Journal of Electrocardiology
Volume 36 , Pages 43-49 , December 2003

From myocardial cell models to action potential propagation

  • Andrew E Pollard, PhD

      Affiliations

    • Department of Biomedical Engineering, Cardiac Rhythm Management Laboratory, University of Alabama at Birmingham, Birmingham AL, USA
    • Corresponding Author InformationReprint requests: Andrew E. Pollard, Department of Biomedical Engineering, Cardiac Rhythm Management Lab-oratory, 370 Hoehn Engineering Building, University of Alabama at Birmingham, Birmingham, AL; 35294-9440, USA

References 

  1. Beeler GW, Reuter H. Reconstruction of the action potentials of ventricular myocardial fibres. J Physiol (London). 1977;268:177
  2. Drouhard JP, Roberge FA. A simulation study of the ventricular myocardial action potential. IEEE Trans Biomed Eng. 1983;29:494
  3. Ebihara LH, Johnson EA. Fast sodium current in cardiac muscle (A quantitative descrip-tion). Biophys. J. 1980;32:779
  4. Courtemanche M. Complex spiral wave dynamics in a spatially distributed ionic model of cardiac electrical activity. Chaos. 1996;6:579
  5. Skouibine KB, Trayanova NA, Moore PK. Anode/cathode make and break phenomena in a model of defibrillation. IEEE Trans Biomed Eng. 1999;46:769
  6. Roth BJ. Nonsustained reentry following successive stimulation of cardiac tissue through a unipolar electrode. J Cardiovasc Electrophysiol. 1997;8:768
  7. DiFrancesco D, Noble D. A model of cardiac electrical activity incorporating ionic pumps and concentration changes. Proc R Soc Lond B. 1985;307:353
  8. Cabo C, Barr RC. Propagation model using the DiFrancesco-Noble equations. Med Biol Eng Comput. 1992;30:292
  9. Huelsing DJ, Spitzer KW, Cordeiro JM, et al.  Conduction between isolated rabbit Purkinje and ventricular myocytes coupled by a variable resistance. Am J Physiol. 1998;274:H1163
  10. Huelsing DJ, Cordeiro JM, Spitzer KW, et al.  Modulation of repolarization in rabbit Purkinje and ventricular myocytes coupled by a variable resistance. Am J Physiol. 1999;276:H572
  11. Montserrat M, Saiz J, Ferrero JM, et al.  Ectopic activity in ven-tricular cells induced by early afterdepolarizations developed in Purkinje cells. Ann Biomed Eng. 2000;28:1343
  12. Luo C-H, Rudy Y. A dynamic model of the cardiac ventricular action potential. I. Simu-lations of ionic currents and concentration changes. Circ Res. 1994;74:1071
  13. Luo C-H, Rudy Y. A dynamic model of the cardiac ventricular action potential. II. Afterdepolarizations, triggered activity and potentiation. Circ Res. 1994;74:1097
  14. Zeng J, Laurita KR, Rosenbaum DS, et al.  Two components of the delayed rectifier potassium current in ventricular myocytes of the guinea pig type. Theoretical formulation and their role in repolarization. Circ. Res. 1995;77:140
  15. Viswanathan PC, Shaw RM, Rudy Y. Effects of rapid and slow delayed rectifier potas-sium current heterogeneity on action potential duration and its rate dependence. A simulation study. Circulation. 1999;99:2466
  16. Shaw RM, Rudy Y. Electrophysiologic effects of acute myocardial ischemia (A theoretical study of altered cell excitability and action potential duration). Cardiovasc Res. 1997;35:256
  17. Viswanathan PC, Rudy Y. Pause induced early afterdepolarizations in the long QT syndrome (A simulation study). Cardiovasc Res. 1999;42:530
  18. Faber GM, Rudy Y. Action potential and contractility changes in intracellular sodium overloaded cardiac myocytes (a simulation study). Biophys J. 2000;78:2392
  19. Shaw RM, Rudy Y. Ionic mechanisms of propagation in cardiac tissue. Roles of sodium and L-type calcium currents during reduced excitability and decreased gap junction coupling. Circ Res. 1997;81:727
  20. Wang Y, Rudy Y. Action potential propagation in inhomogeneous cardiac tissue (Safety factor considerations and ionic mechanism). Am J Physiol. 2000;278:H1019
  21. Hund TJ, Rudy Y. Determinants of excitability in cardiac myocytes (mechanistic inves-tigation of memory effect). Biophys J. 2000;79:3095
  22. Nygren A, Fiset C, Firek L. Mathe-matical model of an adult human atrial cell. The role of potassium currents in repolarization. Circulation. 1998;82:63
  23. Lindblad DS, Murphey CR, Clark JW, et al.  A model of the aciton potential and underlying membrane curents in a rabbit atrial cell. Am J Physiol. 1996;271:H1666
  24. Courtemanche M, Ramirez RJ, Nattell S. Ionic mechanisms underlying human atrial action potential properties (Insights from a mathematical model). Am J Physiol. 1998;275:H301
  25. Winslow RL, Rice J, Jafri S, et al.  Mechanisms of altered excitation-contraction coupling in canine tachycardia-induced heart failure. II. Model studies. Circ Res. 1999;84:571
  26. Jafri MS, Rice JJ, Winslow RL. Cardiac calcium dynamics (The roles of ryanodine receptor adaptation and sarcoplasmic reticulum load). Biophys J. 1998;74:1149
  27. Pandit SV, Clark RB, Giles WR, et al.  A mathematical model of action potential heterogeneity in adult rat left ventricular myocytes. Biophys J. 2001;81:3029
  28. Cabo C, Boyden PA. Electrical remodeling of the epicardial border zone in the canine infarcted heart (a computational analysis). Am J Physiol. 2003;284:H372
  29. Fox JJ, McHarg JL, Gilmour RF. Ionic mechanism of electrical alternans. Am J Physiol. 2002;282:H516
  30. Chudin E, Goldhaber J, Garfinkel A, et al.  Intracellular calcium dynamics and the stability of ventricular tachycardia. Biophys J. 1999;77:2930
  31. Koller ML, Riccio ML, Gilmour RF. Dynamic restitution of action potential duration during alternans and ventricular fibrillation. Am J Physiol. 1998;275:H1635
  32. Koller ML, Riccio ML, Gilmour RF. Effects of extracellular potassium on electrical restitution and activation dynamics during ventricular fibrillation. Am J Physiol. 2000;279:H2665
  33. Pollard AE, Cascio WE, Fast VG, et al.  Modulation of triggered activity by uncoupling in the ischemic border (A model study with phase 1b-like conditions). Cardiovasc Res. 2002;56:381
  34. Pollard AE, Spitzer KW, Burgess MJ. Contributions of the specialized conduction system to the activation sequence in the canine pulmonary conus. Am J Physiol. 1997;273:H446

☆ This work was supported by National Science Foundation Award BES-9903466, American Heart Association Southeast Affiliate Award 0051196B and National Heart, Lung and Blood Institute Awards HL67728 and HL67961.

PII: S0022-0736(03)00102-X

doi: 10.1016/j.jelectrocard.2003.09.014

Journal of Electrocardiology
Volume 36 , Pages 43-49 , December 2003

Article Tools

* Image Usage & Resolution