, including review by the authors wherever possible. If you identify any issues, please contact us.</p>
</sec>
<sec sec-type="disclaimer" id="s10">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s11">
<title>Supplementary material</title>
<p>The Supplementary Material for this article can be found online at: <ext-link ext-link-type="uri" xlink:href="https://www.frontiersin.org/articles/10.3389/fbioe.2025.1614509/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fbioe.2025.1614509/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="DataSheet1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
<ref-list>
<title>References</title>
<ref id="B1">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aazam</surname>
<given-names>E. S.</given-names>
</name>
<name>
<surname>Thomas</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>Understanding the behavior of a potential anticancer lamotrigine in explicit solvent (water and dmso) using quantum mechanical tools and abinitio molecular dynamics</article-title>. <source>Chem. Phys. Impact</source> <volume>8</volume>, <fpage>100404</fpage>. <pub-id pub-id-type="doi">10.1016/j.chphi.2023.100404</pub-id>
</citation>
</ref>
<ref id="B2">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Al-Khaykanee</surname>
<given-names>M. K.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Lee-yang-parr (b3lyp) density functional theory calculations of di-cyano naphthalene molecules group</article-title>. <source>Chem. Mater. Res.</source> <volume>3</volume>.</citation>
</ref>
<ref id="B3">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Aldakheel</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Mohsen</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>El Sayed</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Alawam</surname>
<given-names>K. A.</given-names>
</name>
<name>
<surname>Binshaya</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Alduraywish</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Silver nanoparticles loaded on chitosan-g-pva hydrogel for the wound-healing applications</article-title>. <source>Molecules</source> <volume>28</volume>, <fpage>3241</fpage>. <pub-id pub-id-type="doi">10.3390/molecules28073241</pub-id>
<pub-id pub-id-type="pmid">37050003</pub-id>
</citation>
</ref>
<ref id="B4">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Alshomrani</surname>
<given-names>M. K.</given-names>
</name>
<name>
<surname>Alharbi</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Alshehri</surname>
<given-names>A. A.</given-names>
</name>
<name>
<surname>Arshad</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Dolgum</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Alshomrani</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Isolation of staphylococcus aureus urinary tract infections at a community-based healthcare center in riyadh</article-title>. <source>Cureus</source> <volume>15</volume>, <fpage>e35140</fpage>. <pub-id pub-id-type="doi">10.7759/cureus.35140</pub-id>
<pub-id pub-id-type="pmid">36949976</pub-id>
</citation>
</ref>
<ref id="B5">
<citation citation-type="web">
<person-group person-group-type="author">
<name>
<surname>Andrienko</surname>
<given-names>G.</given-names>
</name>
</person-group> (<year>2010</year>). <article-title>Chemcraft-graphical software for visualization of quantum chemistry computations</article-title>. <comment>Available online at: <ext-link ext-link-type="uri" xlink:href="https://www.chemcraftprog.com">https://www.chemcraftprog.com</ext-link>.</comment>
</citation>
</ref>
<ref id="B6">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Ma</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Xiang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Hu</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Mussel-inspired surface modification of urinary catheters with both zwitterionic and bactericidal properties for effectively preventing catheter-associated infection</article-title>. <source>Chem. Eng. J.</source> <volume>455</volume>, <fpage>140766</fpage>. <pub-id pub-id-type="doi">10.1016/j.cej.2022.140766</pub-id>
</citation>
</ref>
<ref id="B7">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bayraktutan</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Investigation of photophysical and binding properties of rose bengal dye on graphene oxide and polyethyleneimine-functionalized graphene oxide nanocomposites</article-title>. <source>Chem. Pap.</source> <volume>74</volume>, <fpage>3017</fpage>&#x2013;<lpage>3024</lpage>. <pub-id pub-id-type="doi">10.1007/s11696-020-01130-4</pub-id>
</citation>
</ref>
<ref id="B8">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Becke</surname>
<given-names>A. D.</given-names>
</name>
</person-group> (<year>1992</year>). <article-title>Density-functional thermochemistry. i. the effect of the exchange-only gradient correction</article-title>. <source>J. Chem. Phys.</source> <volume>96</volume>, <fpage>2155</fpage>&#x2013;<lpage>2160</lpage>. <pub-id pub-id-type="doi">10.1063/1.462066</pub-id>
</citation>
</ref>
<ref id="B9">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bocharov</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Krack</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Rafalskij</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kuzmin</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Purans</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>
<italic>Ab initio</italic> molecular dynamics simulations of negative thermal expansion in scf3: the effect of the supercell size</article-title>. <source>Comput. Mater. Sci.</source> <volume>171</volume>, <fpage>109198</fpage>. <pub-id pub-id-type="doi">10.1016/j.commatsci.2019.109198</pub-id>
</citation>
</ref>
<ref id="B10">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bodas</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Khan-Malek</surname>
<given-names>C.</given-names>
</name>
</person-group> (<year>2006</year>). <article-title>Formation of more stable hydrophilic surfaces of pdms by plasma and chemical treatments</article-title>. <source>Microelectron. Eng.</source> <volume>83</volume>, <fpage>1277</fpage>&#x2013;<lpage>1279</lpage>. <pub-id pub-id-type="doi">10.1016/j.mee.2006.01.195</pub-id>
</citation>
</ref>
<ref id="B11">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Bozo&#x11f;lan</surname>
<given-names>B. K.</given-names>
</name>
<name>
<surname>Duman</surname>
<given-names>O.</given-names>
</name>
<name>
<surname>Tun&#xe7;</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Preparation and characterization of thermosensitive chitosan/carboxymethylcellulose/scleroglucan nanocomposite hydrogels</article-title>. <source>Int. J. Biol. Macromol.</source> <volume>162</volume>, <fpage>781</fpage>&#x2013;<lpage>797</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijbiomac.2020.06.087</pub-id>
<pub-id pub-id-type="pmid">32553980</pub-id>
</citation>
</ref>
<ref id="B12">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Cai</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Gu</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Dong</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zhao</surname>
<given-names>Q.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Antibacterial agnps-paam-cs-pvp nanocomposite hydrogel coating for urinary catheters</article-title>. <source>Eur. Polym. J.</source> <volume>196</volume>, <fpage>112260</fpage>. <pub-id pub-id-type="doi">10.1016/j.eurpolymj.2023.112260</pub-id>
</citation>
</ref>
<ref id="B13">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Calderon</surname>
<given-names>V. S.</given-names>
</name>
<name>
<surname>Galindo</surname>
<given-names>R. E.</given-names>
</name>
<name>
<surname>Benito</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Palacio</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Cavaleiro</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Carvalho</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2013</year>). <article-title>Ag&#x2b; release inhibition from zrcn&#x2013;ag coatings by surface agglomeration mechanism: structural characterization</article-title>. <source>J. Phys. D Appl. Phys.</source> <volume>46</volume>, <fpage>325303</fpage>. <pub-id pub-id-type="doi">10.1088/0022-3727/46/32/325303</pub-id>
</citation>
</ref>
<ref id="B14">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Carvalho</surname>
<given-names>F. M.</given-names>
</name>
<name>
<surname>Teixeira-Santos</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Mergulhao</surname>
<given-names>F. J.</given-names>
</name>
<name>
<surname>Gomes</surname>
<given-names>L. C.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Effect of lactobacillus plantarum biofilms on the adhesion of escherichia coli to urinary tract devices</article-title>. <source>Antibiotics</source> <volume>10</volume>, <fpage>966</fpage>. <pub-id pub-id-type="doi">10.3390/antibiotics10080966</pub-id>
<pub-id pub-id-type="pmid">34439016</pub-id>
</citation>
</ref>
<ref id="B15">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Chuang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Tambyah</surname>
<given-names>P. A.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Catheter-associated urinary tract infection</article-title>. <source>J. Infect. Chemother.</source> <volume>27</volume>, <fpage>1400</fpage>&#x2013;<lpage>1406</lpage>. <pub-id pub-id-type="doi">10.1016/j.jiac.2021.07.022</pub-id>
<pub-id pub-id-type="pmid">34362659</pub-id>
</citation>
</ref>
<ref id="B16">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>da Silva</surname>
<given-names>C. R.</given-names>
</name>
<name>
<surname>de Farias Cabral</surname>
<given-names>V. P.</given-names>
</name>
<name>
<surname>Rodrigues</surname>
<given-names>D. S.</given-names>
</name>
<name>
<surname>Ferreira</surname>
<given-names>T. L.</given-names>
</name>
<name>
<surname>Barbosa</surname>
<given-names>A. D.</given-names>
</name>
<name>
<surname>de Andrade Neto</surname>
<given-names>J. B.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Antibiofilm activity of promethazine against esbl-producing strains of escherichia coli in urinary catheters</article-title>. <source>Microb. Pathog.</source> <volume>193</volume>, <fpage>106769</fpage>. <pub-id pub-id-type="doi">10.1016/j.micpath.2024.106769</pub-id>
<pub-id pub-id-type="pmid">38955237</pub-id>
</citation>
</ref>
<ref id="B17">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Din</surname>
<given-names>M. S. U.</given-names>
</name>
<name>
<surname>Gohar</surname>
<given-names>U. F.</given-names>
</name>
<name>
<surname>Hameed</surname>
<given-names>U.</given-names>
</name>
<name>
<surname>Mukhtar</surname>
<given-names>H.</given-names>
</name>
<name>
<surname>Morar</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Herman</surname>
<given-names>V.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Piper nigrum fruit extract as an antibiotic resistance reversal agent in mdr bacteria</article-title>. <source>Appl. Sci.</source> <volume>12</volume>, <fpage>12542</fpage>. <pub-id pub-id-type="doi">10.3390/app122412542</pub-id>
</citation>
</ref>
<ref id="B18">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Durgadevi</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Kaleeshwari</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Swetha</surname>
<given-names>T. K.</given-names>
</name>
<name>
<surname>Alexpandi</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Pandian</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Ravi</surname>
<given-names>A. V.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Attenuation of proteus mirabilis colonization and swarming motility on indwelling urinary catheter by antibiofilm impregnation: an <italic>in vitro</italic> study</article-title>. <source>Colloids Surfaces B Biointerfaces</source> <volume>194</volume>, <fpage>111207</fpage>. <pub-id pub-id-type="doi">10.1016/j.colsurfb.2020.111207</pub-id>
<pub-id pub-id-type="pmid">32590245</pub-id>
</citation>
</ref>
<ref id="B19">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Eltaweil</surname>
<given-names>A. S.</given-names>
</name>
<name>
<surname>Elgarhy</surname>
<given-names>G. S.</given-names>
</name>
<name>
<surname>El-Subruiti</surname>
<given-names>G. M.</given-names>
</name>
<name>
<surname>Omer</surname>
<given-names>A. M.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Carboxymethyl cellulose/carboxylated graphene oxide composite microbeads for efficient adsorption of cationic methylene blue dye</article-title>. <source>Int. J. Biol. Macromol.</source> <volume>154</volume>, <fpage>307</fpage>&#x2013;<lpage>318</lpage>. <pub-id pub-id-type="doi">10.1016/j.ijbiomac.2020.03.122</pub-id>
<pub-id pub-id-type="pmid">32184142</pub-id>
</citation>
</ref>
<ref id="B20">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Ferraria</surname>
<given-names>A. M.</given-names>
</name>
<name>
<surname>Carapeto</surname>
<given-names>A. P.</given-names>
</name>
<name>
<surname>Botelho do Rego</surname>
<given-names>A. M.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>X-ray photoelectron spectroscopy: silver salts revisited</article-title>. <source>Vacuum</source> <volume>86</volume>, <fpage>1988</fpage>&#x2013;<lpage>1991</lpage>. <pub-id pub-id-type="doi">10.1016/j.vacuum.2012.05.031</pub-id>
</citation>
</ref>
<ref id="B21">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Firet</surname>
<given-names>N. J.</given-names>
</name>
<name>
<surname>Blommaert</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Burdyny</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Venugopal</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Bohra</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Longo</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Operando exafs study reveals presence of oxygen in oxide-derived silver catalysts for electrochemical co2 reduction</article-title>. <source>J. Mater. Chem. A</source> <volume>7</volume>, <fpage>2597</fpage>&#x2013;<lpage>2607</lpage>. <pub-id pub-id-type="doi">10.1039/C8TA10412C</pub-id>
</citation>
</ref>
<ref id="B22">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gao</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Sun</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Zou</surname>
<given-names>T.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Biomimetic biodegradable ag@ au nanoparticle-embedded ureteral stent with a constantly renewable contact-killing antimicrobial surface and antibiofilm and extraction-free properties</article-title>. <source>Acta Biomater.</source> <volume>114</volume>, <fpage>117</fpage>&#x2013;<lpage>132</lpage>. <pub-id pub-id-type="doi">10.1016/j.actbio.2020.07.025</pub-id>
<pub-id pub-id-type="pmid">32683042</pub-id>
</citation>
</ref>
<ref id="B23">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Govindarajan</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Kandaswamy</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Virulence factors of uropathogens and their role in host pathogen interactions</article-title>. <source>Cell Surf.</source> <volume>8</volume>, <fpage>100075</fpage>. <pub-id pub-id-type="doi">10.1016/j.tcsw.2022.100075</pub-id>
<pub-id pub-id-type="pmid">35198842</pub-id>
</citation>
</ref>
<ref id="B24">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gray</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Rachakonda</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Karnon</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Pragmatic review of interventions to prevent catheter-associated urinary tract infections (CAUTIs) in adult inpatients</article-title>. <source>J. Hosp. Infect.</source> <volume>136</volume>, <fpage>55</fpage>&#x2013;<lpage>74</lpage>. <pub-id pub-id-type="doi">10.1016/j.jhin.2023.03.020</pub-id>
<pub-id pub-id-type="pmid">37015257</pub-id>
</citation>
</ref>
<ref id="B25">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Gugala</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Vu</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Parkins</surname>
<given-names>M. D.</given-names>
</name>
<name>
<surname>Turner</surname>
<given-names>R. J.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Specificity in the susceptibilities of escherichia coli, pseudomonas aeruginosa and staphylococcus aureus clinical isolates to six metal antimicrobials</article-title>. <source>Antibiotics</source> <volume>8</volume>, <fpage>51</fpage>. <pub-id pub-id-type="doi">10.3390/antibiotics8020051</pub-id>
<pub-id pub-id-type="pmid">31052359</pub-id>
</citation>
</ref>
<ref id="B26">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hernandez-Montelongo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lucchesi</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Nascimento</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Fran&#xe7;a</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Gonzalez</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>Macedo</surname>
<given-names>W.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Antibacterial and non-cytotoxic ultra-thin polyethylenimine film</article-title>. <source>Mater. Sci. Eng. C</source> <volume>71</volume>, <fpage>718</fpage>&#x2013;<lpage>724</lpage>. <pub-id pub-id-type="doi">10.1016/j.msec.2016.10.064</pub-id>
<pub-id pub-id-type="pmid">27987765</pub-id>
</citation>
</ref>
<ref id="B27">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hernandez-Montelongo</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Salazar-Araya</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Hernandez-Montelongo</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Garcia-Sandoval</surname>
<given-names>J. P.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Mathematical modeling of recursive drug delivery with diffusion, equilibrium, and convection coupling</article-title>. <source>Mathematics</source> <volume>10</volume>, <fpage>2171</fpage>. <pub-id pub-id-type="doi">10.3390/math10132171</pub-id>
</citation>
</ref>
<ref id="B28">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hochvaldov&#xe1;</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Pan&#xe1;&#x10d;ek</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>V&#xe1;lkov&#xe1;</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Ve&#x10d;e&#x159;ov&#xe1;</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Kol&#xe1;&#x159;</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Prucek</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>
<italic>E. coli</italic> and s. aureus resist silver nanoparticles via an identical mechanism, but through different pathways</article-title>. <source>Commun. Biol.</source> <volume>7</volume>, <fpage>1552</fpage>. <pub-id pub-id-type="doi">10.1038/s42003-024-07266-3</pub-id>
<pub-id pub-id-type="pmid">39572718</pub-id>
</citation>
</ref>
<ref id="B29">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hollenbeak</surname>
<given-names>C. S.</given-names>
</name>
<name>
<surname>Schilling</surname>
<given-names>A. L.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>The attributable cost of catheter-associated urinary tract infections in the United States: a systematic review</article-title>. <source>Am. J. Infect. control</source> <volume>46</volume>, <fpage>751</fpage>&#x2013;<lpage>757</lpage>. <pub-id pub-id-type="doi">10.1016/j.ajic.2018.01.015</pub-id>
<pub-id pub-id-type="pmid">29478760</pub-id>
</citation>
</ref>
<ref id="B30">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hui</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Boone</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Jones</surname>
<given-names>L.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Uptake and release of ciprofloxacin-hcl from conventional and silicone hydrogel contact lens materials</article-title>. <source>Eye and contact lens</source> <volume>34</volume>, <fpage>266</fpage>&#x2013;<lpage>271</lpage>. <pub-id pub-id-type="doi">10.1097/icl.0b013e3181812ba2</pub-id>
<pub-id pub-id-type="pmid">18779666</pub-id>
</citation>
</ref>
<ref id="B31">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Humphries</surname>
<given-names>R. M.</given-names>
</name>
<name>
<surname>Hindler</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Shaffer</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Campeau</surname>
<given-names>S. A.</given-names>
</name>
</person-group> (<year>2019</year>). <article-title>Evaluation of ciprofloxacin and levofloxacin disk diffusion and etest using the 2019 enterobacteriaceae clsi breakpoints</article-title>. <source>J. Clin. Microbiol.</source> <volume>57</volume>, <fpage>e01797-18</fpage>&#x2013;<lpage>1128</lpage>. <pub-id pub-id-type="doi">10.1128/jcm.01797-18</pub-id>
<pub-id pub-id-type="pmid">30567744</pub-id>
</citation>
</ref>
<ref id="B32">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Hyte</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Clark</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Pandey</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Redden</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Roderick</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Brock</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>How covid-19 impacted cauti and clabsi rates in Alabama</article-title>. <source>Am. J. Infect. Control</source> <volume>52</volume>, <fpage>147</fpage>&#x2013;<lpage>151</lpage>. <pub-id pub-id-type="doi">10.1016/j.ajic.2023.05.014</pub-id>
<pub-id pub-id-type="pmid">37263421</pub-id>
</citation>
</ref>
<ref id="B33">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Jung</surname>
<given-names>W. K.</given-names>
</name>
<name>
<surname>Koo</surname>
<given-names>H. C.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>K. W.</given-names>
</name>
<name>
<surname>Shin</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Kim</surname>
<given-names>S. H.</given-names>
</name>
<name>
<surname>Park</surname>
<given-names>Y. H.</given-names>
</name>
</person-group> (<year>2008</year>). <article-title>Antibacterial activity and mechanism of action of the silver ion in staphylococcus aureus and escherichia coli</article-title>. <source>Appl. Environ. Microbiol.</source> <volume>74</volume>, <fpage>2171</fpage>&#x2013;<lpage>2178</lpage>. <pub-id pub-id-type="doi">10.1128/aem.02001-07</pub-id>
<pub-id pub-id-type="pmid">18245232</pub-id>
</citation>
</ref>
<ref id="B34">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kadirvelu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Sivaramalingam</surname>
<given-names>S. S.</given-names>
</name>
<name>
<surname>Jothivel</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Chithiraiselvan</surname>
<given-names>D. D.</given-names>
</name>
<name>
<surname>Govindarajan</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Kandaswamy</surname>
<given-names>K.</given-names>
</name>
</person-group> (<year>2024</year>). <article-title>A review on antimicrobial strategies in mitigating biofilm-associated infections on medical implants</article-title>. <source>Curr. Res. Microb. Sci.</source> <volume>6</volume>, <fpage>100231</fpage>. <pub-id pub-id-type="doi">10.1016/j.crmicr.2024.100231</pub-id>
<pub-id pub-id-type="pmid">38510214</pub-id>
</citation>
</ref>
<ref id="B35">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kaur</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Chahal</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Hogan</surname>
<given-names>T.</given-names>
</name>
</person-group> (<year>2016</year>). <article-title>Selective fabrication of sic/si diodes by excimer laser under ambient conditions</article-title>. <source>IEEE Electron Device Lett.</source> <volume>37</volume>, <fpage>142</fpage>&#x2013;<lpage>145</lpage>. <pub-id pub-id-type="doi">10.1109/LED.2015.2508479</pub-id>
</citation>
</ref>
<ref id="B36">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Knox</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Wilson</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Klinger</surname>
<given-names>C. M.</given-names>
</name>
<name>
<surname>Franklin</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Oler</surname>
<given-names>E.</given-names>
</name>
<name>
<surname>Wilson</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Drugbank 6.0: the drugbank knowledgebase for 2024</article-title>. <source>Nucleic Acids Res.</source> <volume>52</volume>, <fpage>D1265</fpage>&#x2013;<lpage>D1275</lpage>. <pub-id pub-id-type="doi">10.1093/nar/gkad976</pub-id>
<pub-id pub-id-type="pmid">37953279</pub-id>
</citation>
</ref>
<ref id="B37">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Kong</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Xu</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Lan</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yue</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Li</surname>
<given-names>X.</given-names>
</name>
<etal/>
</person-group> (<year>2020</year>). <article-title>Effect of siox-coating crystallinity on electrochemical performance of si@siox anode materials in lithium-ion batteries</article-title>. <source>Appl. Surf. Sci.</source> <volume>515</volume>, <fpage>146026</fpage>. <pub-id pub-id-type="doi">10.1016/j.apsusc.2020.146026</pub-id>
</citation>
</ref>
<ref id="B38">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Lin</surname>
<given-names>E. M. J.</given-names>
</name>
<name>
<surname>Lay</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Subramanian</surname>
<given-names>G. S.</given-names>
</name>
<name>
<surname>Tan</surname>
<given-names>W. S.</given-names>
</name>
<name>
<surname>Leong</surname>
<given-names>S. S. J.</given-names>
</name>
<name>
<surname>Moh</surname>
<given-names>L. C. H.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Control release coating for urinary catheters with enhanced released profile for sustained antimicrobial protection</article-title>. <source>ACS Appl. Mater. and Interfaces</source> <volume>13</volume>, <fpage>59263</fpage>&#x2013;<lpage>59274</lpage>. <pub-id pub-id-type="doi">10.1021/acsami.1c17697</pub-id>
<pub-id pub-id-type="pmid">34846837</pub-id>
</citation>
</ref>
<ref id="B39">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Majumder</surname>
<given-names>M. M. I.</given-names>
</name>
<name>
<surname>Ahmed</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>Ahmed</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Khan</surname>
<given-names>A. R.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Microbiology of catheter associated urinary tract infection</article-title>. <source>Microbiol. Urin. tract infections-microbial agents predisposing factors</source>. <pub-id pub-id-type="doi">10.5772/intechopen.80080</pub-id>
</citation>
</ref>
<ref id="B40">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Marx</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Hutter</surname>
<given-names>J.</given-names>
</name>
</person-group> (<year>2000</year>). <article-title>
<italic>Ab initio</italic> molecular dynamics: theory and implementation</article-title>. <source>Mod. methods algorithms quantum Chem.</source> <volume>1</volume>, <fpage>141</fpage>.</citation>
</ref>
<ref id="B41">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mayer</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2014</year>). <article-title>Improved physics in simnra 7</article-title>. <source>Nucl. Instrum. Methods Phys. Res.</source> <volume>332</volume>, <fpage>176</fpage>&#x2013;<lpage>180</lpage>. <pub-id pub-id-type="doi">10.1016/j.nimb.2014.02.056</pub-id>
</citation>
</ref>
<ref id="B42">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Miao</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Fang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Zeng</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Ouyang</surname>
<given-names>M.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Multifunctional hydrogel coatings with high antimicrobial loading efficiency and ph-responsive properties for urinary catheter applications</article-title>. <source>J. Mater. Chem. B</source> <volume>11</volume>, <fpage>3373</fpage>&#x2013;<lpage>3386</lpage>. <pub-id pub-id-type="doi">10.1039/d3tb00148b</pub-id>
<pub-id pub-id-type="pmid">37000775</pub-id>
</citation>
</ref>
<ref id="B43">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Mitra</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ghosh</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Pal</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Basu</surname>
<given-names>M.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Prevention of hospital-acquired infections: a construct during covid-19 pandemic</article-title>. <source>J. Fam. Med. Prim. Care</source> <volume>10</volume>, <fpage>3348</fpage>&#x2013;<lpage>3354</lpage>. <pub-id pub-id-type="doi">10.4103/jfmpc.jfmpc_742_21</pub-id>
<pub-id pub-id-type="pmid">34760756</pub-id>
</citation>
</ref>
<ref id="B44">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Naveas</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Pulido</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Torres-Costa</surname>
<given-names>V.</given-names>
</name>
<name>
<surname>Agull&#xf3;-Rueda</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Santib&#xe1;&#xf1;ez</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Malano</surname>
<given-names>F.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Antibacterial films of silver nanoparticles embedded into carboxymethylcellulose/chitosan multilayers on nanoporous silicon: a layer-by-layer assembly approach comparing dip and spin coating</article-title>. <source>Int. J. Mol. Sci.</source> <volume>24</volume>, <fpage>10595</fpage>. <pub-id pub-id-type="doi">10.3390/ijms241310595</pub-id>
<pub-id pub-id-type="pmid">37445773</pub-id>
</citation>
</ref>
<ref id="B45">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Neese</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2012</year>). <article-title>The orca program system</article-title>. <source>Wiley Interdiscip. Rev. Comput. Mol. Sci.</source> <volume>2</volume>, <fpage>73</fpage>&#x2013;<lpage>78</lpage>. <pub-id pub-id-type="doi">10.1002/wcms.81</pub-id>
</citation>
</ref>
<ref id="B46">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Neese</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Software update: the orca program system&#x2014;version 5.0</article-title>. <source>Wiley Interdiscip. Rev. Comput. Mol. Sci.</source> <volume>12</volume>, <fpage>e1606</fpage>. <pub-id pub-id-type="doi">10.1002/wcms.1606</pub-id>
</citation>
</ref>
<ref id="B47">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Newman</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Rovner</surname>
<given-names>E. S.</given-names>
</name>
<name>
<surname>Wein</surname>
<given-names>A. J.</given-names>
</name>
<name>
<surname>Mucksavage</surname>
<given-names>P.</given-names>
</name>
</person-group> (<year>2018</year>). <article-title>Ureteral stents, nephrostomy tubes, and urethral dilators</article-title>. <source>Clin. Appl. Urologic Catheters, Devices Prod.</source>, <fpage>105</fpage>&#x2013;<lpage>132</lpage>. <pub-id pub-id-type="doi">10.1007/978-3-319-14821-2_4</pub-id>
</citation>
</ref>
<ref id="B48">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Orio</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Pantazis</surname>
<given-names>D. A.</given-names>
</name>
<name>
<surname>Neese</surname>
<given-names>F.</given-names>
</name>
</person-group> (<year>2009</year>). <article-title>Density functional theory</article-title>. <source>Photosynth. Res.</source> <volume>102</volume>, <fpage>443</fpage>&#x2013;<lpage>453</lpage>. <pub-id pub-id-type="doi">10.1007/s11120-009-9404-8</pub-id>
<pub-id pub-id-type="pmid">19238578</pub-id>
</citation>
</ref>
<ref id="B49">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>&#xd6;zt&#xfc;rk</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Murt</surname>
<given-names>A.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Epidemiology of urological infections: a global burden</article-title>. <source>World J. urology</source> <volume>38</volume>, <fpage>2669</fpage>&#x2013;<lpage>2679</lpage>. <pub-id pub-id-type="doi">10.1007/s00345-019-03071-4</pub-id>
<pub-id pub-id-type="pmid">31925549</pub-id>
</citation>
</ref>
<ref id="B50">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Paudel</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Guedry</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Obernuefemann</surname>
<given-names>C. L.</given-names>
</name>
<name>
<surname>Hultgren</surname>
<given-names>S. J.</given-names>
</name>
<name>
<surname>Walker</surname>
<given-names>J. N.</given-names>
</name>
<name>
<surname>Kulkarni</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2023</year>). <article-title>Defining the roles of pyruvate oxidation, tca cycle, and mannitol metabolism in methicillin-resistant staphylococcus aureus catheter-associated urinary tract infection</article-title>. <source>Microbiol. Spectr.</source> <volume>11</volume>, <fpage>e05365</fpage>&#x2013;<lpage>22</lpage>. <pub-id pub-id-type="doi">10.1128/spectrum.05365-22</pub-id>
<pub-id pub-id-type="pmid">37378538</pub-id>
</citation>
</ref>
<ref id="B51">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Prateeksha</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Bajpai</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Rao</surname>
<given-names>C. V.</given-names>
</name>
<name>
<surname>Upreti</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Barik</surname>
<given-names>S. K.</given-names>
</name>
<name>
<surname>Singh</surname>
<given-names>B. N.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Chrysophanol-functionalized silver nanoparticles for anti-adhesive and anti-biofouling coatings to prevent urinary catheter-associated infections</article-title>. <source>ACS Appl. Nano Mater.</source> <volume>4</volume>, <fpage>1512</fpage>&#x2013;<lpage>1528</lpage>. <pub-id pub-id-type="doi">10.1021/acsanm.0c03029</pub-id>
</citation>
</ref>
<ref id="B52">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Redondo-Cubero</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Borge</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Gordillo</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Guti&#xe9;rrez Neira</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Olivares</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Casero</surname>
<given-names>R.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Current status and future developments of the ion beam facility at the centre of micro-analysis of materials in madrid</article-title>. <source>Eur. Phys. J. Plus</source> <volume>136</volume>, <fpage>175</fpage>. <pub-id pub-id-type="doi">10.1140/epjp/s13360-021-01085-9</pub-id>
</citation>
</ref>
<ref id="B53">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Sivaramalingam</surname>
<given-names>S. S.</given-names>
</name>
<name>
<surname>Jothivel</surname>
<given-names>D.</given-names>
</name>
<name>
<surname>Govindarajan</surname>
<given-names>D. K.</given-names>
</name>
<name>
<surname>Kadirvelu</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Sivaramakrishnan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Chithiraiselvan</surname>
<given-names>D. D.</given-names>
</name>
<etal/>
</person-group> (<year>2024</year>). <article-title>Structural and functional insights of sortases and their interactions with antivirulence compounds</article-title>. <source>Curr. Res. Struct. Biol.</source> <volume>8</volume>, <fpage>100152</fpage>. <pub-id pub-id-type="doi">10.1016/j.crstbi.2024.100152</pub-id>
<pub-id pub-id-type="pmid">38989133</pub-id>
</citation>
</ref>
<ref id="B54">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Snyder</surname>
<given-names>H. D.</given-names>
</name>
<name>
<surname>Kucukkal</surname>
<given-names>T. G.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Computational chemistry activities with avogadro and orca</article-title>. <source>J. Chem. Educ.</source> <volume>98</volume>, <fpage>1335</fpage>&#x2013;<lpage>1341</lpage>. <pub-id pub-id-type="doi">10.1021/acs.jchemed.0c00959</pub-id>
</citation>
</ref>
<ref id="B55">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Srisang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wongsuwan</surname>
<given-names>N.</given-names>
</name>
<name>
<surname>Boongird</surname>
<given-names>A.</given-names>
</name>
<name>
<surname>Ungsurungsie</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Wanasawas</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Nasongkla</surname>
<given-names>N.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Multilayer nanocoating of foley urinary catheter by chlorhexidine-loaded nanoparticles for prolonged release and anti-infection of urinary tract</article-title>. <source>Int. J. Polym. Mater. Polym. Biomaterials</source> <volume>69</volume>, <fpage>1081</fpage>&#x2013;<lpage>1089</lpage>. <pub-id pub-id-type="doi">10.1080/00914037.2019.1655752</pub-id>
</citation>
</ref>
<ref id="B56">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Swidan</surname>
<given-names>N. S.</given-names>
</name>
<name>
<surname>Hashem</surname>
<given-names>Y. A.</given-names>
</name>
<name>
<surname>Elkhatib</surname>
<given-names>W. F.</given-names>
</name>
<name>
<surname>Yassien</surname>
<given-names>M. A.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Antibiofilm activity of green synthesized silver nanoparticles against biofilm associated enterococcal urinary pathogens</article-title>. <source>Sci. Rep.</source> <volume>12</volume>, <fpage>3869</fpage>. <pub-id pub-id-type="doi">10.1038/s41598-022-07831-y</pub-id>
<pub-id pub-id-type="pmid">35264654</pub-id>
</citation>
</ref>
<ref id="B57">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tailly</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>MacPhee</surname>
<given-names>R. A.</given-names>
</name>
<name>
<surname>Cadieux</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Burton</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Dalsin</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Wattengel</surname>
<given-names>C.</given-names>
</name>
<etal/>
</person-group> (<year>2021</year>). <article-title>Evaluation of polyethylene glycol-based antimicrobial coatings on urinary catheters in the prevention of escherichia coli infections in a rabbit model</article-title>. <source>J. Endourology</source> <volume>35</volume>, <fpage>116</fpage>&#x2013;<lpage>121</lpage>. <pub-id pub-id-type="doi">10.1089/end.2020.0186</pub-id>
<pub-id pub-id-type="pmid">32689838</pub-id>
</citation>
</ref>
<ref id="B58">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Teixeira-Santos</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Gomes</surname>
<given-names>L. C.</given-names>
</name>
<name>
<surname>Mergulhao</surname>
<given-names>F. J.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Recent advances in antimicrobial surfaces for urinary catheters</article-title>. <source>Curr. Opin. Biomed. Eng.</source> <volume>22</volume>, <fpage>100394</fpage>. <pub-id pub-id-type="doi">10.1016/j.cobme.2022.100394</pub-id>
</citation>
</ref>
<ref id="B59">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tenke</surname>
<given-names>P.</given-names>
</name>
<name>
<surname>Mezei</surname>
<given-names>T.</given-names>
</name>
<name>
<surname>B&#x151;de</surname>
<given-names>I.</given-names>
</name>
<name>
<surname>K&#xf6;ves</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2017</year>). <article-title>Catheter-associated urinary tract infections</article-title>. <source>Eur. Urol. Suppl.</source> <volume>16</volume>, <fpage>138</fpage>&#x2013;<lpage>143</lpage>. <pub-id pub-id-type="doi">10.1016/j.eursup.2016.10.001</pub-id>
</citation>
</ref>
<ref id="B60">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Tse</surname>
<given-names>J. S.</given-names>
</name>
</person-group> (<year>2002</year>). <article-title>
<italic>Ab initio</italic> molecular dynamics with density functional theory</article-title>. <source>Annu. Rev. Phys. Chem.</source> <volume>53</volume>, <fpage>249</fpage>&#x2013;<lpage>290</lpage>. <pub-id pub-id-type="doi">10.1146/annurev.physchem.53.090401.105737</pub-id>
<pub-id pub-id-type="pmid">11972009</pub-id>
</citation>
</ref>
<ref id="B61">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Uddin</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Sutonu</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Rub</surname>
<given-names>M. A.</given-names>
</name>
<name>
<surname>Mahbub</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Alotaibi</surname>
<given-names>M. M.</given-names>
</name>
<name>
<surname>Asiri</surname>
<given-names>A. M.</given-names>
</name>
<etal/>
</person-group> (<year>2022</year>). <article-title>Uv-visible spectroscopic and dft studies of the binding of ciprofloxacin hydrochloride antibiotic drug with metal ions at numerous temperatures</article-title>. <source>Korean J. Chem. Eng.</source> <volume>39</volume>, <fpage>664</fpage>&#x2013;<lpage>673</lpage>. <pub-id pub-id-type="doi">10.1007/s11814-021-0924-z</pub-id>
</citation>
</ref>
<ref id="B62">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Unidad de Infecciones Intrahospitalarias</surname>
<given-names>M. d. S.</given-names>
</name>
</person-group> (<year>2020</year>). <article-title>Informe de vigilancia de infecciones asociadas a la atenci&#xf3;n en salud 2020</article-title>. <source>Minist. Salud, Dep. Calid. Form. programa control Infecc. intrahospitalarias</source>.</citation>
</ref>
<ref id="B63">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Wagner</surname>
<given-names>C. D.</given-names>
</name>
<name>
<surname>Davis</surname>
<given-names>L. E.</given-names>
</name>
<name>
<surname>Zeller</surname>
<given-names>M. V.</given-names>
</name>
<name>
<surname>Taylor</surname>
<given-names>J. A.</given-names>
</name>
<name>
<surname>Raymond</surname>
<given-names>R. H.</given-names>
</name>
<name>
<surname>Gale</surname>
<given-names>L. H.</given-names>
</name>
</person-group> (<year>1981</year>). <article-title>Empirical atomic sensitivity factors for quantitative analysis by electron spectroscopy for chemical analysis</article-title>. <source>Surf. Interface Analysis</source> <volume>3</volume>, <fpage>211</fpage>&#x2013;<lpage>225</lpage>. <pub-id pub-id-type="doi">10.1002/sia.740030506</pub-id>
</citation>
</ref>
<ref id="B64">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Weigend</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Ahlrichs</surname>
<given-names>R.</given-names>
</name>
</person-group> (<year>2005</year>). <article-title>Balanced basis sets of split valence, triple zeta valence and quadruple zeta valence quality for h to rn: design and assessment of accuracy</article-title>. <source>Phys. Chem. Chem. Phys.</source> <volume>7</volume>, <fpage>3297</fpage>&#x2013;<lpage>3305</lpage>. <pub-id pub-id-type="doi">10.1039/b508541a</pub-id>
<pub-id pub-id-type="pmid">16240044</pub-id>
</citation>
</ref>
<ref id="B65">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yao</surname>
<given-names>Q.</given-names>
</name>
<name>
<surname>Wu</surname>
<given-names>C.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Pan</surname>
<given-names>G.</given-names>
</name>
<name>
<surname>Chen</surname>
<given-names>B.</given-names>
</name>
</person-group> (<year>2022</year>). <article-title>Current material engineering strategies to prevent catheter encrustation in urinary tracts</article-title>. <source>Mater. Today Bio</source> <volume>16</volume>, <fpage>100413</fpage>. <pub-id pub-id-type="doi">10.1016/j.mtbio.2022.100413</pub-id>
<pub-id pub-id-type="pmid">36118951</pub-id>
</citation>
</ref>
<ref id="B66">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yin</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Jin</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Lee</surname>
<given-names>B. H.</given-names>
</name>
<name>
<surname>Alvarez</surname>
<given-names>G. A.</given-names>
</name>
<name>
<surname>Stagnaro</surname>
<given-names>J. P.</given-names>
</name>
<name>
<surname>Valderrama-Beltran</surname>
<given-names>S. L.</given-names>
</name>
<etal/>
</person-group> (<year>2023</year>). <article-title>Prospective cohort study of incidence and risk factors for catheter-associated urinary tract infections in 145 intensive care units of 9 Latin american countries: Inicc findings</article-title>. <source>World J. Urology</source> <volume>41</volume>, <fpage>3599</fpage>&#x2013;<lpage>3609</lpage>. <pub-id pub-id-type="doi">10.1007/s00345-023-04645-z</pub-id>
<pub-id pub-id-type="pmid">37823942</pub-id>
</citation>
</ref>
<ref id="B67">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Yu</surname>
<given-names>K.</given-names>
</name>
<name>
<surname>Lo</surname>
<given-names>J. C.</given-names>
</name>
<name>
<surname>Yan</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Yang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Brooks</surname>
<given-names>D. E.</given-names>
</name>
<name>
<surname>Hancock</surname>
<given-names>R. E.</given-names>
</name>
<etal/>
</person-group> (<year>2017</year>). <article-title>Anti-adhesive antimicrobial peptide coating prevents catheter associated infection in a mouse urinary infection model</article-title>. <source>Biomaterials</source> <volume>116</volume>, <fpage>69</fpage>&#x2013;<lpage>81</lpage>. <pub-id pub-id-type="doi">10.1016/j.biomaterials.2016.11.047</pub-id>
<pub-id pub-id-type="pmid">27914268</pub-id>
</citation>
</ref>
<ref id="B68">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zare</surname>
<given-names>M.</given-names>
</name>
<name>
<surname>Ghomi</surname>
<given-names>E. R.</given-names>
</name>
<name>
<surname>Venkatraman</surname>
<given-names>P. D.</given-names>
</name>
<name>
<surname>Ramakrishna</surname>
<given-names>S.</given-names>
</name>
</person-group> (<year>2021</year>). <article-title>Silicone-based biomaterials for biomedical applications: antimicrobial strategies and 3d printing technologies</article-title>. <source>J. Appl. Polym. Sci.</source> <volume>138</volume>, <fpage>50969</fpage>. <pub-id pub-id-type="doi">10.1002/app.50969</pub-id>
</citation>
</ref>
<ref id="B69">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhang</surname>
<given-names>S.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>L.</given-names>
</name>
<name>
<surname>Liang</surname>
<given-names>X.</given-names>
</name>
<name>
<surname>Vorstius</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Keatch</surname>
<given-names>R.</given-names>
</name>
<name>
<surname>Corner</surname>
<given-names>G.</given-names>
</name>
<etal/>
</person-group> (<year>2019</year>). <article-title>Enhanced antibacterial and antiadhesive activities of silver-ptfe nanocomposite coating for urinary catheters</article-title>. <source>ACS Biomaterials Sci. and Eng.</source> <volume>5</volume>, <fpage>2804</fpage>&#x2013;<lpage>2814</lpage>. <pub-id pub-id-type="doi">10.1021/acsbiomaterials.9b00071</pub-id>
<pub-id pub-id-type="pmid">33405585</pub-id>
</citation>
</ref>
<ref id="B70">
<citation citation-type="journal">
<person-group person-group-type="author">
<name>
<surname>Zhu</surname>
<given-names>Z.</given-names>
</name>
<name>
<surname>Wang</surname>
<given-names>J.</given-names>
</name>
<name>
<surname>Lopez</surname>
<given-names>A. I.</given-names>
</name>
<name>
<surname>Yu</surname>
<given-names>F.</given-names>
</name>
<name>
<surname>Huang</surname>
<given-names>Y.</given-names>
</name>
<name>
<surname>Kumar</surname>
<given-names>A.</given-names>
</name>
<etal/>
</person-group> (<year>2015</year>). <article-title>Surfaces presenting <italic>&#x3b1;</italic>-phenyl mannoside derivatives enable formation of stable, high coverage, non-pathogenic escherichia coli biofilms against pathogen colonization</article-title>. <source>Biomaterials Sci.</source> <volume>3</volume>, <fpage>842</fpage>&#x2013;<lpage>851</lpage>. <pub-id pub-id-type="doi">10.1039/c5bm00076a</pub-id>
<pub-id pub-id-type="pmid">26221844</pub-id>
</citation>
</ref>
</ref-list>
</back>
</article>