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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Physiol.</journal-id>
<journal-title>Frontiers in Physiology</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Physiol.</abbrev-journal-title>
<issn pub-type="epub">1664-042X</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fphys.2019.01139</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Physiology</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Three-Dimensional Heart Model-Based Screening of Proarrhythmic Potential by <italic>in silico</italic> Simulation of Action Potential and Electrocardiograms</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Hwang</surname> <given-names>Minki</given-names></name>
<xref ref-type="aff" rid="aff1"><sup>1</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Han</surname> <given-names>Seunghoon</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Park</surname> <given-names>Min Cheol</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/782942/overview"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Leem</surname> <given-names>Chae Hun</given-names></name>
<xref ref-type="aff" rid="aff5"><sup>5</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/417522/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Shim</surname> <given-names>Eun Bo</given-names></name>
<xref ref-type="aff" rid="aff4"><sup>4</sup></xref>
<xref ref-type="corresp" rid="c001"><sup>&#x002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/59713/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Yim</surname> <given-names>Dong-Seok</given-names></name>
<xref ref-type="aff" rid="aff2"><sup>2</sup></xref>
<xref ref-type="aff" rid="aff3"><sup>3</sup></xref>
<xref ref-type="corresp" rid="c002"><sup>&#x002A;</sup></xref>
</contrib>
</contrib-group>
<aff id="aff1"><sup>1</sup><institution>SiliconSapiens Inc.</institution>, <addr-line>Seoul</addr-line>, <country>South Korea</country></aff>
<aff id="aff2"><sup>2</sup><institution>Department of Clinical Pharmacology and Therapeutics, Seoul St. Mary&#x2019;s Hospital</institution>, <addr-line>Seoul</addr-line>, <country>South Korea</country></aff>
<aff id="aff3"><sup>3</sup><institution>Pharmacometrics Institute for Practical Education and Training (PIPET), College of Medicine, The Catholic University of Korea</institution>, <addr-line>Seoul</addr-line>, <country>South Korea</country></aff>
<aff id="aff4"><sup>4</sup><institution>Department of Mechanical and Biomedical Engineering, Kangwon National University</institution>, <addr-line>Chuncheon</addr-line>, <country>South Korea</country></aff>
<aff id="aff5"><sup>5</sup><institution>Department of Physiology, College of Medicine, University of Ulsan</institution>, <addr-line>Asan Medical Center, Seoul</addr-line>, <country>South Korea</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Ahsan H. Khandoker, Khalifa University, United Arab Emirates</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Gary Richard Mirams, University of Nottingham, United Kingdom; Jay W. Mason, The University of Utah, United States; Jamie Vandenberg, Victor Chang Cardiac Research Institute, Australia</p></fn>
<corresp id="c001">&#x002A;Correspondence: Eun Bo Shim, <email>ebshim@kangwon.ac.kr</email></corresp>
<corresp id="c002">Dong-Seok Yim, <email>yimds@catholic.ac.kr</email></corresp>
<fn fn-type="other" id="fn004"><p>This article was submitted to Computational Physiology and Medicine, a section of the journal Frontiers in Physiology</p></fn>
</author-notes>
<pub-date pub-type="epub">
<day>04</day>
<month>09</month>
<year>2019</year>
</pub-date>
<pub-date pub-type="collection">
<year>2019</year>
</pub-date>
<volume>10</volume>
<elocation-id>1139</elocation-id>
<history>
<date date-type="received">
<day>16</day>
<month>04</month>
<year>2019</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>08</month>
<year>2019</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2019 Hwang, Han, Park, Leem, Shim and Yim.</copyright-statement>
<copyright-year>2019</copyright-year>
<copyright-holder>Hwang, Han, Park, Leem, Shim and Yim</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract>
<p>The proarrhythmic risk is a major concern in drug development. The Comprehensive <italic>in vitro</italic> Proarrhythmia Assay (CiPA) initiative has proposed the JTpeak interval on electrocardiograms (ECGs) and qNet, an <italic>in silico</italic> metric, as new biomarkers that may overcome the limitations of the hERG assay and QT interval. In this study, we simulated body-surface ECGs from patch-clamp data using realistic models of the ventricles and torso to explore their suitability as new <italic>in silico</italic> biomarkers for cardiac safety. We tested seven drugs in this study: dofetilide (high proarrhythmic risk), ranolazine, verapamil (QT increasing, but safe), bepridil, cisapride, mexiletine, and diltiazem. Human ventricular geometry was reconstructed from computed tomography (CT) images, and a Purkinje fiber network was mapped onto the endocardial surface. The electrical wave propagation in the ventricles was obtained by solving a reaction-diffusion equation using finite-element methods. The body-surface ECG data were calculated using a torso model that included the ventricles. The effects of the drugs were incorporated in the model by partly blocking the appropriate ion channels. The effects of the drugs on single-cell action potential (AP) were examined first, and three-dimensional (3D) body-surface ECG simulations were performed at free Cmax values of 1&#x00D7;, 5&#x00D7;, and 10&#x00D7;. In the single-cell and ECG simulations at 5&#x00D7; Cmax, dofetilide, but not verapamil or ranolazine, caused arrhythmia. However, the non-increasing JTpeak caused by verapamil and ranolazine that has been observed in humans was not reproduced in our simulation. Our results demonstrate the potential of 3D body-surface ECG simulation as a biomarker for evaluation of the proarrhythmic risk of candidate drugs.</p>
</abstract>
<kwd-group>
<kwd>3D heart model</kwd>
<kwd>ECG simulation</kwd>
<kwd>hERG</kwd>
<kwd>QT</kwd>
<kwd>torsade de pointes</kwd>
</kwd-group>
<contract-sponsor id="cn001">Korea Food and Drug Administration<named-content content-type="fundref-id">10.13039/501100007603</named-content></contract-sponsor>
<counts>
<fig-count count="7"/>
<table-count count="6"/>
<equation-count count="2"/>
<ref-count count="33"/>
<page-count count="9"/>
<word-count count="0"/>
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</article-meta>
</front>
<body>
<sec><title>Introduction</title>
<p>The proarrhythmic effects of cardiac and non-cardiac drugs have comprised a major drug safety issue for the past 20 years (<xref ref-type="bibr" rid="B33">Zipes, 1987</xref>; <xref ref-type="bibr" rid="B5">De Ponti et al., 2002</xref>; <xref ref-type="bibr" rid="B19">Moro et al., 2010</xref>). The electrocardiogram (ECG) is an effective means of determining whether a drug is proarrhythmic. Under certain conditions, prolongation of the QT interval increases the risk of developing Torsades de pointes (TdP), which can lead to sudden cardiac death (<xref ref-type="bibr" rid="B26">Thomas and Behr, 2016</xref>). The Comprehensive <italic>in vitro</italic> Proarrhythmia Assay (CiPA) was recently proposed to improve the accuracy of drug safety prediction during preclinical and clinical development (<xref ref-type="bibr" rid="B30">Vicente et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Wallis et al., 2018</xref>). The CiPA comprises <italic>in silico</italic> simulation of several ion-channel assays and ECG studies to identify biomarkers of false-positive results of single hERG channel assays and thorough QT (TQT) studies (<xref ref-type="bibr" rid="B4">Darpo, 2010</xref>) performed according to the International Council for Harmonisation (ICH) S7B and E14 guidelines. There have been a large number of studies that investigated the effect of drugs on ECG using in silicon three-dimensional (3D) heart model. <xref ref-type="bibr" rid="B32">Zemzemi et al. (2013)</xref> examined the effect of the block of ion channels on ECG parameters. <xref ref-type="bibr" rid="B21">Okada et al. (2018)</xref> generated an arrhythmic hazard map under multiple ion channel blocks. <xref ref-type="bibr" rid="B25">Sahli Costabal et al. (2019)</xref> investigated the critical drug concentration which induced torsade de pointes. <xref ref-type="bibr" rid="B23">Rivolta et al. (2017)</xref> performed sensitivity analysis of JT<sub>peak</sub> and T-wave morphology parameters.</p>
<p>In this study, we further examined the utility of 3D ECG simulation in evaluating drug safety by simulating ECG at relatively high concentrations of drugs using realistic models of the ventricles and torso. We tested dofetilide, bepridil, cisapride, ranolazine, verapamil, mexiletine, and diltiazem using the 3D model and examined the morphologies of the simulated ECG data according to drug concentration. Dofetilide, bepridil, and cisapride are high or intermediate-proarrhythmic-risk drug that prolongs the QT by blocking hERG. Verapamil and ranolazine are &#x201C;false positive&#x201D; low-proarrhythmic-risk drugs; they induce prolonged QT by hERG blockade while simultaneously blocking inward Ca<sup>2+</sup> (verapamil) and Na<sup>+</sup> (ranolazine) ion channels (<xref ref-type="bibr" rid="B30">Vicente et al., 2018</xref>). Mexiletine and diltiazem are low-proarrhythmic-risk drugs that do not prolong the QT at all. Recently, CiPA researchers proposed a new ECG biomarker, JTpeak, which may enable the identification of drugs producing false-positive results (<xref ref-type="bibr" rid="B30">Vicente et al., 2018</xref>). Proarrhythmic drugs prolong the QT and the JTpeak due to hERG blockade, but not when the hERG blockade is offset by simultaneous blockade of other depolarizing ion channels (as by verapamil and ranolazine: only the QT prolonged but not the JTpeak). In this study, we explored the ability of the results of 3D ECG simulations to identify false-positive results independently of clinically obtained ECG data.</p>
</sec>
<sec><title>Materials and Methods</title>
<sec><title>ECG Simulation Using Models of the Ventricles and Torso</title>
<p>The model construction and ECG simulation are also described in our previous papers (<xref ref-type="bibr" rid="B10">Im et al., 2008</xref>; <xref ref-type="bibr" rid="B15">Lim et al., 2013</xref>; <xref ref-type="bibr" rid="B24">Ryu et al., 2019</xref>). Human ventricular geometry and torso were from our previous studies (<xref ref-type="bibr" rid="B15">Lim et al., 2013</xref>; <xref ref-type="bibr" rid="B24">Ryu et al., 2019</xref>) (<xref ref-type="fig" rid="F1">Figures 1A&#x2013;C</xref>). Human ventricular geometry was reconstructed from the computed tomography (CT) images obtained from the University of Ulsan Medical Center using a commercially available software Aquarius intuition (TeraRecon Inc., San Mateo, CA, United States). Tetrahedral mesh was generated inside the 3D ventricular model using an in-house software (<xref ref-type="fig" rid="F1">Figure 1A</xref>). The number of grid element was 1,475,818. For the modeling of Purkinje fibers, the 2-dimensional representation of the Purkinje network shown in the paper by <xref ref-type="bibr" rid="B2">Berenfeld and Jalife (1998)</xref> was digitized, scaled to the size of the 3D model, and mapped onto the endocardial surface of the 3D model of the ventricles (<xref ref-type="fig" rid="F1">Figure 1B</xref>). Pacing was applied at the location of His bundle. The model of Purkinje fibers simply transmits the electrical signal unidirectionally. The speeds of signal transmission at various regions were adjusted manually so that the simulated activation map matches that of clinical data (<xref ref-type="bibr" rid="B6">Durrer et al., 1970</xref>; <xref ref-type="supplementary-material" rid="TS2">Supplementary Figure S2</xref>). The end nodes of the Purkinje network stimulated myocardium by applying stimulation current of &#x2212;80.0 A/F until the membrane potential exceeds &#x2212;10 mV. The endocardial nodes connected to the node nearest to each end node of the Purkinje network were considered the Purkinje-muscle junction (PMJ). All the tetrahedral elements containing the PMJ nodes were stimulated. Signal propagation from the stimulation nodes throughout the tissue was obtained by solving a reaction-diffusion equation (Eq. 1) numerically:</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption><p>Models of the ventricle and torso used in the present study. <bold>(A)</bold> Grid of the ventricular model. <bold>(B)</bold> Model of the Purkinje fiber network. <bold>(C)</bold> Model of the torso.</p></caption>
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<p>where <italic>V</italic><sub>m</sub> is the transmembrane potential, <italic>t</italic> is time, <italic>D</italic> is the diffusion tensor, <italic>C</italic><sub>m</sub> is the membrane capacitance, and <italic>I</italic><sub>ion</sub> and <italic>I</italic><sub><italic>stim</italic></sub> are ionic and stimulation currents, respectively. The equation was spatially discretized by using finite element and the time derivative was approximated by forward Euler method (<xref ref-type="bibr" rid="B10">Im et al., 2008</xref>). To calculate <italic>I</italic><sub>ion</sub>, the O&#x2019;Hara-Rudy dynamic (ORd) human ventricular cell model was used (<xref ref-type="bibr" rid="B20">O&#x2019;Hara et al., 2011</xref>). ORd model has three types of cells: endocardial, M, and epicardial cells. Each cell type was assigned to the ventricular wall with reference to the figure shown in the paper by <xref ref-type="bibr" rid="B28">Trudel et al. (2004)</xref>. We also tested three recently published optimized cell models (<xref ref-type="bibr" rid="B16">Mann et al., 2016</xref>; <xref ref-type="bibr" rid="B7">Dutta et al., 2017</xref>; <xref ref-type="bibr" rid="B12">Krogh-Madsen et al., 2017</xref>). To calculate ECG values, the boundary element model of the human torso proposed by <xref ref-type="bibr" rid="B22">Potse et al. (2009)</xref> was used (<xref ref-type="fig" rid="F1">Figure 1C</xref>). The ECG was calculated by computing the potentials on the torso surface using the following equation (<xref ref-type="bibr" rid="B22">Potse et al., 2009</xref>):</p>
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</mml:mrow>
</mml:mrow>
</mml:mrow>
<mml:mo>]</mml:mo>
</mml:mrow>
</mml:mrow>
</mml:mrow>
</mml:math>
</disp-formula>
<p>where &#x03D5;<sub><italic>e</italic><italic>k</italic></sub>(<italic>r</italic>) is potential at a point r on surface k. <inline-formula><mml:math id="INEQ2"><mml:msubsup><mml:mi mathvariant="normal">&#x03C3;</mml:mi><mml:mi>k</mml:mi><mml:mo>-</mml:mo></mml:msubsup></mml:math></inline-formula> and <inline-formula><mml:math id="INEQ3"><mml:msubsup><mml:mi mathvariant="normal">&#x03C3;</mml:mi><mml:mi>k</mml:mi><mml:mo>+</mml:mo></mml:msubsup></mml:math></inline-formula> are the conductivity inside and outside the surface k, respectively, <italic>J</italic><sub><italic>c</italic></sub> is the source current density field, and <italic>r</italic>&#x2032; and <italic>r</italic>&#x2033; are variables. The summation is over all surfaces <italic>l</italic>. d&#x03A9;<sub><italic>r</italic><italic>r</italic>&#x2033;</sub> is the solid angle subtended at <italic>r</italic> by the infinitesimal surface element located at <italic>r</italic>&#x2033;. The key parameters of simulation are shown in <xref ref-type="table" rid="T1">Table 1</xref>.</p>
<table-wrap position="float" id="T1">
<label>TABLE 1</label>
<caption><p>Key parameters of simulation.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<tbody>
<tr>
<td valign="top" align="left">Number of computational elements</td>
<td valign="top" align="center">1,475,818</td>
</tr>
<tr>
<td valign="top" align="left">Ventricular tissue diffusion coefficient</td>
<td valign="top" align="center">0.00154 cm<sup>2</sup>/s</td>
</tr>
<tr>
<td valign="top" align="left">Ventricular cell membrane capacitance</td>
<td valign="top" align="center">2.0 &#x03BC;F/cm<sup>2</sup></td>
</tr>
<tr>
<td valign="top" align="left">Body conductivity</td>
<td valign="top" align="center">2.0 mS/cm</td>
</tr>
</tbody>
</table>
</table-wrap>
</sec>
<sec><title>Incorporation of the Effects of Drugs in the ECG Simulation</title>
<p>For the simulation of drug effect on ECG, we used the parameter values obtained by CiPA researchers to compare with their clinical data (<xref ref-type="bibr" rid="B3">Crumb et al., 2016</xref>; <xref ref-type="bibr" rid="B13">Li et al., 2017</xref>, <xref ref-type="bibr" rid="B14">2019</xref>). We tested seven drugs: dofetilide, bepridil, cisapride, verapamil, ranolazine, mexiletine, and diltiazem. The effects of drugs were incorporated in the ECG simulation by partly blocking the corresponding ion channels (<italic>I</italic><sub>Na</sub>, <italic>I</italic><sub>NaL</sub>, <italic>I</italic><sub>CaL</sub>, and <italic>I</italic><sub>Kr</sub>) in the ionic-current model. The percentage of blockage of each ionic current was calculated using the Hill equation (<xref ref-type="bibr" rid="B8">Goutelle et al., 2008</xref>). The Cmax, IC<sub>50</sub>, and Hill coefficient values for each drug with respect to each ionic current were adopted from the literature (<xref ref-type="table" rid="T2">Table 2</xref>) (<xref ref-type="bibr" rid="B3">Crumb et al., 2016</xref>; <xref ref-type="bibr" rid="B13">Li et al., 2017</xref>, <xref ref-type="bibr" rid="B14">2019</xref>). Cmax means free Cmax unless otherwise stated. The effects of each drug on single-cell action potentials [of endocardial (endo), epicardial (epi), and mid-myocardial (M) cells] were examined first, and 3D ECG simulations were performed at 1&#x00D7;, 5&#x00D7; and 10&#x00D7; Cmax.</p>
<table-wrap position="float" id="T2">
<label>TABLE 2</label>
<caption><p>Percentages of blockage of four ionic currents.</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"></td>
<td valign="top" align="center"><bold><italic>I</italic><sub>NaL</sub></bold></td>
<td valign="top" align="center"><bold><italic>I</italic><sub>CaL</sub></bold></td>
<td valign="top" align="center"><bold><italic>I</italic><sub>Na</sub></bold></td>
<td valign="top" align="center"><bold><italic>I</italic><sub>Kr</sub>(hERG)</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left"><bold>Dofetilide</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.002</td>
<td valign="top" align="center">0.002</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">126</td>
<td valign="top" align="center">44.5</td>
<td valign="top" align="center">1.36</td>
<td valign="top" align="center">0.001</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">3.6</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">0.6</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">0.000526</td>
<td valign="top" align="center">2.24E-14</td>
<td valign="top" align="center">0.0765</td>
<td valign="top" align="center">60.2</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Bepridil</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">0.033</td>
<td valign="top" align="center">0.033</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">1.82</td>
<td valign="top" align="center">2.82</td>
<td valign="top" align="center">2.96</td>
<td valign="top" align="center">0.149</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">0.65</td>
<td valign="top" align="center">1.2</td>
<td valign="top" align="center">0.9</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">0.363</td>
<td valign="top" align="center">5.26</td>
<td valign="top" align="center">0.452</td>
<td valign="top" align="center">20.5</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Cisapride</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">0.0026</td>
<td valign="top" align="center">0.0026</td>
<td valign="top" align="center">0.0026</td>
<td valign="top" align="center">0.0026</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">9260</td>
<td valign="top" align="center">1030</td>
<td valign="top" align="center">1790</td>
<td valign="top" align="center">0.012</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">6.3</td>
<td valign="top" align="center">4.8</td>
<td valign="top" align="center">0.67</td>
<td valign="top" align="center">1.3</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">5.3E-40</td>
<td valign="top" align="center">1.35E-25</td>
<td valign="top" align="center">0.0123</td>
<td valign="top" align="center">12.0</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Verapamil</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">0.081</td>
<td valign="top" align="center">0.081</td>
<td valign="top" align="center">0.081</td>
<td valign="top" align="center">0.081</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">24.1</td>
<td valign="top" align="center">0.204</td>
<td valign="top" align="center">2590</td>
<td valign="top" align="center">0.499</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">1.1</td>
<td valign="top" align="center">3.5</td>
<td valign="top" align="center">1.1</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">0.00113</td>
<td valign="top" align="center">26.6</td>
<td valign="top" align="center">1.71E-14</td>
<td valign="top" align="center">11.9</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Ranolazine</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center">1.95</td>
<td valign="top" align="center">1.95</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">7.94</td>
<td valign="top" align="center">900</td>
<td valign="top" align="center">53.3</td>
<td valign="top" align="center">6.49</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">0.95</td>
<td valign="top" align="center">3.9</td>
<td valign="top" align="center">1.9</td>
<td valign="top" align="center">0.8</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">20.8</td>
<td valign="top" align="center">4.06E-9</td>
<td valign="top" align="center">0.186</td>
<td valign="top" align="center">27.6</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Mexiletine</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">4.13</td>
<td valign="top" align="center">4.13</td>
<td valign="top" align="center">4.13</td>
<td valign="top" align="center">4.13</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">9.02</td>
<td valign="top" align="center">38.9</td>
<td valign="top" align="center">26.1</td>
<td valign="top" align="center">Infinity</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">3.8</td>
<td valign="top" align="center">&#x2212;</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">25.1</td>
<td valign="top" align="center">9.60</td>
<td valign="top" align="center">0.0905</td>
<td valign="top" align="center">0</td>
</tr>
<tr>
<td valign="top" align="left"><bold>Diltiazem</bold></td>
<td/>
<td/>
<td/>
<td/>
</tr>
<tr>
<td valign="top" align="left">Cmax (&#x03BC;M)</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">0.122</td>
<td valign="top" align="center">0.122</td>
</tr>
<tr>
<td valign="top" align="left">IC50 (&#x03BC;M)</td>
<td valign="top" align="center">21.6</td>
<td valign="top" align="center">0.113</td>
<td valign="top" align="center">36.9</td>
<td valign="top" align="center">6.57</td>
</tr>
<tr>
<td valign="top" align="left">Hill coefficient</td>
<td valign="top" align="center">0.68</td>
<td valign="top" align="center">0.72</td>
<td valign="top" align="center">1.4</td>
<td valign="top" align="center">0.8</td>
</tr>
<tr>
<td valign="top" align="left">Block at Cmax (%)</td>
<td valign="top" align="center">2.87</td>
<td valign="top" align="center">51.4</td>
<td valign="top" align="center">0.0336</td>
<td valign="top" align="center">3.96</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<attrib><italic>The percentages were calculated using the Hill equation applying the Cmax, IC50, and Hill coefficient values adopted from the literatgure (<xref ref-type="bibr" rid="B3">Crumb et al., 2016</xref>; <xref ref-type="bibr" rid="B13">Li et al., 2017</xref>, <xref ref-type="bibr" rid="B14">2019</xref>). Cmax (free Cmax) values are from <xref ref-type="bibr" rid="B13">Li et al. (2017)</xref>. IC<sub>50</sub> and Hill coefficient values of hERG are from <xref ref-type="bibr" rid="B3">Crumb et al. (2016)</xref>. IC<sub>50</sub> and Hill coefficient values of Ca<sup>2+</sup> and Na<sup>+</sup> are from <xref ref-type="bibr" rid="B14">Li et al. (2019)</xref>.</italic></attrib>
</table-wrap-foot>
</table-wrap>
</sec>
</sec>
<sec><title>Results</title>
<sec><title>Effects on Single-Cell APs</title>
<p><xref ref-type="fig" rid="F2">Figure 2</xref> shows AP curves for endocardial, M, and epicardial cells for seven drugs at Cmax values of 1&#x00D7;, 5&#x00D7;, and 10&#x00D7; (<xref ref-type="supplementary-material" rid="TS1">Supplementary Table S1</xref>). The Cmax values are listed in <xref ref-type="table" rid="T2">Table 2</xref>. The increases in the 90% AP duration (APD<sub>90</sub>) for the three drugs in endocardial, M, and epicardial cells compared with the no-drug control are shown in <xref ref-type="table" rid="T3">Table 3</xref>. Among the three drugs, dofetilide induced the greatest increase in the APD<sub>90</sub> value, followed by ranolazine and verapamil. When Cmax was increased from 1&#x00D7; to 10&#x00D7;, APD<sub>90</sub> increased for all three drugs and all three cell types, with the exception of M cells, in the presence of dofetilide. Dofetilide induced ventricular tachycardia in the M cells at Cmax values of 5&#x00D7; and 10&#x00D7; (<xref ref-type="fig" rid="F2">Figure 2</xref>). <xref ref-type="table" rid="T4">Table 4</xref> shows the transmural dispersion of repolarization (TDR) values, calculated as the difference between the largest and smallest APD<sub>90</sub>s among the endocardial, M, and epicardial cells. The TDR was largest in the case of dofetilide, and verapamil did not alter the TDR at a Cmax of 1&#x00D7; compared with the drug-free control (<xref ref-type="table" rid="T4">Table 4</xref>). At a Cmax of 10&#x00D7;, verapamil increased the APD<sub>90</sub> of epicardial cells to a greater degree than that of M cells (<xref ref-type="table" rid="T3">Table 3</xref>), which resulted in a decreased TDR compared with the drug-free control (<xref ref-type="table" rid="T4">Table 4</xref>). <xref ref-type="fig" rid="F3">Figure 3</xref> shows AP curves for seven drugs with different cell electrophysiology models. The models of <xref ref-type="bibr" rid="B20">O&#x2019;Hara et al. (2011)</xref> and <xref ref-type="bibr" rid="B7">Dutta et al. (2017)</xref> provided relatively long ADP. Safe drugs resulted in relatively short APD except for ranolazine in which metabolites seem to play a significant role in drug binding (<xref ref-type="bibr" rid="B18">Moreno et al., 2013</xref>).</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption><p>Effects on single-cell action potential. Action potential curves are shown for 7 drugs at Cmax values of 1&#x00D7;, 5&#x00D7;, and 10&#x00D7;. The action potentials of endocardial, M, and epicardial cells are shown for each drug and Cmax value. Dofetilide at Cmax values of 5&#x00D7; and 10&#x00D7; and cisapride at 10&#x00D7; induced tachycardia.</p></caption>
<graphic xlink:href="fphys-10-01139-g002.tif"/>
</fig>
<table-wrap position="float" id="T3">
<label>TABLE 3</label>
<caption><p>Simulated &#x0394;APD<sub>90</sub> for endocardial, M, and epicardial cells (Units: ms).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Drugs</bold></td>
<td valign="top" align="center" colspan="3"><bold>1&#x00D7; Cmax</bold><hr/></td>
<td valign="top" align="center" colspan="3"><bold>5&#x00D7; Cmax</bold><hr/></td>
<td valign="top" align="center" colspan="3"><bold>10&#x00D7; Cmax</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><bold>Endo</bold></td>
<td valign="top" align="center"><bold>M</bold></td>
<td valign="top" align="center"><bold>Epi</bold></td>
<td valign="top" align="center"><bold>Endo</bold></td>
<td valign="top" align="center"><bold>M</bold></td>
<td valign="top" align="center"><bold>Epi</bold></td>
<td valign="top" align="center"><bold>Endo</bold></td>
<td valign="top" align="center"><bold>M</bold></td>
<td valign="top" align="center"><bold>Epi</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dofetilide</td>
<td valign="top" align="center">157</td>
<td valign="top" align="center">182</td>
<td valign="top" align="center">136</td>
<td valign="top" align="center">277</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">239</td>
<td valign="top" align="center">341</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">288</td>
</tr>
<tr>
<td valign="top" align="left">Bepridil</td>
<td valign="top" align="center">34</td>
<td valign="top" align="center">37</td>
<td valign="top" align="center">28</td>
<td valign="top" align="center">115</td>
<td valign="top" align="center">127</td>
<td valign="top" align="center">104</td>
<td valign="top" align="center">174</td>
<td valign="top" align="center">201</td>
<td valign="top" align="center">158</td>
</tr>
<tr>
<td valign="top" align="left">Cisapride</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">124</td>
<td valign="top" align="center">138</td>
<td valign="top" align="center">108</td>
<td valign="top" align="center">225</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">194</td>
</tr>
<tr>
<td valign="top" align="left">Verapamil</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">57</td>
<td valign="top" align="center">71</td>
<td valign="top" align="center">69</td>
<td valign="top" align="center">123</td>
<td valign="top" align="center">113</td>
<td valign="top" align="center">135</td>
</tr>
<tr>
<td valign="top" align="left">Ranolazine</td>
<td valign="top" align="center">49</td>
<td valign="top" align="center">50</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">131</td>
<td valign="top" align="center">146</td>
<td valign="top" align="center">120</td>
<td valign="top" align="center">188</td>
<td valign="top" align="center">235</td>
<td valign="top" align="center">170</td>
</tr>
<tr>
<td valign="top" align="left">Mexiletine</td>
<td valign="top" align="center">&#x2013;13</td>
<td valign="top" align="center">&#x2013;11</td>
<td valign="top" align="center">&#x2013;7</td>
<td valign="top" align="center">&#x2013;36</td>
<td valign="top" align="center">&#x2013;29</td>
<td valign="top" align="center">&#x2013;12</td>
<td valign="top" align="center">209</td>
<td valign="top" align="center">&#x2013;14</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left">Diltiazem</td>
<td valign="top" align="center">&#x2013;30</td>
<td valign="top" align="center">&#x2013;14</td>
<td valign="top" align="center">&#x2013;2</td>
<td valign="top" align="center">&#x2013;29</td>
<td valign="top" align="center">&#x2013;16</td>
<td valign="top" align="center">15</td>
<td valign="top" align="center">&#x2013;18</td>
<td valign="top" align="center">&#x2013;6</td>
<td valign="top" align="center">34</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap position="float" id="T4">
<label>TABLE 4</label>
<caption><p>Simulated changes in TDR, QTc, and JT<sub>peak</sub>c according to drug concentration (Unit: ms).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Drugs</bold></td>
<td valign="top" align="center" colspan="3"><bold>1&#x00D7; Cmax</bold><hr/></td>
<td valign="top" align="center" colspan="3"><bold>5&#x00D7; Cmax</bold><hr/></td>
<td valign="top" align="center" colspan="3"><bold>10&#x00D7; Cmax</bold><hr/></td>
</tr>
<tr>
<td/>
<td valign="top" align="center"><bold>&#x0394;TDR</bold></td>
<td valign="top" align="center"><bold>&#x0394;QTc</bold></td>
<td valign="top" align="center"><bold>&#x0394;JT<sub>peak</sub>c</bold></td>
<td valign="top" align="center"><bold>&#x0394;TDR</bold></td>
<td valign="top" align="center"><bold>&#x0394;QTc</bold></td>
<td valign="top" align="center"><bold>&#x0394;JT<sub>peak</sub>c</bold></td>
<td valign="top" align="center"><bold>&#x0394;TDR</bold></td>
<td valign="top" align="center"><bold>&#x0394;QTc</bold></td>
<td valign="top" align="center"><bold>&#x0394;JT<sub>peak</sub>c</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dofetilide</td>
<td valign="top" align="center">46</td>
<td valign="top" align="center">266</td>
<td valign="top" align="center">247</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">Bepridil</td>
<td valign="top" align="center">9</td>
<td valign="top" align="center">51</td>
<td valign="top" align="center">44</td>
<td valign="top" align="center">23</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">179</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">289</td>
<td valign="top" align="center">281</td>
</tr>
<tr>
<td valign="top" align="left">Cisapride</td>
<td valign="top" align="center">4</td>
<td valign="top" align="center">30</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">31</td>
<td valign="top" align="center">194</td>
<td valign="top" align="center">191</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">Verapamil</td>
<td valign="top" align="center">0</td>
<td valign="top" align="center">17</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">2</td>
<td valign="top" align="center">79</td>
<td valign="top" align="center">83</td>
<td valign="top" align="center">&#x2013;23</td>
<td valign="top" align="center">137</td>
<td valign="top" align="center">166</td>
</tr>
<tr>
<td valign="top" align="left">Ranolazine</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">70</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">216</td>
<td valign="top" align="center">206</td>
<td valign="top" align="center">64</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">Mexiletine</td>
<td valign="top" align="center">&#x2013;4</td>
<td valign="top" align="center">&#x2013;10</td>
<td valign="top" align="center">&#x2013;9</td>
<td valign="top" align="center">&#x2013;17</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">142</td>
<td valign="top" align="center">&#x2013;</td>
<td valign="top" align="center">&#x2013;</td>
</tr>
<tr>
<td valign="top" align="left">Diltiazem</td>
<td valign="top" align="center">&#x2013;12</td>
<td valign="top" align="center">&#x2013;19</td>
<td valign="top" align="center">&#x2013;20</td>
<td valign="top" align="center">&#x2013;27</td>
<td valign="top" align="center">&#x2013;30</td>
<td valign="top" align="center">&#x2013;1</td>
<td valign="top" align="center">&#x2013;27</td>
<td valign="top" align="center">&#x2013;9</td>
<td valign="top" align="center">24</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption><p>Action potentials with different cell models. Action potential curves are shown for 7 drugs with 4 different cell models at 1&#x00D7; Cmax. Action potentials of endocardial, M, and epicardial cells are shown.</p></caption>
<graphic xlink:href="fphys-10-01139-g003.tif"/>
</fig>
</sec>
<sec><title>Effects on 3D ECG Parameters</title>
<p>To examine the effects of drug concentration on ECG parameters, 3D ECG simulations were performed using the conditions shown in <xref ref-type="fig" rid="F2">Figure 2</xref>. <xref ref-type="fig" rid="F4">Figure 4</xref> shows the simulated ECGs (lead I) for the seven drugs according to concentration. Dofetilide resulted in the greatest increase in the &#x0394;QTc value at 1&#x00D7; Cmax (<xref ref-type="table" rid="T4">Table 4</xref>). At a Cmax value of 5&#x00D7;, dofetilide induced ventricular flutter; at 10&#x00D7; Cmax, dofetilide, cisapride, and ranolazine induced ventricular flutter. In contrast to findings reported by the CiPA researchers (<xref ref-type="bibr" rid="B30">Vicente et al., 2018</xref>), the JT<sub>peakC</sub> value increased with the QTc value for ranolazine and verapamil (<xref ref-type="table" rid="T4">Table 4</xref>). <xref ref-type="fig" rid="F5">Figure 5</xref> shows ECGs obtained from using different optimized cell models for the seven drugs at 1&#x00D7; Cmax. Dofetilide exhibited relatively long QT interval in all the cell models except for the model of <xref ref-type="bibr" rid="B12">Krogh-Madsen et al. (2017)</xref> in which the ECG morphology was irregular. The amplitude of the T wave was largest in the case of <xref ref-type="bibr" rid="B7">Dutta et al. (2017)</xref> while the model of <xref ref-type="bibr" rid="B16">Mann et al. (2016)</xref> exhibited the smallest T wave amplitude. <xref ref-type="table" rid="T5">Table 5</xref> shows JT<sub>peak</sub>c prolongation of drugs for different optimized cell models. The optimized cell models resulted in JT<sub>peak</sub>c prolongations which are more consistent with clinical observations than the original ORd model. For ranolazine, metabolites seem to play a significant role in drug binding (<xref ref-type="bibr" rid="B18">Moreno et al., 2013</xref>).</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption><p>Effects on body-surface ECG parameters. Body-surface ECG data (lead I) are shown for 7 drugs at Cmax values of 1&#x00D7;, 5&#x00D7;, and 10&#x00D7; compared with drug-free conditions. The QT interval was longest for dofetilide.</p></caption>
<graphic xlink:href="fphys-10-01139-g004.tif"/>
</fig>
<table-wrap position="float" id="T5">
<label>TABLE 5</label>
<caption><p>Simulated &#x0394;JT<sub>peak</sub>c for various drugs with different cell models (Unit: ms).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="left"><bold>Drugs</bold></td>
<td valign="top" align="center"><bold><xref ref-type="bibr" rid="B20">O&#x2019;Hara et al. (2011)</xref></bold></td>
<td valign="top" align="center"><bold><xref ref-type="bibr" rid="B16">Mann et al. (2016)</xref></bold></td>
<td valign="top" align="center"><bold><xref ref-type="bibr" rid="B7">Dutta et al. (2017)</xref></bold></td>
<td valign="top" align="center"><bold><xref ref-type="bibr" rid="B12">Krogh-Madsen et al. (2017)</xref></bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dofetilide</td>
<td valign="top" align="center">247</td>
<td valign="top" align="center">67</td>
<td valign="top" align="center">142</td>
<td valign="top" align="center">127</td>
</tr>
<tr>
<td valign="top" align="left">Bepridil</td>
<td valign="top" align="center">44</td>
<td valign="top" align="center">13</td>
<td valign="top" align="center">35</td>
<td valign="top" align="center">49</td>
</tr>
<tr>
<td valign="top" align="left">Cisapride</td>
<td valign="top" align="center">26</td>
<td valign="top" align="center">7</td>
<td valign="top" align="center">21</td>
<td valign="top" align="center">8</td>
</tr>
<tr>
<td valign="top" align="left">Verapamil</td>
<td valign="top" align="center">18</td>
<td valign="top" align="center">1</td>
<td valign="top" align="center">12</td>
<td valign="top" align="center">5</td>
</tr>
<tr>
<td valign="top" align="left">Ranolazine</td>
<td valign="top" align="center">74</td>
<td valign="top" align="center">32</td>
<td valign="top" align="center">43</td>
<td valign="top" align="center">58</td>
</tr>
<tr>
<td valign="top" align="left">Mexiletine</td>
<td valign="top" align="center">&#x2013;9</td>
<td valign="top" align="center">&#x2013;5</td>
<td valign="top" align="center">&#x2013;14</td>
<td valign="top" align="center">&#x2013;6</td>
</tr>
<tr>
<td valign="top" align="left">Diltiazem</td>
<td valign="top" align="center">&#x2013;20</td>
<td valign="top" align="center">&#x2013;15</td>
<td valign="top" align="center">&#x2013;16</td>
<td valign="top" align="center">&#x2013;4</td>
</tr>
</tbody>
</table>
</table-wrap>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption><p>ECGs with different cell models. Body-surface ECGs (lead I) are shown for 7 drugs applying different cell models at 1&#x00D7; Cmax. Irregular morphology of ECG is observed for dofetilide in the case of the model by <xref ref-type="bibr" rid="B12">Krogh-Madsen et al. (2017)</xref>.</p></caption>
<graphic xlink:href="fphys-10-01139-g005.tif"/>
</fig>
<p>Because dofetilide induced ventricular tachycardia in the single-cell model at Cmax values of 5&#x00D7; and 10&#x00D7;, ventricular tachycardia was examined in the 3D model. <xref ref-type="fig" rid="F6">Figure 6</xref> shows the AP from the single-cell model, the AP at a point in the 3D model, and ECG data from the 3D model in the presence of dofetilide at a Cmax of 10&#x00D7;, which indicates the presence of ventricular tachycardia. <xref ref-type="fig" rid="F6">Figure 6</xref> also shows snapshots of ventricular AP propagation, which exhibits rotational activation. <xref ref-type="table" rid="T6">Table 6</xref> lists the occurrences of ventricular tachycardia caused by the three drugs according to concentration. The arrhythmia morphology was not polymorphic, which is a limitation of our model.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption><p>Drug-induced ventricular tachycardia. The action potential from the single-cell model, action potential at a point in the 3D model, and ECG data from the 3D model in the presence of dofetilide at a Cmax value of 10&#x00D7; are shown. Photographs of ventricular action potential propagation are also shown.</p></caption>
<graphic xlink:href="fphys-10-01139-g006.tif"/>
</fig>
<table-wrap position="float" id="T6">
<label>TABLE 6</label>
<caption><p>Occurrence of ventricular tachycardia. Simulated ECG was examined to determine the occurrence of VT (O: VT occurred, X: VT did not occur).</p></caption>
<table cellspacing="5" cellpadding="5" frame="hsides" rules="groups">
<thead>
<tr>
<td valign="top" align="justify"></td>
<td valign="top" align="center"><bold>1&#x00D7; Cmax</bold></td>
<td valign="top" align="center"><bold>5&#x00D7; Cmax</bold></td>
<td valign="top" align="center"><bold>10&#x00D7; Cmax</bold></td>
</tr>
</thead>
<tbody>
<tr>
<td valign="top" align="left">Dofetilide</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">O</td>
<td valign="top" align="center">O</td>
</tr>
<tr>
<td valign="top" align="left">Bepridil</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
</tr>
<tr>
<td valign="top" align="left">Cisapride</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">O</td>
</tr>
<tr>
<td valign="top" align="left">Verapamil</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
</tr>
<tr>
<td valign="top" align="left">Ranolazine</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">O</td>
</tr>
<tr>
<td valign="top" align="left">Mexiletine</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
</tr>
<tr>
<td valign="top" align="left">Diltiazem</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
<td valign="top" align="center">X</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>To test the suitability of the models to examine JT<sub>peak</sub>, we checked the rate dependence of JT<sub>peak</sub> using various models without any drug effect. All the models showed decreasing JT<sub>peak</sub> as heart rate increased with the model of <xref ref-type="bibr" rid="B7">Dutta et al. (2017)</xref> exhibiting the best agreement with clinical data (<xref ref-type="bibr" rid="B11">Johannesen et al., 2014</xref>; <xref ref-type="fig" rid="F7">Figure 7</xref>). We also validated intercellular conduction by comparing activation times obtained from our ventricular model with those in the literature (<xref ref-type="supplementary-material" rid="TS2">Supplementary Figure S1</xref>).</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption><p>Rate dependence of JTpeak. JTpeak was obtained for different heart rates with different cell models. Simulation results were compared with clinical data by <xref ref-type="bibr" rid="B11">Johannesen et al. (2014)</xref>.</p></caption>
<graphic xlink:href="fphys-10-01139-g007.tif"/>
</fig>
</sec>
</sec>
<sec><title>Discussion</title>
<p>In evaluations of drug safety, the QT interval in ECGs has received much attention because drug-induced prolongation of the QT interval is, under certain conditions, associated with the risk of TdP, a fatal ventricular arrhythmia. However, prolongation of the QT interval does not always lead to TdP. The recently proposed CiPA initiative aims to enable more comprehensive evaluation of drug safety (<xref ref-type="bibr" rid="B30">Vicente et al., 2018</xref>; <xref ref-type="bibr" rid="B31">Wallis et al., 2018</xref>). In this study, we examined the effects of seven drugs on the QT interval using a realistic <italic>in silico</italic> 3D body-surface ECG model that included the ventricles and torso. Among the seven drugs, dofetilide resulted in the greatest increase in the QT interval, which is consistent with published data (<xref ref-type="bibr" rid="B29">Vicente et al., 2015</xref>). Dofetilide use entails a relatively high risk of TdP (<xref ref-type="bibr" rid="B27">Tisdale, 2016</xref>). However, the occurrence of TdP requires not only prolongation of the QT interval, but also early afterdepolarization (EAD) and TDR (<xref ref-type="bibr" rid="B1">Antzelevitch et al., 2004</xref>). In this study, dofetilide also exhibited the highest TDR values (<xref ref-type="fig" rid="F2">Figure 2</xref> and <xref ref-type="table" rid="T4">Table 4</xref>). In addition, dofetilide does not block the <italic>I</italic><sub>NaL</sub> and <italic>I</italic><sub>CaL</sub> channels (<xref ref-type="table" rid="T2">Table 2</xref>), which increases the probability of EAD. The increases in APD<sub>90</sub> caused by ranolazine and verapamil were smaller than those induced by dofetilide, which resulted in smaller increases in the QT interval in the 3D ECG simulation. Ranolazine blocks <italic>I</italic><sub>NaL</sub> channels almost as effectively as <italic>I</italic><sub>Kr</sub> channels (<xref ref-type="table" rid="T2">Table 2</xref>) and entails a low risk of TdP because blockade of <italic>I</italic><sub>NaL</sub> channels decreases the risk of EAD (<xref ref-type="bibr" rid="B9">Hawwa and Menon, 2013</xref>). Interestingly, for ranolazine, the magnitude of the increase in the APD<sub>90</sub> was similar in endocardial and M cells, whereas for verapamil it was similar in M and epicardial cells, at 1&#x00D7; Cmax (<xref ref-type="table" rid="T3">Table 3</xref>). Dofetilide induced the greatest increase in the APD<sub>90</sub> of M cells; most QT interval-prolonging drugs increase the APD of M cells preferentially, thereby increasing the TDR value (<xref ref-type="bibr" rid="B1">Antzelevitch et al., 2004</xref>). Verapamil did not affect the TDR at a Cmax of 1&#x00D7; and decreased it at 10&#x00D7; Cmax, consistent with the low risk of TdP associated with its use (<xref ref-type="bibr" rid="B17">Milberg et al., 2005</xref>).</p>
<p>In this study, the increases in JT<sub>peakC</sub> were similar to those in QTc, in contrast to the finding of <xref ref-type="bibr" rid="B29">Vicente et al. (2015)</xref> that the JT<sub>peakC</sub> is not increased by ranolazine or verapamil at a Cmax value of 1&#x00D7;. T<sub>peak</sub> corresponds to the time of epicardial repolarization, and most drugs that increase the epicardial APD also increase the JT<sub>peakC</sub> because of delayed epicardial layer repolarization. Ranolazine and verapamil increased the epicardial APD and the JT<sub>peakC</sub> in our simulation. Thus, the discrepancy in the JT<sub>peakC</sub> interval between our simulated results and human ECGs performed after administration of verapamil or ranolazine implies that the 3D model needs further improvement. In order to make the model accurately predict the prolongations of JT<sub>peak</sub> and T<sub>peak</sub>&#x2013;T<sub>end</sub>, the improvement of the cell models seems to be needed. If epicardial APD remains the same, and endocardial APD increases under the effects of a drug, JTpeak should remain the same, and T<sub>peak</sub>&#x2013;T<sub>end</sub> should increase, which is expected in the cases of safe drugs. The current cell models do not exhibit these behaviors of APD changes under the effects of safe drugs, which disqualifies the current model as a biomarker. EAD was also observed in our simulated AP for ranolazine at a Cmax value of 10&#x00D7;, but not 5&#x00D7;. This result may reflect a limitation of the <italic>in vitro</italic> data-based simulation, in which the role of metabolites was not considered. However, simulation at a Cmax value of 10&#x00D7; was not recommended by the CiPA because of excessive variability in the values of the markers at higher concentrations (<xref ref-type="bibr" rid="B14">Li et al., 2019</xref>). Thus, the ventricular tachycardia induced by dofetilide (but not by verapamil or ranolazine) at 5&#x00D7; Cmax may have potential as an <italic>in silico</italic> biomarker for screening of the TdP risks posed by candidate molecules.</p>
<p>Although validation is needed to improve the predictive capability of the model, this study demonstrated the possibility of the model to become an effective biomarker to examine the effects of drugs on body-surface ECG parameters using realistic 3D models of the ventricles and torso. This step could lead to our ultimate goal of creating a comprehensive <italic>in silico</italic> drug-safety testing system.</p>
<p>This study also has several limitations. First, in the human ventricular model, we had difficulty in defining the spatial distribution of the sandwiched midcardial cell layer between the endocardial and epicardial cells. The distribution was adopted from the scheme presented in <xref ref-type="bibr" rid="B28">Trudel et al. (2004)</xref>. Second, in the model of the ventricles and torso, we did not consider the lungs and other tissues between the body surface and the heart when solving for the body surface potentials. The bone located between the heart and body surface might influence ECG data due to its much higher electrical impedance than that of body fluids. We did not consider the effect of this bone in the ECG algorithm. In a future study, the electrical impedance of bone will be considered. Similarly, the effects of non-homogeneous properties of extracellular tissue should be incorporated into the heart model. However, we believe that these limitations did not greatly affect the major findings of this study.</p>
</sec>
<sec><title>Data Availability</title>
<p>The datasets generated for this study are available on request to the corresponding author.</p>
</sec>
<sec><title>Author CONTRIBUTIONS</title>
<p>D-SY and ES provided the main idea for this research. MH, SH, and MP obtained and analyzed the data. MH wrote the initial draft of the manuscript. D-SY and ES edited the manuscript. CL provided advice on physiological issues and contributed to the toxicity test protocol. All authors reviewed the manuscript.</p>
</sec>
<sec><title>Conflict of Interest Statement</title>
<p>MH is employed by SiliconSapiens Inc. (Seoul, South Korea). The remaining 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>
</body>
<back>
<fn-group>
<fn fn-type="financial-disclosure">
<p><bold>Funding.</bold> This research was supported by a grant (18182MFDS406) from the Ministry of Food and Drug Safety of Korea in 2018.</p>
</fn>
</fn-group>
<sec sec-type="supplementary material"><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/fphys.2019.01139/full#supplementary-material">https://www.frontiersin.org/articles/10.3389/fphys.2019.01139/full#supplementary-material</ext-link></p>
<supplementary-material xlink:href="Table_1.xlsx" id="TS1" mimetype="application/vnd.openxmlformats-officedocument.spreadsheetml.sheet" xmlns:xlink="http://www.w3.org/1999/xlink"/>
<supplementary-material xlink:href="Table_2.DOCX" id="TS2" mimetype="application/vnd.openxmlformats-officedocument.wordprocessingml.document" xmlns:xlink="http://www.w3.org/1999/xlink"/>
</sec>
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</ref-list><glossary>
<title>Abbreviations</title>
<def-list id="DL1">
<def-item><term>AP</term><def><p>action potential</p></def></def-item>
<def-item><term>CT</term><def><p>computed tomography</p></def></def-item>
<def-item><term>EAD</term><def><p>early afterdepolarization</p></def></def-item>
<def-item><term>ECG</term><def><p>electrocardiogram</p></def></def-item>
<def-item><term>ORd</term><def><p>O&#x2019;Hara-Rudy dynamic</p></def></def-item>
<def-item><term>TdP</term><def><p>Torsades de pointes</p></def></def-item>
<def-item><term>TDR</term><def><p>transmural dispersion of repolarization.</p></def></def-item>
</def-list>
</glossary>
</back>
</article>