A mathematical model of the murine ventricular myocyte: a data-driven biophysically based approach applied to mice overexpressing the canine NCX isoform.

Mathematical modeling of Ca(2+) dynamics in the heart has the potential to provide an integrated understanding of Ca(2+)-handling mechanisms. However, many previous published models used heterogeneous experimental data sources from a variety of animals and temperatures to characterize model parameters and motivate model equations. This methodology limits the direct comparison of these models with any particular experimental data set. To directly address this issue, in this study, we present a biophysically based model of Ca(2+) dynamics directly fitted to experimental data collected in left ventricular myocytes isolated from the C57BL/6 mouse, the most commonly used genetic background for genetically modified mice in studies of heart diseases. This Ca(2+) dynamics model was then integrated into an existing mouse cardiac electrophysiology model, which was reparameterized using experimental data recorded at consistent and physiological temperatures. The model was validated against the experimentally observed frequency response of Ca(2+) dynamics, action potential shape, dependence of action potential duration on cycle length, and electrical restitution. Using this framework, the implications of cardiac Na(+)/Ca(2+) exchanger (NCX) overexpression in transgenic mice were investigated. These simulations showed that heterozygous overexpression of the canine cardiac NCX increases intracellular Ca(2+) concentration transient magnitude and sarcoplasmic reticulum Ca(2+) loading, in agreement with experimental observations, whereas acute overexpression of the murine cardiac NCX results in a significant loss of Ca(2+) from the cell and, hence, depressed sarcoplasmic reticulum Ca(2+) load and intracellular Ca(2+) concentration transient magnitude. From this analysis, we conclude that these differences are primarily due to the presence of allosteric regulation in the canine cardiac NCX, which has not been observed experimentally in the wild-type mouse heart.

[1]  Tong Zhang,et al.  Transgenic CaMKII&dgr;C Overexpression Uniquely Alters Cardiac Myocyte Ca2+ Handling: Reduced SR Ca2+ Load and Activated SR Ca2+ Release , 2003, Circulation research.

[2]  H. Schunkert,et al.  Functional Expression and Inactivation of L-type Ca2+ Currents During Murine Heart Development -Implications for Cardiac Ca2+ Homeostasis , 2007, Cellular Physiology and Biochemistry.

[3]  J. Nerbonne,et al.  Functional consequences of elimination of i(to,f) and i(to,s): early afterdepolarizations, atrioventricular block, and ventricular arrhythmias in mice lacking Kv1.4 and expressing a dominant-negative Kv4 alpha subunit. , 2000, Circulation research.

[4]  R. Schwinger,et al.  Na(+)--Ca2+ exchange in the regulation of cardiac excitation-contraction coupling. , 2005, Cardiovascular research.

[5]  N. Weissman,et al.  Remodelling of ionic currents in hypertrophied and failing hearts of transgenic mice overexpressing calsequestrin , 2000, The Journal of physiology.

[6]  K. Philipson,et al.  Mice overexpressing the cardiac sodium‐calcium exchanger: defects in excitation–contraction coupling , 2004, The Journal of physiology.

[7]  L. Brunton,et al.  Excitation-contraction coupling and cardiac contractile force , 1992 .

[8]  M. Diaz,et al.  A novel, rapid and reversible method to measure Ca buffering and time-course of total sarcoplasmic reticulum Ca content in cardiac ventricular myocytes , 1999, Pflügers Archiv.

[9]  V. Shusterman,et al.  Targeted Replacement of Kv1.5 in the Mouse Leads to Loss of the 4-Aminopyridine-Sensitive Component of IK,slow and Resistance to Drug-Induced QT Prolongation , 2001, Circulation research.

[10]  R. Waugh,et al.  Comparative stereology of mouse atria. , 1981, Tissue & cell.

[11]  B. London,et al.  Characterization of a slowly inactivating outward current in adult mouse ventricular myocytes. , 1998, Circulation research.

[12]  G. Salama,et al.  Enhanced dispersion of repolarization and refractoriness in transgenic mouse hearts promotes reentrant ventricular tachycardia. , 2000, Circulation research.

[13]  K. Philipson,et al.  Na+−Ca2+ exchange and sarcoplasmic reticular Ca2+ regulation in ventricular myocytes from transgenic mice overexpressing the Na+−Ca2+ exchanger , 1998, The Journal of physiology.

[14]  H. Duff,et al.  Selective Knockout of Mouse ERG1 B Potassium Channel Eliminates IKr in Adult Ventricular Myocytes and Elicits Episodes of Abrupt Sinus Bradycardia , 2003, Molecular and Cellular Biology.

[15]  N. Narayanan,et al.  Phosphorylation and activation of the Ca(2+)-pumping ATPase of cardiac sarcoplasmic reticulum by Ca2+/calmodulin-dependent protein kinase. , 1993, The Journal of biological chemistry.

[16]  K. Benndorf,et al.  Accelerated Inactivation of Voltage‐Dependent K+ Outward Current in Cardiomyocytes from Thyroid Hormone Receptor α1‐Deficient Mice , 2002, Journal of cardiovascular electrophysiology.

[17]  E. Ashley,et al.  Cardiac Neuronal Nitric Oxide Synthase Isoform Regulates Myocardial Contraction and Calcium Handling , 2003, Circulation research.

[18]  D Noble,et al.  A meta‐analysis of cardiac electrophysiology computational models , 2009, Experimental physiology.

[19]  D. Bers,et al.  Cardiac myocyte calcium transport in phospholamban knockout mouse: relaxation and endogenous CaMKII effects. , 1998, American journal of physiology. Heart and circulatory physiology.

[20]  Y Rudy,et al.  Ionic charge conservation and long-term steady state in the Luo-Rudy dynamic cell model. , 2001, Biophysical journal.

[21]  K. Sipido,et al.  Mechanisms Underlying the Frequency Dependence of Contraction and [Ca2+]i Transients in Mouse Ventricular Myocytes , 2002, The Journal of physiology.

[22]  M. Franz,et al.  Action potential characterization in intact mouse heart: steady-state cycle length dependence and electrical restitution. , 2007, American journal of physiology. Heart and circulatory physiology.

[23]  W. Giles,et al.  Functional properties of K+ currents in adult mouse ventricular myocytes , 2004, The Journal of physiology.

[24]  J. Brown,et al.  Role of Ca2+/calmodulin-dependent protein kinase II in cardiac hypertrophy and heart failure. , 2004, Cardiovascular research.

[25]  A. Moorman,et al.  Transgenic mice overexpressing human KvLQT1 dominant-negative isoform. Part I: Phenotypic characterisation. , 2001, Cardiovascular research.

[26]  E. Foster,et al.  The alpha(1A/C)- and alpha(1B)-adrenergic receptors are required for physiological cardiac hypertrophy in the double-knockout mouse. , 2003, The Journal of clinical investigation.

[27]  Donald M Bers,et al.  Calcium, calmodulin, and calcium-calmodulin kinase II: heartbeat to heartbeat and beyond. , 2002, Journal of molecular and cellular cardiology.

[28]  S. Houser,et al.  Isolation and morphology of calcium-tolerant feline ventricular myocytes. , 1983, The American journal of physiology.

[29]  E. Marbán,et al.  Calcium cycling and contractile activation in intact mouse cardiac muscle , 1998, The Journal of physiology.

[30]  J. Brouillette,et al.  Sex and strain differences in adult mouse cardiac repolarization: importance of androgens. , 2005, Cardiovascular research.

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

[32]  D. Bers,et al.  Differential distribution and regulation of mouse cardiac Na+/K+-ATPase α1 and α2 subunits in T-tubule and surface sarcolemmal membranes , 2007 .

[33]  M. Morad,et al.  Calcium Signaling in Transgenic Mice Overexpressing Cardiac Na+-Ca2+ Exchanger , 1997, The Journal of general physiology.

[34]  M. Diaz,et al.  Integrative Analysis of Calcium Cycling in Cardiac Muscle , 2000, Circulation research.

[35]  S. Huke,et al.  CaMKII inhibition targeted to the sarcoplasmic reticulum inhibits frequency-dependent acceleration of relaxation and Ca2+ current facilitation. , 2007, Journal of molecular and cellular cardiology.

[36]  Yoram Rudy,et al.  Rate Dependence and Regulation of Action Potential and Calcium Transient in a Canine Cardiac Ventricular Cell Model , 2004, Circulation.

[37]  R. Winslow,et al.  Cardiac Ca2+ dynamics: the roles of ryanodine receptor adaptation and sarcoplasmic reticulum load. , 1998, Biophysical journal.

[38]  G. Bett,et al.  Computer model of action potential of mouse ventricular myocytes. , 2004, American journal of physiology. Heart and circulatory physiology.

[39]  A. Chorvatova,et al.  Effects of caffeine on potassium currents in isolated rat ventricular myocytes , 2003, Pflügers Archiv.

[40]  Denis Noble,et al.  Contributions of inwardly rectifying K+ currents to repolarization assessed using mathematical models of human ventricular myocytes , 2006, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[41]  J. Brown,et al.  Role of Ca2+/calmodulin-dependent protein kinase II in cardiac hypertrophy and heart failure. , 2004, Cardiovascular research.

[42]  D M Bers,et al.  Assessment of intra-SR free [Ca] and buffering in rat heart. , 1997, Biophysical journal.

[43]  Weinong Guo,et al.  Four Kinetically Distinct Depolarization-activated K+ Currents in Adult Mouse Ventricular Myocytes , 1999, The Journal of general physiology.

[44]  Hannes Reutera,et al.  Na + –Ca 2+ exchange in the regulation of cardiac excitation–contraction coupling , 2005 .

[45]  S. Huke,et al.  Temporal dissociation of frequency-dependent acceleration of relaxation and protein phosphorylation by CaMKII. , 2007, Journal of molecular and cellular cardiology.

[46]  A. Trafford,et al.  Regulation of systolic [Ca2+]i and cellular Ca2+ flux balance in rat ventricular myocytes by SR Ca2+, L‐type Ca2+ current and diastolic [Ca2+]i , 2007, The Journal of physiology.

[47]  E. Crampin,et al.  A dynamic model of excitation-contraction coupling during acidosis in cardiac ventricular myocytes. , 2006, Biophysical journal.

[48]  Donald M. Bers,et al.  Allosteric Regulation of Na/Ca Exchange Current by Cytosolic Ca in Intact Cardiac Myocytes , 2001, The Journal of general physiology.

[49]  G. Shull,et al.  Functional comparisons between isoforms of the sarcoplasmic or endoplasmic reticulum family of calcium pumps. , 1992, The Journal of biological chemistry.

[50]  Michael Kohlhaas,et al.  Increased Sarcoplasmic Reticulum Calcium Leak but Unaltered Contractility by Acute CaMKII Overexpression in Isolated Rabbit Cardiac Myocytes , 2006, Circulation research.

[51]  D. Bers,et al.  Ca2+/Calmodulin-Dependent Protein Kinase II Phosphorylation of Ryanodine Receptor Does Affect Calcium Sparks in Mouse Ventricular Myocytes , 2006, Circulation research.

[52]  B. Surawicz,et al.  Role of potassium channels in cycle length dependent regulation of action potential duration in mammalian cardiac Purkinje and ventricular muscle fibres. , 1992, Cardiovascular research.

[53]  C. Le Peuch,et al.  Concerted regulation of cardiac sarcoplasmic reticulum calcium transport by cyclic adenosine monophosphate dependent and calcium--calmodulin-dependent phosphorylations. , 1979, Biochemistry.

[54]  Joshua I. Goldhaber,et al.  Action Potential Duration Restitution and Alternans in Rabbit Ventricular Myocytes: The Key Role of Intracellular Calcium Cycling , 2005, Circulation research.

[55]  K. Philipson,et al.  Overexpression of the Na(+)/Ca(2+) exchanger and inhibition of the sarcoplasmic reticulum Ca(2+)-ATPase in ventricular myocytes from transgenic mice. , 2001, Cardiovascular research.

[56]  A. Yao,et al.  Effects of overexpression of the Na+-Ca2+ exchanger on [Ca2+]i transients in murine ventricular myocytes. , 1998, Circulation research.

[57]  P. Kirchhof,et al.  Familial Hypertrophic Cardiomyopathy-Linked Mutant Troponin T Causes Stress-Induced Ventricular Tachycardia and Ca2+-Dependent Action Potential Remodeling , 2003, Circulation research.

[58]  E. Lakatta,et al.  Direct measurement of SR release flux by tracking ‘Ca2+ spikes’ in rat cardiac myocytes , 1998, The Journal of physiology.

[59]  W. Lederer,et al.  K 1 currents responsible for repolarization in mouse ventricle and their modulation by FK-506 and rapamycin , 2022 .

[60]  G. Breithardt,et al.  Regional, age-dependent, and genotype-dependent differences in ventricular action potential duration and activation time in 410 Langendorff-perfused mouse hearts , 2009, Basic Research in Cardiology.

[61]  Heping Cheng,et al.  Frequency-encoding Thr17 Phospholamban Phosphorylation Is Independent of Ser16 Phosphorylation in Cardiac Myocytes* , 2000, The Journal of Biological Chemistry.