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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Pharmacol.</journal-id>
<journal-title>Frontiers in Pharmacology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Pharmacol.</abbrev-journal-title>
<issn pub-type="epub">1663-9812</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1515462</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2024.1515462</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Pharmacology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Amphotericin B tissue penetration and pharmacokinetics in healthy and <italic>Candida albicans</italic>-infected rats: insights from microdialysis and population modeling</article-title>
<alt-title alt-title-type="left-running-head">Santos 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/fphar.2024.1515462">10.3389/fphar.2024.1515462</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Santos</surname>
<given-names>Valdeene Vieira</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Pereira</surname>
<given-names>Laiz Campos</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>de Ara&#xfa;jo</surname>
<given-names>Jackeline Marley Santos</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Borges</surname>
<given-names>Matheus Ant&#xf4;nio da Hora</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
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<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Brand&#xe3;o</surname>
<given-names>Carolina Magalh&#xe3;es</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
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<contrib contrib-type="author">
<name>
<surname>Santos</surname>
<given-names>Luisa Oliveira</given-names>
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<sup>1</sup>
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<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Villarreal</surname>
<given-names>Cristiane Flora</given-names>
</name>
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<sup>1</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Azeredo</surname>
<given-names>Francine Johansson</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Pharmacy Graduate Program</institution>, <institution>College of Pharmacy</institution>, <institution>Federal University of Bahia</institution>, <addr-line>Salvador</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Laboratory of Pharmacokinetics and Pharmacometrics</institution>, <institution>Faculty of Pharmacy</institution>, <institution>Federal University of Bahia</institution>, <addr-line>Salvador</addr-line>, <country>Brazil</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Center for Pharmacometrics and System Pharmacology</institution>, <institution>College of Pharmacy</institution>, <institution>University of Florida</institution>, <addr-line>Orlando</addr-line>, <addr-line>FL</addr-line>, <country>United States</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/443258/overview">Zhihao Liu</ext-link>, University of Maryland, College Park, United States</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/284329/overview">Mamunur Rashid</ext-link>, University of Nebraska Medical Center, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2893380/overview">Hiroshi Tomoda</ext-link>, Kitasato University, Japan</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Francine Johansson Azeredo, <email>francinej@ufl.edu</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>10</day>
<month>01</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>15</volume>
<elocation-id>1515462</elocation-id>
<history>
<date date-type="received">
<day>22</day>
<month>10</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>13</day>
<month>12</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Santos, Pereira, de Ara&#xfa;jo, Borges, Brand&#xe3;o, Santos, Villarreal and Azeredo.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Santos, Pereira, de Ara&#xfa;jo, Borges, Brand&#xe3;o, Santos, Villarreal and Azeredo</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>
<sec>
<title>Introduction</title>
<p>This study evaluated the relationship between total plasma and free kidney concentrations of amphotericin B (AmB) in healthy and <italic>C. albicans</italic>-infected Wistar rats using microdialysis and has the potential to significantly impact future research in this field and promote the development of antifungal drugs. The findings of this study, which show that plasma levels are a good predictor for AmB kidney concentrations and can be used to optimize its dosing regimen, underscore the importance of this research.</p>
</sec>
<sec>
<title>Methods</title>
<p>Microdialysis probe recovery rates were determined by dialysis and retrodialysis <italic>in vitro</italic>, as well as by retrodialysis <italic>in vivo</italic>. The intravenous (i.v.) administration of 2.5 &#xd7; 10<sup>6</sup>&#xa0;CFU/mL of <italic>C. albicans</italic> ATCC induced the infection. A 2.5&#xa0;mg/kg i.v. bolus was used in healthy and <italic>C. albicans</italic>-infected rats (n &#x3d; 6/group). Plasma and microdialysate samples were analyzed using HPLC-diode-array detection. AmB tissue penetration was analyzed using the ratio between the total plasma and kidney concentrations and population pharmacokinetics (PopPK) to assess the impact of the infection on the pharmacokinetic parameters. The chosen flow rate was set to 1.5&#xa0;&#x03bc;L/min, and there was no statistical difference between the relative recovery values when changing AmB concentrations.</p>
</sec>
<sec>
<title>Results and Discussion</title>
<p>The <italic>in vivo</italic> relative recovery was determined to be 10.9% &#xb1; 3.7%. The antifungal tissue penetration was 0.77 and 0.71 for the healthy and infected animals, respectively. The structural PK model with two compartments and linear elimination describes the concentration versus time profile of AmB simultaneously in the plasma and tissue. Infection by <italic>C. albicans</italic> does not interfere with AmB kidney penetration. AmB protein binding is demonstrated to be nonlinear and dependent on the AmB concentration in the plasma of healthy and infected animals.</p>
</sec>
</abstract>
<kwd-group>
<kwd>Amphotericin B</kwd>
<kwd>
<italic>Candida albicans</italic>
</kwd>
<kwd>population pharmacokinetic modeling</kwd>
<kwd>microdialysis</kwd>
<kwd>rats</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Drug Metabolism and Transport</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>A significant increase in the incidence of <italic>Candida</italic>-mediated infections has been observed in the last decade, mainly in susceptible individuals associated with high mortality and morbidity (<xref ref-type="bibr" rid="B20">Katsipoulaki et al., 2024</xref>). To be a potentially pathogenic yeast, it has to show a wide range of virulence factors and physical characteristics (<xref ref-type="bibr" rid="B8">Colombo et al., 2013</xref>; <xref ref-type="bibr" rid="B29">Mayer et al., 2013</xref>). <italic>Candida albicans</italic> is the most prevalent agent causing invasive candidiasis (<xref ref-type="bibr" rid="B30">McCarty et al., 2021</xref>), and it is also the most isolated species pertaining to these infections from different anatomical sites (<xref ref-type="bibr" rid="B14">Hiller et al., 2011</xref>; <xref ref-type="bibr" rid="B22">Kolaczkowski et al., 2010</xref>), affecting organs and tissues, such as the lungs, brain, kidneys, bladder, joints, liver, heart, and eyes (<xref ref-type="bibr" rid="B34">Peixoto et al., 2014</xref>), with the kidney being the most affected organ (<xref ref-type="bibr" rid="B2">Balk et al., 1978</xref>).</p>
<p>For the treatment of invasive candidiasis, amphotericin B (AmB), a drug representing the polyenic class, has significant importance in clinical practice because of its broad spectrum of activities (<xref ref-type="bibr" rid="B11">Ellis, 2002</xref>; <xref ref-type="bibr" rid="B44">Wang et al., 2021</xref>). Nevertheless, treatment failure is common in infectious diseases (<xref ref-type="bibr" rid="B41">T&#xf8;ttrup et al., 2014</xref>). Insufficient concentration of the used drug at the infection site is one of the leading causes of pharmacological treatment failure (<xref ref-type="bibr" rid="B23">Lagler and Zeitlinger, 2014</xref>). For therapeutic success, drug penetration must be sufficient to achieve concentrations that can eliminate or stop the growth of the microorganisms (<xref ref-type="bibr" rid="B12">Felton et al., 2014</xref>; <xref ref-type="bibr" rid="B32">Niemirowicz et al., 2017</xref>; <xref ref-type="bibr" rid="B36">Ray et al., 2015</xref>).</p>
<p>Most infection sites are extravascular, and pharmacological treatment depends on drug diffusion out of the bloodstream and into the interstitial space and intracellular fluid. The penetration capacity of a drug depends on tissue-related factors, such as perfusion, surface area, vascular characteristics, pH, inflammation, protein composition modification, drug transport through efflux pumps (<xref ref-type="bibr" rid="B12">Felton et al., 2014</xref>), drug-related factors, and their physicochemical characteristics such as lipophilicity, molecular size, pKa, and plasma protein binding (<xref ref-type="bibr" rid="B15">Hurtado et al., 2014</xref>). For these reasons, the use of plasma drug concentrations to determine pharmacokinetic parameters will only yield satisfactory results if blood levels are an appropriate substitute for the levels at the site of infection (<xref ref-type="bibr" rid="B24">Levison and Levison, 2009</xref>; <xref ref-type="bibr" rid="B31">M&#xfc;ller et al., 2004</xref>).</p>
<p>In this context, the microdialysis technique has important applications, becoming valuable for free drug sampling in the interstitial fluid distribution study (<xref ref-type="bibr" rid="B23">Lagler and Zeitlinger, 2014</xref>; <xref ref-type="bibr" rid="B28">MacVane et al., 2014</xref>; <xref ref-type="bibr" rid="B27">Lock et al., 2023</xref>) in preclinical and clinical pharmacokinetic studies in various tissues such as the bone (<xref ref-type="bibr" rid="B41">T&#xf8;ttrup et al., 2014</xref>), prostate (<xref ref-type="bibr" rid="B15">Hurtado et al., 2014</xref>), brain (<xref ref-type="bibr" rid="B24">Levison and Levison, 2009</xref>), pancreas (<xref ref-type="bibr" rid="B26">Liu et al., 2014</xref>), and pulmonary epithelium (<xref ref-type="bibr" rid="B37">Rottb&#xf8;ll et al., 2015</xref>). In addition, this technique allows the comparison of drug penetration in healthy and infected tissues (<xref ref-type="bibr" rid="B17">Joukhadar et al., 2001</xref>; <xref ref-type="bibr" rid="B27">Lock et al., 2023</xref>).</p>
<p>To date, no study has been conducted that describes the relationship between the total plasma AmB concentrations and free tissue concentrations using microdialysis. Thus, considering the scenario of invasive candidiasis caused by <italic>C. albicans</italic> and the common use of AmB for its treatment, the importance of a pharmacokinetic study in an <italic>in vivo</italic> experimental model emerges to evaluate the influence of infection on pharmacokinetic parameters and in kidney penetration of AmB to relate whether plasma concentrations can predict drug-free tissue levels in the target tissue of invasive candidiasis, with this relationship being established by a population pharmacokinetic (PopPK) model.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Quantification of AmB in rat plasma and microdialysate samples</title>
<p>The quantification of AmB in rat plasma and microdialysate samples was performed by HPLC equipped with a diode array detector (HPLC-DAD).</p>
<p>A method for the quantification of AmB in plasma was adopted and validated according to the guideline RDC 27/2012 of the Ag&#xea;ncia Nacional de Vigil&#xe2;ncia Sanit&#xe1;ria (ANVISA) (<xref ref-type="bibr" rid="B6">BRASIL, 2012</xref>). Briefly, plasma aliquots (100&#xa0;&#xb5;L) were precipitated with 100&#xa0;&#xb5;L of ZnSO<sub>4</sub> 0.1 M and 200&#xa0;&#xb5;L of cold acetonitrile with 0.036% of trifluoroacetic acid and centrifuged at 13,000 <italic>g</italic> at 8&#xb0;C for 15&#xa0;min (<xref ref-type="bibr" rid="B3">Barco et al., 2017</xref>). The supernatant was injected into the HPLC-DAD system (Shimadzu CBM-20<sup>a</sup> system controller, LC-6AD solvent delivery system, SPD-M20A detector, and DGU-20<sup>a</sup> deaerator) (Shimadzu Corp., Kyoto, Japan). Chromatography was performed by using a Nucleosil<sup>&#xae;</sup> column (150&#xa0;mm &#xd7; 4.6&#xa0;mm internal diameter) (Macherey-Nagel, Dorean) protected by a Uniguard<sup>&#xae;</sup> (Thermo Fisher Scientific) guard column packed with the same material. Analytes were separated by gradient elution, with mobile phase A consisting of acetate buffer pH 4.0 and mobile phase B consisting of acetonitrile at a flow rate of 1&#xa0;mL/min. The percentage of mobile phase B was maintained at 40% for 4&#xa0;min and then programmed to reach 80% in 4&#xa0;min. The column was finally reconditioned at 40% B in 1&#xa0;min for a total run time of 9&#xa0;min. Detection was measured at 407&#xa0;nm (<xref ref-type="bibr" rid="B16">Italia et al., 2009</xref>). The analyses were conducted using LC Solution software.</p>
<p>For the quantification of AmB in microdialysate samples, the same chromatographic conditions as for the bioanalytical method were used. The method was validated according to the ANVISA guidelines for analytical methods (RDC 166-2017) (<xref ref-type="bibr" rid="B7">BRASIL, 2017</xref>).</p>
<p>The methods were sensitive and accurate within the concentration range of 0.25&#x2013;10&#xa0;&#x3bc;g/mL. A linear calibration curve was obtained in this concentration range. The methods were validated by constructing six calibration curves on two separate days and quality control samples (0.4, 1.5, and 6&#xa0;&#x3bc;g/mL). The intra-assay and inter-assay precision was not more than 5.0%, and the accuracy was between 95% and 105% for the analytical method. The bioanalytical method intra-assay and inter-assay precision and accuracy were not more than 20% for the lower limit of quantification and not more than 15% for the other concentrations.</p>
</sec>
<sec id="s2-2">
<title>2.2 Induction of infection</title>
<p>Male Wistar rats (250&#x2013;350&#xa0;g) were kept in cages in groups of five animals under conditions of controlled temperature (22&#xb0;C &#xb1; 2&#xb0;C) and humidity (55% &#xb1; 5%) and 12-h of light/dark cycles with feed and water provided <italic>ad libitum</italic>. The protocols for animal experiments were approved by the Veterinary School of the Federal University of Bahia (UFBA) Animal Use Ethics Committee (protocol number 26/2018).</p>
<p>The infection protocol for Wistar rats employed in this study was previously described by <xref ref-type="bibr" rid="B9">de Araujo et al. (2009)</xref>. Briefly, the animals were infected with <italic>C. albicans</italic> (ATCC 10231) 2 days before the pharmacokinetics experiments by the intravenous(i.v.) injection through the lateral tail vein of 0.1&#xa0;mL of the inoculum containing 2.5 &#xd7; 10<sup>6</sup> CFU/mL of the fungal strain, which was prepared in 0.9% sterile saline.</p>
</sec>
<sec id="s2-3">
<title>2.3 Influence of the perfusion flow rate and drug concentration on <italic>in vitro</italic> microdialysis probe recovery</title>
<p>The microdialysis system consisted of a PHD 2000 Infuse/Withdraw (Harvard Apparatus) microsyringe (diameter 4.61&#xa0;mm, 1&#xa0;mL) to provide the perfusate solution, which was attached to a microdialysis probe CMA/20 Elite (membrane length of 4&#xa0;mm and cutoff of 20&#xa0;kDa) (CMA/Microdialysis AB, Solna, Sweden).</p>
<p>The influence of the perfusion flow rate on the relative recovery of AmB was evaluated by using three flow rates, 1, 1.5, and 2&#xa0;&#x3bc;L/min, using a 2&#xa0;&#x3bc;g/mL solution of AmB. After analyzing the relative recovery of the different flows, the flow rate of 1.5&#xa0;&#x3bc;L/min was selected for analyzing the influence of different AmB concentrations on relative recovery using three different concentrations to determine the recovery: 2.5, 3, and 4&#xa0;&#x3bc;g/mL. The retrodialysis and dialysis methods were used to determine the relative recovery of AmB (<italic>n</italic> &#x3d; 3) in both analyses.</p>
<p>The relative recovery by dialysis (RR<sub>D</sub>) was calculated by <xref ref-type="disp-formula" rid="e1">Equation 1</xref>:<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mi>R</mml:mi>
<mml:mi>R</mml:mi>
</mml:mrow>
<mml:mi>D</mml:mi>
</mml:msub>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>l</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>e</mml:mi>
<mml:mi>x</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mi>x</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>where <inline-formula id="inf1">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>i</mml:mi>
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<mml:mi>l</mml:mi>
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</mml:mrow>
</mml:math>
</inline-formula> is the drug concentration in the dialysate and <inline-formula id="inf2">
<mml:math id="m3">
<mml:mrow>
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</inline-formula> is the drug concentration in the medium surrounding the microdialysis probe.</p>
<p>The relative recovery by retrodialysis (RR<sub>RD</sub>) was calculated using <xref ref-type="disp-formula" rid="e2">Equation 2</xref>:<disp-formula id="e2">
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<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>where <inline-formula id="inf3">
<mml:math id="m5">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
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</inline-formula> is the drug concentration in the perfusate solution.</p>
</sec>
<sec id="s2-4">
<title>2.4 <italic>In vivo</italic> microdialysis probe recovery</title>
<p>On the day of the experiments, the animals were anesthetized with urethane (1.25&#xa0;g/kg intraperitoneally [IP]). The animals were put in the lateral decubitus position, and the kidney was exposed. The microdialysis probes were inserted into the kidney cortex and were allowed to equilibrate inside the kidney for 1&#xa0;h before the <italic>in vivo</italic> recovery of the probes was performed. After that, perfusion with Ringer&#x2019;s solution at a flow rate of 1.5&#xa0;&#x3bc;L/min was carried out.</p>
<p>AmB microdialysis probe recovery <italic>in vivo</italic> was determined by retrodialysis. Following the kidney exposure procedure described above and after equilibration, Ringer&#x2019;s solution was replaced by 3&#xa0;&#x3bc;g/mL (using the 1.5&#xa0;&#x3bc;L/min flow rate) AmB in Ringer&#x2019;s solution. Three microdialysate samples were collected from each probe before the animal experiment (n &#x3d; 6). Drug concentrations in the dialysate sample (C<sub>dial</sub>) and the perfusate solution (C<sub>perf</sub>) were determined by HPLC. The <italic>in vivo</italic> apparent recovery by retrodialysis was calculated using <xref ref-type="disp-formula" rid="e2">Equation 2</xref>.</p>
</sec>
<sec id="s2-5">
<title>2.5 Population pharmacokinetic</title>
<p>After the microdialysis probes were inserted into the kidney cortex and allowed to equilibrate for 1&#xa0;h, 2.5&#xa0;mg/kg i.v. dosing of AmB was administrated to the animals. The AmB administration was prepared in injectable water (Anforicin B<sup>&#xae;</sup>, Crist&#xe1;lia, Brazil). The rats were randomly assigned to four groups of six animals each: two groups for plasma pharmacokinetics and two groups for tissue penetration, with each group having a group of healthy and <italic>C. albicans</italic>-infected animals.</p>
<p>Microdialysate samples were collected over 20&#xa0;h at 1-h intervals and assayed directly after the experiment, without processing. Blood samples were collected through the lateral tail vein immediately after dosing at 0.083, 0.25, 0.5, 1, 1.5, 2, 4, 8, 12, 24, and 36&#xa0;h. Blood samples were harvested into tubes containing heparin and centrifuged after collection. Plasma was separated and stored at &#x2212;18&#xb0;C until analysis.</p>
<p>The concentrations of AmB in the kidney were calculated from the measured microdialysate concentrations by using the relative recovery rate determined by retrodialysis <italic>in vivo</italic>. The total area under the concentration&#x2013;time curve from 0&#xa0;h to infinity (AUC<sub>0-<inline-formula id="inf22">
<mml:math id="m44">
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</inline-formula>
</sub>) was calculated by the linear trapezoidal rule for plasma and tissue. The ratio of drug penetration into the kidney was calculated using <xref ref-type="disp-formula" rid="e3">Equation 3</xref>:<disp-formula id="e3">
<mml:math id="m6">
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</disp-formula>
</p>
<p>PopPK was performed using Monolix Suite&#x2122; 2024R1 (Lixoft, France). A total of 266 observations (116 plasma and 150 kidney measurements) derived from 12 rats (six healthy and six infected) were included in the data set for PopPK analysis. Plasma and kidney microdialysate samples were simultaneously fitted to the model. Several structural models were proposed to characterize the PK of AmB, including two- and three-compartment models and normal and lognormal distribution.</p>
<p>The inter-individual variability on the fixed-effect model parameters was described by <xref ref-type="disp-formula" rid="e4">Equation 4</xref> using an exponential model:<disp-formula id="e4">
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</mml:math>
<label>(4)</label>
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<mml:mrow>
<mml:msub>
<mml:mi>P</mml:mi>
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</inline-formula> represents the parameter estimate for the individual normally distributed, <inline-formula id="inf5">
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<mml:math id="m10">
<mml:mrow>
<mml:msub>
<mml:mi>n</mml:mi>
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</mml:mrow>
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</inline-formula> is the random effect accounting for the individual difference from the typical value normally distributed with a mean of 0 and variance &#x3a9;. Correlations between random effects were tested. The residual variability was tested with combined, proportional, and constant error models.</p>
<p>The comparison between hierarchical models was based on graphic and statistical methods, with the reduction of the objective function value approximately equal to &#x2212;&#xd7;2 log(likelihood); reduction of the standard error of the estimates; graphical evaluation of the goodness-of-fit (GOF), which included graphs of the predicted individual concentrations <italic>versus</italic> the observed concentrations; evaluation of weighted residuals <italic>versus</italic> population predicted; and visual predictive checks (VPCs, 1,000 simulations). The effect of categorical covariate infection by <italic>C. albicans</italic> on PK parameters was investigated once an adequate model was finalized. The covariate <italic>C. albicans</italic> infection was assessed using the likelihood ratio test and the Wald test (<italic>P</italic> &#x3c; 0.05), and the precision of parameter estimates and the GOF were found to be improved. The final model was tested by bootstrap (n &#x3d; 200) using the 95% confidence interval of (CI) 2.5 to 97.5 percentiles for the model parameters.</p>
</sec>
<sec id="s2-6">
<title>2.6 Protein binding</title>
<p>Two AmB concentrations (2 and 8&#xa0;&#x3bc;g/mL) based on the total plasma concentrations observed in animals after i.v. administration of 2.5&#xa0;mg/kg dose were used to evaluate <italic>in vitro</italic> rat plasma protein binding by ultrafiltration. Plasma aliquots from healthy and <italic>C. albicans</italic>-infected rats were placed into the upper part of the Centrifee<sup>&#xae;</sup> ultrafiltration devices (95&#xa0;mm, 30&#xa0;kDa cut-off; Millipore Corp.) and centrifuged at 2,000 <italic>g</italic> for 15&#xa0;min at 25&#xb0;C &#xb1; 1&#xb0;C. Ultrafiltrates were collected, and the AmB concentration was determined in each sample by HPLC-DAD, as described previously. Triplicates were analyzed for each concentration, and the AmB-free fraction was determined by the ratio between the ultrafiltration and total plasma concentrations.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<p>The relative recovery rates of AmB determined <italic>in vitro</italic> by the dialysis methodology (RR<sub>D</sub>) were 8.1% &#xb1; 4.1%, 22.5% &#xb1; 8.5%, and 8.0% &#xb1; 3.0%, and those determined by the retrodialysis methodology (RR<sub>RD</sub>) were 12.9% &#xb1; 2.3%, 20.0% &#xb1; 6.0%, and 9.2% &#xb1; 2.7%, for the 1.0, 1.5, and 2.0&#xa0;&#x3bc;L/min flow rates, respectively. For the same flow rates, no statistically significant difference was observed between the two methods (<italic>P &#x3e;</italic> 0.05), showing that AmB does not bind to microdialysis tubing and that retrodialysis can be used to determine the relative recovery <italic>in vivo</italic>; the flow rate of 1.5&#xa0;&#x3bc;L/min is used for subsequent tests as it presents greater relative recovery.</p>
<p>The influence of the drug concentration on the microdialysis recoveries of AmB was evaluated by using a 1.5&#xa0;&#x3bc;L/min flow rate. The average relative recovery of the analyzed concentrations (2.5, 3.0, and 4.0&#xa0;&#x3bc;g/mL) obtained by dialysis was 33.1% &#xb1; 7.6%, and by retrodialysis, it was 34.5% &#xb1; 2.4%. No statistically significant differences (<italic>p</italic> &#x3e; 0.05) were observed in the values obtained between the methods or between the AmB concentrations tested. The RR<sub>RD</sub> <italic>in vivo</italic> was determined to be 10.9% &#xb1; 3.7%.</p>
<p>AmB protein binding was determined to be 56.4% &#xb1; 4.6% for 2&#xa0;&#x3bc;g/mL and 25.5% &#xb1; 3.9% for 8&#xa0;&#x3bc;g/mL in the plasma of healthy rats, and it was 60.9% &#xb1; 12.1% for 2&#xa0;&#x3bc;g/mL and 41.8% &#xb1; 1.7% for 8&#xa0;&#x3bc;g/mL in the plasma of <italic>C. albicans</italic>-infected rats, demonstrating it to be nonlinear and dependent on the AmB plasma concentration.</p>
<p>AmB total plasma and free kidney concentrations <italic>versus</italic> time profiles after the administration of a 2.5&#xa0;mg/kg i.v. dose to study the plasma pharmacokinetics and kidney penetration in healthy and <italic>C. albicans-</italic>infected rats are shown in <xref ref-type="fig" rid="F1">Figure 1</xref>. The AmB kidney penetration was 0.77 in healthy rats and 0.71 in infected rats. The pharmacokinetic parameters showed no statistical difference (<italic>P</italic> &#x3e; 0.05) for healthy and <italic>C. albicans</italic>-infected animals and between the plasma and kidney. The mean AUC<sub>0-<inline-formula id="inf23">
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</sub> was 96.3 &#xb1; 54.8&#xa0;&#x3bc;g&#xa0;h/mL for plasma and 74.1 &#xb1; 31.7&#xa0;&#x3bc;g&#xa0;h/mL for tissue in healthy animals and 59.8 &#xb1; 30.1&#xa0;&#x3bc;g&#xa0;h/mL for plasma and 42.3 &#xb1; 36.0&#xa0;&#x3bc;g&#xa0;h/mL for tissue in <italic>C. albicans</italic>-infected rats.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Mean AmB total plasma <bold>(A)</bold> and free kidney <bold>(B)</bold> concentration&#x2013;time profiles after 2.5&#xa0;mg/kg i.v. bolus dosing in healthy (&#x25cf;) and <italic>Candida albicans</italic>-infected (&#x25b2;) Wistar rats (mean &#xb1; standard deviations are shown; n &#x3d; 6/group).</p>
</caption>
<graphic xlink:href="fphar-15-1515462-g001.tif"/>
</fig>
<p>In the population pharmacokinetic analysis, a two-compartment model with linear elimination for both the plasma total and free kidney concentrations was selected as the final model (<xref ref-type="fig" rid="F2">Figure 2</xref>). The system of differential equations for the final model is given in <xref ref-type="disp-formula" rid="e5">Equations 5</xref>&#x2013;<xref ref-type="disp-formula" rid="e8">8</xref>:<disp-formula id="e5">
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<mml:mrow>
<mml:msub>
<mml:mi>A</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the drug amounts in the central and kidney compartments, respectively, t is time, <inline-formula id="inf9">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>12</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> and <inline-formula id="inf10">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi>k</mml:mi>
<mml:mn>21</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> are the first-order distribution rate constants, <inline-formula id="inf11">
<mml:math id="m19">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>p</mml:mi>
<mml:mi>l</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the observed plasma concentration, <inline-formula id="inf12">
<mml:math id="m20">
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mi>k</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>d</mml:mi>
<mml:mi>n</mml:mi>
<mml:mi>e</mml:mi>
<mml:mi>y</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the free concentration measured in the kidney, <inline-formula id="inf13">
<mml:math id="m21">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>1</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> represents the volume of the central compartment, and <inline-formula id="inf14">
<mml:math id="m22">
<mml:mrow>
<mml:msub>
<mml:mi>V</mml:mi>
<mml:mn>2</mml:mn>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the volume of distribution in the kidney compartment.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Schematic representation of the PopPK model. The model describes the AmB PK following an i.v. administration using a two-compartment structure. The central compartment (A1) represents the plasma and well-perfused tissues. The peripheral compartment (A2) represents the kidney, where unbound drug concentrations (fu) are of interest. Drug distribution between plasma and the kidney is governed by the rate constants k12 (from plasma to the kidney) and k21 (from the kidney to plasma). The drug is eliminated from the central compartment via first-order elimination (k10).</p>
</caption>
<graphic xlink:href="fphar-15-1515462-g002.tif"/>
</fig>
<p>The estimated parameter values are presented in <xref ref-type="table" rid="T1">Table 1</xref>. The best residual error model for the total plasma and free kidney concentrations was the proportional model, which was based on goodness-of-fit and lower AIC. In the final model, inter-individual variability (IIV) was incorporated in V<sub>1</sub>, V<sub>2</sub>, k<sub>10</sub>, and k<sub>12</sub>. The model validation methods showed predictive performance for the AmB model. The VCPs for total plasma and free kidney concentrations are shown in <xref ref-type="fig" rid="F3">Figure 3</xref>, confirming the adequacy of the model. The VPCs confirmed that the model was adequate to simultaneously describe the data of all the evaluated groups. The categorical covariate infection by <italic>C. albicans</italic> did not influence the model performance (<italic>p</italic> &#x3e; 0.05). The stability of the final model was assessed by bootstrap analysis, with parameters estimated by the model agreeing with the respective confidence intervals estimated for 200 bootstrap replicates (<xref ref-type="table" rid="T1">Table 1</xref>).</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Parameter estimates in the final AmB population PK model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Parameter</th>
<th rowspan="2" align="center">Estimate [R.S.E. (%)]</th>
<th colspan="3" align="center">Bootstrap (n &#x3d; 200)</th>
</tr>
<tr>
<th align="center">P 2.5</th>
<th align="center">Median</th>
<th align="center">P 97.5</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">V<sub>1</sub> (mL/kg)</td>
<td align="center">3.3 (46.4)</td>
<td align="center">1.42</td>
<td align="center">3.52</td>
<td align="center">6.95</td>
</tr>
<tr>
<td align="center">V<sub>2</sub> (mL/kg)</td>
<td align="center">328.58 (21.6)</td>
<td align="center">224.48</td>
<td align="center">342.87</td>
<td align="center">533.39</td>
</tr>
<tr>
<td align="center">k<sub>10</sub> (h<sup>-1</sup>)</td>
<td align="center">8.53 (33.4)</td>
<td align="center">3.21</td>
<td align="center">8.07</td>
<td align="center">15.81</td>
</tr>
<tr>
<td align="center">k<sub>12</sub> (h<sup>-1</sup>)</td>
<td align="center">91.58 (31.3)</td>
<td align="center">49.45</td>
<td align="center">90.33</td>
<td align="center">287.5</td>
</tr>
<tr>
<td align="center">k<sub>21</sub> (h<sup>-1</sup>)</td>
<td align="center">1.07 (15.1)</td>
<td align="center">0.68</td>
<td align="center">1.08</td>
<td align="center">2.3</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th colspan="7" align="center">Inter-individual variability</th>
</tr>
<tr>
<th align="left"/>
<th align="center">Estimate</th>
<th align="center">C.V. (%)</th>
<th align="center">R.S.E. (%)</th>
<th align="center">P 2.5</th>
<th align="center">Median</th>
<th align="center">P 97.5</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">&#x3c9;<sup>2</sup> (V<sub>1</sub>)</td>
<td align="center">0.87</td>
<td align="center">106.18</td>
<td align="center">24.3</td>
<td align="center">0.15</td>
<td align="center">0.79</td>
<td align="center">1.26</td>
</tr>
<tr>
<td align="center">&#x3c9;<sup>2</sup> (V<sub>2</sub>)</td>
<td align="center">0.67</td>
<td align="center">74.71</td>
<td align="center">23.4</td>
<td align="center">0.29</td>
<td align="center">0.61</td>
<td align="center">0.81</td>
</tr>
<tr>
<td align="center">&#x3c9;<sup>2</sup> (k<sub>10</sub>)</td>
<td align="center">0.54</td>
<td align="center">58.74</td>
<td align="center">40.6</td>
<td align="center">0.066</td>
<td align="center">0.42</td>
<td align="center">0.99</td>
</tr>
<tr>
<td align="center">&#x3c9;<sup>2</sup> (k<sub>12</sub>)</td>
<td align="center">0.57</td>
<td align="center">62.34</td>
<td align="center">47.9</td>
<td align="center">0.15</td>
<td align="center">0.52</td>
<td align="center">0.98</td>
</tr>
</tbody>
</table>
<table>
<thead valign="top">
<tr>
<th colspan="5" align="center">Error model parameters</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">&#x3c3;2 (proportional error, plasma)</td>
<td align="center">0.76 (11.3)</td>
<td align="center">0.57</td>
<td align="center">0.77</td>
<td align="center">0.96</td>
</tr>
<tr>
<td align="center">&#x3c3;2 (proportional error, kidney)</td>
<td align="center">0.65 (8.26)</td>
<td align="center">0.53</td>
<td align="center">0.65</td>
<td align="center">0.77</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Visual predictive checks of total plasma (upper panel) and free kidney (lower panel) AmB concentrations versus time for the final model. Dots show the observed plasma concentrations. The lines show the fifth percentile (lower dashed blue line), 50th percentile (blue line), and 95th percentile (upper dashed blue line) of the observed plasma concentrations. The shaded areas show the fifth percentile (blue shading), 50th percentile (red shading), and 95th percentile (blue shading) of the observed kidney concentration.</p>
</caption>
<graphic xlink:href="fphar-15-1515462-g003.tif"/>
</fig>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>This is the first study that assesses the renal penetration of AmB using microdialysis in healthy and <italic>C. albicans</italic>-infected rats. The sites of candidiasis systemic infections are extravascular, so the pharmacological treatment depends on the diffusion of the antifungal drug out of the bloodstream and into the interstitial space and intracellular fluid (<xref ref-type="bibr" rid="B24">Levison and Levison, 2009</xref>). Drug penetration must be sufficient to achieve concentrations that eliminate or stop the growth of the fungus, having therapeutic success, and, ideally, the plasma concentration should reflect tissue concentrations (<xref ref-type="bibr" rid="B12">Felton et al., 2014</xref>).</p>
<p>Microdialysis has proven to be a powerful tool to investigate the tissue distribution of antimicrobial agents. Compared with traditional sampling methods, microdialysis is the only technique that allows the collection of the protein unbound drug since the unbound fraction of the drug is available for absorption, distribution, metabolism and elimination, and delivery to the target sites for pharmacodynamic actions. Furthermore, microdialysis allows systemic and local administration of drugs, collection of small-molecular weight substances from the extracellular space, and conducting of the experiment in awake animals because the perfusion of the probe is not painful. Regarding limitations, microdialysis is an invasive procedure, and there are analytical difficulties with some molecules and low membrane recoveries with high-molecular-weight compounds (<xref ref-type="bibr" rid="B33">Parent et al., 2001</xref>; <xref ref-type="bibr" rid="B25">Lietsche et al., 2014</xref>; <xref ref-type="bibr" rid="B42">Tsai, 2003</xref>).</p>
<p>
<italic>In vitro</italic> calibration of microdialysis probes is considered an essential step for further <italic>in vivo</italic> studies. Although <italic>in vitro</italic> calibration does not eliminate the need to assess drug recovery <italic>in vivo</italic>, it provides essential information on drug gain and loss and the feasibility of <italic>in vivo</italic> calibration (<xref ref-type="bibr" rid="B28">MacVane et al., 2014</xref>). It was possible to define the microdialysis workflow by evaluating the influence of the different test flow rates on the relative recovery of AmB and drug concentration. Among all flow rates tested, the relative recovery of AmB was greater in the flow rate of 1.5&#xa0;&#x3bc;L/min (the flow being chosen for this work) with RR<sub>D</sub> 22.5% &#xb1; 8.5% and RR<sub>RD</sub> 20.0% &#xb1; 6.0%, with no statistical difference between rates of recovery determined by the two methods used.</p>
<p>There is a change in recovery for different flow rates. In general, lower flow rates result in higher relative recovery values, and high flow rates result in lower recovery rates (<xref ref-type="bibr" rid="B35">Plock and Kloft, 2005</xref>). The flow rate of 1&#xa0;&#x3bc;L/min showed less relative recovery when compared to the flow rate of 1.5&#xa0;&#x3bc;L/min. This phenomenon can occur in perfusion flows below or equal to 1&#xa0;&#x3bc;L/min due to membrane adsorption processes (<xref ref-type="bibr" rid="B21">Kjellstr&#xf6;m et al., 1998</xref>). Low flow rates also increase the collection interval due to the sample volume and the quantification limit of the analytical method. On the other hand, high flow rates can be conducive to the ultrafiltration process due to the pressure accumulated in the microdialysis tube, resulting in liquid flow out of the probe (<xref ref-type="bibr" rid="B35">Plock and Kloft, 2005</xref>), as was the case with the 2&#xa0;&#x3bc;L/min flow rate, which had a less relative recovery.</p>
<p>In assessing the influence of AmB concentration on recovery from microdialysis, the results showed that there was no statistical difference in the relative recovery among the concentrations and methods evaluated, showing that the recovery of AmB is independent of the investigated concentration range and will not change in concentrations in floating tissue.</p>
<p>The RR<sub>RD</sub> <italic>in vivo</italic> was lower and statistically different from the recovery determined <italic>in vitro</italic> by retrodialysis at the same rate. This phenomenon is due in large part to the reduced volume of fluid and the increase in tissue tortuosity, with an increase in the diffusion length caused by the impediment imposed by cellular structures as to the connectivity of spaces. In addition, tissue diffusion can be further delayed by binding the analyte to cell surface proteins along the diffusion path, indicating that the <italic>in vivo</italic> recovery of an analyte must be less than the <italic>in vitro</italic> recovery of the same analyte in a solution (<xref ref-type="bibr" rid="B38">Shippenberg and Thompson, 2001</xref>), as previously reported for other drugs (<xref ref-type="bibr" rid="B40">Torres et al., 2017</xref>).</p>
<p>AmB total plasma and free kidney concentration&#x2013;time profiles were obtained after the administration of 2.5&#xa0;mg/kg dose. This dose, still in AmB linearity (<xref ref-type="bibr" rid="B43">Walsh et al., 1998</xref>), was used in the pharmacokinetic study due to the low <italic>in vivo</italic> relative recovery of AmB and the quantification limit of the validated analytical method. After the administration of this dose, no change was observed in the pharmacokinetic parameters and renal distribution of AmB during <italic>C. albicans</italic> infection in rats using a bi-compartmental model with kidney/plasma redistribution and linear elimination. The final model adequately describes the data with adequate diagnostic parameters and graphics. Observations <italic>versus</italic> model predictions, GOF, and VPC plots (<xref ref-type="fig" rid="F3">Figure 3</xref>) support the adequacy of the PK model in describing the experimental data.</p>
<p>Some studies demonstrate that an infection can alter the physiological characteristics of the infected tissue due to the inflammatory process developed by the host to eliminate the invasive organism, as observed in soft tissue infections (<xref ref-type="bibr" rid="B17">Joukhadar et al., 2001</xref>), septic shock (<xref ref-type="bibr" rid="B18">Joukhadar et al., 2002</xref>), or infections (<xref ref-type="bibr" rid="B39">Tegeder et al., 2002</xref>) with several antibiotics. Moxifloxacin (<xref ref-type="bibr" rid="B19">Joukhadar et al., 2003</xref>), imipenem (<xref ref-type="bibr" rid="B39">Tegeder et al., 2002</xref>), piperacillin, and cefpirome (<xref ref-type="bibr" rid="B18">Joukhadar et al., 2002</xref>) had less penetration into inflamed, infected tissues, and critical volunteers. There is no clear possible explanation for the poor distribution of tissues and organs. It is expected that the local inflammation itself increases capillary permeability, but studies suggest that because of the systemic inflammatory response of the infection, there is capillary leakage, generating interstitial edema. Likewise, other studies indicate that an infection, mainly caused by <italic>Candida</italic> sp, does not interfere with the renal penetration of drugs, as with voriconazole (<xref ref-type="bibr" rid="B9">de Araujo et al., 2009</xref>) and fluconazole (<xref ref-type="bibr" rid="B1">Azeredo et al., 2012</xref>), and therefore, free kidney concentration is predicted by total plasma concentration. Thus, it is suggested that the phenomenon observed with AmB in this study is not exclusive to this drug but is probably shared by other anti-infective agents.</p>
<p>AmB concentrations decreased rapidly during the first 4&#xa0;h after administration and remained almost constant until 36&#xa0;h, revealing a phase of slow elimination, as previously reported in <xref ref-type="bibr" rid="B13">Fielding et al., 1991</xref>; <xref ref-type="bibr" rid="B13">Fielding et al., 1991</xref>. Studies using microdialysis to determine the free tissue concentrations of AmB were not found in the literature. Population parameters showed a considerable tissue distribution of AmB, with V<sub>2</sub> of 328.58&#xa0;mL/kg and k<sub>12</sub> 91.58 h<sup>-1</sup>. The entire free concentration of AmB in the plasma can be distributed to the kidneys.</p>
<p>AmB protein binding determined for two plasma concentrations (2 and 8&#xa0;&#x3bc;g/mL) <italic>in vitro</italic> using both healthy and <italic>C. albicans</italic>-infected rat plasma demonstrated that protein binding was concentration-dependent. In the literature, there are no data on the connection to plasma proteins of AmB in rats, although this drug has been used and studied for a long time. The human data demonstrate that AmB is mainly bound to plasma lipoproteins (<xref ref-type="bibr" rid="B5">Brajtburg et al., 1984</xref>) and also human serum albumin and human alfa-1-acid glycoprotein (<xref ref-type="bibr" rid="B4">Bekersky et al., 2002</xref>); <xref ref-type="bibr" rid="B4">Bekersky et al. (2002)</xref> evaluated the <italic>in vitro</italic> binding of AmB to human plasma using increasing concentrations of drugs. AmB was shown to be distinctly nonlinear and dependent on the concentration, which is not expected for most drugs due to the saturation of the binding site with increased plasma drug concentration (<xref ref-type="bibr" rid="B4">Bekersky et al., 2002</xref>). Nonlinear protein binding has been studied and discussed by several authors after some tetracyclines presented this type of behavior and showed the importance of the exposure and penetration of the drug in the tissues (<xref ref-type="bibr" rid="B10">Deitchman et al., 2018</xref>). Still, regarding the results of AmB binding to proteins, there was no difference in the binding of the plasma of healthy and <italic>C. albicans-</italic>infected rats. The concentration dependency in our study did not interfere drastically since the plasma concentrations of the drug only reached the concentration of 8&#xa0;&#x3bc;g/mL in a few moments of the experiment, as can be seen in the concentration <italic>versus</italic> time curve (<xref ref-type="fig" rid="F1">Figure 1</xref>).</p>
<p>In conclusion, a population PK model capable of simultaneously describing plasma and kidney concentrations of AmB that was generated and estimating the parameters associated with tissue distribution in the rats&#x2019; model, demonstrating that there is no statistical difference in drug penetration in the kidneys in healthy and <italic>C. albicans</italic>-infected groups. In addition, the data from the present study generate the hypothesis that AmB has a nonlinear protein binding. Therefore, infection by <italic>C. albicans</italic> does not interfere with kidney penetration of AmB, which easily penetrates, and plasma AmB concentrations are considered a good predictor for free kidney concentrations and can be used to optimize AmB regimens to treat disseminated candidiasis considering the drug&#x2013;protein binding.</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="ethics-statement" id="s6">
<title>Ethics statement</title>
<p>The animal study was approved by the Veterinary School of the Federal University of Bahia (UFBA) Animal Use Ethics Committee (protocol number 26/2018). The study was conducted in accordance with the local legislation and institutional requirements</p>
</sec>
<sec sec-type="author-contributions" id="s7">
<title>Author contributions</title>
<p>VS: data curation, formal analysis, investigation, methodology, software, visualization, and writing&#x2013;original draft. LP: data curation, formal analysis, investigation, methodology, validation, and writing&#x2013;review and editing. Jd: data curation, investigation, methodology, validation, and writing&#x2013;review and editing. MB: data curation, investigation, methodology, validation, and writing&#x2013;review and editing. CB: data curation, investigation, methodology, validation, and writing&#x2013;review and editing. LS: data curation, investigation, methodology, validation, and writing&#x2013;review and editing. CV: supervision, visualization, and writing&#x2013;review and editing. FA: conceptualization, funding acquisition, investigation, project administration, resources, software, supervision, visualization, and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s8">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research, authorship, and/or publication of this article. This work was supported by CNPq-Brazil (process 407600/2016-7). This study was financed in part by the Coordena&#xe7;&#xe3;o de Aperfei&#xe7;oamento de Pessoal de N&#xed;vel Superior - Brasil (CAPES) &#x2013; Finance Code 001.</p>
</sec>
<ack>
<p>The authors are thankful to the Brazilian agencies CNPq and FAPESB for scholarship support. The authors would like to thank Prof. Dr. Eryvaldo S&#xf3;crates Tabosa do Egito from UFRN/Brazil for donating the Anforicin<sup>&#xae;</sup>, Prof. T&#xe2;nia Barros from UFBA/Brazil for donating the ATCC strain of <italic>Candida albicans</italic> used in this study, and Prof. Denis Soares from UFBA/Brazil for offering his laboratory for performing the experiments with animals.</p>
</ack>
<sec sec-type="COI-statement" id="s9">
<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="s10">
<title>Generative AI statement</title>
<p>The author(s) declare that generative AI was used in the creation of this manuscript. The authors used Grammarly for English revision purposes.</p>
</sec>
<sec sec-type="disclaimer" id="s11">
<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>
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