A discussion about the DiFrancesco-Noble model

Journal of Theoretical Biology

Volumn 189, Issue 1, 1997, Pages 27-32

  Guan, Shan ^a   Lu, Qishao ^a   Huang, Kelei ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; HEART ELECTROPHYSIOLOGY; MATHEMATICAL MODEL; PRIORITY JOURNAL;

EID: 0031558727     PISSN: 00225193     EISSN: None     Source Type: Journal    
DOI: 10.1006/jtbi.1997.0486     Document Type: Article

References (13)

1. BEELER, G. W. & REUTER, H. (1977). Restruction of the action potential of ventricular myocardial fibers. J. Physiol., Lond. 268, 177-210.
2. DIFRANCESCO, D. & NOBLE, D. (1985). A model of cardiac electrical activity incorporating ionic pumps and concentration changes. Phil. Trans. R. Soc. Lond. B 307, 353-398.
3. EARM, Y. E. & NOBLE, D. (1990). A model of the single atrial cell: relation between calcium current and calcium release. Proc. R. Soc. Lond. B 240, 83-96.
4. FITZHUGH, R. (1960). Thresholds and plateaus in the Hodgkin-Hukley nerve equations. J. gen. Physiol. 43, 867-896.
5. GEAR, C. W. (1971). Numerical Initial Value Problems in Ordinary Differential Equations. Englewood Cliffs, N.J.: Prentice-Hall.
6. HODGKIN, A. L. & HUXLEY, A. F. (1952). A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. 117, 500-544.
7. MCALLISTER, R. E., NOBLE, D. & TSIEN, R. W. (1975). Restruction of the electrical activity of cardiac Purkinje fibers. J. Physiol., Lond. 251, 1-59.
8. NOBLE, D. (1962). A modification of the Hodgkin-Huxley equations applicable to Purkinje fibre action and pacemaker potential. J. Physiol., Lond. 160, 317-352.
9. VARGHESE, A. (1992). Dynamics of electrical activity in cardiac Purkinje fibers. Ph.D. Thesis, University of Minnesota, Minneapolis, Minnesota.
10. VARGHESE, A. (1994). Effects of subcellular oscillations on cardiac cell transmembrane potentials. In: Proceedings of the Intel. Fed. Aut. Contral. Symposium on Modelling and Controlling in Biomedical Systems (Patterson, B. W., ed.), pp. 59-63.
11. VARGHESE, A. & SELL, G. (1994). A conservation principle and its effect on the formulation of Na-Ca exchange current in cardiac cells. Preprint, 94-16, Army High Performance Computing Research Center.
12. VARGHESE, A. & WINSLOW, R. L. (1993). Dynamics of the calcium subsystem in cardiac Purkinje fibers. Physica D 68, 364-386.
13. VARGHESE, A. & WINSLOW, R. L. (1994). Dynamics of abnormal pacemaking activity in cardiac Purkinje fibers. J. theor. Biol. 168, 407-420.