{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,27]],"date-time":"2026-02-27T06:07:09Z","timestamp":1772172429706,"version":"3.50.1"},"update-to":[{"DOI":"10.1371\/journal.pcbi.1007232","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2020,3,6]],"date-time":"2020-03-06T00:00:00Z","timestamp":1583452800000}}],"reference-count":42,"publisher":"Public Library of Science (PLoS)","issue":"2","license":[{"start":{"date-parts":[[2020,2,25]],"date-time":"2020-02-25T00:00:00Z","timestamp":1582588800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"FONDECYT","award":["1180832"],"award-info":[{"award-number":["1180832"]}]},{"name":"Nucleus Millenium Cardiovascular Magnetic Resonance","award":["0"],"award-info":[{"award-number":["0"]}]},{"DOI":"10.13039\/501100006769","name":"Russian Science Foundation","doi-asserted-by":"crossref","award":["19-11-0003"],"award-info":[{"award-number":["19-11-0003"]}],"id":[{"id":"10.13039\/501100006769","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["www.ploscompbiol.org"],"crossmark-restriction":false},"short-container-title":["PLoS Comput Biol"],"DOI":"10.1371\/journal.pcbi.1007232","type":"journal-article","created":{"date-parts":[[2020,2,25]],"date-time":"2020-02-25T13:53:13Z","timestamp":1582638793000},"page":"e1007232","update-policy":"https:\/\/doi.org\/10.1371\/journal.pcbi.corrections_policy","source":"Crossref","is-referenced-by-count":10,"title":["Non-ohmic tissue conduction in cardiac electrophysiology: Upscaling the non-linear voltage-dependent conductance of gap junctions"],"prefix":"10.1371","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6261-9106","authenticated-orcid":true,"given":"Daniel E.","family":"Hurtado","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7002-7167","authenticated-orcid":true,"given":"Javiera","family":"Jilberto","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Grigory","family":"Panasenko","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"340","published-online":{"date-parts":[[2020,2,25]]},"reference":[{"issue":"8","key":"pcbi.1007232.ref001","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1161\/01.RES.83.8.781","article-title":"Slow Conduction in Cardiac Tissue, I: Effects of a Reduction of Excitability Versus a Reduction of Electrical Coupling on Microconduction","volume":"83","author":"S Rohr","year":"1998","journal-title":"Circulation Research"},{"issue":"2","key":"pcbi.1007232.ref002","doi-asserted-by":"crossref","first-page":"368","DOI":"10.1016\/j.cardiores.2003.12.007","article-title":"Gap junction alterations in human cardiac disease","volume":"62","author":"NJ Severs","year":"2004","journal-title":"Cardiovascular Research"},{"key":"pcbi.1007232.ref003","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1007\/s00424-004-1250-0","article-title":"Cardiac connexins Cx43 and Cx45: formation of diverse gap junction channels with diverse electrical properties","volume":"448","author":"T Desplantez","year":"2004","journal-title":"Pflugers Archiv: European journal of physiology"},{"issue":"5","key":"pcbi.1007232.ref004","doi-asserted-by":"crossref","first-page":"914","DOI":"10.1161\/01.RES.73.5.914","article-title":"Microscopic Conduction in Cultured Strands of Neonatal Rat Heart Cells Measured With Voltage-Sensitive Dyes","volume":"73","author":"VG Fast","year":"1993","journal-title":"Circulation Research"},{"issue":"4","key":"pcbi.1007232.ref005","doi-asserted-by":"crossref","first-page":"2112","DOI":"10.1016\/S0006-3495(01)75859-6","article-title":"Influence of dynamic gap junction resistance on impulse propagation in ventricular myocardium: A computer simulation study","volume":"81","author":"AP Henriquez","year":"2001","journal-title":"Biophysical Journal"},{"issue":"5560","key":"pcbi.1007232.ref006","doi-asserted-by":"crossref","first-page":"1678","DOI":"10.1126\/science.1069881","article-title":"Modeling the heart\u2014From genes to cells to the whole organ","volume":"295","author":"D Noble","year":"2002","journal-title":"Science"},{"issue":"3","key":"pcbi.1007232.ref007","doi-asserted-by":"crossref","first-page":"219","DOI":"10.1016\/S0022-0736(87)80019-5","article-title":"Mathematical modeling of electrical activity of the heart","volume":"20","author":"R Plonsey","year":"1987","journal-title":"Journal of Electrocardiology"},{"key":"pcbi.1007232.ref008","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1016\/j.cma.2015.11.014","article-title":"Computational modeling of non-linear diffusion in cardiac electrophysiology: A novel porous-medium approach","volume":"300","author":"DE Hurtado","year":"2016","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"pcbi.1007232.ref009","unstructured":"Tung LA. Bidomain model for describing ischemic myocardial D-C potential. Massachusetts Institute of Technology; 1978."},{"key":"pcbi.1007232.ref010","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-319-04801-7","volume-title":"Mathematical Cardiac Electrophysiology","author":"P Colli Franzone","year":"2014"},{"issue":"2","key":"pcbi.1007232.ref011","first-page":"137","article-title":"Homogenization of syncytial tissues","volume":"21","author":"JC Neu","year":"1993","journal-title":"Critical Reviews in Biomedical Engineering"},{"issue":"7","key":"pcbi.1007232.ref012","doi-asserted-by":"crossref","first-page":"1707","DOI":"10.1007\/s11538-009-9421-y","article-title":"Deriving macroscopic myocardial conductivities by homogenization of microscopic models","volume":"71","author":"PE Hand","year":"2009","journal-title":"Bulletin of Mathematical Biology"},{"issue":"6","key":"pcbi.1007232.ref013","doi-asserted-by":"crossref","first-page":"1408","DOI":"10.1007\/s11538-009-9499-2","article-title":"Homogenization of an electrophysiological model for a strand of cardiac myocytes with gap-junctional and electric-field coupling","volume":"72","author":"PE Hand","year":"2010","journal-title":"Bulletin of Mathematical Biology"},{"issue":"4","key":"pcbi.1007232.ref014","doi-asserted-by":"crossref","first-page":"1333","DOI":"10.1137\/040615249","article-title":"Multiscale modeling for the electrical activity of the heart","volume":"37","author":"M Pennacchio","year":"2006","journal-title":"SIAM J Math Anal"},{"issue":"2","key":"pcbi.1007232.ref015","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1007\/s11538-013-9927-1","article-title":"Modelling the Effect of Gap Junctions on Tissue-Level Cardiac Electrophysiology","volume":"76","author":"D Bruce","year":"2014","journal-title":"Bulletin of Mathematical Biology"},{"issue":"4","key":"pcbi.1007232.ref016","first-page":"765","article-title":"Mind the Gap: A semicontinuum model for discrete electrical propagation in cardiac tissue","volume":"63","author":"CM Costa","year":"2016","journal-title":"IEEE Transactions on Biomedical Engineering"},{"key":"pcbi.1007232.ref017","doi-asserted-by":"crossref","first-page":"20140352","DOI":"10.1098\/rsif.2014.0352","article-title":"Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarizati","volume":"11","author":"A Bueno-Orovio","year":"2014","journal-title":"Journal of the Royal Society, Interface"},{"issue":"February","key":"pcbi.1007232.ref018","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1016\/j.jcp.2018.02.034","article-title":"A space-fractional Monodomain model for cardiac electrophysiology combining anisotropy and heterogeneity on realistic geometries","volume":"362","author":"N Cusimano","year":"2018","journal-title":"Journal of Computational Physics"},{"key":"pcbi.1007232.ref019","doi-asserted-by":"crossref","first-page":"221","DOI":"10.1016\/j.jtbi.2017.07.013","article-title":"A note on stress-driven anisotropic diffusion and its role in active deformable media","volume":"430","author":"C Cherubini","year":"2017","journal-title":"Journal of Theoretical Biology"},{"key":"pcbi.1007232.ref020","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.cma.2014.02.002","article-title":"Gradient flows and variational principles for cardiac electrophysiology: Toward efficient and robust numerical simulations of the electrical activity of the heart","volume":"273","author":"DE Hurtado","year":"2014","journal-title":"Computer Methods in Applied Mechanics and Engineering"},{"key":"pcbi.1007232.ref021","volume-title":"The FEniCS Book","author":"A Logg","year":"2012"},{"issue":"3-4","key":"pcbi.1007232.ref022","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/BF02363285","article-title":"Intercalated discs as a cause for discontinuous propagation in cardiac muscle: A theoretical simulation","volume":"11","author":"PJ Diaz","year":"1983","journal-title":"Annals of Biomedical Engineering"},{"issue":"4","key":"pcbi.1007232.ref023","doi-asserted-by":"crossref","first-page":"942","DOI":"10.1016\/S0006-3495(92)81664-8","article-title":"Limitations of the dual voltage clamp method in assaying conductance and kinetics of gap junction channels","volume":"63","author":"R Wilders","year":"1992","journal-title":"Biophysical Journal"},{"issue":"12","key":"pcbi.1007232.ref024","doi-asserted-by":"crossref","first-page":"1176","DOI":"10.1161\/01.RES.0000046237.54156.0A","article-title":"Localization of sodium channels in intercalated disks modulates cardiac conduction","volume":"91","author":"JP Kucera","year":"2002","journal-title":"Circulation Research"},{"issue":"6","key":"pcbi.1007232.ref025","doi-asserted-by":"crossref","first-page":"1501","DOI":"10.1161\/01.RES.68.6.1501","article-title":"A Model of the Ventricular Cardiac Action Potential","volume":"68","author":"CH Luo","year":"1991","journal-title":"Circulation Research"},{"issue":"5","key":"pcbi.1007232.ref026","doi-asserted-by":"crossref","first-page":"727","DOI":"10.1161\/01.RES.81.5.727","article-title":"Ionic mechanisms of propagation in cardiac tissue: Roles of the sodium and L-type calcium currents during reduced excitability and decreased gap junction coupling","volume":"81","author":"RM Shaw","year":"1997","journal-title":"Circulation Research"},{"key":"pcbi.1007232.ref027","doi-asserted-by":"crossref","first-page":"093908","DOI":"10.1063\/1.4999602","article-title":"Ephaptic coupling rescues conduction failure in weakly coupled cardiac tissue with voltage-gated gap junctions","volume":"27","author":"SH Weinberg","year":"2017","journal-title":"Chaos"},{"issue":"1","key":"pcbi.1007232.ref028","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1111\/j.1469-7793.1998.177bz.x","article-title":"Mathematical model of vertebrate gap junctions derived from electrical measurements on homotypic and heterotypic channels","volume":"510","author":"R Vogel","year":"1998","journal-title":"Journal of Physiology"},{"issue":"January","key":"pcbi.1007232.ref029","doi-asserted-by":"crossref","first-page":"95","DOI":"10.1085\/jgp.77.1.95","article-title":"Kinetic properties of a voltage-dependent junctional conductance","volume":"77","author":"AL Harris","year":"1981","journal-title":"The Journal of general physiology"},{"issue":"9","key":"pcbi.1007232.ref030","doi-asserted-by":"crossref","DOI":"10.1063\/1.4999610","article-title":"Nonlinear diffusion and thermo-electric coupling in a two-variable model of cardiac action potential","volume":"27","author":"A Gizzi","year":"2017","journal-title":"Chaos"},{"issue":"3","key":"pcbi.1007232.ref031","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1038\/nrn1627","article-title":"Expression and functions of neuronal gap junctions","volume":"6","author":"G S\u00f6hl","year":"2005","journal-title":"Nature Reviews Neuroscience"},{"issue":"33","key":"pcbi.1007232.ref032","doi-asserted-by":"crossref","first-page":"14603","DOI":"10.1073\/pnas.1008443107","article-title":"Adaptive multiscale model for simulating cardiac conduction","volume":"107","author":"PE Hand","year":"2010","journal-title":"Proceedings of the National Academy of Sciences"},{"issue":"10","key":"pcbi.1007232.ref033","doi-asserted-by":"crossref","first-page":"732","DOI":"10.1038\/s41551-018-0282-2","article-title":"Personalized virtual-heart technology for guiding the ablation of infarct-related ventricular tachycardia","volume":"2","author":"A Prakosa","year":"2018","journal-title":"Nature Biomedical Engineering"},{"issue":"6","key":"pcbi.1007232.ref034","first-page":"1208","article-title":"Relationship between gap-junctional conductance and conduction velocity in mammalian myocardium","volume":"6","author":"PS Dhillon","year":"2013","journal-title":"Circulation: Arrhythmia and Electrophysiology"},{"key":"pcbi.1007232.ref035","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1016\/j.ijcha.2015.10.003","article-title":"Conduction abnormalities and ventricular arrhythmogenesis: The roles of sodium channels and gap junctions","volume":"9","author":"G Tse","year":"2015","journal-title":"IJC Heart and Vasculature"},{"issue":"1-3","key":"pcbi.1007232.ref036","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1007\/s00232-007-9046-8","article-title":"Gap junction channels and cardiac impulse propagation","volume":"218","author":"T Desplantez","year":"2007","journal-title":"Journal of Membrane Biology"},{"issue":"1","key":"pcbi.1007232.ref037","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/S0008-6363(01)00364-9","article-title":"Electrophysiological features of the mouse sinoatrial node in relation to connexin distribution","volume":"52","author":"EE Verheijck","year":"2001","journal-title":"Cardiovascular Research"},{"key":"pcbi.1007232.ref038","doi-asserted-by":"crossref","first-page":"1243","DOI":"10.1002\/cnm.2573","article-title":"Numerical quadrature and operator splitting in finite element methods for cardiac electrophysiology","volume":"29","author":"S Krishnamoorthi","year":"2013","journal-title":"International Journal for Numerical Methods in Biomedical Engineering"},{"key":"pcbi.1007232.ref039","article-title":"Space-discretization error analysis and stabilization schemes for conduction velocity in cardiac electrophysiology","author":"S Pezzuto","year":"2016","journal-title":"International Journal for Numerical Methods in Biomedical Engineering"},{"issue":"4","key":"pcbi.1007232.ref040","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1007\/s00466-017-1473-5","article-title":"Non-conforming finite-element formulation for cardiac electrophysiology: an effective approach to reduce the computation time of heart simulations without compromising accuracy","volume":"61","author":"DE Hurtado","year":"2018","journal-title":"Computational Mechanics"},{"issue":"1513","key":"pcbi.1007232.ref041","first-page":"1","article-title":"Semi-implicit Non-conforming Finite-Element Schemes for Cardiac Electrophysiology: A Framework for Mesh-Coarsening Heart Simulations","volume":"9","author":"J Jilberto","year":"2018","journal-title":"Frontiers in Physiology"},{"issue":"5","key":"pcbi.1007232.ref042","doi-asserted-by":"crossref","first-page":"e1007042","DOI":"10.1371\/journal.pcbi.1007042","article-title":"Properties of cardiac conduction in a cell-based computational model","volume":"15","author":"K Horgmo J\u00e6ger","year":"2019","journal-title":"PLoS Computational Biology"}],"updated-by":[{"DOI":"10.1371\/journal.pcbi.1007232","type":"new_version","label":"New version","source":"publisher","updated":{"date-parts":[[2020,3,6]],"date-time":"2020-03-06T00:00:00Z","timestamp":1583452800000}}],"container-title":["PLOS Computational Biology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1007232","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,3,6]],"date-time":"2020-03-06T13:34:49Z","timestamp":1583501689000},"score":1,"resource":{"primary":{"URL":"https:\/\/dx.plos.org\/10.1371\/journal.pcbi.1007232"}},"subtitle":[],"editor":[{"given":"Aslak","family":"Tveito","sequence":"first","affiliation":[],"role":[{"role":"editor","vocabulary":"crossref"}]}],"short-title":[],"issued":{"date-parts":[[2020,2,25]]},"references-count":42,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2020,2,25]]}},"URL":"https:\/\/doi.org\/10.1371\/journal.pcbi.1007232","relation":{"has-preprint":[{"id-type":"doi","id":"10.1101\/690255","asserted-by":"object"}]},"ISSN":["1553-7358"],"issn-type":[{"value":"1553-7358","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,2,25]]}}}