A human ventricular myocyte model with a refined representation of excitation-contraction coupling.

Cardiac Ca(2+)-induced Ca(2+) release (CICR) occurs by a regenerative activation of ryanodine receptors (RyRs) within each Ca(2+)-releasing unit, triggered by the activation of L-type Ca(2+) channels (LCCs). CICR is then terminated, most probably by depletion of Ca(2+) in the junctional sarcoplasmic reticulum (SR). Hinch et al. previously developed a tightly coupled LCC-RyR mathematical model, known as the Hinch model, that enables simulations to deal with a variety of functional states of whole-cell populations of a Ca(2+)-releasing unit using a personal computer. In this study, we developed a membrane excitation-contraction model of the human ventricular myocyte, which we call the human ventricular cell (HuVEC) model. This model is a hybrid of the most recent HuVEC models and the Hinch model. We modified the Hinch model to reproduce the regenerative activation and termination of CICR. In particular, we removed the inactivated RyR state and separated the single step of RyR activation by LCCs into triggering and regenerative steps. More importantly, we included the experimental measurement of a transient rise in Ca(2+) concentrations ([Ca(2+)], 10-15 μM) during CICR in the vicinity of Ca(2+)-releasing sites, and thereby calculated the effects of the local Ca(2+) gradient on CICR as well as membrane excitation. This HuVEC model successfully reconstructed both membrane excitation and key properties of CICR. The time course of CICR evoked by an action potential was accounted for by autonomous changes in an instantaneous equilibrium open probability of couplons. This autonomous time course was driven by a core feedback loop including the pivotal local [Ca(2+)], influenced by a time-dependent decay in the SR Ca(2+) content during CICR.

[1]  F. Charpentier,et al.  Electrophysiologic characteristics of cells spanning the left ventricular wall of human heart: evidence for presence of M cells. , 1995, Journal of the American College of Cardiology.

[2]  Christopher R. Weber,et al.  Cardiac Submembrane [Na+] Transients Sensed by Na+-Ca2+ Exchange Current , 2003, Circulation research.

[3]  Clara Franzini-Armstrong,et al.  Ca2+ blinks: rapid nanoscopic store calcium signaling. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[4]  László Virág,et al.  Restricting Excessive Cardiac Action Potential and QT Prolongation: A Vital Role for IKs in Human Ventricular Muscle , 2005, Circulation.

[5]  D. Renlund,et al.  Method for isolation of human ventricular myocytes from single endocardial and epicardial biopsies. , 1995, The American journal of physiology.

[6]  R. Winslow,et al.  An integrative model of the cardiac ventricular myocyte incorporating local control of Ca2+ release. , 2002, Biophysical journal.

[7]  S Nattel,et al.  Transmembrane ICa contributes to rate-dependent changes of action potentials in human ventricular myocytes. , 1999, The American journal of physiology.

[8]  M. Morad,et al.  Ca2(+)-induced Ca2+ release as examined by photolysis of caged Ca2+ in single ventricular myocytes. , 1990, The American journal of physiology.

[9]  B. Rigler,et al.  L-type calcium current in human ventricular myocytes at a physiological temperature from children with tetralogy of Fallot. , 1998, Cardiovascular research.

[10]  C W Balke,et al.  Local control of excitation‐contraction coupling in rat heart cells. , 1994, The Journal of physiology.

[11]  W. Lederer,et al.  Quarky Calcium Release in the Heart , 2011, Circulation research.

[12]  M. Carrier,et al.  Transmural heterogeneity of action potentials and I to1 in myocytes isolated from the human right ventricle. , 1998, American journal of physiology. Heart and circulatory physiology.

[13]  H. Matsuda Sodium conductance in calcium channels of guinea-pig ventricular cells induced by removal of external calcium ions , 1986, Pflügers Archiv.

[14]  D H Singer,et al.  Sodium current in isolated human ventricular myocytes. , 1993, The American journal of physiology.

[15]  P. Dan,et al.  Distribution of proteins implicated in excitation-contraction coupling in rat ventricular myocytes. , 2000, Biophysical journal.

[16]  U Ravens,et al.  L-type calcium currents of human myocytes from ventricle of non-failing and failing hearts and from atrium. , 1994, Journal of molecular and cellular cardiology.

[17]  J. Magyar,et al.  Effects of endothelin-1 on calcium and potassium currents in undiseased human ventricular myocytes , 2000, Pflügers Archiv.

[18]  R. Hinch,et al.  A mathematical analysis of the generation and termination of calcium sparks. , 2004, Biophysical journal.

[19]  H. Irisawa,et al.  Effects of various intracellular Ca ion concentrations on the calcium current of guinea-pig single ventricular cells. , 1984, The Japanese journal of physiology.

[20]  Donald M. Bers,et al.  Termination of Cardiac Ca2+ Sparks: Role of Intra-SR [Ca2+], Release Flux, and Intra-SR Ca2+ Diffusion , 2008, Circulation research.

[21]  R. Tsien,et al.  Molecular determinants of voltage-dependent inactivation in calcium channels , 1994, Nature.

[22]  M. Cannell,et al.  Termination of calcium-induced calcium release by induction decay: an emergent property of stochastic channel gating and molecular scale architecture. , 2013, Journal of molecular and cellular cardiology.

[23]  A. Noma,et al.  EAD and DAD mechanisms analyzed by developing a new human ventricular cell model. , 2014, Progress in biophysics and molecular biology.

[24]  J. Marshall,et al.  Effect of Calcium on the Membrane Potentials of Single Pacemaker Fibres and Atrial Fibres in Isolated Rabbit Atria , 1964, Nature.

[25]  E. Neher,et al.  Fast calcium transients in rat peritoneal mast cells are not sufficient to trigger exocytosis. , 1986, The EMBO journal.

[26]  A. Zahradníková,et al.  Ryanodine Receptor Adaptation , 2000, The Journal of general physiology.

[27]  E. Crampin,et al.  A thermodynamic model of the cardiac sarcoplasmic/endoplasmic Ca(2+) (SERCA) pump. , 2009, Biophysical journal.

[28]  S Nattel,et al.  Evidence for two components of delayed rectifier K+ current in human ventricular myocytes. , 1996, Circulation research.

[29]  M. Stern,et al.  Life and death of a cardiac calcium spark , 2013, The Journal of General Physiology.

[30]  D. Gillespie,et al.  Ryanodine Receptor Current Amplitude Controls Ca2+ Sparks in Cardiac Muscle , 2012, Circulation research.

[31]  K. Sipido,et al.  Inhibition and rapid recovery of Ca2+ current during Ca2+ release from sarcoplasmic reticulum in guinea pig ventricular myocytes. , 1995, Circulation research.

[32]  Satoshi Matsuoka,et al.  Role of individual ionic current systems in ventricular cells hypothesized by a model study. , 2003, The Japanese journal of physiology.

[33]  Eric A Sobie,et al.  Termination of cardiac Ca(2+) sparks: an investigative mathematical model of calcium-induced calcium release. , 2002, Biophysical journal.

[34]  D. Noble,et al.  A model for human ventricular tissue. , 2004, American journal of physiology. Heart and circulatory physiology.

[35]  Donald M Bers,et al.  A mathematical treatment of integrated Ca dynamics within the ventricular myocyte. , 2004, Biophysical journal.

[36]  D. Escande,et al.  Differential expression of KvLQT1 isoforms across the human ventricular wall. , 2000, American journal of physiology. Heart and circulatory physiology.

[37]  W. Lederer,et al.  Calcium sparks: elementary events underlying excitation-contraction coupling in heart muscle. , 1993, Science.

[38]  A. Noma,et al.  Characterization of the cardiac Na+/K+ pump by development of a comprehensive and mechanistic model. , 2010, Journal of theoretical biology.

[39]  A. Tanskanen,et al.  A simplified local control model of calcium-induced calcium release in cardiac ventricular myocytes. , 2004, Biophysical journal.

[40]  Stephan E Lehnart,et al.  Modulation of the ryanodine receptor and intracellular calcium. , 2007, Annual review of biochemistry.

[41]  E. Ríos,et al.  Ca(2+)-dependent inactivation of cardiac L-type Ca2+ channels does not affect their voltage sensor , 1993, The Journal of general physiology.

[42]  K. Ishihara,et al.  Two Kir2.1 channel populations with different sensitivities to Mg2+ and polyamine block: a model for the cardiac strong inward rectifier K+ channel , 2005, The Journal of physiology.

[43]  G. Hasenfuss,et al.  Alterations in intracellular calcium handling associated with the inverse force-frequency relation in human dilated cardiomyopathy. , 1995, Circulation.

[44]  M. Morad,et al.  Cross-signaling between L-type Ca2+ channels and ryanodine receptors in rat ventricular myocytes , 1996, The Journal of general physiology.

[45]  N P Smith,et al.  Development of models of active ion transport for whole-cell modelling: cardiac sodium-potassium pump as a case study. , 2004, Progress in biophysics and molecular biology.

[46]  Masao Nishimura,et al.  Membrane currents in the rabbit atrioventricular node cell , 1982, Pflügers Archiv.

[47]  D. Beuckelmann,et al.  Simulation study of cellular electric properties in heart failure. , 1998, Circulation research.

[48]  E Erdmann,et al.  Intracellular Calcium Handling in Isolated Ventricular Myocytes From Patients With Terminal Heart Failure , 1992, Circulation.

[49]  David R L Scriven,et al.  Ca²⁺ channel and Na⁺/Ca²⁺ exchange localization in cardiac myocytes. , 2013, Journal of molecular and cellular cardiology.

[50]  B. Hille,et al.  Ionic channels of excitable membranes , 2001 .

[51]  Donald M. Bers,et al.  Na+-Ca2+ Exchange Current and Submembrane [Ca2+] During the Cardiac Action Potential , 2002, Circulation research.

[52]  Stanley Nattel,et al.  Ionic mechanisms limiting cardiac repolarization reserve in humans compared to dogs , 2013, The Journal of physiology.

[53]  S. Györke,et al.  Ryanodine receptor adaptation: control mechanism of Ca(2+)-induced Ca2+ release in heart. , 1993, Science.

[54]  A. Noma,et al.  Transient Depolarization and Spontaneous Voltage Fluctuations in Isolated Single Cells from Guinea Pig Ventricles: Calcium‐Mediated Membrane Potential Fluctuations , 1982, Circulation research.

[55]  Y. Rudy,et al.  Microdomain [Ca2+] near ryanodine receptors as reported by L‐type Ca2+ and Na+/Ca2+ exchange currents , 2011, The Journal of physiology.

[56]  G. Ellis‐Davies,et al.  Rapid adaptation of cardiac ryanodine receptors: modulation by Mg2+ and phosphorylation. , 1995, Science.

[57]  R. Vaughan-Jones,et al.  Na+ ions as spatial intracellular messengers for co-ordinating Ca2+ signals during pH heterogeneity in cardiomyocytes , 2014, Cardiovascular research.

[58]  M. Diaz,et al.  Comparison of subsarcolemmal and bulk calcium concentration during spontaneous calcium release in rat ventricular myocytes. , 1995, The Journal of physiology.

[59]  Heping Cheng,et al.  Putting out the fire: what terminates calcium-induced calcium release in cardiac muscle? , 2004, Cell calcium.

[60]  David T. Yue,et al.  Ca2+ channel nanodomains boost local Ca2+ amplitude , 2013, Proceedings of the National Academy of Sciences.

[61]  Eduardo Ríos,et al.  Ion-dependent Inactivation of Barium Current through L-type Calcium Channels , 1997, The Journal of general physiology.

[62]  Yoram Rudy,et al.  Simulation of the Undiseased Human Cardiac Ventricular Action Potential: Model Formulation and Experimental Validation , 2011, PLoS Comput. Biol..

[63]  Stefano Severi,et al.  Theoretical investigation of action potential duration dependence on extracellular Ca2+ in human cardiomyocytes. , 2009, Journal of molecular and cellular cardiology.

[64]  Y. Rudy,et al.  Data‐based theoretical identification of subcellular calcium compartments and estimation of calcium dynamics in cardiac myocytes , 2012, The Journal of physiology.

[65]  Pawel Swietach,et al.  Ca2+-mobility in the sarcoplasmic reticulum of ventricular myocytes is low. , 2008, Biophysical journal.

[66]  J. Clark,et al.  A model of the L‐type Ca2+ channel in rat ventricular myocytes: ion selectivity and inactivation mechanisms , 2000, The Journal of physiology.

[67]  D. Bers,et al.  A novel computational model of the human ventricular action potential and Ca transient. , 2010, Journal of Molecular and Cellular Cardiology.

[68]  R Lazzara,et al.  Similarities between early and delayed afterdepolarizations induced by isoproterenol in canine ventricular myocytes. , 1997, Cardiovascular research.

[69]  D. T. Yue,et al.  Critical determinants of Ca(2+)-dependent inactivation within an EF-hand motif of L-type Ca(2+) channels. , 2000, Biophysical journal.

[70]  A Varró,et al.  Delayed rectifier potassium current in undiseased human ventricular myocytes. , 1998, Cardiovascular research.

[71]  D. Terrar,et al.  Intact individual heart cells isolated from human ventricular tissue. , 1981, British medical journal.

[72]  K. Ishihara,et al.  Low‐affinity spermine block mediating outward currents through Kir2.1 and Kir2.2 inward rectifier potassium channels , 2007, The Journal of physiology.

[73]  M. Stern,et al.  Theory of excitation-contraction coupling in cardiac muscle. , 1992, Biophysical journal.

[74]  Jorge A Negroni,et al.  Simulation of steady state and transient cardiac muscle response experiments with a Huxley-based contraction model. , 2008, Journal of molecular and cellular cardiology.

[75]  Satoshi Matsuoka,et al.  Ionic Mechanisms of Cardiac Cell Swelling Induced by Blocking Na+/K+ Pump As Revealed by Experiments and Simulation , 2006, The Journal of general physiology.

[76]  W. Catterall,et al.  Cooperative regulation of Cav1.2 channels by intracellular Mg2+, the proximal C-terminal EF-hand, and the distal C-terminal domain , 2009, The Journal of general physiology.

[77]  Wei Chen,et al.  A mathematical model of spontaneous calcium release in cardiac myocytes. , 2011, American journal of physiology. Heart and circulatory physiology.

[78]  D. Bers,et al.  Surface:volume relationship in cardiac myocytes studied with confocal microscopy and membrane capacitance measurements: species-dependence and developmental effects. , 1996, Biophysical journal.

[79]  J A Negroni,et al.  A cardiac muscle model relating sarcomere dynamics to calcium kinetics. , 1996, Journal of molecular and cellular cardiology.

[80]  Joseph L Greenstein,et al.  Mechanisms of excitation-contraction coupling in an integrative model of the cardiac ventricular myocyte. , 2006, Biophysical journal.

[81]  D. T. Yue,et al.  Critical Determinants of Ca2+-Dependent Inactivation within an EF-Hand Motif of L-Type Ca2+ Channels , 2000 .

[82]  C. Valdivia,et al.  Drug‐induced long QT syndrome: hERG K+ channel block and disruption of protein trafficking by fluoxetine and norfluoxetine , 2006, British journal of pharmacology.

[83]  M. Cannell,et al.  Local control in cardiac E-C coupling. , 2012, Journal of molecular and cellular cardiology.

[84]  P. Volpe,et al.  Ryanodine receptor luminal Ca2+ regulation: swapping calsequestrin and channel isoforms. , 2009, Biophysical journal.

[85]  Alexander V Panfilov,et al.  Comparison of electrophysiological models for human ventricular cells and tissues. , 2006, Progress in biophysics and molecular biology.

[86]  E. Marbán,et al.  Permeation in the dihydropyridine-sensitive calcium channel. Multi-ion occupancy but no anomalous mole-fraction effect between Ba2+ and Ca2+ , 1990, The Journal of general physiology.

[87]  Donald M Bers,et al.  Dynamic Calcium Movement Inside Cardiac Sarcoplasmic Reticulum During Release , 2011, Circulation research.

[88]  M. Stern,et al.  Buffering of calcium in the vicinity of a channel pore. , 1992, Cell calcium.

[89]  K E Muffly,et al.  Structural Remodeling of Cardiac Myocytes in Patients With Ischemic Cardiomyopathy , 1992, Circulation.

[90]  A Varró,et al.  Reopening of L-type calcium channels in human ventricular myocytes during applied epicardial action potentials. , 2004, Acta physiologica Scandinavica.

[91]  StanleyNattel,et al.  Evidence for Two Components of Delayed Rectifier K+ Current in Human Ventricular Myocytes , 1996 .

[92]  Eric A Sobie,et al.  A probability density approach to modeling local control of calcium-induced calcium release in cardiac myocytes. , 2007, Biophysical journal.