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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Pharmacol.</journal-id>
<journal-title>Frontiers in Pharmacology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Pharmacol.</abbrev-journal-title>
<issn pub-type="epub">1663-9812</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">1541131</article-id>
<article-id pub-id-type="doi">10.3389/fphar.2025.1541131</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>Pharmacokinetic and pharmacodynamic analyses of nafamostat in ECMO patients: comparing central vein and ECMO machine samples</article-title>
<alt-title alt-title-type="left-running-head">Lee 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.2025.1541131">10.3389/fphar.2025.1541131</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Lee</surname>
<given-names>Dong Hwan</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
</xref>
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<contrib contrib-type="author" equal-contrib="yes">
<name>
<surname>Lee</surname>
<given-names>Jae Ha</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="author-notes" rid="fn001">
<sup>&#x2020;</sup>
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<contrib contrib-type="author">
<name>
<surname>Jang</surname>
<given-names>Ji Hoon</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
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<contrib contrib-type="author">
<name>
<surname>Kim</surname>
<given-names>Yong Kyun</given-names>
</name>
<xref ref-type="aff" rid="aff3">
<sup>3</sup>
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<contrib contrib-type="author">
<name>
<surname>Kang</surname>
<given-names>Gaeun</given-names>
</name>
<xref ref-type="aff" rid="aff4">
<sup>4</sup>
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<contrib contrib-type="author">
<name>
<surname>Jung</surname>
<given-names>So Young</given-names>
</name>
<xref ref-type="aff" rid="aff5">
<sup>5</sup>
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<contrib contrib-type="author">
<name>
<surname>Her</surname>
<given-names>Minyoung</given-names>
</name>
<xref ref-type="aff" rid="aff6">
<sup>6</sup>
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<contrib contrib-type="author" corresp="yes">
<name>
<surname>Jang</surname>
<given-names>Hang Jea</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
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<aff id="aff1">
<sup>1</sup>
<institution>Department of Clinical Pharmacology</institution>, <institution>Hallym University Sacred Heart Hospital</institution>, <institution>Hallym University College of Medicine</institution>, <addr-line>Anyang</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Department of Internal Medicine</institution>, <institution>Inje University Haeundae Paik Hospital</institution>, <institution>Inje University College of Medicine</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff3">
<sup>3</sup>
<institution>Division of Infectious Diseases</institution>, <institution>Department of Internal Medicine</institution>, <institution>Hallym University Sacred Heart Hospital</institution>, <institution>Hallym University College of Medicine</institution>, <addr-line>Anyang</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff4">
<sup>4</sup>
<institution>Division of Clinical Pharmacology</institution>, <institution>Chonnam National University Hospital</institution>, <addr-line>Gwangju</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff5">
<sup>5</sup>
<institution>Department of Dermatology</institution>, <institution>Inje University Haeundae Paik Hospital</institution>, <institution>Inje University College of Medicine</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</country>
</aff>
<aff id="aff6">
<sup>6</sup>
<institution>Division of Rheumatology</institution>, <institution>Department of Internal Medicine</institution>, <institution>Inje University Haeundae Paik Hospital</institution>, <institution>Inje University College of Medicine</institution>, <addr-line>Busan</addr-line>, <country>Republic of Korea</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/266676/overview">Yurong Lai</ext-link>, Gilead, United States</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1388236/overview">Mwila Mulubwa</ext-link>, University of Cape Town, South Africa</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1966887/overview">Jongsung Hahn</ext-link>, Jeonbuk National University, Republic of Korea</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2970691/overview">Palak Phansalkar</ext-link>, ViiV Healthcare, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Hang Jea Jang, <email>okabango21@gmail.com</email>
</corresp>
<fn fn-type="equal" id="fn001">
<label>
<sup>&#x2020;</sup>
</label>
<p>These authors have contributed equally to this work</p>
</fn>
</author-notes>
<pub-date pub-type="epub">
<day>23</day>
<month>05</month>
<year>2025</year>
</pub-date>
<pub-date pub-type="collection">
<year>2025</year>
</pub-date>
<volume>16</volume>
<elocation-id>1541131</elocation-id>
<history>
<date date-type="received">
<day>24</day>
<month>01</month>
<year>2025</year>
</date>
<date date-type="accepted">
<day>15</day>
<month>05</month>
<year>2025</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2025 Lee, Lee, Jang, Kim, Kang, Jung, Her and Jang.</copyright-statement>
<copyright-year>2025</copyright-year>
<copyright-holder>Lee, Lee, Jang, Kim, Kang, Jung, Her and Jang</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<sec>
<title>Objectives</title>
<p>To better understand nafamostat mesylate (NM) dose requirements during extracorporeal membrane oxygenation (ECMO), this study investigated its pharmacokinetic/pharmacodynamic (PK/PD) properties by comparing samples from the systemic circulation of patients and from the ECMO circuit. It specifically examined the relationship between NM concentration and activated partial thromboplastin time (aPTT) changes, aiming to provide a foundation for future dosing optimization.</p>
</sec>
<sec>
<title>Methods</title>
<p>In this prospective study, 24 ECMO patients received a continuous infusion of NM through a dedicated stopcock located before the ECMO pump. This placement targets the anticoagulant effects of NM specifically to the ECMO circuit without substantially affecting the patient&#x2019;s overall coagulation status. The starting dose was 15&#xa0;mg/h, adjusted to keep the aPTT within a target range of 40&#x2013;80&#xa0;s. Blood samples were collected from both the patient&#x2019;s central venous catheter and the ECMO circuit for PK/PD analysis using a nonlinear mixed effects model.</p>
</sec>
<sec>
<title>Results</title>
<p>The PK profiles of NM, derived from samples taken from both the patient&#x2019;s catheter and the ECMO circuit, were best described by a two-compartment model. In the PK/PD models, the effect of NM on prolonging aPTT was described using a turnover model. NM was shown to inhibit the decrease in aPTT in the turnover model. In the patient model, the maximum inhibitory effect (Imax) of NM on the reduction of aPTT was 35.5%, and the concentration of NM required to achieve half of this maximum effect (IC50) was 350&#xa0;&#x3bc;g/L. On the other hand, in the ECMO model, the Imax for aPTT reduction was 43.6%, with an IC50 of 581&#xa0;&#x3bc;g/L.</p>
</sec>
<sec>
<title>Conclusion</title>
<p>The PK/PD models developed from samples collected from both the patient and the ECMO circuit indicate significant differences in PD. Given the observed variability and the high risk of bleeding in ECMO patients, a predictive model incorporating these differences and patient-specific variables could significantly improve anticoagulation management.</p>
</sec>
</abstract>
<kwd-group>
<kwd>nafamostat mesylate</kwd>
<kwd>extracorporeal membrane oxygenation</kwd>
<kwd>pharmacokinetics</kwd>
<kwd>pharmacodynamics</kwd>
<kwd>nonlinear mixed effect model</kwd>
<kwd>turnover model</kwd>
<kwd>activated partial thromboplastin time</kwd>
<kwd>Monte Carlo simulation</kwd>
</kwd-group>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Drug Metabolism and Transport</meta-value>
</custom-meta>
</custom-meta-wrap>
</article-meta>
</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Extracorporeal membrane oxygenation (ECMO) is a life-support technique used in critical care medicine to provide temporary support to the lungs and heart of patients with severe respiratory or cardiac failure (<xref ref-type="bibr" rid="B36">Murphy et al., 2015</xref>). Veno-venous (VV) ECMO provides both oxygenation and carbon dioxide removal by draining deoxygenated blood from a vein, oxygenating it externally, and returning it to the patient&#x2019;s circulation through another vein. Veno-arterial (VA) ECMO, on the other hand, supports both oxygenation and cardiac output by draining deoxygenated blood from a vein and returning oxygenated blood to the patient&#x2019;s circulation through an artery (<xref ref-type="bibr" rid="B2">Abrams et al., 2014</xref>; <xref ref-type="bibr" rid="B19">Gajkowski et al., 2022</xref>). The use of ECMO has increased rapidly in recent years due to advances in machinery and the increasing demand. The Extracorporeal Life Support Organization (ELSO) is a non-profit organization founded in 1989 and has been registering patient data on the use and outcomes of ECMO ever since. By 1 July 2016, a total of 78,387 patients had been registered, increasing to 196,108 by 2022 (<xref ref-type="bibr" rid="B48">Thiagarajan et al., 2017</xref>; <xref ref-type="bibr" rid="B15">Extracorporeal Life Support Organization, 2023</xref>). In 2021, during the height of the coronavirus disease 2019 (COVID-19) pandemic, a total of 21,895 patients were enrolled across 591 centers.</p>
<p>Anticoagulation therapy is a crucial requirement for patients undergoing ECMO due to their heightened risk of thrombotic complications from coagulation pathway activation and blood exposure to foreign surfaces during treatment (<xref ref-type="bibr" rid="B36">Murphy et al., 2015</xref>). Anticoagulants, including unfractionated heparin, argatroban, and bivalirudin, are utilized for antithrombotic therapy during ECMO. Therapeutic monitoring of these anticoagulants involves various parameters such as activated clotting time, activated partial thromboplastin time (aPTT), anti-factor Xa level, antithrombin level, and viscoelastic hemostatic assays (<xref ref-type="bibr" rid="B32">Levy et al., 2022</xref>; <xref ref-type="bibr" rid="B34">McMichael et al., 2022</xref>). Ensuring effective antithrombotic therapy to prevent thrombotic events while minimizing the risk of bleeding poses a significant clinical challenge (<xref ref-type="bibr" rid="B7">Cavayas et al., 2018</xref>; <xref ref-type="bibr" rid="B38">Nguyen et al., 2022</xref>). ELSO registry data from 2010 to 2017 were analyzed in a study, revealing that 3,044 (40.2%) of 7,570 adult patients undergoing VV-ECMO experienced bleeding or thrombus-related complications. Among these cases, 37% (1,127) had only bleeding events, 41.7% (1,270) had only thrombotic events, and 21.2% (647) experienced both (<xref ref-type="bibr" rid="B39">Nunez et al., 2022</xref>). Another analysis of the same registry showed that among 11,984 adult patients on VA-ECMO, 8,457 adverse events related to hemocompatibility were observed. Of these events, 62.1% (5,252) were classified as bleeding events, while 37.9% (3,205) were categorized as thrombotic events (<xref ref-type="bibr" rid="B10">Chung et al., 2020</xref>).</p>
<p>Unfractionated heparin (UFH) is widely used as the primary anticoagulant during ECMO or continuous renal replacement therapy (CRRT), given its reliable anticoagulation efficacy and extensive clinical experience (<xref ref-type="bibr" rid="B53">Zarbock et al., 2020</xref>; <xref ref-type="bibr" rid="B41">Sadeghipour et al., 2021</xref>). Nevertheless, clinical management with UFH remains challenging due to potential adverse effects such as heparin-induced thrombocytopenia, thrombotic complications, bleeding, and heparin resistance, each of which complicates patient management and necessitates careful monitoring and timely intervention. Consequently, clinicians have sought alternative anticoagulants, especially for patients prone to bleeding or those unable to tolerate UFH.</p>
<p>Nafamostat mesylate (NM) is a serine protease inhibitor used as an anticoagulant for ECMO or CRRT in the Republic of Korea, Japan, and China (<xref ref-type="bibr" rid="B22">Han et al., 2011</xref>; <xref ref-type="bibr" rid="B3">Baek et al., 2012</xref>; <xref ref-type="bibr" rid="B9">Choi et al., 2015</xref>; <xref ref-type="bibr" rid="B24">Kamijo et al., 2020</xref>; <xref ref-type="bibr" rid="B30">Lee et al., 2022</xref>). NM possesses a markedly short systemic half-life of approximately 8&#xa0;min (<xref ref-type="bibr" rid="B35">Morikawa et al., 1983</xref>) and primarily exerts its anticoagulant activity within the ECMO circuit rather than in the systemic circulation. This pharmacokinetic (PK) profile allows targeted anticoagulation within the extracorporeal system, potentially reducing systemic bleeding risks compared to UFH, which has a significantly longer half-life of about 60&#xa0;min and produces systemic anticoagulation effects. Previous clinical observations indicated that NM might lower the requirements for transfusions and reduce bleeding-related complications while maintaining similar anticoagulant efficacy as UFH within the ECMO circuit (<xref ref-type="bibr" rid="B27">Kotani et al., 2002</xref>; <xref ref-type="bibr" rid="B22">Han et al., 2011</xref>; <xref ref-type="bibr" rid="B21">Han et al., 2018</xref>). Furthermore, NM&#x2019;s unique profile permits clinicians to selectively minimize systemic anticoagulation, and some studies have suggested that combination therapy using NM alongside low-dose UFH could prevent ECMO circuit thrombosis effectively (<xref ref-type="bibr" rid="B52">Yamagishi et al., 2004</xref>; <xref ref-type="bibr" rid="B13">Doi et al., 2020</xref>). These promising aspects of NM spurred broader evaluations of its impact on clinical outcomes like bleeding, thrombosis, and filter lifespan. A systematic review of 11 retrospective studies on patients receiving NM during ECMO revealed contrasting outcomes regarding bleeding and thrombotic events (<xref ref-type="bibr" rid="B42">Sanfilippo et al., 2022</xref>). Similarly, a retrospective study involving 243 patients on CRRT demonstrated that NM infusion at a rate of 10&#xa0;mg/h effectively prolonged filter lifespan in high-risk bleeding patients without increasing the need for RBC transfusions or causing significant bleeding events (<xref ref-type="bibr" rid="B3">Baek et al., 2012</xref>). Furthermore, a prospective study involving 55 patients receiving CRRT in a high-risk bleeding state found that, among them, 31 patients received NM (NM group), while 24 did not receive anticoagulant therapy (NA group) (<xref ref-type="bibr" rid="B9">Choi et al., 2015</xref>). The NM group showed a significantly longer filter lifespan of 31.7 &#xb1; 24.1&#xa0;days compared to the NA group, which had a filter lifespan of 19.5 &#xb1; 14.9&#xa0;days (p &#x3d; 0.035), while there were no differences observed between the two groups in terms of transfusion frequency and occurrence of bleeding events.</p>
<p>While NM is used for regional anticoagulation during ECMO and CRRT, a notable research gap exists regarding its detailed PK and pharmacodynamics (PD) in this setting. This gap hinders the development of evidence-based dosing strategies informed by PK/PD principles. The aim of this study is to develop PK/PD models using samples from both ECMO circuits and central venous catheters in ECMO patients treated with NM. This involves investigating the relationship between NM concentrations and changes in aPTT. Monitoring aPTT in patients is crucial for minimizing risks of bleeding and preventing thrombosis, while in the ECMO circuit, it specifically aids in preventing thrombus formation. This dual monitoring approach underscores the importance of precise aPTT management in optimizing therapeutic outcomes for ECMO patients.</p>
</sec>
<sec sec-type="materials|methods" id="s2">
<title>2 Materials and methods</title>
<sec id="s2-1">
<title>2.1 Patients</title>
<p>This prospective clinical study was conducted at Haeundae Paik Hospital, Busan, Republic of Korea, from July 2021 to October 2022. Patients older than 18 years, admitted to the intensive care unit, and receiving NM while on VV- or VA-ECMO for respiratory and/or cardiac dysfunction were eligible to participate. The ECMO system was the Permanent Life Support System (MAQUET, Rastatt, Germany). It consisted of a PLS-i oxygenator with a Bioline coating and a ROTAFLOW centrifugal pump (RF-32). The circuit was primed with 1&#xa0;L of normal saline or plasma solution. The total volume of the circuit was between 500&#xa0;mL and 600&#xa0;mL.</p>
</sec>
<sec id="s2-2">
<title>2.2 Nafamostat dosing and sampling</title>
<p>NM (SK Chemicals Life Science, Seongnam, Korea; licensed by Toril Pharma, Tokyo, Japan) was continuously infused through a dedicated stopcock installed in the drainage pathway upstream of the ECMO pump. NM was started at 15&#xa0;mg/h without bolus injection. The maintenance dose of NM was adjusted to achieve an aPTT range of 40&#x2013;80&#xa0;s. To measure the concentration of the drug, blood samples were obtained from the patient and from the ECMO circuit. Patient samples were collected from the patient&#x2019;s central venous catheter, while ECMO samples were collected from the route through which oxygenated blood was infused back into the patient&#x2019;s bloodstream from the ECMO oxygenator. Planned sampling times for PK model development were just before drug administration and at 3, 6, 30, 120, 300, and 480&#xa0;min after the start of continuous infusion. Sampling time points were selected based on the two-compartment kinetics of NM, aiming to capture both the distribution and elimination phases. Due to clinical constraints, sampling began at the start of infusion, and time points were optimized using parameter sensitivity analysis. The total sampling duration of 6&#xa0;h was intended to adequately capture the elimination phase, corresponding to approximately 3&#x2013;6 times the elimination half-life (t<sub>1/2&#x3b2;</sub>), which has been reported to range from 23.1 to 120&#xa0;min. Reported distribution half-lives (t<sub>1/2&#x3b1;</sub>) range from 1 to 4&#xa0;min (<xref ref-type="bibr" rid="B1">Abe et al., 1984</xref>; <xref ref-type="bibr" rid="B6">Cao et al., 2008</xref>). For PD modelling, aPTT values measured immediately before dosing and at 240 and 480&#xa0;min were used.</p>
</sec>
<sec id="s2-3">
<title>2.3 Nafamostat assay</title>
<p>NM plasma concentrations were analyzed using a liquid chromatography (LC)-tandem mass spectrometry (MS/MS) assay. The HPLC system consisted of an LC-20A system (Shimadzu, Kyoto, Japan), Kinetex XB-C18 (2.6&#xa0;&#x3bc;m, 100 &#xd7; 3.0&#xa0;mm) analytical column, and Gemini C18 (4.0 &#xd7; 2.0&#xa0;mm) guard cartridge (Phenomenex, Torrance, CA, United States). The mobile phase consisted of A (0.1% formic acid in water) and B (0.1% formic acid in acetonitrile). The gradient run was used at a flow rate of 0.3&#xa0;mL/min with an initial 10% B, which increased to 40% B until 0.1&#xa0;min and held constant until 1.1&#xa0;min. B was then decreased back to 10% until 1.2&#xa0;min. The run time was 5&#xa0;min. SCIEX Analyst software (version 1.6.3) was used for data integration. MS detection was performed using a quadrupole mass spectrometer (API4000 QTRAP system; SCIEX, Framingham, MA, United States). The analytes were detected in positive ion mode in electrospray ionization (ESI) and by Multiple Reaction Monitoring (MRM) scan mode. The MRM was carried out at m/z 174.7/166.3 for NM and 172.2/137.2 for gabapentin (IS). NM and gabapentin were purchased from Sigma-Aldrich (St. Louis, MO, United States). The standard solution of NM (1,000&#xa0;mg/L) was prepared by dissolving NM in deionized water and gabapentin (1,000&#xa0;mg/L) was prepared by dissolving it in methanol. Calibration standards (0.5&#x2013;500&#xa0;&#x3bc;g/L) were prepared by mixing 90&#xa0;&#x3bc;L of blank human plasma with 10&#xa0;&#x3bc;L of working solution (ten-fold target concentration in 50% methanol). To prepare all samples, including calibration standards, 100&#xa0;&#x3bc;L of each plasma sample was mixed with 10&#xa0;&#x3bc;L of internal standard solution (gabapentin at 100&#xa0;&#x3bc;g/L in 50% methanol). Subsequently, 400&#xa0;&#x3bc;L of methanol was added to precipitate proteins. The mixture was then vortexed for 1&#xa0;min. After centrifugation at 13,400 rcf at 4&#xb0;C for 2&#xa0;min, the supernatant was transferred to the vial of an autoinjector and diluted 2 twofold with 20&#xa0;mM ammonium acetate. Then, 5&#xa0;&#x3bc;L of the diluted supernatant was injected into the LC-MS/MS system. From the obtained chromatogram, the ratio of the peak area of NM to that of the internal standard was calculated, and the concentration of NM in plasma was calculated.</p>
</sec>
<sec id="s2-4">
<title>2.4 Modeling and simulation</title>
<p>Nonlinear mixed effects modelling software (NONMEM<sup>&#xae;</sup>, version 7.5, ICON Clinical Research LLC, North Wales, PA, United States) was used for population PK/PD analysis. First-order conditional estimation with interaction (FOCEI) was used to estimate the fixed and random effect parameters. FOCEI allows interaction between the inter-individual variability (IIV) of the PK/PD parameters and the residual unexplained variability (RUV) of the measured observations. RUV can be by measurement error, model misspecification, or physiological variability.</p>
<p>For PK modelling, ADVAN1 TRANS2 and ADVAN3 TRANS4 from the NONMEM library were used to develop one- and two-compartment models, respectively. To describe the exposure-response relationship of NM over time, two kinds of models were tested: one in which NM has a direct effect on aPTT and the other in which NM affects the turnover process of aPTT. To develop the PK/PD models, the individual PK parameters were estimated using maximum <italic>a posteriori</italic> Bayesian estimation using the final PK model and were then added to the dataset. This ensured that the PK parameters were fixed and only the PD parameters were estimated during the development of the PK/PD model. Among the NONMEM libraries, ADVAN1 TRANS2 or ADVAN3 TRANS4 were used for PK modelling, and ADVAN6 TRANS1 was used for turnover process modelling. The PK/PD parameter was defined as &#x3b8;<sub>i</sub> &#x3d; &#x3b8; &#xd7; exp (&#x3b7;<sub>i</sub>), where &#x3b8; is the typical value of the PK or PD parameter, &#x3b8;<sub>i</sub> the individual parameter, and &#x3b7;<sub>i</sub> the random variable associated with IIV, which was assumed to have a normal distribution with a mean of 0 and a variance of &#x3c9;<sup>2</sup>. For the RUV, three types of error models were evaluated to best fit the data: an additive error model, a proportional error model, and a combined additive and proportional error model. Each model assumes that the residuals have a normal distribution with a mean of 0 and a variance of &#x3c3;<sup>2</sup>. The evaluation and selection of the models were based on NONMEM objective function values (OFVs), precision of parameter estimates (relative standard errors), and diagnostic goodness-of-fit plots. In a log-likelihood ratio test, a reduction in OFV (&#x394;OFV) greater than 3.84 between two nested models with one degree of freedom, or greater than 5.99 with two degrees of freedom, was considered a significant model improvement. Diagnostic plots used for evaluation included conditional weighted residuals (CWRES) versus time, CWRES versus population predictions (PRED), measured concentrations versus PRED, and measured concentrations versus individual predictions (IPRED). The Perl-speaks-NONMEM software (version 5.3.1, available at <ext-link ext-link-type="uri" xlink:href="https://uupharmacometrics.github.io/PsN/">https://uupharmacometrics.github.io/PsN/</ext-link>) was used to search for significant covariates and to evaluate the final model using a prediction-corrected visual predictive check (pcVPC) and nonparametric bootstrap method. Stepwise forward selection and backward elimination were used to identify significant covariates for PK/PD parameters, with statistical significance set at p &#x3c; 0.01 (&#x394;OFV &#x3c; &#x2212;6.63 with 1 degree of freedom) for selection and p &#x3c; 0.001 (&#x394;OFV &#x3c;10.8 with 1 degree of freedom) for elimination. A covariate was considered significant if it met both the clinical relevance and the statistical significance criteria. Demographic, pathophysiological, and clinical characteristics of the patients as well as ECMO device characteristics were used in the covariate analysis. The tested demographic factors comprised gender, age, weight, and height. The pathophysiological factors included in the analysis were serum albumin level, serum protein level, serum total bilirubin level, serum creatinine level, serum c-reactive protein level, and blood urea nitrogen level. The clinical factors analyzed included primary diagnosis, presence of shock, presence of hypertension, presence of diabetes, length of stay in the intensive care unit, and duration of mechanical ventilation. The analyzed features of ECMO consisted of the duration of application, ECMO type, gas flow rate, pump speed, blood flow rate, and fraction of inspired oxygen. To evaluate the predictive performance of the model, pcVPC were conducted by comparing the 10th, 50th, and 90th percentiles of 1,000 virtual datasets generated from the final PK/PD model with the observed concentrations. The median and 95% confidence intervals for the PK/PD parameter estimates from bootstrap samples (n &#x3d; 2,000) were generated to assess the stability and reliability of the model parameter estimates.</p>
<p>The exposure-response relationship of NM infusion rate was investigated through Monte Carlo simulations using the final patient and ECMO models. NONMEM was utilized for simulations, employing the final PK/PD parameter estimates, which included typical values, IIV, and RUV. These simulations generated NM concentrations and corresponding aPTT levels at 1-min intervals for a virtual cohort of 2,000 patients. The simulations encompassed infusion rates ranging from 10&#xa0;mg/h to 50&#xa0;mg/h, with 10&#xa0;mg/h increments, and the infusions lasted for a duration of 6&#xa0;h.</p>
</sec>
</sec>
<sec sec-type="results" id="s3">
<title>3 Results</title>
<sec id="s3-1">
<title>3.1 Patients</title>
<p>A total of 24 patients were prospectively enrolled in this study (<xref ref-type="table" rid="T1">Table 1</xref>). The primary diseases were pneumonia (n &#x3d; 10), cardiogenic shock and ventricular fibrillation (n &#x3d; 4), interstitial lung disease (n &#x3d; 1), pulmonary thromboembolism (n &#x3d; 1), aortic dissection (n &#x3d; 1), gastro-intestinal infection (n &#x3d; 3), and trauma (n &#x3d; 4). Regarding types of ECMO employed, VA-ECMO was used in 54% of patients (n &#x3d; 13) and VV-ECMO was used in 46% of patients (n &#x3d; 11). <xref ref-type="fig" rid="F1">Figures 1</xref>, <xref ref-type="fig" rid="F2">2</xref> present the individual concentration&#x2013;time and aPTT&#x2013;time profiles, respectively, for each patient included in the study. Two patients (patients 1 and 14, 8.3%) experienced hemoptysis before the initiation of ECMO. After ECMO initiation, bleeding events were observed in six patients (25%): patient 5 (ECMO cannulation site), patient 7 (cannulation site and gastrointestinal bleeding), patient 8 (cannulation site and hemoptysis), patient 16 (cannulation site), and patients 18 and 20 (both hemoptysis). All bleeding events were classified as mild to moderate in severity. No patient required blood transfusion or developed bleeding-related shock. In <xref ref-type="fig" rid="F1">Figure 1</xref>, which displays NM concentration profiles, the systemic and ECMO circuit concentrations in these patients did not deviate markedly from the rest of the cohort. For example, patients 7 and 8, despite experiencing two-site bleeding, had ECMO concentrations peaking around 150&#x2013;250&#xa0;&#x3bc;g/L and patient plasma concentrations around 200&#xa0;&#x3bc;g/L. Patient 16, who had only mild cannulation site bleeding, maintained systemic concentrations below 100&#xa0;&#x3bc;g/L throughout. In <xref ref-type="fig" rid="F2">Figure 2</xref>, which shows aPTT profiles, systemic aPTT values in bleeding patients mostly ranged from 40 to 60&#xa0;s, similar to patients without bleeding. No bleeding patient exhibited excessive systemic aPTT prolongation.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>Patient characteristics.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left">Characteristic</th>
<th align="left">Mean (SD) or No.</th>
<th align="left">Median (IQR)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="3" align="left">Demographic characteristics</td>
</tr>
<tr>
<td align="left">Sex, no.</td>
<td align="left">Male 17/Female 7</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Age, yr</td>
<td align="left">60.3 (12.1)</td>
<td align="left">61 (57.8&#x2013;67.5)</td>
</tr>
<tr>
<td align="left">Height, cm</td>
<td align="left">167 (8.77)</td>
<td align="left">169 (160&#x2013;174)</td>
</tr>
<tr>
<td align="left">Weight, kg</td>
<td align="left">70.3 (15.7)</td>
<td align="left">68.2 (62.9&#x2013;76.8)</td>
</tr>
<tr>
<td colspan="3" align="left">Clinical characteristics</td>
</tr>
<tr>
<td align="left">ICU duration, day</td>
<td align="left">44.5 (62.2)</td>
<td align="left">22 (12&#x2013;40)</td>
</tr>
<tr>
<td align="left">MV duration, day</td>
<td align="left">40.8 (56.1)</td>
<td align="left">17 (11&#x2013;39.5)</td>
</tr>
<tr>
<td align="left">Shock</td>
<td align="left">Yes 13/No 11</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Hypertension</td>
<td align="left">Yes 10/No 14</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Diabetes</td>
<td align="left">Yes 11/No 13</td>
<td align="left"/>
</tr>
<tr>
<td align="left">CRRT</td>
<td align="left">Yes 7/No 17</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Survived</td>
<td align="left">Yes 11/No 13</td>
<td align="left"/>
</tr>
<tr>
<td colspan="3" align="left">ECMO characteristics</td>
</tr>
<tr>
<td align="left">Type</td>
<td align="left">VA 13/VV 11</td>
<td align="left"/>
</tr>
<tr>
<td align="left">Duration, day</td>
<td align="left">552 (848)</td>
<td align="left">186 (105&#x2013;630)</td>
</tr>
<tr>
<td align="left">FiO<sub>2</sub>, mmHg</td>
<td align="left">0.683 (0.175)</td>
<td align="left">0.7 (0.575&#x2013;0.8)</td>
</tr>
<tr>
<td align="left">Gas flow rate, L/min</td>
<td align="left">4.31 (2.39)</td>
<td align="left">3.75 (2.5&#x2013;5.5)</td>
</tr>
<tr>
<td align="left">Pump speed, rotation/min</td>
<td align="left">2,608 (695)</td>
<td align="left">2,708 (1,975&#x2013;3,025)</td>
</tr>
<tr>
<td align="left">Fluid flow rate, L/min</td>
<td align="left">3.36 (1.35)</td>
<td align="left">3.37 (2.49&#x2013;4.37)</td>
</tr>
<tr>
<td colspan="3" align="left">Laboratory characteristics</td>
</tr>
<tr>
<td align="left">C-reactive protein, mg/dL</td>
<td align="left">12.2 (9.70)</td>
<td align="left">10.4 (5.1&#x2013;16)</td>
</tr>
<tr>
<td align="left">Creatinine clearance, mg/dL</td>
<td align="left">1.17 (0.87)</td>
<td align="left">0.95 (0.65&#x2013;1.29)</td>
</tr>
<tr>
<td align="left">Blood urea nitrogen, mg/dL</td>
<td align="left">30.2 (16.4)</td>
<td align="left">26.2 (20.9&#x2013;39.6)</td>
</tr>
<tr>
<td align="left">Serum albumin, mg/dL</td>
<td align="left">2.68 (0.410)</td>
<td align="left">2.6 (2.4&#x2013;3.03)</td>
</tr>
<tr>
<td align="left">Total bilirubin, mg/dL</td>
<td align="left">3.12 (5.62)</td>
<td align="left">1.25 (0.65&#x2013;3.35)</td>
</tr>
<tr>
<td align="left">Protein, g/dL</td>
<td align="left">5.10 (0.500)</td>
<td align="left">5.15 (4.85&#x2013;5.5)</td>
</tr>
<tr>
<td align="left">PT, s</td>
<td align="left">16.3 (3.00)</td>
<td align="left">16.2 (13.7&#x2013;17.7)</td>
</tr>
<tr>
<td align="left">INR</td>
<td align="left">1.45 (0.270)</td>
<td align="left">1.43 (1.22&#x2013;1.58)</td>
</tr>
<tr>
<td align="left">APTT, s</td>
<td align="left">50.7 (13.4)</td>
<td align="left">47.2 (42.8&#x2013;54.5)</td>
</tr>
<tr>
<td align="left">Platelet count (x10<sup>3</sup>/&#x3bc;L), no.</td>
<td align="left">67.3 (30.9)</td>
<td align="left">64.5 (40.3&#x2013;87.3)</td>
</tr>
<tr>
<td align="left">ABGA, mmol/L</td>
<td align="left">1.90 (0.930)</td>
<td align="left">1.7 (1.2&#x2013;2.4)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>ICU, intensive care unit; MV, mechanical ventilation; CRRT, continuous renal replacement therapy; ECMO, extracorporeal membrane oxygenator; FiO2, fractional inspired oxygen; PT, prothrombin time; INR, international normalized ratio; aPTT, activated partial thromboplastin time; ABGA, arterial blood gas analysis.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Individual fit plots for nafamostat pharmacokinetic models: comparison of observed (dot) and individual predicted (line) concentrations in patient and ECMO samples. Black dots represent the points at which nafamostat was administered along with the corresponding infusion rates.</p>
</caption>
<graphic xlink:href="fphar-16-1541131-g001.tif"/>
</fig>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Individual fit plots for nafamostat pharmacodynamic models: comparison of observed (dot) and individual predicted (line) activated partial thromboplastin time in patient and ECMO samples. Black dots represent the points at which nafamostat was administered along with the corresponding infusion rates.</p>
</caption>
<graphic xlink:href="fphar-16-1541131-g002.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Nafamostat assay</title>
<p>The lower limit of quantitation was 0.5&#xa0;&#x3bc;g/L. The precision and accuracy of the calibration standards were 1.92%&#x2013;12.58% and 89.20%&#x2013;105.17%, respectively, at concentrations of 0.5, 1, 2, 5, 10, 20, 50, 100, 200, and 500&#xa0;&#x3bc;g/L. The coefficient of determination indicating the linearity of the calibration curve over a range of 0.5&#x2013;500&#xa0;&#x3bc;g/L was greater than 0.99 for all three inter-day batches. In intra-day analysis of quality control samples, the precision was 3.87% at 2&#xa0;&#x3bc;g/L, 2.03% at 20&#xa0;&#x3bc;g/L, and 5.79% at 100&#xa0;&#x3bc;g/L. The accuracy was 105.17% at 2&#xa0;&#x3bc;g/L, 99.33% at 20&#xa0;&#x3bc;g/L, and 104.03% at 100&#xa0;&#x3bc;g/L. In inter-day analysis, the precision was 3.04% at 2&#xa0;&#x3bc;g/L, 3.56% at 20&#xa0;&#x3bc;g/L, and 1.33% at 100&#xa0;&#x3bc;g/L. The accuracy was 99.34% at 2&#xa0;&#x3bc;g/L, 96.67% at 20&#xa0;&#x3bc;g/L, and 101.44% at 100&#xa0;&#x3bc;g/L.</p>
</sec>
<sec id="s3-3">
<title>3.3 Modeling and simulation</title>
<p>A total of 162 patients&#x2019; central venous samples and 162 ECMO circuit samples were used to develop a population PK model for NM. The time-varying concentrations of both patient and ECMO samples were best described by the two-compartment models. The structural PK parameters for the two-compartment model were total clearance (CL), volume of distribution (Vd) for the central compartment (V1), Vd for the peripheral compartment (V2), and intercompartmental CL between V1 and V2 (Q), as indicated in <xref ref-type="table" rid="T2">Table 2</xref>. All four structural PK parameters of the patient model were estimated as larger than those of the ECMO model. In the individual fit plots (<xref ref-type="fig" rid="F1">Figure 1</xref>), the concentrations in the ECMO samples were mostly higher than the concentrations in the patient samples. In the patient model, the CL was 189&#xa0;L/h, and the steady-state volume of distribution (V<sub>SS</sub> &#x3d; V1 &#x2b; V2) was 62.01&#xa0;L. In the ECMO model, the CL was 85.2&#xa0;L/h, and the V<sub>SS</sub> was 40.63&#xa0;L (<xref ref-type="table" rid="T2">Table 2</xref>). In the patient model, the V2 was significantly influenced by the gas flow rate, whereas in the ECMO model, the CL was influenced by the gas flow rate. The final PK equation of V2 in patient model is described as follows:<disp-formula id="equ1">
<mml:math id="m1">
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mn>2</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>EXP</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
<mml:mrow>
<mml:mtext>Gas</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>flow</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>rate</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mi mathvariant="normal">V</mml:mi>
<mml:mn>2</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Gas&#x2009;flow&#x2009;rate&#x2009;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>3.75</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Parameter estimates and bootstrap medians (95% confidence intervals) for final pharmacokinetic models of nafamostat in patient and ECMO models.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Parameter</th>
<th colspan="3" align="center">Patient model</th>
<th colspan="3" align="center">ECMO model</th>
</tr>
<tr>
<th align="center">Estimate</th>
<th align="center">RSE (%)</th>
<th align="center">Bootstrapmedian (95% CI)</th>
<th align="center">Estimate</th>
<th align="center">RSE (%)</th>
<th align="center">Bootstrap median (95% CI)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="7" align="center">Structural model</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>CL</sub> (L/h)</td>
<td align="center">189</td>
<td align="center">14.9</td>
<td align="center">182 (137&#x2013;242)</td>
<td align="center">85.2</td>
<td align="center">7.82</td>
<td align="center">85.2 (73.1&#x2013;98.9)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Gas flow rate_CL</sub>
</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
<td align="center">0.0999</td>
<td align="center">16</td>
<td align="center">0.101 (0.0603&#x2013;0.139)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>V1</sub> (L)</td>
<td align="center">7.01</td>
<td align="center">42.5</td>
<td align="center">7.50 (1.53&#x2013;14.1)</td>
<td align="center">3.83</td>
<td align="center">17.9</td>
<td align="center">3.82 (2.68&#x2013;5.39)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Q</sub> (L/h)</td>
<td align="center">350<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">46.7</td>
<td align="center">46.9</td>
<td align="center">46.6 (19.5&#x2013;109)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>V2</sub> (L)</td>
<td align="center">55.0</td>
<td align="center">19.2</td>
<td align="center">54.0 (28.7&#x2013;114.3)</td>
<td align="center">36.8</td>
<td align="center">36.4</td>
<td align="center">35.2 (15.9&#x2013;59.6)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Gas flow rate_V2</sub>
</td>
<td align="center">&#x2212;0.852</td>
<td align="center">31.1</td>
<td align="center">&#x2212;0.902 (&#x2212;2.48&#x2013;0.4)</td>
<td align="left"/>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td colspan="7" align="center">Interindividual variability</td>
</tr>
<tr>
<td align="left">&#x3c9;<sub>CL</sub> (%)</td>
<td align="center">61.3</td>
<td align="center">13.0<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="center">58.2 (32.5&#x2013;73.7)</td>
<td align="center">29.5</td>
<td align="center">20.9<xref ref-type="table-fn" rid="Tfn2">
<sup>b</sup>
</xref>
</td>
<td align="center">27.8 (15.7&#x2013;40.1)</td>
</tr>
<tr>
<td align="left">&#x3c9;<sub>V1</sub> (%)</td>
<td align="center">69.5<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">62.8<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3c9;<sub>Q</sub> (%)</td>
<td align="center">243<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">134<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3c9;<sub>V2</sub> (%)</td>
<td align="center">49.2<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.000<xref ref-type="table-fn" rid="Tfn1">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td colspan="7" align="center">Residual unexplained variability</td>
</tr>
<tr>
<td align="left">&#x3c3;<sub>Proportional error</sub> (%)</td>
<td align="center">28.7</td>
<td align="center">13.2</td>
<td align="center">28.3 (21.3&#x2013;35.9)</td>
<td align="center">30.9</td>
<td align="center">12.8</td>
<td align="center">30.6 (23.3&#x2013;38.3)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>RSE, relative standard error; RSE (%) &#x3d; (standard error/parameter estimate) &#xd7; 100; CL, total clearance; V1, central volume of distribution; V2, peripheral volume of distribution; Q, intercompartmental clearance between V1 and V2.</p>
</fn>
<fn id="Tfn1">
<label>
<sup>a</sup>
</label>
<p>fixed.</p>
</fn>
<fn id="Tfn2">
<label>
<sup>b</sup>
</label>
<p>RSE (%) for standard deviation &#x3d; (standard error/variance estimate) &#xd7; 100/2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>The final PK equation of CL in ECMO model is described as follows:<disp-formula id="equ2">
<mml:math id="m2">
<mml:mrow>
<mml:mtext>CL</mml:mtext>
<mml:mo>&#x3d;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
<mml:mtext>CL</mml:mtext>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>EXP</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3b8;</mml:mi>
<mml:mrow>
<mml:mtext>Gas</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>flow</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>rate</mml:mtext>
<mml:mo>_</mml:mo>
<mml:mtext>CL</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mtext>Gas&#x2009;flow&#x2009;rate&#x2009;</mml:mtext>
<mml:mo>&#x2013;</mml:mo>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mn>3.75</mml:mn>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
</p>
<p>
<xref ref-type="sec" rid="s13">Supplementary Figure S1</xref> shows the diagnostic goodness-of-fit plots for the final PK model for patient and ECMO samples of NM. The majority of CWRES and observations were evenly distributed around the x-axis or the line of identity, which indicated that the final structural models were appropriate, and there was little bias in PK parameters. <xref ref-type="sec" rid="s13">Supplementary Figure S2</xref> displays pcVPC plots for patients and ECMO PK models. The final PK models effectively explained the observed concentrations and had good predictive performance, as the observed 10th, 50th, and 90th percentiles were mostly contained within the 95% confidence intervals of their corresponding simulated percentiles. These results suggest that the final PK models are reliable in predicting the PK parameters for NM in both patient and ECMO samples.</p>
<p>We developed population PD models using 95 plasma samples each from central veins and ECMO circuits, facilitating a comprehensive analysis of NM&#x2019;s PD. The relationship between exposure to NM and aPTT levels over time was well explained by the turnover model. The aPTT level in the absence of NM is expressed by the mechanistic turnover equation:<disp-formula id="equ3">
<mml:math id="m3">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>where Kin is a zero-order kinetic constant that describes the mechanism by which aPTT increases, and Kout is a first-order kinetic constant that describes the mechanism by which aPTT decreases. Since there is no change in aPTT in the absence of drug (i.e., daPTT/dt &#x3d; 0), baseline aPTT &#x3d; Kin/Kout. The drug-induced change in aPTT will return to baseline when the drug is withdrawn.</p>
<p>The mechanism by which the anticoagulant effect of NM increases aPTT has been well described by the following turnover model:<disp-formula id="equ4">
<mml:math id="m4">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>d</mml:mi>
<mml:mi>t</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#x3d;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi>i</mml:mi>
<mml:mi>n</mml:mi>
<mml:mo>&#x2212;</mml:mo>
<mml:mi>K</mml:mi>
<mml:mi>o</mml:mi>
<mml:mi>u</mml:mi>
<mml:mi>t</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="|">
<mml:mrow>
<mml:mn>1</mml:mn>
<mml:mo>&#x2212;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>m</mml:mi>
<mml:mi>a</mml:mi>
<mml:mi>x</mml:mi>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi>I</mml:mi>
<mml:mi>C</mml:mi>
<mml:mn>50</mml:mn>
<mml:mo>&#x2b;</mml:mo>
<mml:mi>C</mml:mi>
<mml:mi>p</mml:mi>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mi>a</mml:mi>
<mml:mi>P</mml:mi>
<mml:mi>T</mml:mi>
<mml:mi>T</mml:mi>
</mml:mrow>
</mml:math>
</disp-formula>where Imax represents the maximum inhibitory effect of NM, IC50 is the drug concentration that produces 50% of the Imax, and Cp is the plasma concentration of NM. No significant covariates were identified to have an impact on the PD parameters. The estimated PD parameters and the individual fit plots for the final PK/PD models for patient and ECMO models are shown in <xref ref-type="table" rid="T3">Table 3</xref> and <xref ref-type="fig" rid="F2">Figure 2</xref>, respectively. In the patient model, Imax was estimated to be 0.355 with an IC50 of 350&#xa0;&#x3bc;g/L, while that in the ECMO model was estimated to be 0.436 with an IC50 of 581&#xa0;&#x3bc;g/L.</p>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Parameter estimates and bootstrap medians (95% confidence intervals) for final pharmacodynamic models of nafamostat in patient and ECMO models.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="left">Parameter</th>
<th colspan="3" align="center">Patient model</th>
<th colspan="3" align="center">ECMO model</th>
</tr>
<tr>
<th align="center">Estimate</th>
<th align="center">RSE (%)</th>
<th align="center">Bootstrap median (95% CI)</th>
<th align="center">Estimate</th>
<th align="center">RSE (%)</th>
<th align="center">Bootstrap median (95% CI)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td colspan="7" align="center">Structural model</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Imax</sub>
</td>
<td align="center">0.355</td>
<td align="center">21.8</td>
<td align="center">0.356 (0.233&#x2013;0.608)</td>
<td align="center">0.436</td>
<td align="center">9.25</td>
<td align="center">0.436 (0.359&#x2013;0.518)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>IC50</sub> (&#x3bc;g/L)</td>
<td align="center">350<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">581<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Kin</sub> (s/h)</td>
<td align="center">47.5</td>
<td align="center">32.5</td>
<td align="center">49.7 (6.13&#x2013;158)</td>
<td align="center">50.6</td>
<td align="center">26.9</td>
<td align="center">49.3 (31.6&#x2013;107)</td>
</tr>
<tr>
<td align="left">&#x3b8;<sub>Base</sub> (s)</td>
<td align="center">34.5</td>
<td align="center">4.47</td>
<td align="center">34.5 (31.9&#x2013;37.8)</td>
<td align="center">33.0</td>
<td align="center">4.43</td>
<td align="center">32.9 (30.3&#x2013;36.1)</td>
</tr>
<tr>
<td colspan="7" align="center">Interindividual variability</td>
</tr>
<tr>
<td align="left">&#x3c9;<sub>Imax</sub> (%)</td>
<td align="center">50.7<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">27.3<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3c9;<sub>EC50</sub> (%)</td>
<td align="center">70.6<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
<td align="center">0.000<xref ref-type="table-fn" rid="Tfn3">
<sup>a</sup>
</xref>
</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3c9;<sub>Kin</sub> (%)</td>
<td align="center">105</td>
<td align="center">23.3<xref ref-type="table-fn" rid="Tfn4">
<sup>b</sup>
</xref>
</td>
<td align="center">88.5 (0.000&#x2013;161)</td>
<td align="center">75.8</td>
<td align="left"/>
<td align="left"/>
</tr>
<tr>
<td align="left">&#x3c9;<sub>Base</sub> (%)</td>
<td align="center">20.7</td>
<td align="center">13.2<xref ref-type="table-fn" rid="Tfn4">
<sup>b</sup>
</xref>
</td>
<td align="center">20.3 (13.5&#x2013;24.9)</td>
<td align="center">21.2</td>
<td align="center">16.4<xref ref-type="table-fn" rid="Tfn4">
<sup>b</sup>
</xref>
</td>
<td align="center">20.2 (12.9&#x2013;26.8)</td>
</tr>
<tr>
<td colspan="7" align="center">Residual unexplained variability</td>
</tr>
<tr>
<td align="left">&#x3c3;<sub>Additive error</sub> (s)</td>
<td align="center">2.83</td>
<td align="center">18.6</td>
<td align="center">2.76 (1.82&#x2013;3.91)</td>
<td align="center">3.43</td>
<td align="center">16.9</td>
<td align="center">3.34 (2.03&#x2013;4.41)</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>RSE, relative standard error; RSE (%) &#x3d; (standard error/parameter estimate) &#xd7; 100; Imax, maximum inhibitory effect; IC50, effective concentration of drug that causes 50% Imax; Kin, turnover rate; Base, baseline aPTT, level.</p>
</fn>
<fn id="Tfn3">
<label>
<sup>a</sup>
</label>
<p>fixed.</p>
</fn>
<fn id="Tfn4">
<label>
<sup>b</sup>
</label>
<p>RSE (%) for standard deviation &#x3d; (standard error/variance estimate) &#xd7; 100/2.</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>
<xref ref-type="sec" rid="s13">Supplementary Figure S3</xref> shows the diagnostic goodness-of-fit plots for the final PD model for patients and ECMO samples of NM. The majority of CWRES and observed concentrations were evenly distributed around the x-axis or the line of identity, indicating a good fit between the predicted and observed values. However, there is some underprediction for early samples and overprediction for late samples in the ECMO model, indicating that the model may have some limitations in accurately predicting aPTT in certain time points of some patients. <xref ref-type="sec" rid="s13">Supplementary Figure S4</xref> shows pcVPC plots for the patient and ECMO PD models. The observed 10th, 50th, and 90th percentiles were mostly within the 95% confidence intervals of the simulated 10th, 50th, and 90th percentiles, indicating that the final PD models effectively explained the observed aPTT values and had good predictive performance. These results suggest that the final PD models reliably predict PD responses in both patient and ECMO models.</p>
<p>For the final PK/PD models, the relationship between NM exposure and aPTT level is shown in <xref ref-type="fig" rid="F3">Figure 3</xref>. When NM was injected into the drainage pathway upstream of the ECMO pump at a rate of 30&#xa0;mg/h, the median steady-state concentration and aPTT were approximately 88&#xa0;&#x3bc;g/L and 39&#xa0;s, respectively, in the patient model and approximately 600&#xa0;&#x3bc;g/L and 43&#xa0;s, respectively, in the ECMO model.</p>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Temporal changes in median nafamostat concentration and activated partial thromboplastin time level: Insights from a simulated population of 2,000 virtual patients at various infusion rates (10, 20, 30, 40, and 50&#xa0;mg/h) using final patient and ECMO models.</p>
</caption>
<graphic xlink:href="fphar-16-1541131-g003.tif"/>
</fig>
</sec>
</sec>
<sec sec-type="discussion" id="s4">
<title>4 Discussion</title>
<p>Our previous study demonstrated the effectiveness and safety of NM as a regional anticoagulant in patients undergoing VA ECMO (<xref ref-type="bibr" rid="B30">Lee et al., 2022</xref>). We administered either NM or unfractionated heparin (UFH) and specifically compared the aPTT of blood samples obtained from the patient&#x2019;s central vein with blood samples drawn from the ECMO circuit. The results revealed no statistically significant difference between the median aPTT of the patient sample (72.84&#xa0;s) and the median aPTT of the ECMO sample (72.95&#xa0;s) when UFH was administered. However, upon switching to NM, a significant difference was observed. The median aPTT of the ECMO sample increased to 73.13&#xa0;s, while the median aPTT of the patient sample decreased to 68.42&#xa0;s, with a p-value of 0.031. Moreover, when addressing bleeding adverse events, we switched from UFH to NM, resulting in significant improvement in bleeding symptoms for four patients with cannulation site bleeding, one patient with gingival bleeding, and one patient with hematochezia. Based on our previous study, we recognized the necessity for a quantitative analysis of the PK and PD of NM to enhance our understanding of its administration in ECMO patients.</p>
<p>To the best of our knowledge, no clinical studies have yet developed population PK/PD models for NM in patients. We developed and compared two PK/PD models, one utilizing central venous samples from patients and the other utilizing samples from the ECMO circuit. The PK profiles of NM in both sample types were well described by two-compartment models. In our study, the patient model exhibited a t<sub>1/2&#x3b1;</sub> of 0.54&#xa0;min and a t<sub>1/2&#x3b2;</sub> of 19.7&#xa0;min. On the other hand, the ECMO model demonstrated a t<sub>1/2&#x3b1;</sub> of 1.2&#xa0;min and a t<sub>1/2&#x3b2;</sub> of 51.4&#xa0;min. These results were comparable to those of other studies in Asian populations. In a Phase 1 study conducted in Japan, the observed t<sub>1/2&#x3b1;</sub> and t<sub>1/2&#x3b2;</sub> were 1.1&#xa0;min and 23.1&#xa0;min, respectively (<xref ref-type="bibr" rid="B1">Abe et al., 1984</xref>). A study involving healthy adults in China reported t<sub>1/2&#x3b1;</sub> ranging from 3.65 to 3.78&#xa0;min and t<sub>1/2&#x3b2;</sub> ranging from 112.42 to 129.19&#xa0;min (<xref ref-type="bibr" rid="B6">Cao et al., 2008</xref>). However, a study conducted with dialysis patients revealed a half-life of 8&#xa0;min for NM (<xref ref-type="bibr" rid="B35">Morikawa et al., 1983</xref>). The advantage of remarkably short half-life of NM (approximately 8&#xa0;min), especially when compared to UFH (60&#x2013;90&#xa0;min), argatroban (45&#xa0;min), and bivalirudin (25&#xa0;min), has prompted multiple studies to affirm its suitability as an anticoagulant for ECMO or CRRT patients at increased risk of bleeding (<xref ref-type="bibr" rid="B3">Baek et al., 2012</xref>; <xref ref-type="bibr" rid="B31">Lee et al., 2014</xref>; <xref ref-type="bibr" rid="B40">Park et al., 2015</xref>; <xref ref-type="bibr" rid="B29">Lang et al., 2022</xref>; <xref ref-type="bibr" rid="B42">Sanfilippo et al., 2022</xref>). According to our two-compartment model, following completion of dosing, the concentration declines rapidly due to the extremely short t<sub>1/2&#x3b1;</sub>. As a result, even if t<sub>1/2&#x3b2;</sub> is prolonged, the concentration declines to very low levels during the elimination phase. However, the steady-state concentration achieved through continuous infusion may significantly differ from the steady-state concentration determined solely by a single half-life of 8&#xa0;min, depending on the interplay between t<sub>1/2&#x3b1;</sub> and t<sub>1/2&#x3b2;</sub>.</p>
<p>Our population PK analysis identified gas flow rate as a significant covariate influencing CL in the ECMO model and V2 in the patient model. Although a direct pharmacological interaction is unlikely, the interplay between ECMO circuit dynamics and patient hemodynamics may mediate this relationship. Gas flow rate governs CO<sub>2</sub> elimination from the ECMO circuit (<xref ref-type="bibr" rid="B44">Schmidt et al., 2013</xref>; <xref ref-type="bibr" rid="B47">Strassmann et al., 2019</xref>). Enhanced CO<sub>2</sub> clearance alleviates hypercapnia, which can alter hepatic perfusion, as suggested by studies showing hypercapnia affects liver blood flow (<xref ref-type="bibr" rid="B4">Barash et al., 2007</xref>; <xref ref-type="bibr" rid="B11">Cox et al., 2019</xref>). Consequently, improved hepatic blood flow could plausibly influence NM disposition, as the drug is metabolized by esterases in both the liver (carboxylesterase 2) and blood (<xref ref-type="bibr" rid="B37">Nakae and Tajimi, 2003</xref>). ECMO circuit dynamics also contribute significantly. In this study, NM was infused pre-pump, resulting in high initial drug concentrations within the circuit. Its moderate lipophilicity (logP &#x223c;2) suggests potential adsorption onto circuit components, similar to other drugs like fentanyl and midazolam (<xref ref-type="bibr" rid="B45">Shekar et al., 2012</xref>; <xref ref-type="bibr" rid="B20">Gomez et al., 2022</xref>). As gas flow is often adjusted alongside ECMO blood flow in clinical practice (<xref ref-type="bibr" rid="B47">Strassmann et al., 2019</xref>), higher flows decrease the drug&#x2019;s residence time in the circuit. This could reduce the extent of drug sequestration, impacting the observed CL in the ECMO model, a phenomenon noted with other drugs like vancomycin (<xref ref-type="bibr" rid="B45">Shekar et al., 2012</xref>). Systemically, the observed reduction in V2 in the patient model may reflect improved circulatory efficiency tied to enhanced gas exchange and correlated increases in blood flow, leading to less peripheral drug distribution (<xref ref-type="bibr" rid="B17">Ficial et al., 2021</xref>). However, the effect of gas flow on systemic CL in the patient model was not statistically significant. This is likely because patient CL is influenced by a complex array of systemic factors associated with critical illness (e.g., hepatic function, inflammation), potentially masking the isolated impact of ECMO gas flow (<xref ref-type="bibr" rid="B49">Tonna et al., 2021</xref>). Collectively, these plausible mechanistic links support the inclusion of gas flow rate as a relevant covariate, highlighting the intricate relationship between ECMO settings and drug disposition. Further investigation into these mechanisms is warranted. The absence of statistically significant effects on other PK parameters might be attributable to study limitations, such as sample size or confounding variables.</p>
<p>Among various PD models, the final turnover model provided a robust explanation for the relationship between NM concentration and the corresponding change in aPTT. This model effectively captures how NM inhibits the mechanism responsible for the decrease in aPTT. A turnover model is a mechanistic approach used to describe drug-induced indirect responses by elucidating the dynamic equilibrium between response production and response loss, providing insights into the underlying mechanisms altered by the drug (<xref ref-type="bibr" rid="B12">Dayneka et al., 1993</xref>; <xref ref-type="bibr" rid="B18">Gabrielsson et al., 2019</xref>). In our final PD model, we demonstrated the increase in aPTT by an increase in NM as a mechanism by which NM inhibits the loss of response, i.e., inhibits the decrease in aPTT. To date, there have been no studies that have modeled the relationship between NM exposure and aPTT level. However, the IC50s of our models were comparable to those of Hitomi et al. (<xref ref-type="bibr" rid="B23">Hitomi et al., 1985</xref>). In their study, NM, with a molecular weight of 347.37&#xa0;g/mol, exhibited an IC50 value of 3.0 &#xd7; 10<sup>&#x2212;9</sup>&#xa0;M (1.0421&#xa0;&#x3bc;g/L) for plasma kallikrein inhibition and an IC50 value of 3.3 &#xd7; 10<sup>&#x2212;7</sup>&#xa0;M (114.63&#xa0;&#x3bc;g/L) for inhibiting human Hagmann factor fragment. Additionally, the concentration of NM required to double the aPTT was 5.0 &#xd7; 10<sup>&#x2212;7</sup>&#xa0;M (173.69&#xa0;&#x3bc;g/L).</p>
<p>When Monte Carlo simulations were performed using the final model, the PK profiles of the patient and ECMO models were significantly different, while the PD profiles were not significantly different. In a study conducted in 1972 involving adult patients not on ECMO, maintaining an aPTT within the range of 1.5&#x2013;2.5 times the normal value was associated with a reduced occurrence of recurrent venous thromboembolic events (<xref ref-type="bibr" rid="B5">Basu et al., 1972</xref>). The current clinical recommendations suggest maintaining an aPTT level of 40&#x2013;80&#xa0;s during ECMO, which corresponds to 1.5 to 2.5 times the pretherapy baseline level (<xref ref-type="bibr" rid="B46">Sklar et al., 2016</xref>; <xref ref-type="bibr" rid="B14">Esper et al., 2017</xref>; <xref ref-type="bibr" rid="B26">Koster et al., 2019</xref>; <xref ref-type="bibr" rid="B8">Chlebowski et al., 2020</xref>; <xref ref-type="bibr" rid="B42">Sanfilippo et al., 2022</xref>). However, this recommendation has not been validated in randomized controlled trials or specifically in patients undergoing ECMO therapy (<xref ref-type="bibr" rid="B19">Gajkowski et al., 2022</xref>). To attain the target aPTT level, NM was administered in a dose range of 0.14&#x2013;0.98&#xa0;mg/kg/h (equivalent to 9.8&#x2013;68.6&#xa0;mg/h for a 70&#xa0;kg weight) (<xref ref-type="bibr" rid="B40">Park et al., 2015</xref>), and in another study, at a median dose of 17.7&#xa0;mg/h (range: 9.8&#x2013;21.7&#xa0;mg/h) (<xref ref-type="bibr" rid="B30">Lee et al., 2022</xref>). A systematic review of studies involving the use of NM as an anticoagulant in ECMO patients revealed that the mean dose ranged from 0.46 to 0.67&#xa0;mg/kg/h (equivalent to 32.2&#x2013;46.9&#xa0;mg/h for a 70&#xa0;kg patient) (<xref ref-type="bibr" rid="B42">Sanfilippo et al., 2022</xref>). Based on the findings from these studies, we conducted PK/PD simulations using 10&#xa0;mg/h increments of NM infusion rates ranging from 10&#xa0;mg/h to 50&#xa0;mg/h. Consistent with its administration into the drainage pathway upstream of the ECMO pump, steady-state NM concentrations were markedly higher in the ECMO circuit samples compared to the patient systemic samples (<xref ref-type="fig" rid="F3">Figure 3</xref>). While the observed aPTT levels might appear similar under specific conditions (<xref ref-type="fig" rid="F3">Figure 3</xref>), the underlying PD models developed from patient and ECMO samples reveal important differences (<xref ref-type="table" rid="T3">Table 3</xref>). Specifically, although baseline aPTT and Kin were comparable between the two models, the IC50 was substantially higher in the ECMO model (581&#xa0;&#x3bc;g/L) than in the patient model (350&#xa0;&#x3bc;g/L). The Imax was also slightly higher in the ECMO model. This indicates that while the patient&#x2019;s systemic circulation is inherently more sensitive to anticoagulant effect (lower IC50), it is exposed to much lower drug concentrations due to rapid metabolism and distribution. Conversely, the ECMO circuit requires higher NM concentrations to elicit a similar anticoagulant response due to its higher IC50. This interplay between higher local concentrations within the circuit and distinct local PD characteristics (higher IC50) explains how NM can achieve therapeutic anticoagulation within the ECMO apparatus while limiting excessive systemic aPTT prolongation, aligning with the goal of regional anticoagulation. In some instances, the concentrations of NM in patient and ECMO samples appear comparable, indicating that variability in carboxylesterase-mediated hydrolysis may arise from factors such as genetic variations, regulatory mechanisms at the transcriptional and posttranslational levels, and interactions with other drugs or disease states (<xref ref-type="bibr" rid="B28">Laizure et al., 2013</xref>; <xref ref-type="bibr" rid="B50">Wang et al., 2018</xref>). Traditional views hold that carboxylesterase activity is consistent among individuals; however, recent studies suggest significant variability due to genetic and environmental influences, analogous to those observed with cytochrome P450 enzymes. This emerging evidence highlights the urgent need for more comprehensive clinical studies to elucidate how carboxylesterase impacts drug metabolism and to determine its influence on the efficacy and safety of treatments (<xref ref-type="bibr" rid="B33">Liu et al., 2024</xref>). Similar to the differences observed between arterial and venous blood sampling in PK studies (<xref ref-type="bibr" rid="B43">Schaedeli et al., 2002</xref>; <xref ref-type="bibr" rid="B16">Fagiolino et al., 2013</xref>), the variation in NM concentrations between ECMO and patient samples can be attributed to their anatomical positions relative to the site of administration and metabolism. While ECMO samples initially reflect prehepatic exposure, the systemic circulation ensures that both compartments are subject to ongoing equilibration and hepatic clearance over time. Therefore, the observed concentration differences are consistent with physiological expectations and provide important insights into the local vs systemic distribution of NM in ECMO patients. Furthermore, additional insights into the impact of drug lipophilicity on absorption in the ECMO circuit have been provided through various studies. It was observed that lipophilic drugs exhibit significant sequestration in the ECMO circuit, with a positive correlation between lipophilicity (log P) and absorption, particularly for drugs like midazolam (0.62% recovery) and fentanyl (0.35% recovery) (<xref ref-type="bibr" rid="B51">Wildschut et al., 2010</xref>). Similarly, it was demonstrated that lipophilic drugs such as fentanyl and midazolam experience substantial sequestration within ECMO circuits, leading to necessitating dose adjustments during ECMO therapy (<xref ref-type="bibr" rid="B45">Shekar et al., 2012</xref>). With log P of NM reported to be 1.91 or 2.52 (<xref ref-type="bibr" rid="B25">Kim and Kim, 2022</xref>), these findings suggest that NM is likely absorbed in the ECMO circuit to a considerable extent, which would reduce the amount available to reach the patient. This may explain the observed discrepancies in NM concentrations between the ECMO circuit and patient samples. Despite these insights, the extent to which a patient&#x2019;s condition influences the sequestration of NM within the ECMO circuit remains inadequately explored. This sampling site-specific analysis supports the dual clinical goals of NM therapy: preventing clot formation in the ECMO circuit while avoiding systemic over-anticoagulation and bleeding in patients. The evaluation of clinical adverse events supports the PD interpretation of NM as a regional anticoagulant. Notably, patients who experienced bleeding did not demonstrate disproportionately high NM concentrations or prolonged systemic aPTT values. These findings indicate that bleeding events were not directly attributable to NM overexposure or excessive systemic anticoagulation. Rather, they are likely to result from other clinical factors such as procedural trauma or underlying organ pathology (e.g., hemoptysis in lung disease). Furthermore, the absence of any severe bleeding cases strengthens the safety profile of NM, particularly in comparison to systemic anticoagulants like unfractionated heparin. Notably, the significant interindividual variation observed in aPTT levels between ECMO and patient samples within the same patients underscores the potential benefits of personalized treatment strategies that leverage robust models to optimally maintain aPTT levels.</p>
<p>ECMO has been used worldwide, and its frequency of use is increasing due to the COVID-19 pandemic. Despite technological improvement and accumulated clinical experiences, the optimal anticoagulation strategies and monitoring are not well established, and major bleeding remains both the leading cause of mortality in patients with ECMO and the Achilles heel of ECMO. In this study, we demonstrated the efficacy of NM as a regional anticoagulant comparing the PK/PD profiles of NM in both patient and ECMO samples. Additionally, the changes in aPTT level induced by NM were represented by a turnover model, where NM inhibited the decrease in aPTT. However, in real clinical practice, there is a lack of research on the actual correlation between concentration and adverse events of NM use. Considering diverse clinical situations and variables, additional research is needed to optimally adjust and titrate the dose of NM in real practice.</p>
<p>This study has some limitations. First, the limited number of patients hindered the identification of significant covariates, and the sampling number for each patient was insufficient for the development of a robust PD model with good predictive performance. Consequently, large between-subject variability and imprecise parameter estimates were observed. Due to these imprecise estimates, certain parameters had to be fixed to avoid further compromising the stability and reliability of the model. This highlights the need for caution when extrapolating these findings model to broader populations. Second, as shown in the individual fit plots, the model exhibited suboptimal fitting for a small subset of patients. It appeared that a few patients were documented as continuing their medication despite its discontinuation; due to the absence of any justifiable grounds for exclusion or modification of this data, they were retained for the purpose of model development. Third, we were unable to evaluate other PD markers such as activated clotting time (ACT), prothrombin time (PT), anti-factor Xa, and antithrombin activity, in addition to aPTT. Although ACT and PT data were collected, they had significant missing data and could not be used in model development. However, aPTT represents the most frequently recommended test in clinical guidelines and consensus statements. Fourth, although clinically relevant factors such as ECMO configuration (veno-venous vs veno-arterial), hemodilution, and systemic inflammation were considered during the covariate screening process, none of them demonstrated statistically significant associations with PK or PD parameters and were therefore not retained in the final model. This may be due to limited variability in these clinical characteristics or insufficient statistical power related to the sample size. Future studies with larger and more heterogeneous patient populations are needed to more definitively assess the role of these factors.</p>
</sec>
<sec sec-type="conclusion" id="s5">
<title>5 Conclusion</title>
<p>The PK profiles of NM in both ECMO and patient samples were well described by a two-compartment model. The changes in aPTT level induced by NM were represented by a turnover model, where NM inhibited the decrease in aPTT. Significant interindividual variability was observed in the concentration of NM and its PD effects on aPTT, underscoring the need for models that account for such variability to optimize NM dosing and achieve targeted aPTT levels. By implementing these refined PK/PD models, we might significantly reduce the risks of bleeding and thrombosis in ECMO circuits, thereby enhancing both patient safety and the overall effectiveness of ECMO therapy.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s6">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors, without undue reservation.</p>
</sec>
<sec sec-type="ethics-statement" id="s7">
<title>Ethics statement</title>
<p>The studies involving humans were approved by Inje University Haeundae Paik Hospital Iinstitutional Review Board. The studies were conducted in accordance with the local legislation and institutional requirements. The participants provided their written informed consent to participate in this study.</p>
</sec>
<sec sec-type="author-contributions" id="s8">
<title>Author contributions</title>
<p>DL: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Software, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing. JL: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. JJ: Conceptualization, Data curation, Formal Analysis, Investigation, Methodology, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. YK: Formal Analysis, Investigation, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. GK: Formal Analysis, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. SJ: Formal Analysis, Methodology, Writing &#x2013; original draft, Writing &#x2013; review and editing. MH: Formal Analysis, Validation, Writing &#x2013; original draft, Writing &#x2013; review and editing. HJ: Conceptualization, Data curation, Formal Analysis, Funding acquisition, Investigation, Methodology, Project administration, Resources, Software, Supervision, Validation, Visualization, Writing &#x2013; original draft, Writing &#x2013; review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s9">
<title>Funding</title>
<p>The author(s) declare that financial support was received for the research and/or publication of this article. This work was supported by a SK Chemicals Corporation grant.</p>
</sec>
<ack>
<p>The authors extend their sincere gratitude to Hae Woong Park, Che Eun Im, Yoon-Sung Choi, See Won Choe, and Seo Hyeon Jang, perfusionists in the Department of Cardiac Surgery at Haeundae Paik Hospital, for their valuable contributions and efforts. We would also like to express our utmost appreciation to Young Soon Shim, who conducted the nafamostat assay at the Clinical Trial Center of Chonnam National University Hospital.</p>
</ack>
<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="ai-statement" id="s11">
<title>Generative AI statement</title>
<p>The authors declare that no Generative AI was used in the creation of this manuscript.</p>
</sec>
<sec sec-type="disclaimer" id="s12">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
<sec sec-type="supplementary-material" id="s13">
<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.2025.1541131/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fphar.2025.1541131/full&#x23;supplementary-material</ext-link>
</p>
<supplementary-material xlink:href="Supplementaryfile1.pdf" id="SM1" mimetype="application/pdf" xmlns:xlink="http://www.w3.org/1999/xlink"/>
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