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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">769539</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2022.769539</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>Optimal Regimens and Clinical Breakpoint of Avilamycin Against <italic>Clostridium perfringens</italic> in Swine Based on PK-PD Study</article-title>
<alt-title alt-title-type="left-running-head">Huang et&#x20;al.</alt-title>
<alt-title alt-title-type="right-running-head">Regimens Breakpoint Avilamycin <italic>Clostridium perfringens</italic>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Anxiong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/1340740/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Luo</surname>
<given-names>Xun</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="fn" rid="fn1">
<sup>&#x2020;</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xu</surname>
<given-names>Zihui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/360505/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Huang</surname>
<given-names>Lingli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/454728/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Wang</surname>
<given-names>Xu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/242747/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Xie</surname>
<given-names>Shuyu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/242886/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Pan</surname>
<given-names>Yuanhu</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/788368/overview"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Fang</surname>
<given-names>Shiwei</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Liu</surname>
<given-names>Zhenli</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Yuan</surname>
<given-names>Zonghui</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/18666/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Hao</surname>
<given-names>Haihong</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/144325/overview"/>
</contrib>
</contrib-group>
<aff id="aff1">
<sup>1</sup>
<institution>National Reference Laboratory of Veterinary Drug Residues (HZAU) and MOA (Ministry of Agriculture) Key Laboratory for Detection of Veterinary Drug Residues</institution>, <addr-line>Wuhan</addr-line>, <country>China</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>MOA Laboratory for Risk Assessment of Quality and Safety of Livestock and Poultry Products</institution>, <addr-line>Wuhan</addr-line>, <country>China</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/1513203/overview">Rodrigo Cristofoletti</ext-link>, University of Florida, United&#x20;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/1521698/overview">Andrea Diniz</ext-link>, State University of Maring&#xe1;, Brazil</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/275601/overview">Yu-Feng Zhou</ext-link>, South China Agricultural University, China</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Haihong Hao, <email>haihong_hao@aliyun.com</email>
</corresp>
<fn fn-type="equal" id="fn1">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this&#x20;work</p>
</fn>
<fn fn-type="other">
<p>This article was submitted to Drug Metabolism and Transport, a section of the journal Frontiers in Pharmacology</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>24</day>
<month>02</month>
<year>2022</year>
</pub-date>
<pub-date pub-type="collection">
<year>2022</year>
</pub-date>
<volume>13</volume>
<elocation-id>769539</elocation-id>
<history>
<date date-type="received">
<day>02</day>
<month>09</month>
<year>2021</year>
</date>
<date date-type="accepted">
<day>14</day>
<month>01</month>
<year>2022</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2022 Huang, Luo, Xu, Huang, Wang, Xie, Pan, Fang, Liu, Yuan and Hao.</copyright-statement>
<copyright-year>2022</copyright-year>
<copyright-holder>Huang, Luo, Xu, Huang, Wang, Xie, Pan, Fang, Liu, Yuan and Hao</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&#x20;terms.</p>
</license>
</permissions>
<abstract>
<p>
<italic>Clostridium perfringens</italic> causes significant morbidity and mortality in swine worldwide. Avilamycin showed no cross resistance and good activity for treatment of <italic>C. perfringens</italic>. The aim of this study was to formulate optimal regimens of avilamycin treatment for <italic>C. perfringens</italic> infection based on the clinical breakpoint (CBP). The wild-type cutoff value (CO<sub>WT</sub>) was defined as 0.25&#xa0;&#x3bc;g/ml, which was developed based on the minimum inhibitory concentration (MIC) distributions of 120&#x20;<italic>C. perfringens</italic> isolates and calculated using ECOFFinder. Pharmacokinetics&#x2013;pharmacodynamics (PK-PD) of avilamycin in ileal content were analyzed based on the high-performance liquid chromatography method and WinNonlin software to set up the target of PK/PD index (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> based on sigmoid E<sub>max</sub> modeling. The PK parameters of AUC<sub>0&#x2013;24h</sub>, C<sub>max</sub>, and T<sub>max</sub> in the intestinal tract were 428.62&#x20;&#xb1; 14.23&#xa0;h&#xa0;&#x3bc;g/mL, 146.30&#x20;&#xb1; 13.41&#xa0;&#x3bc;g/ml,, and 4&#xa0;h, respectively. The target of (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> for bactericidal activity in intestinal content was 36.15&#xa0;h. The PK-PD cutoff value (CO<sub>PD</sub>) was defined as 8&#xa0;&#x3bc;g/ml and calculated by Monte Carlo simulation. The dose regimen designed from the PK-PD study was 5.2&#xa0;mg/kg mixed feeding and administrated for the treatment of <italic>C. perfringens</italic> infection. Five respective strains with different MICs were selected as the infection pathogens, and the clinical cutoff value was defined as 0.125&#xa0;&#x3bc;g/ml based on the relationship between MIC and the possibility of cure (POC) following nonlinear regression analysis, CART, and &#x201c;Window&#x201d; approach. The CBP was set to be 0.25&#xa0;&#x3bc;g/ml and selected by the integrated decision tree recommended by the Clinical Laboratory of Standard Institute. The formulation of the optimal regimens and CBP is good for clinical treatment and to control drug resistance.</p>
</abstract>
<kwd-group>
<kwd>
<italic>Clostridium perfringens</italic>
</kwd>
<kwd>avilamycin</kwd>
<kwd>optimal regimens</kwd>
<kwd>clinical breakpoint</kwd>
<kwd>PK-PD</kwd>
</kwd-group>
<contract-sponsor id="cn001">National Key Research and Development Program of China<named-content content-type="fundref-id">10.13039/501100012166</named-content>
</contract-sponsor>
<contract-sponsor id="cn002">National Natural Science Foundation of China<named-content content-type="fundref-id">10.13039/501100001809</named-content>
</contract-sponsor>
<contract-sponsor id="cn003">Fundamental Research Funds for the Central Universities<named-content content-type="fundref-id">10.13039/501100012226</named-content>
</contract-sponsor>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>
<italic>Clostridium perfringens</italic> is a common cause of intestinal diseases in humans, animals, fish, and their environment. It has caused serious damage to the global economy in the last few years (<xref ref-type="bibr" rid="B3">Allaart et&#x20;al., 2014</xref>; <xref ref-type="bibr" rid="B33">Nan et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B59">Yadav et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B60">Yan et&#x20;al., 2017</xref>). <italic>C. perfringens</italic> can be divided into five types, including A, B, C, D, and E types, based on the differences between its toxigenic genes and pathogenicity (<xref ref-type="bibr" rid="B20">Hatheway 1990</xref>). <italic>C. perfringens</italic> diseases in pigs are generally caused by type A and type C (<xref ref-type="bibr" rid="B27">Lee et&#x20;al., 2014</xref>). Type A is often linked to diarrhea in suckling piglets with mild necrotizing enterocolitis (<xref ref-type="bibr" rid="B46">Springer et&#x20;al., 2012</xref>); hemorrhagic necrotic enteritis is induced by type C in piglets aged 0&#x2013;2&#xa0;weeks (<xref ref-type="bibr" rid="B56">Waters et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B33">Nan, Hao et&#x20;al., 2017</xref>).</p>
<p>Avilamycin is an orthosomycin family antibiotic derived from the fermentation products of <italic>Streptomyces viridochromogenes</italic> (<xref ref-type="bibr" rid="B32">Mertz et&#x20;al., 1986</xref>; <xref ref-type="bibr" rid="B42">Saito-Shida et&#x20;al., 2018</xref>), including the major active factor avilamycin A and 15 other small factors (<xref ref-type="bibr" rid="B23">JECFA, 2004</xref>). Avilamycin is one of the EU-approved antimicrobial agents in the feed industry and is currently only used in animals to control bacterial enteric infections and multidrug-resistant gram-positive bacteria (<xref ref-type="bibr" rid="B19">Ho et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B30">Lv et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B34">OIE, 2015</xref>). Avilamycin has a strong treatment efficacy against necrotic enteritis (<xref ref-type="bibr" rid="B55">Vissiennon et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B36">Paradis et&#x20;al., 2016</xref>). It does not display cross-resistance with any other antimicrobial agents, suggesting that this type of antimicrobial agents may represent an avenue for the for development of new antimicrobial agents (<xref ref-type="bibr" rid="B1">Aarestrup et&#x20;al., 2000</xref>; <xref ref-type="bibr" rid="B57">Weitnauer et&#x20;al., 2001</xref>; <xref ref-type="bibr" rid="B8">Arenz et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Krupkin et&#x20;al., 2016</xref>). It can be placed at the frontline of drugs due to its low environmental toxicity, extensive metabolism <italic>in vivo</italic>, and reduced ecological hazards (<xref ref-type="bibr" rid="B8">Arenz, Juette et&#x20;al., 2016</xref>; <xref ref-type="bibr" rid="B26">Krupkin, Wekselman et&#x20;al., 2016</xref>).</p>
<p>In order to reduce the occurrence of drug resistance, a reasonable dosing regimen is necessary. Pharmacokinetics&#x2014;pharmacodynamics (PK-PD) study are very important for developing a reasonable dosing regimen (<xref ref-type="bibr" rid="B61">Yoshii et&#x20;al., 2016</xref>). Many PK-PD studies mainly focus on the analysis of PK data in the plasma, because the data in the plasma is relatively stable and easy to obtain, but the Clinical Laboratory of Standard Institute (CLSI) also mentions that when conditions permit, the PK of target tissues can also be used (<xref ref-type="bibr" rid="B11">CLSI 2007a</xref>). For infections of <italic>C. perfringens</italic>, the drug concentration in the ileal contents (an unformed stool sample taken from the ileum) should be used. Compared with disease animal models, healthy animal models have better stability and reproducibility, which is even more important (<xref ref-type="bibr" rid="B11">CLSI 2007a</xref>).</p>
<p>The clinical breakpoint (CBP) is of great significance to antimicrobial susceptibility testing and monitoring of resistance (<xref ref-type="bibr" rid="B35">OIE 2016</xref>; <xref ref-type="bibr" rid="B50">Toutain et&#x20;al., 2017</xref>; <xref ref-type="bibr" rid="B29">Lei et&#x20;al., 2018</xref>). The determination of interpretive CBPs needs a comprehensive analysis of relevant information, including wild-type cutoff value (CO<sub>WT</sub>)/epidemiological cutoff value, PK-PD cutoff value (CO<sub>PD</sub>), and clinical cutoff value (CO<sub>CL</sub>). The CO<sub>WT</sub> needs large numbers of <italic>in&#x20;vitro</italic> minimum inhibitory concentrations (MICs) or zone diameter tests (<xref ref-type="bibr" rid="B52">Turnidge et&#x20;al., 2007</xref>), and it allows the detection of resistance as a biological phenomenon (<xref ref-type="bibr" rid="B50">Toutain, Bousquet-M&#xe9;lou et&#x20;al., 2017</xref>). The CO<sub>PD</sub> is the relationship between drug concentrations and microbial PK parameters <italic>ex vivo</italic> (<xref ref-type="bibr" rid="B25">Kahlmeter et&#x20;al., 2003</xref>; <xref ref-type="bibr" rid="B11">CLSI 2007a</xref>). The CO<sub>CL</sub> is the clinical outcomes with MIC from prospective clinical studies (<xref ref-type="bibr" rid="B4">Ambler et&#x20;al., 2008</xref>). However, the clinical data is not easy to achieve from current studies; the CO<sub>WT</sub> could be used to separate susceptible isolates from isolates with resistance when there is a lack of clinical data (<xref ref-type="bibr" rid="B18">Espinel-Ingroff et&#x20;al., 2011</xref>; <xref ref-type="bibr" rid="B37">Peng et&#x20;al., 2016</xref>). But the CO<sub>WT</sub> cannot represent the CO<sub>PD</sub> and clinical efficacy (<xref ref-type="bibr" rid="B9">Barbour et&#x20;al., 2010</xref>). When the three cutoff values are established, the decision tree from CLSI is applied for establishing the CBPs (<xref ref-type="bibr" rid="B11">CLSI, 2007a</xref>).</p>
<p>The purpose of the current study is to formulate the optimal regimens of avilamycin treatment for <italic>C. perfringens</italic> infection based on the CBP, and the CBP has been based on the CO<sub>WT</sub>, CO<sub>PD</sub>, and CO<sub>CL</sub> of avilamycin against <italic>C. perfringens</italic>.</p>
</sec>
<sec id="s2">
<title>2 Materials and Methods</title>
<sec id="s2-1">
<title>2.1 Chemicals and Reagents</title>
<p>Avilamycin premix (10%) was obtained from Eli Lilly, United&#x20;States. Avilamycin (90%) was separated at the Institute of Veterinary Pharmaceuticals (Wuhan, China) and was confirmed by high-performance liquid chromatography (HPLC) and liquid chromatograph-mass spectrometer/Ion trap/Time of flight. All chemicals used in this experiment were of analytical or higher&#x20;grade.</p>
</sec>
<sec id="s2-2">
<title>2.2 Bacterial Isolates</title>
<p>The clinical <italic>C. perfringens</italic> isolates were isolated from anal swab samples from piglets with or without diarrhea from large swine farms in the Henan, Hubei, Jiangxi, Liaoning, and Hunan Provinces of China. 120 positive strains were identified based on multiplex polymerase chain reaction. All bacteria were anaerobic cultured on tryptose sulfite cycloserine agar bases containing 5% <sc>d</sc>-cycloserine. The control strain was <italic>Bacteroides fragilis</italic> ATCC&#x20;25285.</p>
</sec>
<sec id="s2-3">
<title>2.3 Animals</title>
<p>About 74 weaned, castrated, crossbred (Duroc &#xd7; Large White &#xd7; Landrace) pigs (15&#x20;&#xb1; 2&#xa0;kg) were purchased from the Huazhong Agricultural University&#x27;s pig farm (Wuhan, China), details of which are as shown in <xref ref-type="table" rid="T1">Table&#x20;1</xref>. Two pigs were used to establish the HPLC method for the detection of avilamycin. Six pigs were used to conduct PK-PD experiments. The other pigs were used for the clinical trials. The pigs were acclimatized for 7&#xa0;days before the experiment. All the animal experiments were approved by the Animal Ethics Committee of Huazhong Agricultural University (HZAUSW-2015-012) and the Animal Care Center, Hubei Science and Technology Agency, in China (SYXK 2013-0044). All efforts were taken to reduce the pain and adverse effects on the animals.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Experimental grouping of pigs used in the&#x20;study.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Experiment</th>
<th align="center">Quantity</th>
<th align="center">Use</th>
<th align="center">Strains</th>
<th align="center">MIC (&#x3bc;g/ml)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td rowspan="2" align="left">PK-PD study</td>
<td align="center">2</td>
<td align="left">HPLC</td>
<td align="left">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">PK study</td>
<td align="left">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td rowspan="11" align="left">Clinical treatment</td>
<td align="center">6</td>
<td align="left">Blank</td>
<td align="left">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">6</td>
<td rowspan="5" align="left">Treatment after infection</td>
<td align="left">HG4</td>
<td align="char" char=".">0.015</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HN10</td>
<td align="char" char=".">0.06</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS42</td>
<td align="char" char=".">0.25</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS72</td>
<td align="char" char=".">2</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS101</td>
<td align="char" char=".">8</td>
</tr>
<tr>
<td align="center">6</td>
<td rowspan="5" align="left">No treatment after infection</td>
<td align="left">HG4</td>
<td align="char" char=".">0.015</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HN10</td>
<td align="char" char=".">0.06</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS42</td>
<td align="char" char=".">0.25</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS72</td>
<td align="char" char=".">2</td>
</tr>
<tr>
<td align="center">6</td>
<td align="left">HS101</td>
<td align="char" char=".">8</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MIC, minimum inhibitory concentration; PK, pharmacokinetics; PD, pharmacodynamics; HPLC, high-performance liquid chromatography.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s2-4">
<title>2.4 Determination of Wild-Type Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<p>We used the agar dilution method proposed by CLSI M11-A7, and the interpretation of the results was based on the graphical demonstrations in the CLSI documents (<xref ref-type="bibr" rid="B12">CLSI 2007b</xref>).</p>
<p>The CO<sub>WT</sub> was calculated following the method described by <xref ref-type="bibr" rid="B51">Turnidge et&#x20;al. (2010)</xref>, defined as the highest MIC for the wild-type comprising at least 95% of each MIC distribution, according to the CLSI guidelines (<xref ref-type="bibr" rid="B39">Pfaller et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B38">Pfaller et&#x20;al., 2011</xref>). <xref ref-type="bibr" rid="B22">Ismail et&#x20;al. (2018)</xref> developed the ECOFFinder program based on this principle, which brought the MIC distributions into the software, automatically fitted, and obtained&#x20;CO<sub>WT</sub>.</p>
</sec>
<sec id="s2-5">
<title>2.5 Determination of Pharmacokinetics&#x2013;Pharmacodynamics Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<sec id="s2-5-1">
<title>2.5.1&#x20;<italic>In Vitro</italic> Pharmacodynamics of Avilamycin Against <italic>C. perfringens</italic> HS42</title>
<p>The strain HS42 near the CO<sub>WT</sub> using a strong pathogenic test, by mouse virulence test, was chosen to determine the PK-PD study. The MIC of <italic>C. perfringens</italic> HS42 in the fluid thioglycollate medium (FT) and ileal contents was determined according to the broth dilution method recommended by CLSI M11-A7. By detecting the colony-forming unit (CFU) at different time points (0, 1, 2, 4, 6, 8, 12, and 24&#xa0;h) under different MIC concentrations, we drew the <italic>in&#x20;vitro</italic> time-kill&#x20;curve.</p>
</sec>
<sec id="s2-5-2">
<title>2.5.2&#x20;High-Performance Liquid Chromatography to Determine Avilamycin Concentration</title>
<p>An Aglient SB-Aq, 250&#xa0;&#xd7;&#xa0;4.6&#xa0;mm (i.d.), 5-&#x3bc;m column was used for HPLC, which was performed with a 290&#xa0;nm detection wavelength at 30&#xb0;C. The mobile phase consisted of 10&#xa0;nmol/L ammonium acetate (phase A) and acetonitrile (phase B). The plasma was extracted with acetonitrile twice. The ileal content was extracted with acetone twice, and 10% NaCl solution was added with methylene chloride to the extraction. The solution was dried at 50&#xb0;C under nitrogen. After drying, chloroform was added to dissolve the residue. The silica gel column (Waters, USA) was activated with methanol and chloroform. The dissolving solution was passed through the column to clean, the mixture of chloroform: acetone (4:1) was used to wash, and eluted with a mixture of chloroform: acetone (3:7). The mixture was vortexed and analyzed by liquid chromatography (<xref ref-type="bibr" rid="B47">Sunderland et&#x20;al., 2004</xref>).</p>
<p>The avilamycin standard solution has good linearity in the range of 0.1&#x2013;20&#xa0;&#x3bc;g/ml (<italic>R</italic>
<sup>2</sup> &#x3d; 0.9997). In the plasma, the detection limit of determination (LOD) was 0.05&#xa0;&#x3bc;g/ml and the limit of quantitation (LOQ) was 0.1&#xa0;&#x3bc;g/ml. In the ileal content, the detection LOD was 0.08&#xa0;&#x3bc;g/ml and the LOQ was 0.1&#xa0;&#x3bc;g/ml.</p>
</sec>
<sec id="s2-5-3">
<title>2.5.3 Sampling Procedures</title>
<p>A T-shape ileal cannula was installed in the ileum to get the ileal content. Pigs were allowed to recover fully in separate metabolism crates for about 2&#xa0;weeks and were provided supplemental heat using infrared heating lamps. Before the experiment, food was withheld from the pigs for 36&#xa0;h and water for 12&#xa0;h. All the pigs were given 4&#xa0;mg/kg b.w. of avilamycin by oral administration. At different time points (0, 1, 2, 3, 4, 5, 6, 8, 10, 12, 24, 36, and 48&#xa0;h), the plasma was collected from the anterior cava, and the ileal content was collected into tubes from the T-shape ileal cannula at the same time. The samples were divided into two aliquots on ice and stored at &#x2212;20&#xb0;C for subsequent PK-PD studies.</p>
</sec>
<sec id="s2-5-4">
<title>2.5.4 <italic>Ex Vivo</italic> Pharmacodynamics of Avilamycin Against <italic>C. perfringens</italic> HS42</title>
<p>The <italic>ex vivo</italic> time-kill curves were determined using the ileal content samples obtained from the pigs at different time points after oral administration of 4&#xa0;mg/kg b.w. avilamycin.</p>
</sec>
<sec id="s2-5-5">
<title>2.5.5 Pharmacokinetics&#x2013;Pharmacodynamics Integration Analysis</title>
<p>The concentration&#x2013;time data for avilamycin were analyzed for individual pigs by non-compartmental analysis (WinNonlin; Pharsight Corporation, Mountain View, CA, United&#x20;States) using the statistical moment approach. The inhibitory sigmoid E<sub>max</sub> model was used to determine the PD target under different efficiencies [E &#x3d; 0, &#x2212;3, and &#x2212;4 (bacteriostasis, bactericidal, and eradication, respectively)]. The model equation is as follows:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi>E</mml:mi>
<mml:mn>0</mml:mn>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>P</mml:mi>
<mml:msub>
<mml:mi>D</mml:mi>
<mml:mrow>
<mml:mi>max</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#x22c5;</mml:mo>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
</mml:mrow>
<mml:mrow>
<mml:msup>
<mml:mi>C</mml:mi>
<mml:mi>N</mml:mi>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>E</mml:mi>
<mml:msubsup>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mn>50</mml:mn>
</mml:mrow>
<mml:mi>N</mml:mi>
</mml:msubsup>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:math>
</disp-formula>where E is the summary of PD endpoint and E<sub>0</sub> is the effect representing the value of the PD endpoint without drug treatment (i.e.,&#x20;the value of the summary endpoint when the PK-PD index is 0). EC<sub>50</sub> represents (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> which produces 50% of the maximum antibacterial effect (PD<sub>max</sub>), C represents the (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> ratio, N represents the Hill coefficient, and <italic>PD</italic>
<sub>max</sub> is the maximum effect (in relation to E0) indicated by the plateau where increased exposures result in no further&#x20;kill.</p>
</sec>
<sec id="s2-5-6">
<title>2.5.6 Monte Carlo Simulation and Pharmacokinetics&#x2013;Pharmacodynamics Cutoff Value Analysis</title>
<p>Crystal Ball v7.2.2 was used to perform Monte Carlo simulation. The distribution of PK parameter AUC<sub>0&#x2013;24h</sub> was assumed to be log-normal. A total of 10,000 subjects were simulated (<xref ref-type="bibr" rid="B6">Andes et&#x20;al., 2004</xref>). The bactericidal effect was selected as a PD target to calculate the probability of target attainment (PTA). The CO<sub>PD</sub> was defined as the MIC at which the PTA was &#x2265;90%.</p>
</sec>
</sec>
<sec id="s2-6">
<title>2.6 Doses Estimation</title>
<p>Assuming PK linearity, the predicted daily doses were calculated by the dose equation (<xref ref-type="bibr" rid="B48">Toutain et&#x20;al., 2002</xref>) as follows:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:mi mathvariant="normal">D</mml:mi>
<mml:mi mathvariant="normal">o</mml:mi>
<mml:mi mathvariant="normal">s</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mrow>
<mml:mrow>
<mml:mo>(</mml:mo>
<mml:mrow>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">U</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mrow>
<mml:mn>0</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>24</mml:mn>
<mml:mi mathvariant="normal">h</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mo>)</mml:mo>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">e</mml:mi>
<mml:mi mathvariant="normal">x</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mi mathvariant="normal">I</mml:mi>
<mml:mi mathvariant="normal">C</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">f</mml:mi>
<mml:mi mathvariant="normal">u</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mi mathvariant="normal">L</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>CL/F represents the clearance scaled by bioavailability in ileal content, (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> is the targeted endpoint for optimal efficacy in 24&#xa0;h, MIC is the target pathogen, and fu is the proportion of free drugs in ileal content calculated by equilibrium dialysis.</p>
<p>The balance dialysis method was used to measure the binding rate of avilamycin to the contents of the porcine ileum, and the binding rate was converted into the free drug ratio. The dialysis bag containing blank ileal contents was suspended in dialysate with different drug concentrations and placed at 4&#xb0;C for dialysis until equilibrium was reached. After the end of dialysis, the samples were taken from inside and outside of the dialysis bag and the drug concentration was determined. The binding rate was calculated based on the concentration. The binding rate &#x3d; (Dt &#x2212; Df)/Dt &#xd7; 100%, where Dt is the drug concentration in the dialysis bag and Df is the liquid drug concentration outside the dialysis&#x20;bag.</p>
<p>According to the formula of mixed feeding: <inline-formula id="inf1">
<mml:math id="m3">
<mml:mrow>
<mml:mi>D</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>s</mml:mi>
<mml:mi>e</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>d</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>t</mml:mi>
<mml:mo>/</mml:mo>
<mml:mi>W</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> to decide the group dosage. Where d is the oral dose (mg/kg b.w.), W is the feed intake per 1&#xa0;kg body weight of pigs for per 24&#xa0;h, t is the number of oral administration of drugs within 24&#xa0;h. W was not the same considering the difference in individual animals. For the piglets, the daily intake (24&#xa0;h) accounts for 4&#x2013;6% of their body weight (an average of 5%), i.e.,&#x20;50&#xa0;g per day per 1&#xa0;kg of body weight.</p>
<p>The calculated dose, PK parameters, and PD parameters were brought into the Mlxplore software to simulate and predict the growth of bacteria under three doses (preventive dose, therapeutic dose, and eradication dose) and different administration intervals to obtain the best dosing schedule and dosing interval.</p>
</sec>
<sec id="s2-7">
<title>2.7 Determination of Clinical Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<sec id="s2-7-1">
<title>2.7.1 Clinical Efficacy by Different Minimum Inhibitory Concentrations</title>
<p>About 66 experimental piglets (15&#x20;&#xb1; 2&#xa0;kg) were divided into 11 groups. Each group had six pigs. The type A <italic>C. perfringens</italic>, HG4 (0.015&#xa0;&#x3bc;g/ml), HN10 (0.06&#xa0;&#x3bc;g/ml), HS42 (0.25&#xa0;&#x3bc;g/ml), HS72 (2&#xa0;&#x3bc;g/ml), and HH101 (8&#xa0;&#x3bc;g/ml) strains, which have &#x3b2;2 toxin and were chosen by the mouse virulence test, were used to conduct the clinical infected experiment. One group was the blank control group. Five groups were infected with five strains as the negative control groups. Five groups challenged with the five strains were the experimental groups. The negative control groups were infected without administration, the experimental groups were infected by administration, and the administration dose and interval were performed in accordance with the therapeutic administration dose established by the PK-PD&#x20;study.</p>
</sec>
<sec id="s2-7-2">
<title>2.7.2 Statistical Analysis</title>
<p>Three analytical methods were used, including &#x201c;Window&#x201d; approach, CART, and nonlinear regression analysis, to define the relationship between MIC and possibility of cure (POC) and determine the&#x20;CO<sub>CL</sub>.</p>
<p>The &#x201c;Window&#x201d; approach was calculated by CAR and MaxDiff, the cutoff value was between the CAR and MaxDiff when using the &#x201c;Window&#x201d; methods (<xref ref-type="bibr" rid="B52">Turnidge et&#x20;al., 2017</xref>). CART was directly simulated by the Salford Predictive Modeler software; the MICs were used as a predictor and the clinical treatment outcomes were the target variable. The NRA was simulated by SPSS software; Log<sub>2</sub>MICs were the independent variable and the POCs were the dependent variable.</p>
</sec>
</sec>
<sec id="s2-8">
<title>2.8 Established Clinical Breakpoint</title>
<p>Three cutoff values were analyzed comprehensively using the decision tree proposed by CLSI document M37-A3 to decide the CBP (<xref ref-type="bibr" rid="B11">CLSI 2007a</xref>). When CO<sub>WT</sub> &#x3d; CO<sub>CL</sub>, CBP is CO<sub>WT</sub> and CO<sub>CL</sub>; when CO<sub>WT</sub> &#x3e; CO<sub>CL</sub>, if CO<sub>PD</sub> is the smallest, CBP is CO<sub>CL</sub>, otherwise CBP is CO<sub>WT</sub>; when CO<sub>WT</sub> &#x3c; CO<sub>CL</sub>, if CO<sub>PD</sub> is the smallest, CBP is CO<sub>WT</sub>, otherwise CBP is&#x20;CO<sub>CL</sub>.</p>
</sec>
</sec>
<sec id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1&#x20;Wild-Type Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<p>The MIC distributions of avilamycin against the 120 clinical strains with diarrhea of <italic>C. perfringens</italic> type A is shown in <xref ref-type="fig" rid="F1">Figure&#x20;1</xref>. The MIC values ranged from 0.015 to 256&#xa0;&#x3bc;g/ml. The corresponding MIC<sub>50</sub> and MIC<sub>90</sub> were 0.06 and 128&#xa0;&#x3bc;g/ml, respectively, suggesting that avilamycin displayed a potent antibacterial effect against anaerobic <italic>C. perfringens</italic>. The MIC distributions were brought into the ECOFFinder software, the cumulative distributions were calculated, and the cumulative distributions were fitted with nonlinear regression, the optimal fitting range was MIC &#x2264;8&#xa0;&#x3bc;g/ml. The calculated parameter values are shown in <xref ref-type="table" rid="T2">Table&#x20;2</xref>. The upper limit of the MIC distributions of <italic>C. perfringens</italic> in the 95% confidence interval was 0.25&#xa0;&#x3bc;g/ml, defined as the&#x20;CO<sub>WT</sub>.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>The minimum inhibitory concentration (MIC) distribution of avilamycin against 120 strains of <italic>Clostridium perfringens</italic> and nonlinear regression.</p>
</caption>
<graphic xlink:href="fphar-13-769539-g001.tif"/>
</fig>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>ECOFFinder analysis for avilamycin against <italic>Clostridium perfringens</italic>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameters</th>
<th align="center">Value</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Selected Subset</td>
<td align="center">&#x2264;8&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">Modal MIC</td>
<td align="center">0.0625&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">Log<sub>2</sub>MIC Mode</td>
<td align="center">&#x2212;4</td>
</tr>
<tr>
<td align="left">Max Log<sub>2</sub>MIC</td>
<td align="center">8</td>
</tr>
<tr>
<td align="left">Selected Log<sub>2</sub> Mean</td>
<td align="center">&#x2212;4</td>
</tr>
<tr>
<td align="left">Selected Log<sub>2</sub> SD</td>
<td align="center">1</td>
</tr>
<tr>
<td align="left">95.0% Subset ECOFFs</td>
<td align="center">0.25&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">97.5% Subset ECOFFs</td>
<td align="center">0.25&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">99.0% Subset ECOFFs</td>
<td align="center">0.5&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">99.5% Subset ECOFFs</td>
<td align="center">0.5&#xa0;&#x3bc;g/ml</td>
</tr>
<tr>
<td align="left">99.9% Subset ECOFFs</td>
<td align="center">1&#xa0;&#x3bc;g/ml</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MIC, minimum inhibitory concentration.</p>
</fn>
<fn>
<p>Note: Selected Subset was the optimal fitting range by nonlinear regression; Modal MIC was the most widely distributed MIC.</p>
</fn>
</table-wrap-foot>
</table-wrap>
</sec>
<sec id="s3-2">
<title>3.2 Pharmacokinetics&#x2013;Pharmacodynamics Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<sec id="s3-2-1">
<title>3.2.1 Pharmacodynamics Study of <italic>C. perfringens</italic> HS42&#x20;<italic>In Vitro</italic> and <italic>Ex Vivo</italic>
</title>
<p>The MIC of HS42 was 0.25&#xa0;&#x3bc;g/ml both in FT and ileal content, which indicated that the <italic>ex vivo</italic> antibacterial activity of avilamycin was the same as that <italic>in&#x20;vitro</italic>. <italic>In vitro</italic> and <italic>ex vivo</italic> time-kill curves of the varying concentrations of avilamycin against HS42 are shown in <xref ref-type="fig" rid="F2">Figure&#x20;2</xref>. For <italic>in&#x20;vitro</italic> time-kill curves (<xref ref-type="fig" rid="F2">Figure&#x20;2A</xref>), avilamycin can exert better bactericidal effect (&#x2265;2 MIC); all bacterium were eradicated without recovery growth and the bactericidal effect was enhanced with the increase of drug concentrations. According to <italic>ex vivo</italic> time-kill curves (<xref ref-type="fig" rid="F2">Figure&#x20;2B</xref>), the ileal content concentrations from 4 to 24&#xa0;h could eradicate bacterium completely. The curves were characteristically typical for concentration-dependent antibiotic activity both <italic>in&#x20;vitro</italic> and <italic>ex vivo</italic>. The PK-PD index (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> was selected to perform Monte Carlo simulation.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>
<bold>(A,B)</bold> The killing curves of avilamycin against <italic>Clostridium perfringens in&#x20;vitro</italic> and <italic>ex&#x20;vivo</italic>.</p>
</caption>
<graphic xlink:href="fphar-13-769539-g002.tif"/>
</fig>
</sec>
<sec id="s3-2-2">
<title>3.2.2 Pharmacokinetics&#x2013;Pharmacodynamics Integration Analysis</title>
<p>The concentrations of avilamycin in the plasma and ileal content were greatly different. The drug concentrations in the plasma were below the LOD, indicating that the amount of avilamycin absorbed into the blood is very small, which is suitable for the treatment of gastrointestinal diseases. The drug concentrations in the ileal content are shown in <xref ref-type="fig" rid="F3">Figure&#x20;3</xref>. The integrated PK parameters derived from the non-compartmental analysis of ileal content for avilamycin after oral administration at a dose of 4&#xa0;mg/kg b.w. are shown in <xref ref-type="table" rid="T3">Table&#x20;3</xref>. The AUC<sub>0&#x2013;24h</sub> was 428.62&#x20;&#xb1; 14.23&#xa0;h&#xa0;&#x3bc;g/mL, C<sub>max</sub> was 146.30&#x20;&#xb1; 13.41&#xa0;&#x3bc;g/ml, and T<sub>max</sub> was 4&#xa0;h. The PK study results showed that the concentration of avilamycin in the digestive tract after oral administration was higher than in the plasma, but it was released and eliminated faster in the ileal contents.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Mean concentration versus time curves for avilamycin in ileal content after oral administration at a dose of 4&#xa0;mg/kg b.w. (<italic>n</italic>&#x20;&#x3d; 6).</p>
</caption>
<graphic xlink:href="fphar-13-769539-g003.tif"/>
</fig>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Integrated PK parameters for avilamycin in ileal content after oral administration at a dose of 4&#xa0;mg/kg b.w. (<italic>n</italic>&#x20;&#x3d; 6).</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameters</th>
<th align="center">Units</th>
<th align="center">Values</th>
<th align="center">SD</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">T<sub>1/2&#x3bb;</sub>
</td>
<td align="left">h</td>
<td align="char" char=".">3.27</td>
<td align="char" char=".">1.08</td>
</tr>
<tr>
<td align="left">C<sub>max</sub>
</td>
<td align="left">&#x3bc;g/mL</td>
<td align="char" char=".">146.30</td>
<td align="char" char=".">13.41</td>
</tr>
<tr>
<td align="left">T<sub>max</sub>
</td>
<td align="left">h</td>
<td align="char" char=".">4</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">AUC<sub>0&#x2013;24h</sub>
</td>
<td align="left">H &#x3bc;g/mL</td>
<td align="char" char=".">428.62</td>
<td align="char" char=".">14.23</td>
</tr>
<tr>
<td align="left">AUMC<sub>0&#x2013;24h</sub>
</td>
<td align="left">h<sup>2</sup> &#x3bc;g/mL</td>
<td align="char" char=".">2596.87</td>
<td align="char" char=".">151.83</td>
</tr>
<tr>
<td align="left">MRT<sub>0&#x2013;24h</sub>
</td>
<td align="left">H</td>
<td align="char" char=".">5.25</td>
<td align="char" char=".">0.38</td>
</tr>
<tr>
<td align="left">CL/F</td>
<td align="left">L/h/kg</td>
<td align="char" char=".">0.01</td>
<td align="char" char=".">0.0003</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>PK, pharmacokinetics; SD, standard deviation; C<sub>max</sub>, maximum concentration; T<sub>max</sub>, time of maximum concentration; T<sub>1/2&#x3bb;z</sub>, elimination half-life; AUC<sub>0&#x2013;24h</sub>, area under the concentration curve; AUMC<sub>0&#x2013;24h</sub>, first-order area under the concentration curve; MRT<sub>0&#x2013;24h</sub>, mean residence time; CL/F, body clearance scaled by bioavailability.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The ileal content samples of 0, 2, 3, 4, 5, 6, 8, 10, 12, and 24&#xa0;h after the oral administration were used to determine the <italic>ex vivo</italic> antibacterial activity of avilamycin against HS42. <xref ref-type="table" rid="T4">Table&#x20;4</xref> shows the <italic>ex vivo</italic> concentrations and antibacterial effect obtained from the killing curves. The results showed that the PK-PD index (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> reached higher ranges in maintaining antimicrobial efficacy. The relationship between the antimicrobial efficacy and <italic>ex vivo</italic> (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> ratios was simulated by the inhibitory Sigmoid E<sub>max</sub> equation, and the result is shown in <xref ref-type="table" rid="T5">Table&#x20;5</xref>. The values of (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> at E &#x3d; 0, &#x2212;3, and &#x2212;4 (bacteriostasis, bactericidal, and eradication) were 21.60, 36.15, and 53.24, respectively.</p>
<table-wrap id="T4" position="float">
<label>TABLE 4</label>
<caption>
<p>
<italic>Ex vivo</italic> concentration, (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub>, and antibacterial effect obtained from the killing curves.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Time (h)</th>
<th align="center">C<sub>ex</sub>
<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</th>
<th align="center">(AUC0-24&#xa0;h/MIC)ex<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</th>
<th align="center">Count 0&#xa0;h (log10&#xa0;CFU/mL)<xref ref-type="table-fn" rid="Tfn3">
<sup>c</sup>
</xref>
</th>
<th align="center">Count 24&#xa0;h (log10&#xa0;CFU/mL)<xref ref-type="table-fn" rid="Tfn4">
<sup>d</sup>
</xref>
</th>
<th align="center">E (log10&#xa0;CFU/mL)<xref ref-type="table-fn" rid="Tfn5">
<sup>e</sup>
</xref>
</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">0</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">7.91</td>
<td align="char" char=".">2.54</td>
</tr>
<tr>
<td align="left">2</td>
<td align="char" char=".">0.11</td>
<td align="char" char=".">10.56</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">7.64</td>
<td align="char" char=".">2.27</td>
</tr>
<tr>
<td align="left">3</td>
<td align="char" char=".">0.37</td>
<td align="char" char=".">35.52</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">2.45</td>
<td align="char" char=".">&#x2212;2.92</td>
</tr>
<tr>
<td align="left">4</td>
<td align="char" char=".">146.30</td>
<td align="char" char=".">14,044.80</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">5</td>
<td align="char" char=".">108.32</td>
<td align="char" char=".">10,398.72</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">6</td>
<td align="char" char=".">54.25</td>
<td align="char" char=".">5208.00</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">8</td>
<td align="char" char=".">18.07</td>
<td align="char" char=".">1734.72</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">10</td>
<td align="char" char=".">12.94</td>
<td align="char" char=".">1242.24</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">12</td>
<td align="char" char=".">3.45</td>
<td align="char" char=".">331.20</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">24</td>
<td align="char" char=".">0.99</td>
<td align="char" char=".">95.04</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">1</td>
<td align="char" char=".">&#x2212;4.37</td>
</tr>
<tr>
<td align="left">36</td>
<td align="char" char=".">0.21</td>
<td align="char" char=".">20.16</td>
<td align="char" char=".">5.37</td>
<td align="char" char=".">2.58</td>
<td align="char" char=".">&#x2212;2.79</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn id="Tfn1">
<label>a</label>
<p>Drug concentrations at different&#x20;times.</p>
</fn>
<fn id="Tfn2">
<label>b</label>
<p>
<italic>Ex vivo</italic> PK&#x2013;PD indexes at different&#x20;times.</p>
</fn>
<fn id="Tfn3">
<label>c</label>
<p>Initial bacterial colonies incubated with different drug concentrations.</p>
</fn>
<fn id="Tfn4">
<label>d</label>
<p>Terminal bacterial colonies incubated with different drug concentrations after 24&#xa0;h.</p>
</fn>
<fn id="Tfn5">
<label>e</label>
<p>Difference of antibacterial logarithm of ileal content samples incubated with the drug (d &#x2212; c).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="T5" position="float">
<label>TABLE 5</label>
<caption>
<p>
<italic>Ex vivo</italic> pharmacodynamic parameters of avilamycin against <italic>Clostridium perfringens</italic>.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Parameters</th>
<th align="center">Units</th>
<th align="center">Values</th>
<th align="center">SD</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">E<sub>0</sub>
</td>
<td align="left">Log<sub>10</sub>&#xa0;CFU/mL</td>
<td align="char" char=".">2.53</td>
<td align="char" char=".">0.02</td>
</tr>
<tr>
<td align="left">EC<sub>50</sub>
</td>
<td align="left">h</td>
<td align="char" char=".">24.99</td>
<td align="char" char=".">0.21</td>
</tr>
<tr>
<td align="left">PD<sub>max</sub>
</td>
<td align="left">Log<sub>10</sub>&#xa0;CFU/mL</td>
<td align="char" char=".">6.91</td>
<td align="char" char=".">0.01</td>
</tr>
<tr>
<td align="left">Slope (N)</td>
<td align="left">&#x2014;</td>
<td align="char" char=".">3.76</td>
<td align="char" char=".">0.08</td>
</tr>
<tr>
<td align="left">(AUC<sub>0-24h</sub>/MIC)<sub>ex</sub> for bacteriostatic action (<italic>E</italic>&#x20;&#x3d;0)</td>
<td align="left">h</td>
<td align="char" char=".">21.60</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">(AUC<sub>0-24h</sub>/MIC)<sub>ex</sub> for bactericidal action (<italic>E</italic>&#x20;&#x3d;&#x2212;3)</td>
<td align="left">h</td>
<td align="char" char=".">36.15</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="left">(AUC<sub>0-24h</sub>/MIC)<sub>ex</sub> for bacterial eradication action (<italic>E</italic>&#x20;&#x3d;&#x2212;4)</td>
<td align="left">h</td>
<td align="char" char=".">53.24</td>
<td align="center">&#x2014;</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec id="s3-2-3">
<title>3.2.3 Monte Carlo Simulation and Pharmacokinetics&#x2013;Pharmacodynamics Cutoff Value Determination</title>
<p>Based on AUC<sub>0&#x2013;24h</sub> data of 428.62&#xa0;h&#xa0;g/mL and standard deviation of 14.23, Monte Carlo simulation was performed using Crystal Ball 7 software and AUC<sub>0&#x2013;24h</sub> of 10,000 pigs were generated by simulation. The PK-PD target (AUC<sub>0&#x2013;24h</sub>/MIC)<sub>ex</sub> for Monte Carlo simulation was 21.60, 36.15, and 53.24&#xa0;h which attained inhibition, sterilization, and eradication effect.</p>
<p>The PTA of avilamycin against <italic>C. perfringens</italic> under different antibacterial target was calculated based on the computation. For bacteriostatic action (E &#x3d; 0), the PTA was 100% when the MIC was 8&#xa0;&#x3bc;g/ml, while it was 0% when the MIC was 32&#xa0;&#x3bc;g/ml. For bactericidal action (E &#x3d; &#x2212;3), the PTA &#x2265; 90% could be obtained for isolates with 8&#x20;&#x2264; MIC &#x3c;16&#xa0;&#x3bc;g/ml. For bacterial eradication action (E &#x3d; &#x2212;4), the PTA was calculated to be 56.59% at the MIC value of 8&#xa0;&#x3bc;g/ml, but 100% at the MIC value of 4&#xa0;&#x3bc;g/ml. The PTA was dependent on the MICs and PK-PD target. The larger the target values, the smaller the MIC required to achieve 90% compliance rate (<xref ref-type="fig" rid="F4">Figure&#x20;4</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>The probability of target attainment (%) of attaining [AUC<sub>0&#x2013;24h</sub>/minimum inhibitory concentration (MIC)] ex ratio values by Monte Carlo simulation.</p>
</caption>
<graphic xlink:href="fphar-13-769539-g004.tif"/>
</fig>
<p>In this study, the PK-PD target of 36.15&#xa0;h, which attained bactericidal activity when E &#x3d; &#x2212;3, was selected to determine the CO<sub>PD</sub>. Therefore, the CO<sub>PD</sub> of avilamycin against swine <italic>C. perfringens</italic> was defined as MIC of 8&#xa0;&#x3bc;g/ml, representing the bactericidal effects.</p>
</sec>
</sec>
<sec id="s3-3">
<title>3.3 Dose Regimen</title>
<p>The binding rate of avilamycin in the ileal contents of pigs was 0.35, measured by the equilibrium dialysis method, and the free drug ratio (fu) of avilamycin in the ileal contents of pigs was 0.65. The doses required to achieve different antibacterial effects of avilamycin could be calculated by substituting the PK-PD index values into the dose equation. The preventive doses, therapeutic doses, and eradication doses of avilamycin mixed feeding were calculated to be 3.6, 5.2, and 8.8&#xa0;mg/kg, respectively. The corresponding calculated preventive doses, therapeutic doses, and eradication doses were 0.09, 0.13, and 0.22&#xa0;mg/kg, respectively. MlxPlore software was used to predict <italic>C. perfringens</italic> at different doses and dosing intervals (<xref ref-type="fig" rid="F5">Figure&#x20;5</xref>). The results show that when daily doses are given at 12&#xa0;h intervals, the expected effect can be achieved.</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>Model predictions of the growth of <italic>Clostridium perfringens</italic> at different doses regimens. Note: The left image shows the 12-h interval, and the right image shows the 24-h interval.</p>
</caption>
<graphic xlink:href="fphar-13-769539-g005.tif"/>
</fig>
</sec>
<sec id="s3-4">
<title>3.4 Clinical Cutoff Value for Avilamycin Against <italic>C. perfringens</italic>
</title>
<p>The number of dead animals, recovered animals, and cured animals were counted during the treatment trial. <xref ref-type="table" rid="T6">Table&#x20;6</xref> shows the data on the mortality rate, effective rate, and cure rate of each group. When the MIC was 0.06&#xa0;&#x3bc;g/ml, the POC was 100%, and when the MIC was 0.25&#xa0;&#x3bc;g/ml, the POC was 83.33%. Therefore, the range of CO<sub>CL</sub> should be 0.06&#x2013;0.25&#xa0;&#x3bc;g/ml when the POC attained&#x20;90%.</p>
<table-wrap id="T6" position="float">
<label>TABLE 6</label>
<caption>
<p>Probability of curve (POC) of avilamycin against <italic>Clostridium perfringens</italic> at different MICs.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Group</th>
<th align="center">Strains (MIC)</th>
<th align="center">Numbers</th>
<th align="center">Number of dead animals</th>
<th align="center">Dead rate</th>
<th align="center">Effective rate</th>
<th align="center">POC</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">Blank</td>
<td align="center">&#x2014;</td>
<td align="center">6</td>
<td align="center">0</td>
<td align="char" char=".">0</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td rowspan="5" align="left">Negative control</td>
<td align="center">0.015&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">1</td>
<td align="char" char=".">16.67%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">0.06&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">1</td>
<td align="char" char=".">16.67%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">0.25&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">1</td>
<td align="char" char=".">16.67%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">2&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">2</td>
<td align="char" char=".">33.33%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td align="center">8&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">3</td>
<td align="char" char=".">50%</td>
<td align="center">&#x2014;</td>
<td align="center">&#x2014;</td>
</tr>
<tr>
<td rowspan="5" align="left">Treatment group</td>
<td align="center">0.015&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">0</td>
<td align="char" char=".">0</td>
<td align="center">100%</td>
<td align="center">100%</td>
</tr>
<tr>
<td align="center">0.06&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">0</td>
<td align="char" char=".">0</td>
<td align="center">100%</td>
<td align="center">100%</td>
</tr>
<tr>
<td align="center">0.25&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">1</td>
<td align="char" char=".">16.67%</td>
<td align="center">83.33%</td>
<td align="center">83.33%</td>
</tr>
<tr>
<td align="center">2&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">1</td>
<td align="char" char=".">16.67%</td>
<td align="center">83.33%</td>
<td align="center">83.33%</td>
</tr>
<tr>
<td align="center">8&#xa0;&#x3bc;g/ml</td>
<td align="center">6</td>
<td align="center">2</td>
<td align="char" char=".">33.33%</td>
<td align="center">66.67%</td>
<td align="center">50%</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MIC, minimum inhibitory concentration.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Firstly, the CAR (AUC<sub>succ</sub>/AUC<sub>total</sub>) and MaxDiff calculation results are shown in <xref ref-type="table" rid="T7">Table&#x20;7</xref>. CAR could not be set at the lowest MIC or the highest MIC. If the CAR was increased with the MIC, If the CAR was increased with the MIC, then the second smallest CAR should be chosen as the final CAR. Based on this principle, the parameters MaxDiff and CAR were 0.22 and 0.85, respectively. The selection window of CO<sub>CL</sub> was 0.06&#x2013;2&#xa0;&#x3bc;g/ml.</p>
<table-wrap id="T7" position="float">
<label>TABLE 7</label>
<caption>
<p>Window of differing MaxDiff and CAR values.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">MIC</th>
<th align="center">Cure success</th>
<th align="center">Numbers</th>
<th align="center">%Success &#x2264; MIC</th>
<th align="center">%Success&#x20;&#x3e;&#x20;MIC</th>
<th align="center">MaxDiff</th>
<th align="center">AUC<sub>Succ</sub>
</th>
<th align="center">AUC<sub>Total</sub>
</th>
<th align="center">CAR</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">0.015</td>
<td align="center">6</td>
<td align="center">6</td>
<td align="char" char=".">1</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">0.14</td>
<td align="char" char=".">0.045</td>
<td align="char" char=".">0.045</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="left">0.06</td>
<td align="center">6</td>
<td align="center">6</td>
<td align="char" char=".">1</td>
<td align="char" char=".">0.78</td>
<td align="char" char=".">0.22</td>
<td align="char" char=".">0.32</td>
<td align="char" char=".">0.32</td>
<td align="char" char=".">1</td>
</tr>
<tr>
<td align="left">0.25</td>
<td align="center">5</td>
<td align="center">6</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">0.75</td>
<td align="char" char=".">0.08</td>
<td align="char" char=".">1.41</td>
<td align="char" char=".">1.51</td>
<td align="char" char=".">0.93</td>
</tr>
<tr>
<td align="left">2</td>
<td align="center">5</td>
<td align="center">6</td>
<td align="char" char=".">0.83</td>
<td align="char" char=".">0.67</td>
<td align="char" char=".">0.16</td>
<td align="char" char=".">10.53</td>
<td align="char" char=".">12.38</td>
<td align="char" char=".">0.85</td>
</tr>
<tr>
<td align="left">8</td>
<td align="center">4</td>
<td align="center">6</td>
<td align="char" char=".">0.67</td>
<td align="char" char=".">0.67</td>
<td align="char" char=".">0</td>
<td align="char" char=".">39.31</td>
<td align="char" char=".">50.26</td>
<td align="char" char=".">0.78</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>MIC, minimum inhibitory concentration.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Secondly, the NRA model with the highest coefficient (cubic) to simulate the corresponding model expression was <italic>y</italic>&#x20;&#x3d; 83.771&#x2013;3.542x&#x2212;4.24x<sup>2</sup>&#x2212;0.054x<sup>3</sup> (R &#x3d; 0.94). According to the simulation expression, when POC was 90%, the Log<sub>2</sub>MIC was &#x2212;2.17, and the equivalent MIC was 0.22&#xa0;&#x3bc;g/ml. Thus, the recommended CO<sub>CL</sub> was 0.06&#x2013;0.22&#xa0;&#x3bc;g/ml.</p>
<p>Finally, the data of the clinical trial (POC and MIC distributions) were brought into the Salford Predictive Modeler software for CART analysis. A regression tree was obtained as shown in <xref ref-type="fig" rid="F6">Figure&#x20;6</xref>. From the regression tree, it could be seen that when MIC &#x2264;0.16&#xa0;&#x3bc;g/ml, the POC was 100%. When the MIC &#x3e;0.16&#xa0;&#x3bc;g/ml, the POC was 86.7%. When the POC equals to 90%, the MIC should be greater than 0.16&#xa0;&#x3bc;g/ml but less than 0.25&#xa0;&#x3bc;g/ml. Combined with the distributions, we chose the MIC nearing 0.22 and 0.16&#xa0;&#x3bc;g/mL as the CO<sub>CL</sub>. Thus, the CO<sub>CL</sub> for avilamycin against <italic>C. perfringens</italic> was 0.125&#xa0;&#x3bc;g/ml.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>CART tree showing values of clinical outcome.</p>
</caption>
<graphic xlink:href="fphar-13-769539-g006.tif"/>
</fig>
</sec>
<sec id="s3-5">
<title>3.5 Established Clinical Breakpoint</title>
<p>To sum up, the CO<sub>WT</sub> was 0.25&#xa0;&#x3bc;g/ml, the CO<sub>PD</sub> was 8&#xa0;&#x3bc;g/ml, and the CO<sub>CL</sub> was 0.125&#xa0;&#x3bc;g/ml. These three cutoffs were brought into the decision tree developed by the CLSI and were consistent with CO<sub>PD</sub> &#x3e; CO<sub>WT</sub> &#x3e; CO<sub>CL</sub>. Therefore, the CBP of avilamycin against <italic>C. perfringens</italic> was 0.25&#xa0;&#x3bc;g/ml.</p>
</sec>
</sec>
<sec id="s4">
<title>4 Discussion</title>
<p>
<italic>C. perfringens</italic> is an environmental bacterium existing in the breeding industry and responsible for enteric disease with focal necrosis in the intestine. Also, it is a pathogen to public health through the food chain (<xref ref-type="bibr" rid="B44">Silva et&#x20;al., 2009</xref>). Because of the antibacterial used for growth promotion or to prevent pathogenic effects of <italic>C. perfringens</italic>, extensive microorganism susceptibility researches have been conducted. Several studies showed that the <italic>C. perfringens</italic> antibiotic resistance was high to penicillin, bacitracin, tetracycline, and lincomycin (<xref ref-type="bibr" rid="B2">Akhi et&#x20;al., 2015</xref>). But the oligosaccharide antimicrobial agent, avilamycin, has shown excellent activity against <italic>C. perfringens</italic>. The MICs of 30&#x20;<italic>C. perfringens</italic> isolates for avilamycin were tested in the local poultry industry, and the concentrations ranged from 4 to 512&#xa0;&#x3bc;g/ml (<xref ref-type="bibr" rid="B41">Redondo et&#x20;al., 2015</xref>). The MICs of avilamycin for 50&#x20;<italic>C. perfringens</italic> type A strains isolated from 1- to 7-day-old piglets, with or without diarrhea, ranged from 1 to 256&#xa0;&#x3bc;g/ml, and the MIC with the highest number of strains was concentrated in 4&#xa0;&#x3bc;g/ml (<xref ref-type="bibr" rid="B43">Salvarani et&#x20;al., 2012</xref>).</p>
<p>In this study, the MIC distributions of avilamycin against the 120 clinical strains of <italic>C. perfringens</italic> ranged from 0.015 to 256&#xa0;&#x3bc;g/ml, which had a wide scope than former research. Fitting the reported MIC data with our MIC distributions together, we got the same conclusion that the CO<sub>WT</sub> was 0.25&#xa0;&#x3bc;g/ml. The low MIC value (0.015&#xa0;&#x3bc;g/ml) might be explained by regional disparities due to avilamycin not being popularly used in China. Meanwhile, the MIC distributions present a double peak, and there were a small number of resistant bacterium; the resistance mechanism of <italic>C. perfringens</italic> to avilamycin should be the focus and taken into account when establishing the CO<sub>WT</sub> in future studies (<xref ref-type="bibr" rid="B62">Zheng et&#x20;al., 2017</xref>). The mode of action of avilamycin is not well elaborated. It has been suggested that avilamycin acts by binding to the 30S part of the ribosome to inhibit bacterial protein synthesis (<xref ref-type="bibr" rid="B58">Wolf et&#x20;al., 1973</xref>). However, a recent study indicated that resistance to avilamycin is associated with variations in the ribosomal protein L16 and thereby probably interacts with the peptidyl transferase activity. Some research showed that avilamycin binds to the 50S subunit, resulting in decreased susceptibility to avilamycin in bacteria (<xref ref-type="bibr" rid="B31">Mcnicholas et&#x20;al., 2000</xref>).</p>
<p>We usually need to adopt certain statistical methods to define the CO<sub>WT</sub> by the NRA (<xref ref-type="bibr" rid="B19">Hao et&#x20;al., 2013</xref>; <xref ref-type="bibr" rid="B45">Smith et&#x20;al., 2014</xref>). Conventionally, the MIC values were logarithmically transformed, and the cumulative distributions were subjected to regression simulation. The gradient was added to each fitting from the smallest distributed MIC to the most distributed MIC. The fit was kept between the optimal range between the actual values and estimated values, with a 95% confidence interval. Then the probability was predicted above the upper limit and below the lower limit, respectively, with the CO<sub>WT</sub> as the upper limit of the wild-type distributions. In this experiment, the ECOFFinder program based on the NRA, was used to gradually replace and simplify the fitting process. We only needed to put the MIC distributions into the software to automatically fit and obtain&#x20;CO<sub>WT</sub>.</p>
<p>PK-PD explored the relationship between the PK parameters and bacterial inhibition or killing and even extended it to the clinical outcome (<xref ref-type="bibr" rid="B16">Drusano, 2004</xref>). Over the last 30&#xa0;years, a clear understanding of PK-PD on the many classes of antimicrobial agents had been researched, including the <italic>&#x3b2;</italic>-lactams, aminoglycosides, quinolones, macrolides, lincosamides, tetracyclines, and glycopeptides (<xref ref-type="bibr" rid="B5">Ambrose et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B52">Turnidge and Paterson 2007</xref>). In this study, we used healthy animals to establish the PK-PD model because the PK data were often generated in healthy representatives of the target species and the healthy animal model was more stable than the disease model, as well as showed better repeatability (<xref ref-type="bibr" rid="B11">CLSI 2007a</xref>). Furthermore, we suggest that the animal model can also be established in diseased animals at the same time and compared with healthy animal models if permitted.</p>
<p>The index T &#x3e; MIC was used for time-dependent antibacterial agents, but the indexes AUC<sub>0&#x2013;24h</sub>/MIC and C<sub>max</sub>/MIC were used for concentration-dependent antibacterial agents. The selected PK-PD index determined the PD parameter that best predicts efficacy in the animal model (<xref ref-type="bibr" rid="B24">Jr et&#x20;al., 2007</xref>). The human medicine, evernimicin, which belonged to the same class as avilamycin, had been used to evaluate the bactericidal and sterilizing efficacies. Evernimicin exhibited a concentration-dependent killing kinetics, as the ratio AUC0&#x2013;24h/MIC was the best index correlated with a reduction of bacterial count (<xref ref-type="bibr" rid="B17">Drusano et&#x20;al., 2001</xref>). The bacteriostatic characteristic of avilamycin against <italic>C. perfringens</italic> indicated concentration dependence too. Hence, the PK-PD index (AUC<sub>0&#x2013;24h</sub>/MIC) has been considered to calculate avilamycin <italic>ex vivo</italic> activity.</p>
<p>Most of the current studies on PK development have focused on the analysis of data in the plasma because these data are relatively stable and relatively easy to obtain. The concentrations of the drug at the target sites were generally estimated on the basis of the concentrations of the serum or plasma because the drug concentrations at the infection sites were largely correlated to the serum or plasma (<xref ref-type="bibr" rid="B13">Craig 1998</xref>; <xref ref-type="bibr" rid="B40">Ping et&#x20;al., 2002</xref>). In our study, the drug concentrations in the blood might not accurately reflect the drug concentrations of the target tissue. For some digestive tract drugs, the T-shape ileal method had been used in swine for a more accurate PK study of the drugs in the digestive tract which could provide the target animals with maintaining a normal physiological state. Furthermore, researchers had shown that the measurement of free drug concentrations was more important than the total drug concentrations for evaluating the antimicrobial activity (<xref ref-type="bibr" rid="B7">Andes et&#x20;al., 2002</xref>).</p>
<p>At present, the most common method for setting CO<sub>CL</sub> was to collect a large number of clinical cases (<xref ref-type="bibr" rid="B49">Toutain et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B28">Lee et&#x20;al., 2016</xref>), integrate the data, and finally use statistical analysis methods to obtain CO<sub>CL</sub>. Because of the limited clinical treatment of <italic>C. perfringens</italic> in pigs caused by avilamycin, the clinically challenged test had proceeded under laboratory conditions. The therapeutic dose adopted PK-PD recommended dosages which were linked to PK-PD with clinical treatment effect. The CO<sub>CL</sub> formula POC &#x3d; 1/[1 &#x2b; e-a&#x2b;bf (MIC)] proposed by EUCAST had not been applied in practice at present (<xref ref-type="bibr" rid="B50">Toutain et al., 2017</xref>). CO<sub>CL</sub> reflected the upper limit of the MIC values associated with a high likelihood of clinical success (when POC equals to 90%). Based on this principle, five different MICs nearing MIC<sub>50</sub>, MIC<sub>90</sub>, CO<sub>WT</sub>, sensitive, and resistant strains were selected for conducting the clinical treatments. Three statistical analysis methods, including the &#x201c;Window&#x201d; approach, NRA, and CART analysis, were used to analyze the results of the clinical trials (<xref ref-type="bibr" rid="B10">Bhat et&#x20;al., 2007</xref>; <xref ref-type="bibr" rid="B15">Cuesta et&#x20;al., 2009</xref>; <xref ref-type="bibr" rid="B14">Cuesta et&#x20;al., 2010</xref>; <xref ref-type="bibr" rid="B53">Turnidge and Martinez 2017</xref>), predicting the POC corresponding to the MIC distributions.</p>
<p>Comparing these three cutoff values, it was not difficult to find that the CO<sub>PD</sub> was much higher than CO<sub>WT</sub> and CO<sub>CL</sub>. Because the dose used in the PK-PD study was the recommended dose, which was a uniform dose for piglet diarrhea. <italic>C. perfringens</italic> was sensitive to avilamycin, and the drug was widely distributed in the digestive tract, leading to high AUC values and CO<sub>PD</sub>. Specially, when the CO<sub>WT</sub> equaled CO<sub>CL</sub>, the CO<sub>PD</sub> did not influence the final CBP. When the CO<sub>WT</sub> did not equal CO<sub>CL</sub>, the CO<sub>PD</sub> was used as a weighting factor, but the CBP would be established by the primary determinant CO<sub>WT</sub> or CO<sub>CL</sub> (<xref ref-type="bibr" rid="B11">CLSI 2007a</xref>). There was no clear methodology for establishing the CBP in veterinary medicine. In this study, we provided a train of thought and suggested that if there were obvious differences between CO<sub>CL</sub>, CO<sub>WT</sub>, and CO<sub>PD</sub>, the number of clinical samples should be expanded, and there is a need for expert subcommittee member deliberation on the relative weighting of these three cutoffs.</p>
</sec>
<sec id="s5">
<title>5 Conclusion</title>
<p>The rational use of antibiotics is becoming more and more important in veterinary clinics, and the abuse of antibiotics is the main reason for the development of bacterial resistance. After establishing three cutoff values in this study, the CBP of avilamycin against <italic>C. perfringens</italic> in swine was set to be 0.25&#xa0;&#x3bc;g/ml, which can easily and clearly distinguish drug-resistant bacteria. At the same time, the findings of this study established that the optimal dosage of avilamycin for the treatment of pigs with <italic>C. perfringens</italic> infection is 5.2&#xa0;mg/kg mixed feeding, and if the daily doses are given at 12&#xa0;h intervals, the expected effect can be achieved.</p>
</sec>
</body>
<back>
<sec id="s6">
<title>Data Availability Statement</title>
<p>The original contributions presented in the study are included in the article/Supplementary Material, and further inquiries can be directed to the corresponding author.</p>
</sec>
<sec id="s7">
<title>Ethics Statement</title>
<p>The animal study was reviewed and approved by the Animal Ethics Committee of Huazhong Agricultural University.</p>
</sec>
<sec id="s8">
<title>Author Contributions</title>
<p>AH, XL, ZY, and HH conceived and designed the experiments. AH, XL, ZX, and SF performed the experiments. AH, XL, ZX, and SF analyzed the data. LH, XW, SX, YP, ZL, ZY, and HH contributed reagents or materials or analysis tools. AH, XL, and HH wrote the manuscript. All authors contributed to the article and approved the submitted version.</p>
</sec>
<sec id="s9">
<title>Funding</title>
<p>This work was funded by grants from the National Key Research and Development program (No. 2021YFD1800600/2016YFD0501302/2017YFD0501406), the National Natural Science Foundation of China (No. 32172914/31772791), and the Fundamental Research Funds for the Central Universities (No. 2662018JC001).</p>
</sec>
<sec sec-type="COI-statement" id="s10">
<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="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>
<ack>
<p>The authors are very grateful to Jinhua Zhang from Jiangxi Agricultural University and to Wenjin Zhang and Changmin Hu from the College of Veterinary Medicine of Huazhong Agricultural University for their help and useful suggestions surrounding these experiments.</p>
</ack>
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