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<front>
<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">1104482</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2023.1104482</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>Predicting treatment response to vancomycin using bacterial DNA load as a pharmacodynamic marker in premature and very low birth weight neonates: A population PKPD study</article-title>
<alt-title alt-title-type="left-running-head">Samb 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.2023.1104482">10.3389/fphar.2023.1104482</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Samb</surname>
<given-names>Amadou</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2079145/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>De Kroon</surname>
<given-names>Rimke</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1587704/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Dijkstra</surname>
<given-names>Koos</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2158129/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Van Den Brand</surname>
<given-names>Marre</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2163534/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bos</surname>
<given-names>Martine</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Van Den Dungen</surname>
<given-names>Frank</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Veldkamp</surname>
<given-names>Agnes</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wilhelm</surname>
<given-names>Bram</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>De Haan</surname>
<given-names>Timo R.</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Bijleveld</surname>
<given-names>Yuma A.</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Tutu Van Furth</surname>
<given-names>Marceline</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/727297/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Savelkoul</surname>
<given-names>Paul</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
</xref>
<xref ref-type="aff" rid="aff7">
<sup>7</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Swart</surname>
<given-names>Noortje</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Mathot</surname>
<given-names>Ron</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Van Weissenbruch</surname>
<given-names>Mirjam</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/830842/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>Department of Pharmacy and Clinical Pharmacology</institution>, <institution>Amsterdam UMC location University of Amsterdam</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Neonatology</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Department of Pharmacy and Clinical Pharmacology</institution>, <institution>Amsterdam UMC location Vrije Universiteit Amsterdam</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Department of Medical Microbiology and Infection Control</institution>, <institution>Amsterdam University Medical Center</institution>, <institution>location VU Medical Center</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>InBiome BV</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Department of Pediatric Infectious Diseases and Immunology</institution>, <institution>Emma Children&#x2019;s Hospital</institution>, <institution>Amsterdam Institute for Infection and Immunity</institution>, <addr-line>Amsterdam</addr-line>, <country>Netherlands</country>
</aff>
<aff id="aff7">
<sup>7</sup>
<institution>Department of Medical Microbiology</institution>, <institution>NUTRIM School of Nutrition and Translational Research in Metabolism</institution>, <institution>Maastricht University Medical Centre</institution>, <addr-line>Maastricht</addr-line>, <country>Netherlands</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/753782/overview">Erwin Dreesen</ext-link>, KU Leuven, Belgium</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/824926/overview">Ashwin Karanam</ext-link>, Pfizer, United States</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/830283/overview">Jiraganya (JJ) Bhongsatiern</ext-link>, Regeneron Pharmaceuticals, Inc., United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Amadou Samb, <email>a.samb@amsterdamumc.nl</email>
</corresp>
<fn fn-type="other">
<p>This article was submitted to Obstetric and Pediatric Pharmacology, a section of the journal Frontiers in Pharmacology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>16</day>
<month>02</month>
<year>2023</year>
</pub-date>
<pub-date pub-type="collection">
<year>2023</year>
</pub-date>
<volume>14</volume>
<elocation-id>1104482</elocation-id>
<history>
<date date-type="received">
<day>21</day>
<month>11</month>
<year>2022</year>
</date>
<date date-type="accepted">
<day>18</day>
<month>01</month>
<year>2023</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2023 Samb, De Kroon, Dijkstra, Van Den Brand, Bos, Van Den Dungen, Veldkamp, Wilhelm, De Haan, Bijleveld, Tutu Van Furth, Savelkoul, Swart, Mathot and Van Weissenbruch.</copyright-statement>
<copyright-year>2023</copyright-year>
<copyright-holder>Samb, De Kroon, Dijkstra, Van Den Brand, Bos, Van Den Dungen, Veldkamp, Wilhelm, De Haan, Bijleveld, Tutu Van Furth, Savelkoul, Swart, Mathot and Van Weissenbruch</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>
<bold>Background:</bold> While positive blood cultures are the gold standard for late-onset sepsis (LOS) diagnosis in premature and very low birth weight (VLBW) newborns, these results can take days, and early markers of possible treatment efficacy are lacking. The objective of the present study was to investigate whether the response to vancomycin could be quantified using bacterial DNA loads (BDLs) determined by real-time quantitative polymerase chain reaction (RT-qPCR).</p>
<p>
<bold>Methods:</bold> VLBW and premature neonates with suspected LOS were included in a prospective observational study. Serial blood samples were collected to measure BDL and vancomycin concentrations. BDLs were measured with RT-qPCR, whereas vancomycin concentrations were measured by LC-MS/MS. Population pharmacokinetic&#x2013;pharmacodynamic modeling was performed with NONMEM.</p>
<p>
<bold>Results:</bold> Twenty-eight patients with LOS treated with vancomycin were included. A one-compartment model with post-menstrual age (PMA) and weight as covariates was used to describe the time PK profile of vancomycin concentrations. In 16 of these patients, time profiles of BDL could be described with a pharmacodynamic turnover model. The relationship between vancomycin concentration and first-order BDL elimination was described with a linear-effect model. Slope <italic>S</italic> increased with increasing PMA. In 12 patients, no decrease in BDL over time was observed, which corresponded with clinical non-response.</p>
<p>
<bold>Discussion:</bold> BDLs determined through RT-qPCR were adequately described with the developed population PKPD model, and treatment response to vancomycin using BDL in LOS can be assessed as early as 8&#xa0;h after treatment initiation.</p>
</abstract>
<kwd-group>
<kwd>neonatology</kwd>
<kwd>vancomycin</kwd>
<kwd>NONMEM</kwd>
<kwd>pharmacodynamics</kwd>
<kwd>coagulase-negative staphylococci</kwd>
<kwd>bacterial DNA</kwd>
<kwd>pharmacokinetics</kwd>
<kwd>TDM</kwd>
</kwd-group>
<contract-sponsor id="cn001">ZonMw<named-content content-type="fundref-id">10.13039/501100001826</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">Fonds NutsOhra<named-content content-type="fundref-id">10.13039/501100003142</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Janivo Stichting<named-content content-type="fundref-id">10.13039/501100010316</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Late-onset sepsis (LOS) or nosocomial sepsis is a severe infectious neonatal condition characterized by bacteremia and a systemic inflammatory response that clinically manifests after the first 72&#xa0;h of life and typically originates from indwelling central lines or catheters during hospital admission (<xref ref-type="bibr" rid="B31">Shane et al., 2017</xref>). Premature and/or very low birth weight (VLBW) neonates are at an increased risk for LOS due to an immature immune system and frequent exposure to invasive procedures in neonatal intensive care units (NICUs) (<xref ref-type="bibr" rid="B34">Stoll et al., 2004</xref>). Coagulase-negative staphylococci (CoNS) are the predominant pathogen in LOS (<xref ref-type="bibr" rid="B9">Dong and Speer, 2015</xref>). Approximately 21% of VLBW infants experience at least one episode of culture-proven LOS (<xref ref-type="bibr" rid="B33">Stoll et al., 2002</xref>). LOS has a high morbidity and mortality rate in premature and/or small for gestational age infants (<xref ref-type="bibr" rid="B34">Stoll et al., 2004</xref>). In cases of (suspected) LOS, the current standard of care is initiating treatment with broad-spectrum antibiotics (an aminoglycoside and a penicillin derivative) until the pathogen is identified by blood culture, which can take up to 48&#xa0;h. Thereafter, narrow-spectrum antibiotic treatment targeting the isolated pathogen is initiated.</p>
<p>Intravenous (i.v.) vancomycin is given for 7&#xa0;days in neonates with CoNS-positive LOS. Standardized loading doses of vancomycin are initiated, and subsequent doses may be corrected and individualized by means of therapeutic drug monitoring (TDM). However, the bactericidal efficacy of vancomycin is currently not assessed by readily accessible or reliable pharmacodynamic (PD) markers. Current vancomycin dosing regimens rely on indexed pharmacokinetic (PK) efficacy targets, based on the ratio of area under the curve (AUC<sub>0&#x2013;24h</sub>) and minimal-inhibitory concentration (MIC) (<xref ref-type="bibr" rid="B25">Pacifici and Allegaert, 2012</xref>; <xref ref-type="bibr" rid="B1">Abdulla et al., 2021</xref>; <xref ref-type="bibr" rid="B19">Lee et al., 2021</xref>). As these PK/PD indices rely heavily on the MIC, these may be inadequate as MICs are highly variable between patients, bacterial strains, and over time (<xref ref-type="bibr" rid="B28">Rathi et al., 2016</xref>).</p>
<p>PD markers that accurately describe the early and gradual bactericidal action of vancomycin in the case of CoNS-positive LOS are needed. Bacterial DNA load (BDL), determined through real-time quantitative PCR (RT-qPCR), is a marker used for this purpose. The method has a short turnover time, is sensitive, biologically accurate, and most of all, requires a small volume of blood (<xref ref-type="bibr" rid="B36">Van den Brand et al., 2014</xref>; <xref ref-type="bibr" rid="B37">van den Brand et al., 2018</xref>). The objective of this study was to assess changes in BDL to characterize the early response to vancomycin treatment in CoNS-positive LOS. A population-PK/PD model was developed for quantifying the effect of vancomycin on BDL in CoNS-positive LOS. In addition, potential covariates that influence the measure of the bactericidal effect were explored. Using this model, we aimed to gain insight into the vancomycin bactericidal effect over time and evaluate PD and clinical responses within the first hours of vancomycin treatment. A quantified vancomycin effect on BDL could support the accuracy of TDM.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Study design</title>
<p>This was a single-center, prospective, observational study during a consisting intervention in the Amsterdam University Medical Center (Division of Neonatology, Pediatrics Department, VU Medical Center, Amsterdam, The Netherlands). Serial blood samples were collected for determining antibiotic concentrations, BDLs, and inflammatory markers. The study was approved by the local ethics committee (METC Vrije Universiteit Medisch Centrum, Amsterdam, The Netherlands) prior to the inclusion of patients and recorded in the Dutch CCMO registry (file number: NL22434.029.08).</p>
</sec>
<sec id="s2-2">
<title>2.2 Study population</title>
<p>Inclusion of subjects took place between 1 February 2009 and 13 November 2014. Neonates with suspected LOS and/or meningitis who were either premature or VLBW were eligible for inclusion. For the identification of LOS, the definitions by <xref ref-type="bibr" rid="B38">van der Zwet et al. (2005)</xref> were adhered. Prematurity was defined as a gestational age (GA) &#x3c;32&#xa0;weeks, and VLBW was defined as a birth weight below 1,500&#xa0;g. Patients with syndromal or chromosomal abnormalities and congenital metabolic disease were excluded from the study. Oral and written informed consent was a prerequisite for study participation. Following clinical practice at that time, the first-in-line treatment for LOS was intravenous amikacin (12&#xa0;mg/kg/day) combined with intravenous benzylpenicillin (200,000&#xa0;IU/kg/day). After the initial blood culture results were known, treatment was switched to a targeted antibiotic. For the research, only the studied patients with culture-proven CoNS infection and vancomycin treatment (20&#x2013;48&#xa0;mg/kg/day) in 1-hourly intravenous infusions were included in the analysis.</p>
</sec>
<sec id="s2-3">
<title>2.3 Sample collection</title>
<p>Whole blood samples were collected from newly inserted peripheral venous cannulas and (if available) from the central (umbilical) venous catheters. Blood samples (0.2&#xa0;mL) for BDL measurement were collected at t &#x3d; 0&#xa0;h, t &#x3d; 4&#xa0;h, t &#x3d; 24&#xa0;h, and t &#x3d; 48&#xa0;h. The samples at t &#x3d; 0&#xa0;h were collected before the first vancomycin dose. Plasma samples (0.1&#xa0;mL) were collected at t &#x3d; 1&#xa0;h, t &#x3d; 2&#xa0;h, t &#x3d; 4&#xa0;h, and t &#x3d; 12&#xa0;h for measuring vancomycin concentrations. After collection, the samples were stored at &#x2212;20&#xb0;C until analysis.</p>
<p>Additional clinical and anthropomorphic data such as dose information, GA, post-menstrual age (PMA), postnatal age (PNA), birth weight (BW), current weight (WT), length (LT), concomitant medication, C-reactive protein (CRP), and serum creatinine (SCr) were collected from the patients&#x2019; electronic medical files.</p>
</sec>
<sec id="s2-4">
<title>2.4 Real-time quantitative PCR</title>
<p>The design, validation, and evaluation of the used RT-qPCR method have been described in earlier publications (<xref ref-type="bibr" rid="B36">Van den Brand et al., 2014</xref>; <xref ref-type="bibr" rid="B37">van den Brand et al., 2018</xref>). In brief, 200&#xa0;&#xb5;L of EDTA anticoagulated whole blood samples was treated with TTE (1% Triton X-100, 20&#xa0;mM Tris-HCl pH 8.3, 1&#xa0;mM EDTA) twice for hemolysis and removal of hemoglobin. Next, the samples were incubated for 10&#xa0;min in 200&#xa0;&#xb5;L of bacterial lysis buffer (Biocartis, Mechelen, Belgium) at 95&#xb0;C while shaking at 800&#xa0;rpm. Then, 20&#xa0;&#xb5;L of neutralization buffer (Biocartis, Mechelen, Belgium) was added to the solution, and DNA was purified using the NucliSENS EasyMag device (bioM&#xe9;rieux, Zaltbommel, The Netherlands). Samples were spiked with Phocine herpesvirus 1 as an internal control.</p>
<p>PCR was performed on a LightCycler 480II device (Roche Diagnostics, Almere, The Netherlands). 2 &#xd7; LightCycler 490 Probes Master (12.5 &#xb5;L), 2.5&#xa0;&#xb5;L primers and probes, and 10&#xa0;&#xb5;L purified DNA sample were used as reaction mixtures. The samples were screened for the eight most common pathogens of LOS in a multiplex assay (<xref ref-type="bibr" rid="B36">Van den Brand et al., 2014</xref>). Cycling conditions were 10&#xa0;min at 95&#xb0;C, followed by 45 cycles of 15&#xa0;s at 95&#xb0;C and 1&#xa0;min at 60&#xb0;C. If amplification was detected, the sample was then evaluated in a monoplex assay for quantitative analysis. BDLs were determined using a standard curve of serial dilutions of cloned PCR amplicons. The BDL was expressed in colony-forming units equivalent per ml (CFU eq/mL) by correcting for blood volumes and the number of PCR target copies per genome. The lower limit of quantification (LLOQ) for CoNS was 55&#xa0;CFU eq/mL.</p>
</sec>
<sec id="s2-5">
<title>2.5 Liquid chromatography coupled to tandem mass spectrometry (LC-MS/MS)</title>
<p>Vancomycin concentrations were measured in plasma samples using LC-MS/MS. In brief, an Acquity TQD tandem quadrupole UPLC/MS/MS system (Waters, Milford, United States) was used, and the method had a within-run accuracy and an imprecision of at least 94.5% and at most 5.3%, respectively. Between-run accuracy and imprecision were at least 104.5% and at most 8.7%, respectively. The LLOQ of the used method was 0.22&#xa0;mg/L (<xref ref-type="bibr" rid="B7">Chahbouni et al., 2015</xref>).</p>
</sec>
<sec id="s2-6">
<title>2.6 Bactericidal responses and clinical record evaluation</title>
<p>Changes in BDL over time following the initial vancomycin dose were plotted for all individuals in the study population. Thereafter, clinical records and treatment response patterns of patients were evaluated by a neonatologist of our research team for correspondence to BDL profiles.</p>
</sec>
<sec id="s2-7">
<title>2.7 Pharmacokinetic&#x2013;pharmacodynamic data analysis</title>
<p>The BDL responses were modeled for all patients demonstrating a bactericidal response. Non-linear mixed-effects population PKPD (pop-PKPD) modeling was performed to describe and evaluate the relationship between vancomycin dose, concentration, and BDL and used to estimate pop-PKPD parameters. The model was developed using NONMEM version 7.4.0 software (Icon Development Solutions, Ellicott City, MD, United States). All data handling, data visualization, and descriptive statistics were performed using R statistics version 4.1.0 (<xref ref-type="bibr" rid="B26">R Core Team, 2021</xref>). Model validation and evaluation steps were performed with PsN version 5.3.0.</p>
<p>In a pop-PKPD analysis, data from all patients are analyzed simultaneously, allowing the analysis of patients for which only sparse samples are available. With sparse sampling, individual parameter estimates may be obtained by <italic>post hoc</italic> (Bayesian) analysis. Both &#x201c;fixed effects&#x201d; (typical parameters) and &#x201c;random effects&#x201d; (inter-individual variability (IIV) and residual variability) are estimated in pop-PKPD modeling. Thus, parameters such as clearance (CL) and the IIV in CL are embedded in the model. Part of the IIV may be explained by including covariates such as age in the model. Any remaining inaccuracies in predictions are included in the model as residual error. Parameter estimations were evaluated by assessing the objective function value (OFV), which is a maximum likelihood estimation-based approach. For parameter inclusion in nested models, a change in OFV of &#x2212;3.84 corresponds with a <italic>p</italic>-value &#x3d; 0.05 given 1&#xb0; of freedom, which was deemed significant for parameter inclusion. After each modeling step, model accuracy was assessed by evaluating goodness-of-fit (GOF) plots, parameter relative standard error (RSE), and changes in OFV. Models were evaluated and internally validated using visual predictive check (VPC, <italic>N</italic> &#x3d; 1,000) or prediction-corrected VPC (pc-VPC, <italic>N</italic> &#x3d; 1,000), a simulation-based diagnostic to evaluate the predictive performance of the model. Model robustness and parameter certainty were assessed by a sampling importance resampling (SIR) procedure (<xref ref-type="bibr" rid="B10">Dosne et al., 2016</xref>; <xref ref-type="bibr" rid="B11">Dosne et al., 2017</xref>). Using the covariance matrix as the initial proposal distribution, five iterations with 1,000, 1,000, 1,000, 2,000, and 2,000 samples (M) and 200, 400, 500, 1,000, and 1,000 resamples (m) were performed during SIR.</p>
<p>The integrated PKPD model was developed using a sequential estimation approach. First, a vancomycin PK model found in literature was used for data description. Seven different published PK models were screened, selected on model evaluation and validation and similarities in the study population (<xref ref-type="bibr" rid="B30">Seay et al., 1994</xref>; <xref ref-type="bibr" rid="B12">Grimsley and Thomson, 1999</xref>; <xref ref-type="bibr" rid="B6">Capparelli et al., 2001</xref>; <xref ref-type="bibr" rid="B17">Kimura et al., 2004</xref>; <xref ref-type="bibr" rid="B2">Anderson et al., 2007</xref>; <xref ref-type="bibr" rid="B21">Marqu&#xe9;s-Mi&#xf1;ana et al., 2010</xref>; <xref ref-type="bibr" rid="B24">Oudin et al., 2011</xref>). The model with the highest precision, defined as the root mean squared error (<italic>rmse</italic>), was selected. It was a prerequisite for unbiased model performance, which was assessed using the distribution of the mean error (<italic>me</italic>). This was further supported by evaluation of GOF and VPC. Finally, the model that most accurately described the data was used as the foundation for the final model and used to reliably estimate the individual CL and volumes of distribution (V<sub>d</sub>) of the study population using the POSTHOC setting in NONMEM.</p>
<p>An empirical turnover PD model was appended to the PK model (<xref ref-type="fig" rid="F2">Figure 2</xref>). In this PD model, it was assumed that there is both bacterial growth and bacterial decay in the absence of vancomycin, and the rates were parameterized as <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> and <italic>k</italic>
<sub>
<italic>death</italic>,</sub> respectively. Effect <italic>E</italic> of vancomycin was modeled to augment the effect of <italic>k</italic>
<sub>
<italic>death</italic>
</sub> in the model, as shown in differential Eq. <xref ref-type="disp-formula" rid="e1">1</xref>.<disp-formula id="e1">
<mml:math id="m1">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">g</mml:mi>
<mml:mi mathvariant="bold">r</mml:mi>
<mml:mi mathvariant="bold">o</mml:mi>
<mml:mi mathvariant="bold">w</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mi mathvariant="bold">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">N</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold">E</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold">d</mml:mi>
<mml:mi mathvariant="bold">e</mml:mi>
<mml:mi mathvariant="bold">a</mml:mi>
<mml:mi mathvariant="bold">t</mml:mi>
<mml:mi mathvariant="bold">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold">N</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
</p>
<p>where, <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> is the first-order multiplication rate h<sup>&#x2212;1</sup>, <italic>k</italic>
<sub>
<italic>death</italic>
</sub> is the first-order decay rate of in h<sup>&#x2212;1</sup>, <italic>N</italic> is the BDL in CFU eq/mL, and <italic>E</italic> is the stimulatory effect of vancomycin on <italic>k</italic>
<sub>
<italic>death</italic>
</sub>. If simultaneous estimation of k<sub>growth</sub>, k<sub>death</sub>, and effect parameters was not possible due to insufficient data, <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> was defined as a zero-order constant (Eq. <xref ref-type="disp-formula" rid="e2">2</xref>), changing the PD model to Eq. <xref ref-type="disp-formula" rid="e3">3</xref>:<disp-formula id="e2">
<mml:math id="m2">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">B</mml:mi>
<mml:mi mathvariant="bold-italic">D</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">L</mml:mi>
<mml:mn mathvariant="bold">0</mml:mn>
</mml:msub>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
</p>
<p>
<italic>k</italic>
<sub>
<italic>growth</italic>
</sub> is the zero-order multiplication rate of BDL in CFU eq&#x2a;ml<sup>&#x2212;1</sup>&#x2a;h<sup>&#x2212;1</sup>, <italic>k</italic>
<sub>
<italic>death</italic>
</sub> is the first-order decay rate in h<sup>&#x2212;1</sup>, and <italic>BDL</italic>
<sub>
<italic>0</italic>
</sub> is the estimated BDL in CFU eq/mL at t &#x3d; 0&#xa0;h.<disp-formula id="e3">
<mml:math id="m3">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold-italic">N</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">&#x3b4;</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">g</mml:mi>
<mml:mi mathvariant="bold-italic">r</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">w</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">k</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">t</mml:mi>
<mml:mi mathvariant="bold-italic">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold-italic">N</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>Effect <italic>E</italic> was parameterized as either a linear-effect model (Eq. <xref ref-type="disp-formula" rid="e4">4</xref>) or a sigmoidal <italic>E</italic>
<sub>
<italic>max</italic>
</sub> model (Eq. <xref ref-type="disp-formula" rid="e5">5</xref>):<disp-formula id="e4">
<mml:math id="m4">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi mathvariant="bold-italic">S</mml:mi>
<mml:mo>&#x2a;</mml:mo>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>
<disp-formula id="e5">
<mml:math id="m5">
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:mi mathvariant="bold-italic">max</mml:mi>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">&#x3b3;</mml:mi>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">E</mml:mi>
<mml:msubsup>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mn mathvariant="bold">50</mml:mn>
<mml:mi mathvariant="bold-italic">&#x3b3;</mml:mi>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">&#x3b3;</mml:mi>
</mml:msup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>.<label>(5)</label>
</disp-formula>
</p>
<p>In Eq. <xref ref-type="disp-formula" rid="e4">4</xref>, Effect <italic>E</italic> is the product of the vancomycin concentration <italic>C</italic> and slope <italic>S.</italic> For the sigmoidal <italic>E</italic>
<sub>
<italic>max</italic>
</sub> model (Eq. <xref ref-type="disp-formula" rid="e5">5</xref>), Effect <italic>E</italic> is described by maximum effect <italic>E</italic>
<sub>
<italic>max</italic>
</sub>, vancomycin concentration <italic>C</italic>, the vancomycin concentration where 50% of the maximum effect is achieved (<italic>EC</italic>
<sub>
<italic>50</italic>
</sub>), and a hill constant <italic>&#x3b3;</italic> that describes the steepness of the effect.</p>
<p>Stepwise covariate analysis was performed, with a significance threshold of <italic>p</italic> &#x3d; 0.05 for forward inclusion and <italic>p</italic> &#x3d; 0.01 for backward elimination. GA, PMA, PNA, WT, BW, baseline, and CRP were evaluated as potential covariates. Continuous covariates were modeled as a linear or power function (Eqs <xref ref-type="disp-formula" rid="e6">6</xref>, <xref ref-type="disp-formula" rid="e7">7</xref>).<disp-formula id="e6">
<mml:math id="m6">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn mathvariant="bold">1</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">v</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
<disp-formula id="e7">
<mml:math id="m7">
<mml:mrow>
<mml:mi mathvariant="bold-italic">P</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
<mml:mi mathvariant="bold-italic">p</mml:mi>
</mml:msub>
<mml:mo>&#x2a;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:mi mathvariant="bold-italic">V</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="bold-italic">C</mml:mi>
<mml:mi mathvariant="bold-italic">O</mml:mi>
<mml:msub>
<mml:mi mathvariant="bold-italic">V</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">m</mml:mi>
<mml:mi mathvariant="bold-italic">e</mml:mi>
<mml:mi mathvariant="bold-italic">d</mml:mi>
<mml:mi mathvariant="bold-italic">i</mml:mi>
<mml:mi mathvariant="bold-italic">a</mml:mi>
<mml:mi mathvariant="bold-italic">n</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="bold-italic">&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="bold-italic">c</mml:mi>
<mml:mi mathvariant="bold-italic">o</mml:mi>
<mml:mi mathvariant="bold-italic">v</mml:mi>
</mml:mrow>
</mml:msub>
</mml:msup>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>where parameter <italic>P</italic> is expressed by typical parameter &#x3b8;<sub>p</sub>, which is affected by deviation of covariate <italic>COV</italic> from the median covariate value <italic>COV</italic>
<sub>
<italic>median</italic>
</sub> with an effect of magnitude <italic>&#x3b8;</italic>
<sub>
<italic>cov</italic>
</sub>.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Demographic characteristics</title>
<p>A total of 28 patients with CoNS-positive LOS and vancomycin treatment were included for analysis. The demographic characteristics of these patients are depicted in <xref ref-type="table" rid="T1">Table 1</xref>. A total of 94 vancomycin concentrations and 132 BDLs were available for analysis.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Demographic characteristics of the study population.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Characteristic</th>
<th align="left"/>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">
<italic>Patients&#x2014;N</italic>
</td>
<td align="left">28</td>
</tr>
<tr>
<td align="left">
<italic>Vancomycin samples&#x2014;N</italic>
</td>
<td align="left">94</td>
</tr>
<tr>
<td align="left">
<italic>BDL samples&#x2014;N</italic>
</td>
<td align="left">132</td>
</tr>
<tr>
<td align="left">
<italic>Female&#x2014;N (%)</italic>
</td>
<td align="left">9 (32.1%)</td>
</tr>
<tr>
<td align="left">
<italic>GA (weeks)&#x2014;median (IQR)</italic>
</td>
<td align="left">28.4 (26.7&#x2013;29.9)</td>
</tr>
<tr>
<td align="left">
<italic>PNA (days)&#x2014;median (IQR)</italic>
</td>
<td align="left">11 (8&#x2013;14)</td>
</tr>
<tr>
<td align="left">
<italic>PMA (days)&#x2014;median (IQR)</italic>
</td>
<td align="left">214 (200&#x2013;220)</td>
</tr>
<tr>
<td align="left">
<italic>WT (grams)&#x2014;median (IQR)</italic>
</td>
<td align="left">1,110 (955&#x2013;1,279)</td>
</tr>
<tr>
<td align="left">
<italic>BW (grams)&#x2014;median (IQR)</italic>
</td>
<td align="left">1,150 (971&#x2013;1,235)</td>
</tr>
<tr>
<td align="left">
<italic>LT (cm)&#x2014;median (IQR)</italic>
</td>
<td align="left">37.5 (35.0&#x2013;39.6)</td>
</tr>
<tr>
<td align="left">
<italic>BLT (cm)&#x2014;median (IQR)</italic>
</td>
<td align="left">38.0 (35.0&#x2013;39.1)</td>
</tr>
<tr>
<td align="left">
<italic>SCr (&#xb5;mol/L)&#x2014;median (IQR)</italic>
</td>
<td align="left">49.5 (44.8&#x2013;55.3)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>GA, gestational age; PNA, postnatal age; PMA, post-menstrual age; WT, bodyweight at inclusion; BW, birth weight; LT, length at inclusion; BLT, birth length; SCr, serum creatinine.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Bacterial DNA load response</title>
<p>Pooled BDL responses during vancomycin treatment are depicted in <xref ref-type="fig" rid="F1">Figure 1</xref>. A bactericidal BDL response, defined as a decrease in BDL in 48&#xa0;h, was observed in 16 patients, combined with clinical efficacy (<xref ref-type="fig" rid="F1">Figure 1A</xref>). Six patients demonstrated persisting septic BDL profiles (<xref ref-type="fig" rid="F1">Figure 1B</xref>). Five of these patients had complicated central line infections in which lines were not removed during BDL measurements, which explains the lack of clinical and BDL response since clinical response was observed upon line removal. The two erratic profiles (<xref ref-type="fig" rid="F1">Figure 1C</xref>) could be explained by patients having an infected thrombus and an infected line obstructed by a pustule, respectively. Four patients had near-unquantifiable BDL profiles (<xref ref-type="fig" rid="F1">Figure 1D</xref>). However, in three of these patients, amikacin-susceptible CoNS were isolated and, therefore, cured due to the empirical pretreatment with amikacin. The persisting septic, erratic, and unquantifiable profiles were pooled as &#x2018;non-response&#x2019; (<italic>n</italic> &#x3d; 12).</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Bacterial DNA load (BDL)-time profiles during vancomycin treatment. <italic>X</italic>-axis: time in hours; <italic>Y</italic>-axis: BDL in log10&#xa0;cfu eq/mL. Dots and lines of the same color within a plot indicate observations for individual patients. <bold>(A)</bold> Bactericidal responses; individuals demonstrating a negative trend in BDL over time. <bold>(B)</bold> Persisting septic responses; individuals demonstrating a constant or increasing trend in BDL over time. <bold>(C)</bold> Erratic responses; individuals demonstrating an erratic BDL over time following no specific pattern. <bold>(D)</bold> Unquantifiable response; individuals with very low BDL and BDL below quantification limit since vancomycin treatment.</p>
</caption>
<graphic xlink:href="fphar-14-1104482-g001.tif"/>
</fig>
</sec>
<sec id="s3-3">
<title>3.3 Vancomycin pharmacokinetic&#x2013;pharmacodynamic model</title>
<p>Seven published PK models for vancomycin in pediatric/neonatal populations were evaluated to fit the study data. The one-compartment model by <xref ref-type="bibr" rid="B21">Marqu&#xe9;s-Mi&#xf1;ana et al. (2010)</xref> (<xref ref-type="table" rid="T2">Table 2</xref>) was most accurate in describing the vancomycin levels of our study population. This was decided based on precision, as defined by the lowest <italic>rmse</italic> and bias, which was evaluated using the confidence interval of <italic>me</italic> (<xref ref-type="bibr" rid="B32">Sheiner and Beal, 1981</xref>) (<xref ref-type="bibr" rid="B29">Salimnia et al., 2016</xref>). An <italic>rmse</italic> of 2.959&#xa0;mg/L was observed, which was the lowest of all tested models. The <italic>me</italic> was 0.147&#xa0;mg/L (&#x2212;0.453&#x2013;0.747&#xa0;mg/L), indicating unbiased model performance. This was supported by GOF plots and pc-VPC (<xref ref-type="sec" rid="s11">Supplementary Figure S1</xref>). While the model included comedication with spironolactone and amoxicillin as covariates, no patients received any of these drugs during the study period. The PK model was used to estimate the individual CL and V<sub>d</sub> of the study population.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Structural model, final model, and SIR results for the plasma and saliva model.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center"/>
<th colspan="2" align="center">Structural model</th>
<th colspan="2" align="center">Final model</th>
<th colspan="2" align="center">SIR results (five iterations)</th>
</tr>
<tr>
<th colspan="2" align="center">OFV &#x3d; 81.361</th>
<th colspan="2" align="center">OFV &#x3d; 69.883</th>
<th colspan="2" align="center">
<italic>M</italic> &#x3d; 1,000, 1,000, 1,000, 2000, and 2000 <italic>m</italic> &#x3d; 200,400,500,1000, and 1,000</th>
</tr>
<tr>
<th align="center">Parameter</th>
<th align="center">Estimate</th>
<th align="center">RSE</th>
<th align="center">Estimate</th>
<th align="center">RSE</th>
<th align="center">Mean estimate (95% CI)</th>
<th align="center">RSE</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="7" align="left">Plasma model <xref ref-type="bibr" rid="B21">Marqu&#xe9;s-Mi&#xf1;ana et al. (2010)</xref>
</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;CL (l&#x2a; h<sup>&#x2212;1</sup> &#x2a;kg<sup>&#x2212;1</sup> &#x2a;wk<sup>&#x2212;1</sup>)</td>
<td align="center">0.00192</td>
<td align="center">&#x2014;</td>
<td align="center">0.00192</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;V (L kg<sup>&#x2212;1</sup>)</td>
<td align="center">0.572</td>
<td align="center">&#x2014;</td>
<td align="center">0.572</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;AMX-CL</td>
<td align="center">0.65</td>
<td align="center">&#x2014;</td>
<td align="center">0.65</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;SPI-V</td>
<td align="center">0.344</td>
<td align="center">&#x2014;</td>
<td align="center">0.344</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c9;CL</td>
<td align="center">35.6%</td>
<td align="center">&#x2014;</td>
<td align="center">35.6%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c9;V</td>
<td align="center">19.3%</td>
<td align="center">&#x2014;</td>
<td align="center">19.3%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c3;<sub>add</sub> (mg L<sup>&#x2212;1</sup>)</td>
<td align="center">2.69</td>
<td align="center">&#x2014;</td>
<td align="center">2.69</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td colspan="7" align="left">Saliva model</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;<sub>kdeath</sub> (h<sup>&#x2212;1</sup>)</td>
<td align="center">0.0033</td>
<td align="center">31%</td>
<td align="center">0.0035</td>
<td align="center">31%</td>
<td align="center">0.0037 (0.0016&#x2013;0.0065)</td>
<td align="center">37%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;<sub>S</sub>
</td>
<td align="center">0.862</td>
<td align="center">36%</td>
<td align="center">0.833</td>
<td align="center">32%</td>
<td align="center">0.968 (0.503&#x2013;1.893)</td>
<td align="center">37%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;<sub>PMA</sub>
</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
<td align="center">8.23</td>
<td align="center">31%</td>
<td align="center">7.76 (3.23&#x2013;13.27)</td>
<td align="center">33%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;<sub>BDL-0</sub>
</td>
<td align="center">10,600</td>
<td align="center">24%</td>
<td align="center">10,400</td>
<td align="center">22%</td>
<td align="center">11,213 (7,815&#x2013;15717)</td>
<td align="center">18%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3b8;<sub>BDL-S</sub>
</td>
<td align="center">1.13</td>
<td align="center">25%</td>
<td align="center">1.02</td>
<td align="center">20%</td>
<td align="center">1.17 (0.974&#x2013;1.327)</td>
<td align="center">8%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c9;<sub>S</sub> (shrinkage)</td>
<td align="center">64.1% (24%)</td>
<td align="center">71%</td>
<td align="center">58.8% (20%)</td>
<td align="center">36%</td>
<td align="center">45% (12.6%&#x2013;72.5%)</td>
<td align="center">40%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c9;<sub>BDL-s</sub> (shrinkage)</td>
<td align="center">72.0% (11%)</td>
<td align="center">18%</td>
<td align="center">5.8% (11%)</td>
<td align="center">27%</td>
<td align="center">60% (34.6%&#x2013;83.1%)</td>
<td align="center">23%</td>
</tr>
<tr>
<td align="left">&#x2003;&#x3c3;<sub>prop</sub> (shrinkage)</td>
<td align="center">0.163 (27%)</td>
<td align="center">16%</td>
<td align="center">16.3% (27%)</td>
<td align="center">16%</td>
<td align="center">17.7% (13.0%&#x2013;24.8%)</td>
<td align="center">16%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>&#x3b8;<sub>cl</sub>, clearance; PMA, post-menstrual age; WT, bodyweight; AMX, amoxicillin comedication; &#x3b8;<sub>AMX-CL</sub>, amoxicillin effect on clearance; &#x3b8;<sub>V</sub>, volume of distribution; SPI, spironolactone use; &#x3b8;<sub>SPI-V</sub>, spironolactone effect on volume of distribution; &#x3b8;<sub>kdeath</sub>, first-order rate constant for natural bacterial death. &#x3b8;<sub>S</sub>, slope of the linear-effect model; &#x3b8;<sub>PMA</sub>, power equation exponent of PMA on &#x3b8;<sub>S</sub>; &#x3b8;<sub>BDL0</sub>, typical BDL<sub>0</sub>; &#x3b8;<sub>BDL0-S</sub>, slope of linear BDL<sub>0</sub> function; &#x3c9;S, inter-individual variability in slope S; &#x3c9;<sub>BDL0-s</sub>, inter-individual variability in typical BDL<sub>0</sub>; &#x3c3;<sub>prop</sub>, proportional residual error; OFV, objective function value. The BDL<sub>0</sub> was scaled with the median BDL<sub>0</sub> of 14520.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>A population PK-PD model was developed using only the data of the patients demonstrating a bactericidal response to vancomycin (<italic>n</italic> &#x3d; 16; <xref ref-type="fig" rid="F1">Figure 1A</xref>). We attempted to develop a model including all patients, though no model could be fit due to data limitations. Pharmacodynamics was described with an empirical turnover model (<xref ref-type="fig" rid="F2">Figure 2</xref>). Parameter estimates of the model are summarized in <xref ref-type="table" rid="T2">Table 2</xref>. The natural BDL decay was described in the structural model with the first-order rate constant <italic>k</italic>
<sub>
<italic>death</italic>
</sub> of 0.0033&#xa0;h<sup>&#x2212;1</sup>. The stimulatory effect <italic>E</italic> of vancomycin on <italic>k</italic>
<sub>
<italic>death</italic>
</sub> was expressed as a linear-effect model (Eq. <xref ref-type="disp-formula" rid="e4">4</xref>), with a slope <italic>S</italic> of 0.862. The IIV of the slope was 64.1%. Due to limited data, the natural growth constant <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> could not be estimated as an independent parameter. Therefore, <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> was expressed as Eq. <xref ref-type="disp-formula" rid="e2">2</xref> and was a zero-order rate constant dependent on the initial BDL<sub>0</sub> at t &#x3d; 0&#xa0;h and <italic>k</italic>
<sub>
<italic>death</italic>
</sub>. BDL<sub>0</sub> was estimated, and the last measured BDL before vancomycin treatment (BL) was included as a linear structural covariate. The IIV in BDL<sub>0</sub> was 72% and was slightly correlated with the IIV of <italic>S</italic>, as indicated by an off-diagonal of 30.1% in the omega matrix. The proportional residual error was 16.3%.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Conceptual pharmacokinetic&#x2013;pharmacodynamic model for vancomycin effect on bacterial DNA load. Left side of the dashed line: one-compartment PK model. Vancomycin is infused intravenously for 1&#xa0;h and is renally cleared from the body. Right side of the dashed line: empirical turnover PD model. The number of CoNS (N) has a natural <italic>in vivo</italic> multiplication rate of k<sub>growth</sub> and natural cell death rate of k<sub>death</sub>. The vancomycin concentration in plasma has a bactericidal action by stimulation of k<sub>death</sub>, depicted by the dashed arrow connecting the left and right sections of the figure.</p>
</caption>
<graphic xlink:href="fphar-14-1104482-g002.tif"/>
</fig>
<p>In the covariate analysis, PMA was significantly associated with slope <italic>S</italic>. Using a power model (Eq. <xref ref-type="disp-formula" rid="e7">7</xref>), an exponent of 8.2 was estimated, thereby decreasing the IIV of the S from 64.1% to 58.8% (<xref ref-type="table" rid="T2">Table 2</xref>). The correlation between the IIV in S and BDL in the off-diagonal of the omega matrix was increased to 72.3% for the final model. Relative standard errors of all parameters were within the acceptable range. GOF plots of the final model indicated an adequate model fit to the data (<xref ref-type="fig" rid="F3">Figure 3</xref>). The bactericidal effect of vancomycin on individual patients is depicted in <xref ref-type="fig" rid="F4">Figure 4</xref>.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Goodness-of-fit plots and prediction-corrected VPC of the final model: <bold>(A)</bold> Goodness-of-fit plots for the PD model. Top left; individual log10 BDL predictions vs. log10 BDL observations. Top right; population log10 BDL predictions vs. log10 BDL observations. Bottom left; population BDL log10 predictions vs. CWRES. Bottom right; time after last dose vs. CWRES. CWRES: conditional weighted residuals. <bold>(B)</bold> Prediction-corrected VPC of the PD model (<italic>n</italic> &#x3d; 1,000). <italic>X</italic>-axis: time after last dose; <italic>Y</italic>-axis, prediction-corrected log10 BDL. Black dots: observations. Blue lines: 10th and 90th percentiles of observations. Red line: median of observations. Blue shaded areas: 95% CIs of simulated 10th and 90th percentiles. Red shaded area: 95% CI of simulated median.</p>
</caption>
<graphic xlink:href="fphar-14-1104482-g003.tif"/>
</fig>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>Fitted and observed BDL over time for individual responders. <italic>X</italic>-axis: time in hours. <italic>Y</italic>-axis: BDL in log10&#xa0;cfu eq/mL. Dark blue arrows: vancomycin dosing times. Orange squares: observations. Solid orange line: individual predictions. Dashed orange line: population predictions.</p>
</caption>
<graphic xlink:href="fphar-14-1104482-g004.tif"/>
</fig>
<p>Model performance was evaluated using a pc-VPC (<italic>N</italic> &#x3d; 1,000) (<xref ref-type="fig" rid="F3">Figure 3</xref>). The upper, median, and lower percentiles of the observations were within the 95% CIs of the corresponding simulated percentiles, indicating that the model could adequately predict the BDL levels of patients responding to treatment as a function of vancomycin PK. To assess model robustness and parameter uncertainty, SIR was performed. The SIR results of the final model are shown in <xref ref-type="table" rid="T2">Table 2</xref>; <xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>. The proposed parameter distribution was above the reference distribution. After the final iteration, the dOFV plots showed a chi-squared distribution with few degrees of freedom than the number of parameters in the model. No temporal trends were observed, and therefore the SIR results were accepted. There was full coverage of the final parameters.</p>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>In this study, bacterial DNA loads were used as a PD marker to evaluate the bactericidal effect of vancomycin in premature and/or VLBW neonates with CoNS-positive late-onset sepsis. In patients demonstrating a bactericidal response, the time profile of the BDL could be quantified with an empirical PK/PD model. Using this model, the time course and measure of the bactericidal effect of vancomycin could be described (<xref ref-type="fig" rid="F4">Figure 4</xref>).</p>
<p>To our knowledge, the present study is the first to quantify the bactericidal effect of vancomycin in premature and VLBW neonates with CoNS-positive LOS by assessing time profiles of BDL using RT-qPCR. Bacterial PCR has been investigated in the past as a potential diagnostic tool and for antimicrobial susceptibility screening in the context of LOS, and varying results have been reported, with some studies suggesting that BDL measured through PCR methods could serve as a surrogate for blood culture in diagnosing some infectious diseases (<xref ref-type="bibr" rid="B36">Van den Brand et al., 2014</xref>; <xref ref-type="bibr" rid="B7">Chahbouni et al., 2015</xref>), while others demonstrated that PCR-based diagnostics were inferior to conventional blood culture (<xref ref-type="bibr" rid="B35">Tr&#xf6;ger et al., 2016</xref>; <xref ref-type="bibr" rid="B23">Morrissey et al., 2017</xref>). All studies indicate that PCR-based diagnostics are feasible, however.</p>
<p>After assessing previously published population PK models for vancomycin, the model by <xref ref-type="bibr" rid="B21">Marqu&#xe9;s-Mi&#xf1;ana et al. (2010)</xref> was found to best describe the observed vancomycin levels of our study population (<xref ref-type="bibr" rid="B30">Seay et al., 1994</xref>; <xref ref-type="bibr" rid="B12">Grimsley and Thomson, 1999</xref>; <xref ref-type="bibr" rid="B6">Capparelli et al., 2001</xref>; <xref ref-type="bibr" rid="B17">Kimura et al., 2004</xref>; <xref ref-type="bibr" rid="B2">Anderson et al., 2007</xref>, and; <xref ref-type="bibr" rid="B24">Oudin et al., 2011</xref>). The selected model was developed using data from 70 neonates admitted to an NICU and treated with vancomycin, with a large proportion of patients comparable to our study population (<xref ref-type="bibr" rid="B21">Marqu&#xe9;s-Mi&#xf1;ana et al., 2010</xref>). The model was internally and externally validated by the original authors.</p>
<p>For patients responding to vancomycin treatment, time profiles of BDL were described using a turnover model (<xref ref-type="fig" rid="F2">Figure 2</xref>). There was a positive relation between slope <italic>S</italic> and PMA when PMA was included as a power function with an estimated exponent of 8.23, indicating that older patients demonstrated a larger bactericidal effect than younger patients at equal vancomycin concentrations. However, it is questionable whether this perceived age dependency in the bactericidal activity of vancomycin is truly the underlying process for the increased BDL decline for patients of higher PMA. Innate and adaptive immunity is immature for premature neonates, and it is possible that increased bactericidal action at higher PMA is a product of higher immune activity, rather than an increased effect of vancomycin (<xref ref-type="bibr" rid="B8">Collins et al., 2018</xref>). However, the data did not support the estimation of IIV on <italic>k</italic>
<sub>
<italic>death</italic>
</sub>, nor could PMA be estimated as a covariate on <italic>k</italic>
<sub>
<italic>death</italic>
</sub>. Nonetheless, including PMA in the model as an exponential function on slope <italic>S</italic> significantly improved model fit and explained 5.3% of the IIV in slope <italic>S</italic>. Still, the remaining IIV in slope <italic>S</italic> in the final model was 58.8% and could be considered very high for classical PKPD models. This high variability is likely the result of oversimplification of the model. A true mechanistic antimicrobial PKPD model incorporates a complicated system of true bacterial growth, decay, and sigmoidal E<sub>
<italic>max</italic>
</sub> effects, as well as resistance mechanisms, ideally with multiple levels of IIV. Oversimplification of these underlying mechanisms results in a model where all these types of variability have been combined in a single, large IIV for slope. As for high IIV in BDL<sub>0</sub>, this is strongly supported by the data since the included patients demonstrated enormous variability in BDL at the first vancomycin dose.</p>
<p>A number of mechanistic PKPD models for antimicrobials have been published; however, these models have been exclusively applied in <italic>in vitro</italic> and animal studies. No such models could be found using clinical PD data. An overview of published antimicrobial PKPD models has been provided in a database by <xref ref-type="bibr" rid="B22">Minichmayr et al. (2022)</xref>. A single similar publication was found that modeled the effect of vancomycin on CoNS colonization in central line-associated LOS using an <italic>in vitro</italic> hollow fiber infection model and a rabbit model (<xref ref-type="bibr" rid="B27">Ramos-Mart&#xed;n et al., 2016</xref>). The authors found that based on a translational model using their preclinical data, currently accepted dosing guidelines of AUC/MIC &#x2265;400 were potentially too low for neonates &#x2264;29&#xa0;weeks GA and argued that efforts should be made for developing more efficacious dosing regimens in central line-associated LOS, optimizing bactericidal efficacy, minimizing toxicity, and preventing drug resistance.</p>
<p>Since the analyzed population was small, bootstrapping methods were deemed unsuitable for evaluating parameter uncertainty and model stability (<xref ref-type="bibr" rid="B11">Dosne et al., 2017</xref>). Thus, SIR was used for this purpose. SIR converged after five iterations (<xref ref-type="sec" rid="s11">Supplementary Figure S2</xref>), and reliable RSE and 95% confidence intervals were obtained (<xref ref-type="table" rid="T2">Table 2</xref>). Based on the SIR results, the model was deemed accurate.</p>
<p>Simulation-based model evaluation using pc-VPC (<italic>N</italic> &#x3d; 1,000) indicated that the final model could adequately predict the observed BDLs in the study population. Therefore, the final constructed model was deemed suitable for this study and provided sufficient insight that the effect of vancomycin on BDLs as determined through RT-qPCR can be described in a population-PKPD model.</p>
<p>Six patients demonstrated an increasing or constant BDL, as demonstrated in <xref ref-type="fig" rid="F1">Figure 1B</xref>. These &#x201c;persisting septic&#x201d; BDL responses were evaluated by a neonatologist in our research team using the recorded clinical response of the patient. Indeed, five of these patients had clinically persistent CoNS bacteremia during vancomycin therapy, where the primary source of LOS was CoNS colonization of the central venous line (CVL) <italic>in situ,</italic> and removal of the CVL resulted in clinical improvements and negative blood cultures. Although CVL infections are a frequent source of nosocomial sepsis, there seems to be little consensus on whether CVL removal is beneficial in CoNS bacteremia (<xref ref-type="bibr" rid="B5">Cairns et al., 1995</xref>; <xref ref-type="bibr" rid="B4">Benjamin et al., 2000</xref>; <xref ref-type="bibr" rid="B3">Benjamin et al., 2001</xref>). It has been found that in over 70% of CoNS CVL infections, line retention does not interfere with antimicrobial efficacy (<xref ref-type="bibr" rid="B5">Cairns et al., 1995</xref>). However, <xref ref-type="bibr" rid="B3">Benjamin et al. (2001)</xref> stated that CVL removal should be considered for patients with persistent sepsis, identified as four consecutive blood cultures positive for CoNS. Two of our patients presented erratic BDL profile measurements, showing no specific pattern in BDL change over time (<xref ref-type="fig" rid="F1">Figure 1C</xref>). In one of these two patients, CoNS bacteremia was secondary to an infected thrombus. Presence of an infected thrombus has been implied as a risk factor for persistent or recurrent staphylococcal sepsis in multiple case reports (<xref ref-type="bibr" rid="B14">Hubbard et al., 2016</xref>; <xref ref-type="bibr" rid="B20">Mani and Chandrasekharan, 2022</xref>). Incremental degradation of the colonized thrombus due to shearing stress and releasing CoNS-infected debris into the bloodstream at irregular time intervals could explain the observed erratic BDL profile. The other patient suffered from an infected peripheral venous line, complicated by the presence of a pustule at the ankle. Likewise, irregular mechanical stress at the primary site of infection could release high loads of infected material into the bloodstream at random intervals. For some patients, most measured BDLs were below or near the quantification limit following vancomycin treatment (<xref ref-type="fig" rid="F1">Figure 1D</xref>). In these cases, the isolated CoNS culture was susceptible to amikacin. During this study, empirical amikacin and benzylpenicillin treatment was a clinical routine until diagnostic blood culture results. Therefore, susceptible CoNS exposed to 48&#xa0;h of amikacin is expected to demonstrate substantial bacterial killing, explaining the absence of CoNS BDL during subsequent vancomycin therapy.</p>
<p>There were some limitations to this study. First, since RT-qPCR quantifies the total bacterial DNA in the study sample, it could not distinguish between DNA from living or dead bacteria. While it is known that circulating free DNA has a half-life of 1&#x2013;2&#xa0;h and is cleared through macrophage-mediated phagocytosis and enzymatic degradation in the spleen and liver, to our best knowledge, the rate at which dead bacteria are cleared from the neonatal bloodstream is unknown (<xref ref-type="bibr" rid="B18">Kustanovich et al., 2019</xref>). To account for the time delay between vancomycin dosing and BDL decrease in the model, we attempted to estimate the lag time (T<sub>lag</sub>). However, including a T<sub>lag</sub> in the model did not increase model fit and overcomplicated the model. Using total BDL allowed for a comprehensive approximation of bactericidal activity. Another limitation of the study was the risk of sample contamination. CoNS are not only the most frequent pathogen in LOS in developed countries but also the predominant contaminating micro-organism in blood samples (<xref ref-type="bibr" rid="B15">Huebner and Goldmann, 1999</xref>). Therefore, efforts should be made to minimalize the contamination risk. For instance, assessment of bacterial density could be considered or multiple sample sources could be used (<xref ref-type="bibr" rid="B16">Kassis et al., 2009</xref>). This was not performed during this study, as this would result in an unacceptable burden due to increased blood sampling. Regardless of this, culture-based assessments should be combined with careful clinical examination of patients to minimize the risk of unnecessary treatment due to sample contamination. The final limitation of the study is that no BDL profiles in the absence of antibiotic treatment were available. Therefore, it was difficult to distinguish between natural bacterial growth and treatment and thus estimate <italic>k</italic>
<sub>
<italic>growth</italic>
</sub>
<italic>, k</italic>
<sub>
<italic>death</italic>
</sub>
<italic>,</italic> and slope <italic>S</italic> as separate parameters. Unfortunately, no values of <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> <italic>or k</italic>
<sub>
<italic>death</italic>
</sub> of CoNS, either as initial estimates or fixed parameters, could be found in the literature. A single study was identified that investigated the mechanistic PKPD relations between vancomycin and CoNS based on <italic>in vitro</italic> and animal data, though no parameter estimates were published in the model (<xref ref-type="bibr" rid="B27">Ramos-Mart&#xed;n et al., 2016</xref>). In our final model, it was assumed that <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> was a zero-order constant dependent on BDL at <italic>T</italic> &#x3d; 0 and <italic>k</italic>
<sub>
<italic>death</italic>
</sub>
<italic>.</italic> As cellular multiplication relies on cell doubling, it is most certainly a first-order process. Moreover, relating <italic>k</italic>
<sub>
<italic>growth</italic>
</sub> to BDL at <italic>T</italic> &#x3d; 0 results in a function in which the BDL cannot exceed this value at the cost of model accuracy. By estimating the BDL<sub>0</sub> with IIV, the model could more accurately predict BDLs above the last BDL before the first vancomycin dose.</p>
<p>There were a number of strengths to this study and its implications. First, an empirical model was developed to describe the bactericidal action of vancomycin in CoNS-positive LOS. CoNS are the predominant infective pathogen in LOS, accounting for approximately 53.2%&#x2013;77.9% of all culture-proven LOS cases in developed countries (<xref ref-type="bibr" rid="B9">Dong and Speer, 2015</xref>). Vancomycin is the first-in-line antibiotic in CoNS-positive LOS, and dosing guidelines in neonatology are currently based on an AUC<sub>24h</sub>/MIC index, in which a target of at least 400 is generally associated with efficacy (<xref ref-type="bibr" rid="B25">Pacifici and Allegaert, 2012</xref>). However, PK/PD indices heavily rely on the MIC, which is associated with considerable variability between bacterial strains, patients, and occasions (<xref ref-type="bibr" rid="B28">Rathi et al., 2016</xref>). Moreover, these indices treat bactericidal action as a binary &#x201c;all-or-nothing&#x201d; response. This implies that bacterial killing is only active at concentrations above the MIC and inactive at levels below the MIC, whereas in reality, bacterial killing changes dynamically with concentration. The method proposed here incorporates gradual bacterial killing as a function of vancomycin concentration and provides a more nuanced insight into bactericidal dynamics, independent of the MIC. This could be of particular benefit in the context of TDM, as improved concentration targets could be identified. Second, a relatively large number of drug concentrations and BDLs were available for each enrolled patient. Blood sampling in neonatology comes with considerable risk, and the number of samples collected per patient is hampered in the research context (<xref ref-type="bibr" rid="B13">Howie, 2011</xref>). Therefore, studies with a large amount of samples per patient are infrequent and valuable in this population. The relatively large amount of measurements per patient in our study allowed for more accurate depictions of the underlying PK and PD principles. A third strength of this study was that bacterial blood colonization was determined through multiplex RT-qPCR. The method used was validated and evaluated in the clinical setting and allowed for quantification of CFU eq/mL by adjusting measured DNA load for sample volume and CoNS genome load (<xref ref-type="bibr" rid="B36">Van den Brand et al., 2014</xref>; <xref ref-type="bibr" rid="B37">van den Brand et al., 2018</xref>). Thus, a surrogate marker for blood colonization that could be quantified within 8&#xa0;h provided information on the bactericidal action of vancomycin in this study. Last, BDL profiles indicating treatment non-response (<xref ref-type="fig" rid="F1">Figures 1BD</xref>) were compared with the corresponding clinical records by a neonatologist to assess whether these patients did not respond clinically. By doing so, the assumption to create the PKPD model based only on data of patients demonstrating a decrease in BDL was confirmed.</p>
<p>This study demonstrates that a decrease in BDL in CoNS-positive LOS can be quantified and predicted as a function of vancomycin concentration over time for patients who respond to vancomycin therapy. If developed further by combining preclinical data with clinical data, this would allow for more nuanced and precise dosing regimens, as compared to the currently used &#x201c;all-or-nothing&#x201d; dosing guidelines based on MIC targets. Moreover, it is expected that the applicability and accuracy of TDM could significantly improve if more evidence-based targets are identified.</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 id="s6">
<title>Ethics statement</title>
<p>The studies involving human participants were reviewed and approved by METC Vrije Universiteit Medisch Centrum, Amsterdam, The Netherlands. Written informed consent to participate in this study was provided by the participants&#x27; legal guardian/next of kin.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>AS performed the analysis and wrote the manuscript. RDK, KD, MVDB, MB, NS, AV, YB, and BW supported the analysis and reviewed the manuscript. FVDD and MT enrolled patients and reviewed the manuscript. PS conceptualized the study and reviewed the manuscript. TDH provided input during the analysis and reviewed the manuscript. RM supervised the analysis and reviewed the manuscript. MVW conceptualized the study, enrolled patients, supervised clinical activities, and reviewed the manuscript.</p>
</sec>
<sec id="s8">
<title>Funding</title>
<p>Funding for this study has been provided by ZonMw (205100007), NutsOhra Fund (1101-093), and the Janivo Foundation (2019378).</p>
</sec>
<ack>
<p>The authors wish to thank the nursing staff and laboratory personnel of the Amsterdam UMC for their contributions to this study.</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="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 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/fphar.2023.1104482/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fphar.2023.1104482/full&#x23;supplementary-material</ext-link>
</p>
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<supplementary-material xlink:href="Image1.TIF" id="SM2" mimetype="application/TIF" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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