Spontaneous activity of electrically excitable pacemaker cells
Анотація
We study a mathematical model of spontaneous activity of a cardiac pacemaker cell. The model includes five ionic membrane which are responsible for the spontaneous generation of an action potential of the pacemaker cell. These are the potassium, sodium and calcium ionic channels, the sodium-potassium pump and the sodium-calcium exchangers. The dynamics of intracellular concentrations of the main cations, responsible for the spontaneous activity of the pacemaker cell, was obtained. The computer simulation of the membrane potential and ionic currents was performed. The limit cycles oscillations were analyzed using the faze diagrams method. The pathology pacemaker activity during arrhythmia was simulated.
Посилання
Hille B. Ionic Channels of Excitable Membranes. - 2nd ed. - Massachusetts: Sinauer Associates Inc, 1991. - 624 p
Endersen L.P., Hall K., Hove J.S and Myrheim J., A theory for the membrane potential of living cells // European Biophysical Journal - 2000 - V. 29. - P. 90-103.
Docos S., Celler B. and Lovell N., Ion Currents Underlying Node Pacemaker Activity:A New Single Cell Mathematical Model // Journal Theoretical Biology. - 1996. - V. 181. - P. 245-272.
Noble D. The initiation of the heartbeat. Oxford: Oxford University Press, 1979. - 412 p.
Noble D., Noble S. A model of sino-atrial node electrical activity based on a modification of the DiFrancesco-Noble equations // Proc. R. Soc. Lond. B. - 1984. - V. 222. - P.295-304.
DiFrancesko D Pacemaker mechanisms in cardiac tissue // Annual Rev. of Physiology. - 1993 - V. 5. - P.455-472
Ch’en F.F., Vaughan-Jones R.D., Clarke K., Noble D. Modeling myocardial ischaemia and reperfijsion//Progress inBiophysics and Molecular Biology.- 1998. -V. 69. -P. 515-538.
Lei M., Brown H., Noble D. What role do T-type calcium channels play in cardiac pacemaker activity // Proceedings from the International Electrophysiology Meeting ( Basel, Switzerland, 1996). - P. 103-109.
Han X., Sen L., Smith T., Functions of T-type calcium channels in rabbit atrioventicular node and cardiomyopathic hamster ventricle // ibid. - P. 110-122.
