TY - JOUR
T1 - Dynamics of the calcium subsystem in cardiac Purkinje fibers
AU - Varghese, A.
AU - Winslow, R. L.
N1 - Funding Information:
3 Partially supported by NSF grant BIR 91-17874.
Funding Information:
’ Partial support for this work has come from the Army Research Office contract number DAAL03-89-C-0038 with the Army High Performance Computing Resesarch Center at the University of Minnesota.
Funding Information:
* Partially supported by NSF grant ASC-92 1113 1.
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.
PY - 1993/10/15
Y1 - 1993/10/15
N2 - A minimal model of the dynamics of internal calcium concentration of the mammalian cardiac Purkinje fiber is examined in order to identify the cause of certain arrhythmias of the heart. The effect of inhibition of the sodium/potassium pump is modeled by an elevated value of internal sodium cocentration. Effects of pump inhibition are examined at different clamp voltages. Such conditions mimic those which have been examined experimentally and which are known to cause oscillatory calcium release [W.J. Lederer, PhD thesis, Yale University, New Haven, CT (1976), 168 pp.; R.S. Kass, W.J. Lederer, R.W. Tsien and R. Weingart, J. Physiol. (London) 281 (1978) 187-208]. System dynamics are investigated using numerical continuation methods. Results of these analyses predict the existence of stable periodic oscillations of internal calcium over a range of voltage-clamp values. The emergence of these oscillations depends on the intracellular sodium concentration.
AB - A minimal model of the dynamics of internal calcium concentration of the mammalian cardiac Purkinje fiber is examined in order to identify the cause of certain arrhythmias of the heart. The effect of inhibition of the sodium/potassium pump is modeled by an elevated value of internal sodium cocentration. Effects of pump inhibition are examined at different clamp voltages. Such conditions mimic those which have been examined experimentally and which are known to cause oscillatory calcium release [W.J. Lederer, PhD thesis, Yale University, New Haven, CT (1976), 168 pp.; R.S. Kass, W.J. Lederer, R.W. Tsien and R. Weingart, J. Physiol. (London) 281 (1978) 187-208]. System dynamics are investigated using numerical continuation methods. Results of these analyses predict the existence of stable periodic oscillations of internal calcium over a range of voltage-clamp values. The emergence of these oscillations depends on the intracellular sodium concentration.
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U2 - 10.1016/0167-2789(93)90131-J
DO - 10.1016/0167-2789(93)90131-J
M3 - Article
AN - SCOPUS:38248999969
SN - 0167-2789
VL - 68
SP - 364
EP - 386
JO - Physica D: Nonlinear Phenomena
JF - Physica D: Nonlinear Phenomena
IS - 3-4
ER -