Reduced models for the pacemaker dynamics of cardiac cells

Journal of Theoretical Biology

Volumn 270, Issue 1, 2011, Pages 164-176

  Herrera Valdez, Marco Arieli ^a   Lega, Joceline ^a  

^a University of Arizona   (United States)

Author keywords

Cardiac; Channel dynamics; Excitability; Membrane potential; Pacemaking

Indexed keywords

BIOPHYSICS; KINETICS; MEMBRANE; MODELING;

ARTICLE; HEART DEPOLARIZATION; HEART MUSCLE CELL; HEART MUSCLE EXCITABILITY; HEART MUSCLE FIBER MEMBRANE POTENTIAL; ION CURRENT; MEMBRANE CHANNEL; PRIORITY JOURNAL; SINUS VENOSUS; THEORETICAL MODEL;

ACTION POTENTIALS; ALGORITHMS; ANIMALS; COMPUTER SIMULATION; ELECTROPHYSIOLOGICAL PHENOMENA; HEART CONDUCTION SYSTEM; HUMANS; ION CHANNELS; KINETICS; MODELS, CARDIOVASCULAR; MYOCYTES, CARDIAC;

EID: 78649628118     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2010.09.042     Document Type: Article

References (48)

1. Accili E., Proenza C., Baruscotti M., DiFrancesco D. News in Physiological Sciences 2002, 17:32-37.
2. Aliev R., Panfilov A. Chaos, Solitons and Fractals 1996, 7(3):293-301.
3. Av-Ron E., Parnas H., Segel L. Biological Cybernetics 1991, 65(6):487-500.
4. Av-Ron E., Parnas H., Segel L. Biological Cybernetics 1993, 69(1):87-95.
5. Babij P., Askew G., Nieuwenhuijsen B., Su C., Bridal T., Jow B., Argentieri T., Kulik J., DeGennaro L., Spinelli W., et al. Circulation Research 1998, 83(6):668.
6. Barkley D. Physica D 1991, 49(1-2):61-70.
7. Baruscotti M., Barbuti A., Bucchi A. Journal of Molecular and Cellular Cardiology 2010, 48(1):55-64.
8. Baruscotti, M., DiFrancesco, D., 2004. Cardiac engineering: from genes and cells to structure and function. Annals of the New York Academy of Sciences 1015, 111-121.
9. Beeler G., Reuter H. Journal of Physiology (London) 1977, 268:177-210.
10. Bernus O., Wilders R., Zemlin C., Verschelde H., Panfilov A. American Journal of Physiology-Heart and Circulatory Physiology 2002, 282(6):2296-2308.
11. Boron, W., Boulpaep, E., 2003. Medical Physiology: A Cellular and Molecular Approach, Saunders.
12. Campbell D.L., Rasmusson R.L., Strauss H.C. Annual Reviews in Physiology 1992, 54:279-302.
13. Courtemanche M., Ramirez R., Nattel S. American Journal of Physiology-Heart and Circulatory Physiology 1998, 275(1):H301.
14. DiFrancesco D. Annual Review of Physiology 1993, 55(1):455-472.
15. Drouhard J., Roberge F. Computers and Biomedical Research 1987, 20:333-350.
16. Endresen L.P., Hall K., Hoye J.S., Myrheim J. European Journal of Biophysics 2000, 29:90-103.
17. Fenton F., Karma A. Chaos: An Interdisciplinary Journal of Nonlinear Science 1998, 8:20.
18. Fitzhugh R. Biophysical Journal 1961, 1(6):445-466.
19. Giles W., Shibata E. Journal of Physiology 1985, 368:265-292.
20. Guevara M., Jongsma H. American Journal of Physiology 1992, 262:H1268-H1286.
21. Henderson S., Goldhaber J., So J., Han T., Motter C., Ngo A., Chantawansri C., Ritter M., Friedlander M., Nicoll D., et al. Circulation Research 2004, 95(6):604.
22. Herrera-Valdez, M., Berger, S., Duch, C., Crook, S., 2010. Differential contribution of voltage-dependent potassium currents to neuronal excitability, BMC Neuroscience 11 (Suppl. 1), 159.
23. Herrera-Valdez, M.A., Lega, J., in preparation.
24. Hodgkin A., Huxley A. Journal of Physiology 1952, 117:500-544.
25. Izhikevich E. IEEE Transactions on Neural Networks 2003, 14(6):1569-1572.
26. Izhikevich E. Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting 2006, The MIT Press.
27. Johnston D., Wu S., Gray R. Foundations of Cellular Neurophysiology 1995, MIT press, Cambridge, MA.
28. Karma A. Physical Review Letters 1993, 71(7):1103-1106.
29. Karma A. Chaos 1994, 4(3):461-472.
30. Mitchell C., Schaeffer D. Bulletin of Mathematical Biology 2003, 65:767-793.
31. Morris C., Lecar H. Biophysical Journal 1981, 35:193-213.
32. Nagumo J., Arimoto S., Yoshizawa S. Proceedings of the IRE 1962, 50(10):2061-2070.
33. Nonner W., Eisenberg B. Biophysical Journal 1998, 75:1287-1305.
34. Nygren A., Fiset C., Firek L., Clark J., Lindblad D., Clark R., Giles W. Circulation Research 1998, 82(1):63.
35. Priebe L., Beuckelmann D. Circulation Research 1998, 82(11):1206.
36. Rasmusson R., Clark J., Giles W., Robinson K., Clark R., Shibata E., Campbell D. American Journal of Physiology 1990, 259:H370-H389.
37. Rasmusson R., Clark J., Giles W., Shibata E., Campbell D. American Journal of Physiology 1990, 259:H352-H369.
38. Rinzel, J., 1985. Federation Proceedings 44, 2944.
39. Rinzel J., Ermentrout G. Methods in Neuronal Modeling 1998, 2:251-292.
40. Rubin J., Terman D. Handbook of Dynamical Systems 2002, 2:93-146.
41. Sanders L., Rakovic S., Lowe M., Mattick P., Terrar D. The Journal of Physiology 2006, 571(3):639.
42. Schram G., Pourrier M., Melnyk P., Nattel S. Circulation Research 2002, 90(9):939.
43. Schroeder B., Waldegger S., Fehr S., Bleich M., Warth R., Greger R., Jentsch T. Nature 2000, 403(6766):196-199.
44. Ten Tusscher K., Noble D., Noble P., Panfilov A. American Journal of Physiology-Heart and Circulatory Physiology 2004, 286(4):H1573.
45. Ten Tusscher K., Panfilov A. Physics in Medicine and Biology 2006, 51(23):6141-6156.
46. Verkerk A., Wilders R., van Borren M., Peters R., Broekhuis E., Lam K., Coronel R., de Bakker J., Tan H. European Heart Journal 2007, 28(20):2472.
47. Vinet A., Roberge F. Journal of Theoretical Biology 1990, 147:377-412.
48. Vinogradova T., Lakatta E. Journal of Molecular and Cellular Cardiology 2009, 47(4):456-474.