Mathematical models of canine right and left atria cardiomyocytes

The aim of this study is to build two mathematical models of canine ionic currents specific to right atria and left atria. The canine left atria mathematical model was firstly modified from the Ramirez-Nattel-Courtemanche (RNC) model using the recently available experimental data of ionic currents and was further developed based on our own experimental data. A model of right atria was then built by considering the differences between right atria and left atria. The two developed models well reproduced the experimental data on action potential morphology, the rate dependence, and action potential duration restitution. They are useful for investigating the mechanisms underlying the heterogeneity of canine regional action potentials and would help the simulation of whole heart excitation propagation and cardiac arrhythmia in the near future.

[1]  A Garfinkel,et al.  Cardiac electrical restitution properties and stability of reentrant spiral waves: a simulation study. , 1999, The American journal of physiology.

[2]  A. Hodgkin,et al.  A quantitative description of membrane current and its application to conduction and excitation in nerve , 1990 .

[3]  Stanley Nattel,et al.  Atrial Ionic Remodeling Induced by Atrial Tachycardia in the Presence of Congestive Heart Failure , 2004, Circulation.

[4]  S Nattel,et al.  Potential Ionic Mechanism for Repolarization Differences Between Canine Right and Left Atrium , 2001, Circulation research.

[5]  A. Garfinkel,et al.  Preventing ventricular fibrillation by flattening cardiac restitution. , 2000, Proceedings of the National Academy of Sciences of the United States of America.

[6]  S Nattel,et al.  Ionic remodeling underlying action potential changes in a canine model of atrial fibrillation. , 1997, Circulation research.

[7]  G. W. Beeler,et al.  Reconstruction of the action potential of ventricular myocardial fibres , 1977, The Journal of physiology.

[8]  StanleyNattel,et al.  Ionic Mechanisms of Regional Action Potential Heterogeneity in the Canine Right Atrium , 1998 .

[9]  Stanley Nattel,et al.  Atrial Tachycardia Remodeling of Pulmonary Vein Cardiomyocytes: Comparison With Left Atrium and Potential Relation to Arrhythmogenesis , 2005, Circulation.

[10]  S. Nattel,et al.  Importance of refractoriness heterogeneity in the enhanced vulnerability to atrial fibrillation induction caused by tachycardia-induced atrial electrical remodeling. , 1998, Circulation.

[11]  P. Backx,et al.  Molecular dissection of the inward rectifier potassium current (IK1) in rabbit cardiomyocytes: evidence for heteromeric co‐assembly of Kir2.1 and Kir2.2 , 2003, The Journal of physiology.

[12]  Wen Dun,et al.  Calcium and potassium currents in cells from adult and aged canine right atria. , 2003, Cardiovascular research.

[13]  S Nattel,et al.  Potential molecular basis of different physiological properties of the transient outward K+ current in rabbit and human atrial myocytes. , 1999, Circulation research.

[14]  Y Rudy,et al.  Cellular responses to electrical stimulation: a study using a model of the ventricular cardiac action potential. , 1993, Advances in experimental medicine and biology.

[15]  R. Gilmour,et al.  Dynamic restitution of action potential duration during electrical alternans and ventricular fibrillation. , 1998, The American journal of physiology.

[16]  Stanley Nattel,et al.  Characterization of a hyperpolarization‐activated time‐dependent potassium current in canine cardiomyocytes from pulmonary vein myocardial sleeves and left atrium , 2004, The Journal of physiology.

[17]  C. Luo,et al.  A dynamic model of the cardiac ventricular action potential. II. Afterdepolarizations, triggered activity, and potentiation. , 1994, Circulation research.

[18]  Ling Xia,et al.  Simulation of Brugada syndrome using cellular and three-dimensional whole-heart modeling approaches , 2006, Physiological measurement.

[19]  A. Karma.  Electrical alternans and spiral wave breakup in cardiac tissue. , 1994, Chaos.

[20]  D. Noble.  Cardiac Action and Pacemaker Potentials based on the Hodgkin-Huxley Equations , 1960, Nature.

[21]  J. Clark,et al.  A model of the action potential and underlying membrane currents in a rabbit atrial cell. , 1996, The American journal of physiology.

[22]  Stanley Nattel,et al.  Time-dependent transients in an ionically based mathematical model of the canine atrial action potential. , 2002, American journal of physiology. Heart and circulatory physiology.

[23]  M R Boyett,et al.  Gradient Model Versus Mosaic Model of the Sinoatrial Node , 2001, Circulation.

[24]  S Nattel,et al.  Mathematical analysis of canine atrial action potentials: rate, regional factors, and electrical remodeling. , 2000, American journal of physiology. Heart and circulatory physiology.

[25]  C. Luo,et al.  A model of the ventricular cardiac action potential. Depolarization, repolarization, and their interaction. , 1991, Circulation research.

[26]  C. Luo,et al.  A dynamic model of the cardiac ventricular action potential. I. Simulations of ionic currents and concentration changes. , 1994, Circulation research.

[27]  S Nattel,et al.  Effects of experimental heart failure on atrial cellular and ionic electrophysiology. , 2000, Circulation.

[28]  J. Clark,et al.  Mathematical model of an adult human atrial cell: the role of K+ currents in repolarization. , 1998, Circulation research.

[29]  Liming Zhang,et al.  Cellular electrophysiology of canine pulmonary vein cardiomyocytes: action potential and ionic current properties , 2003, The Journal of physiology.

[30]  J. Clark,et al.  A mathematical model of a rabbit sinoatrial node cell. , 1994, The American journal of physiology.

[31]  D. Noble,et al.  Rectifying Properties of Heart Muscle , 1960, Nature.

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

[33]  H. Gold,et al.  Effects of experimental heart failure on the capacity of glucagon to augment myocardial contractility and activate adenyl cyclase. , 1970, The Journal of clinical investigation.

[34]  M. Courtemanche,et al.  Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model. , 1998, The American journal of physiology.

[35]  S Nattel,et al.  Sustained depolarization-induced outward current in human atrial myocytes. Evidence for a novel delayed rectifier K+ current similar to Kv1.5 cloned channel currents. , 1993, Circulation research.