SPATIOTEMPORAL WAVEFRONT PROPAGATION IN 3D GEOMETRIC EXCITABLE HEART TISSUE

The electrochemical phenomena in the heart were simulated using a specifically simplified three dimensional model based on the cellular physiological concepts. The resulting CEP model (Combined Electrochemical Path), was shown to have the advantage of presenting the electrochemical interactions between various cellular substructures. The cellular architecture in the model follows the non-heterogeneity of the heart structure accompanied by gap junctions representing cellular interconnections. The evaluation is performed through comparisons made between the CEP simulation results and the reported characteristics of various pacemaker heart cells, obtained when the cells were investigated individually. Furthermore, it is shown that spatiotemporal propagation of the electromechanical wave, influenced by the characteristics of 3D geometric architecture in an excitable heart tissue, alters the individual cellular electrophysiological behaviour. The simplified heart geometry is introduced through 18 layers with 25 cells in each layer The CEP model could be adopted as a preliminary basis towards understanding the electrophysiology and pharmacology properties of spatiotemporal wavefront propagation in heart cells.

[1]  D. Noble A modification of the Hodgkin—Huxley equations applicable to Purkinje fibre action and pacemaker potentials , 1962, The Journal of physiology.

[2]  A.M. Street,et al.  Propagation in cardiac tissue adjacent to connective tissue: two-dimensional modeling studies , 1999, IEEE Transactions on Biomedical Engineering.

[3]  Nicolas P. Smith,et al.  Mathematical modelling of the heart: cell to organ , 2002 .

[4]  M R Boyett,et al.  Correlation between electrical activity and the size of rabbit sino‐atrial node cells. , 1993, The Journal of physiology.

[5]  Lionel H. Opie,et al.  Heart Physiology: From Cell to Circulation , 2003 .

[6]  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.

[7]  C. Henriquez,et al.  A computer model of normal conduction in the human atria. , 2000, Circulation research.

[8]  D. Noble,et al.  Reconstruction of the electrical activity of cardiac Purkinje fibres. , 1975, The Journal of physiology.

[9]  C. Bradley,et al.  Effects of Material Properties and Geometry on Electrocardiographic Forward Simulations , 2000, Annals of Biomedical Engineering.

[10]  D. Noble Modeling the Heart--from Genes to Cells to the Whole Organ , 2002, Science.

[11]  R. Hinch An analytical study of the physiology and pathology of the propagation of cardiac action potentials. , 2002, Progress in biophysics and molecular biology.

[12]  C. Henriquez,et al.  Anisotropy, Fiber Curvature, and Bath Loading Effects on Activation in Thin and Thick Cardiac Tissue Preparations: , 1996, Journal of cardiovascular electrophysiology.

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

[14]  D DiFrancesco,et al.  A model of cardiac electrical activity incorporating ionic pumps and concentration changes. , 1985, Philosophical transactions of the Royal Society of London. Series B, Biological sciences.

[15]  M. Boyett,et al.  Sophisticated Architecture is Required for the Sinoatrial Node to Perform Its Normal Pacemaker Function , 2003, Journal of cardiovascular electrophysiology.

[16]  Peter J Hunter,et al.  Modeling total heart function. , 2003, Annual review of biomedical engineering.

[17]  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.

[18]  Henggui Zhang,et al.  Engineering Virtual Cardiac Tissue , 2001, Briefings Bioinform..

[19]  Stanley Nattel,et al.  Differential Distribution of Cardiac Ion Channel Expression as a Basis for Regional Specialization in Electrical Function , 2002, Circulation research.

[20]  W H Lamers,et al.  Distribution of atrial and nodal cells within the rabbit sinoatrial node: models of sinoatrial transition. , 1998, Circulation.

[21]  Alan Garfinkel,et al.  Computer Modeling of Atrial Fibrillation , 2001 .

[22]  G. Hart,et al.  Regional differences in action potential characteristics and membrane currents of guinea‐pig left ventricular myocytes , 1998, Experimental physiology.

[23]  T. Opthof,et al.  Heterogeneous expression of connexins in rabbit sinoatrial node cells: correlation between connexin isotype and cell size. , 2002, Cardiovascular research.

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

[25]  P. Hunter,et al.  Computational physiology and the physiome project , 2004, Experimental physiology.

[26]  R Wilders,et al.  Pacemaker activity of the rabbit sinoatrial node. A comparison of mathematical models. , 1991, Biophysical journal.

[27]  Edward A. Johnson,et al.  PURKINJE FIBERS OF THE HEART EXAMINED WITH THE PEROXIDASE REACTION , 1968, The Journal of cell biology.

[28]  Olivier Blanc A computer model of human atrial arrhythmia , 2002 .

[29]  S Nattel,et al.  Ionic targets for drug therapy and atrial fibrillation-induced electrical remodeling: insights from a mathematical model. , 1999, Cardiovascular research.

[30]  Tobias Opthof,et al.  The mammalian sinoatrial node , 1988, Cardiovascular Drugs and Therapy.

[31]  A. Holden,et al.  Computational approaches to the ionic basis of pacemaker activity – from channel kinetics to the regional differences in rhythm , 2002 .

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

[33]  Karl A. Tomlinson,et al.  Cardiac Microstructure: Implications for Electrical Propagation and Defibrillation in the Heart , 2002, Circulation research.

[34]  R. Tsien,et al.  Electrical properties associated with wide intercellular clefts in rabbit Purkinje fibres. , 1979, The Journal of physiology.

[35]  T. Colatsky,et al.  Voltage clamp measurements of sodium channel properties in rabbit cardiac Purkinje fibres. , 1980, The Journal of physiology.

[36]  A McCulloch,et al.  Computational biology of the heart: from structure to function. , 1998, Progress in biophysics and molecular biology.

[37]  P. Hunter,et al.  Integration from proteins to organs: the Physiome Project , 2003, Nature Reviews Molecular Cell Biology.

[38]  P. Hunter,et al.  One‐Dimensional Rabbit Sinoatrial Node Models: , 2003, Journal of cardiovascular electrophysiology.

[39]  B. Hille Ionic channels of excitable membranes , 2001 .

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

[41]  H Honjo,et al.  Regional differences in effects of E-4031 within the sinoatrial node. , 1999, American journal of physiology. Heart and circulatory physiology.

[42]  R M Gulrajani,et al.  A computer heart model incorporating anisotropic propagation. III. Simulation of ectopic beats. , 1993, Journal of electrocardiology.

[43]  M. Mahmoudian A program for simulation of the effects of drugs on the performance of the normal heart and in congestive heart failure , 1989 .

[44]  R Wilders,et al.  Gap junctions in cardiovascular disease. , 2000, Circulation research.

[45]  B. Albat,et al.  Calcium Currents in Diseased Human Cardiac Cells , 1995, Journal of cardiovascular pharmacology.

[46]  J. Levick,et al.  An Introduction to Cardiovascular Physiology , 2009 .