-
1
-
-
0000157466
-
A simple two-variable model of cardiac excitation
-
Aliev, R. R. & Panfilov, A. V. [1996] "A simple two-variable model of cardiac excitation," Chaos Solit. Fract. 7, 293-301.
-
(1996)
Chaos Solit. Fract.
, vol.7
, pp. 293-301
-
-
Aliev, R.R.1
Panfilov, A.V.2
-
2
-
-
0036086781
-
A computationally efficient electrophysiological model of human ventricular cells
-
Bernus, O., Wilders, R., Zemlin, C. W., Verscheide, H. & Panfilov, A. V. [2002] "A computationally efficient electrophysiological model of human ventricular cells," Am. J. Physiol. 282, H2296-H2308.
-
(2002)
Am. J. Physiol.
, vol.282
-
-
Bernus, O.1
Wilders, R.2
Zemlin, C.W.3
Verscheide, H.4
Panfilov, A.V.5
-
3
-
-
0016444040
-
Perturbation analysis of an approximation to the Hodgkin-Huxley theory
-
Gasten, R. G., Cohen, H. & Lagerstrom, P. A. [1975] "Perturbation analysis of an approximation to the Hodgkin-Huxley theory," Quart. Appl. Math. 32, 365-402.
-
(1975)
Quart. Appl. Math.
, vol.32
, pp. 365-402
-
-
Gasten, R.G.1
Cohen, H.2
Lagerstrom, P.A.3
-
4
-
-
33750856807
-
Ionic mechanisms underlying human atrial action potential properties: Insights from a mathematical model
-
Courtemanche, M., Ramirez, R, J. & Nattel, S. [1998] "Ionic mechanisms underlying human atrial action potential properties: Insights from a mathematical model," Am. J. Physiol. 275, H301-H321.
-
(1998)
Am. J. Physiol.
, vol.275
-
-
Courtemanche, M.1
Ramirez, R.J.2
Nattel, S.3
-
5
-
-
0034214828
-
Modeling the dynamics of cardiac action potentials
-
Duckett, G. & Barkley, D. [2000] "Modeling the dynamics of cardiac action potentials," Phys. Rev. Lett. 85, 884-887.
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 884-887
-
-
Duckett, G.1
Barkley, D.2
-
6
-
-
0032155205
-
On the movement of excitation wave breaks
-
Elkin, Y. E., Biktashev, V. N. & Holden, A. V. [1998] "On the movement of excitation wave breaks," Chaos Solit. Fract. 9, 1597-1610.
-
(1998)
Chaos Solit. Fract.
, vol.9
, pp. 1597-1610
-
-
Elkin, Y.E.1
Biktashev, V.N.2
Holden, A.V.3
-
7
-
-
0001976781
-
Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation
-
Fenton, F. & Karma, A. [1998] "Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillation," Chaos 8, 20-47.
-
(1998)
Chaos
, vol.8
, pp. 20-47
-
-
Fenton, F.1
Karma, A.2
-
8
-
-
0000253608
-
Pattern formation in reacting and diffusing systems
-
Fife, P. C. [1976] "Pattern formation in reacting and diffusing systems," J. Chem. Phys. 64, 554-564.
-
(1976)
J. Chem. Phys.
, vol.64
, pp. 554-564
-
-
Fife, P.C.1
-
9
-
-
53349102813
-
Impulses and physiological states in theoretical models of nerve membrane
-
FitzHugh, R. A. [1961] "Impulses and physiological states in theoretical models of nerve membrane," Biophys. J. 1, 445-466.
-
(1961)
Biophys. J.
, vol.1
, pp. 445-466
-
-
Fitzhugh, R.A.1
-
10
-
-
0036011168
-
An analytical study of the physiology and pathology of the propagation of cardiac action potentials
-
Hinch, R. [2002] "An analytical study of the physiology and pathology of the propagation of cardiac action potentials," Progr. Biophys. Mol. Biol. 78, 45-81.
-
(2002)
Progr. Biophys. Mol. Biol.
, vol.78
, pp. 45-81
-
-
Hinch, R.1
-
11
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
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.
-
(1952)
J. Physiol.
, vol.117
, pp. 500-544
-
-
Hodgkin, A.L.1
Huxley, A.F.2
-
12
-
-
0020386304
-
Interaction of acidosis and increased extracellular potassium on action potential characteristics and conduction in guinea pig ventricular muscle
-
Kagiyama, Y., Hill, J. L. & Gettes, L. S. [1982] "Interaction of acidosis and increased extracellular potassium on action potential characteristics and conduction in guinea pig ventricular muscle," Circ. Res. 51, 614-623.
-
(1982)
Circ. Res.
, vol.51
, pp. 614-623
-
-
Kagiyama, Y.1
Hill, J.L.2
Gettes, L.S.3
-
13
-
-
0015830624
-
Analysis of equations of excitable membranes - I. Reduction of the Hodgkin-Huxley equations to a second order system
-
Krinsky, V. I. & Kokoz, Y. M. [1973] "Analysis of equations of excitable membranes - I. Reduction of the Hodgkin-Huxley equations to a second order system," Biofizika 18, 506-511.
-
(1973)
Biofizika
, vol.18
, pp. 506-511
-
-
Krinsky, V.I.1
Kokoz, Y.M.2
-
14
-
-
0000688571
-
Nagumo's equation
-
McKean, Jr., H. P. [1970] "Nagumo's equation," Adv. Math. 4, 209-223.
-
(1970)
Adv. Math.
, vol.4
, pp. 209-223
-
-
McKean Jr., H.P.1
-
15
-
-
0004190360
-
-
Annals of Mathematical Studies, (Princeton University Press, NJ)
-
Milnor, J. [1963] Morse Theory, Annals of Mathematical Studies, Vol. 51 (Princeton University Press, NJ).
-
(1963)
Morse Theory
, vol.51
-
-
Milnor, J.1
-
16
-
-
0003475470
-
-
Springer Verlag, Berlin, Chap. 11.5
-
Murray, J. [1989] Mathematical Biology (Springer Verlag, Berlin), Chap. 11.5.
-
(1989)
Mathematical Biology
-
-
Murray, J.1
-
17
-
-
6344238035
-
An active pulse transmission line simulating nerve axon
-
Nagumo, J., Arimoto, S. & Yoshizawa, S. [1962] "An active pulse transmission line simulating nerve axon," Proc. IRE 50, 2061-2070.
-
(1962)
Proc. IRE
, vol.50
, pp. 2061-2070
-
-
Nagumo, J.1
Arimoto, S.2
Yoshizawa, S.3
-
18
-
-
0020191444
-
Propagation phenomena in a bistable reaction-diffusion system
-
Rinzel, J. & Terman, D. [1982] "Propagation phenomena in a bistable reaction-diffusion system," SIAM J. Appl. Math. 42, 1111-1137.
-
(1982)
SIAM J. Appl. Math.
, vol.42
, pp. 1111-1137
-
-
Rinzel, J.1
Terman, D.2
-
19
-
-
0348107272
-
Spatiotemporal dynamics of damped propagation in excitable cardiac tissue
-
Sidorov, V. Y., Aliev, R. R., Woods, M. C., Bauden-bacher, F., Baudenbacher, P. & Wikswo, J. P. [2003] "Spatiotemporal dynamics of damped propagation in excitable cardiac tissue," Phys. Rev. Lett. 91, 208104.
-
(2003)
Phys. Rev. Lett.
, vol.91
, pp. 208104
-
-
Sidorov, V.Y.1
Aliev, R.R.2
Woods, M.C.3
Bauden-Bacher, F.4
Baudenbacher, P.5
Wikswo, J.P.6
-
20
-
-
1642281714
-
Asymptotic structure of the Hodgkin-Huxley equations
-
Suckley, R. & Biktashev, V. N. [2003] "Asymptotic structure of the Hodgkin-Huxley equations," Int. J. Bifurcation and Chaos 13, 3805-3825.
-
(2003)
Int. J. Bifurcation and Chaos
, vol.13
, pp. 3805-3825
-
-
Suckley, R.1
Biktashev, V.N.2
-
21
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media (a review)
-
Tyson, J. J. & Keener, J. P. [1988] "Singular perturbation theory of traveling waves in excitable media (a review)," Physica D32, 327-361.
-
(1988)
Physica
, vol.D32
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
-
22
-
-
0034623782
-
Ventricular fibrillation: How do we stop the waves from breaking?
-
Weiss, J. N., Chen, P.-S., Qu, Z., Karagueuzian, H. S. & Garfinkel, A. [2000] "Ventricular fibrillation: How do we stop the waves from breaking?" Circ. Res. 87, 1103-1107.
-
(2000)
Circ. Res.
, vol.87
, pp. 1103-1107
-
-
Weiss, J.N.1
Chen, P.-S.2
Qu, Z.3
Karagueuzian, H.S.4
Garfinkel, A.5
-
24
-
-
0000607013
-
Towards the theory of uniformly propagating flames
-
Zel'dovich, Y. B. & Frank-Kamenetsky, D. A. [1938] "Towards the theory of uniformly propagating flames," Doklady AN SSSR 19, 693-697.
-
(1938)
Doklady AN SSSR
, vol.19
, pp. 693-697
-
-
Zel'Dovich, Y.B.1
Frank-Kamenetsky, D.A.2
|