-
1
-
-
0030573542
-
Modeling of heart excitation patterns caused by a local inhomogeneity
-
Aliev, R. R. & Panfilov, A. V. (1996). Modeling of heart excitation patterns caused by a local inhomogeneity. J. Theor. Biol. 181, 33-40.
-
(1996)
J. Theor. Biol.
, vol.181
, pp. 33-40
-
-
Aliev, R.R.1
Panfilov, A.V.2
-
2
-
-
0000827326
-
Pattern formation in composite excitable media
-
Bär, M., Kevrekidis, I. G., Rotermund, H. H. & Ertl, G. (1995). Pattern formation in composite excitable media. Phys. Rev. E 52, R5739-R5742.
-
(1995)
Phys. Rev. E
, vol.52
-
-
Bär, M.1
Kevrekidis, I.G.2
Rotermund, H.H.3
Ertl, G.4
-
3
-
-
0030433449
-
Modeling of cardiac electrophysiological mechanisms-from action-potential genesis to its propagation in myiocardium
-
Bardou, A. L., Auger, P. M., Birkui, P. J. & Chasse, J. L. (1996). Modeling of cardiac electrophysiological mechanisms-from action-potential genesis to its propagation in myiocardium. Crit. Rev. Biomed. Eng. 24, 141-221.
-
(1996)
Crit. Rev. Biomed. Eng.
, vol.24
, pp. 141-221
-
-
Bardou, A.L.1
Auger, P.M.2
Birkui, P.J.3
Chasse, J.L.4
-
4
-
-
0031207518
-
Front bifurcation in reaction-diffusion systems with inhomogeneous parameter distributions
-
Bode, M. (1997). Front bifurcation in reaction-diffusion systems with inhomogeneous parameter distributions. Physica D 106, 270-286.
-
(1997)
Physica D
, vol.106
, pp. 270-286
-
-
Bode, M.1
-
5
-
-
0016444040
-
Perturbation analysis of an approximation to the Hodgkin-Huxley Theory
-
Casten, 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
-
-
Casten, R.G.1
Cohen, H.2
Lagerstrom, P.A.3
-
6
-
-
12044252828
-
Pattern formation outside of equilibrium
-
Cross, M. C. & Hohenberg, P. C. (1993). Pattern formation outside of equilibrium. Rev. Mod. Phys. 65, 851-1112 .
-
(1993)
Rev. Mod. Phys.
, vol.65
, pp. 851-1112
-
-
Cross, M.C.1
Hohenberg, P.C.2
-
7
-
-
0025094062
-
Impulse patterning and relaxational propagation in excitable media
-
Elphick, C., Meron, E., Rinzel, J. & Spiegel, E. A. (1990). Impulse patterning and relaxational propagation in excitable media. J. Theor. Biol. 146, 249-268.
-
(1990)
J. Theor. Biol.
, vol.146
, pp. 249-268
-
-
Elphick, C.1
Meron, E.2
Rinzel, J.3
Spiegel, E.A.4
-
8
-
-
0013544013
-
Autowave propagation in a piecewise linearized Schlögl model with inhomogeneously distributed catalyst
-
Enderlein, J. (1991). Autowave propagation in a piecewise linearized Schlögl model with inhomogeneously distributed catalyst. Phys. Lett. A 156, 429-435.
-
(1991)
Phys. Lett. A
, vol.156
, pp. 429-435
-
-
Enderlein, J.1
-
9
-
-
0030216813
-
Reflected waves in an inhomogeneous excitable medium
-
Ermentrout, G. B. & Rinzel, J. (1996). Reflected waves in an inhomogeneous excitable medium. SIAM J. Appl. Math. 56, 1107-1128.
-
(1996)
SIAM J. Appl. Math.
, vol.56
, pp. 1107-1128
-
-
Ermentrout, G.B.1
Rinzel, J.2
-
10
-
-
53349102813
-
Inpulses and physiological states in theoretical models of nerve membrane
-
Fitzhugh, R. (1961). Inpulses and physiological states in theoretical models of nerve membrane. Biophys. J. 1, 445-466.
-
(1961)
Biophys. J.
, vol.1
, pp. 445-466
-
-
Fitzhugh, R.1
-
12
-
-
0001270060
-
Resetting and annihilation of reentrant abnormally rapid heartbeat
-
Glass, L. & Josephson, M. E. (1995). Resetting and annihilation of reentrant abnormally rapid heartbeat. Phys. Rev. Lett. 75, 2059-2062.
-
(1995)
Phys. Rev. Lett.
, vol.75
, pp. 2059-2062
-
-
Glass, L.1
Josephson, M.E.2
-
13
-
-
0004199226
-
-
and references therein. Princeton: Princeton University Press
-
Glass, L. & Mackey, M. C. (1988). From Clocks to Chaos pp. 144-171, and references therein. Princeton: Princeton University Press.
-
(1988)
From Clocks to Chaos
, pp. 144-171
-
-
Glass, L.1
Mackey, M.C.2
-
14
-
-
0013545008
-
Wave trains, shock fronts and transition layers in reaction-diffusion equations
-
(Cohen, D. S., ed.). Providence, RI: Am. Math. Soc.
-
Howard, L. N. & Koppel, N. (1974). Wave trains, shock fronts and transition layers in reaction-diffusion equations. In: Mathematical Aspects of Chemical and Biochemical Problems, and Quantum Chemistry. SIAM-AMS Proc. Vol 8, (Cohen, D. S., ed.). Providence, RI: Am. Math. Soc.
-
(1974)
Mathematical Aspects of Chemical and Biochemical Problems, and Quantum Chemistry. SIAM-AMS Proc.
, vol.8
-
-
Howard, L.N.1
Koppel, N.2
-
16
-
-
0000058225
-
Subthreshold dynamics in periodically stimulated squid axons
-
Kaplan, D. T., Clay, J. R., Manning, T., Glass, L., Guevara, M. R. & Shrier, A. (1996). Subthreshold dynamics in periodically stimulated squid axons. Phys. Rev. Lett. 76, 4074-4077.
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 4074-4077
-
-
Kaplan, D.T.1
Clay, J.R.2
Manning, T.3
Glass, L.4
Guevara, M.R.5
Shrier, A.6
-
17
-
-
0001543317
-
Waves in excitable media
-
Keener, J. P. (1980). Waves in excitable media. SIAM J. Appl. Math. 39, 528-548.
-
(1980)
SIAM J. Appl. Math.
, vol.39
, pp. 528-548
-
-
Keener, J.P.1
-
18
-
-
0029922466
-
Direct activation and defibrillation in cardiac tissue
-
Keener, J. P. (1996). Direct activation and defibrillation in cardiac tissue. J. Theor. Biol. 178, 313-324.
-
(1996)
J. Theor. Biol.
, vol.178
, pp. 313-324
-
-
Keener, J.P.1
-
19
-
-
0000588222
-
Plane wave solutions in reaction diffusion equations
-
Koppel, N. & Howard, L. N. (1973). Plane wave solutions in reaction diffusion equations. Stud. Appl. Math. 52, 291-328.
-
(1973)
Stud. Appl. Math.
, vol.52
, pp. 291-328
-
-
Koppel, N.1
Howard, L.N.2
-
20
-
-
0001852606
-
On the influence of inhomogeneities in a reaction-diffusion system
-
Kulka, A., Bode, M. & Purvins, H.-G. (1995). On the influence of inhomogeneities in a reaction-diffusion system. Phys. Lett. A 203, 33-39.
-
(1995)
Phys. Lett. A
, vol.203
, pp. 33-39
-
-
Kulka, A.1
Bode, M.2
Purvins, H.-G.3
-
21
-
-
0029152073
-
Overdrive suppression of spontaneously beating chick heart cell aggregates-experiment and theory
-
Kunysz, A., Glass, L. & Shrier, L. (1995). Overdrive suppression of spontaneously beating chick heart cell aggregates-experiment and theory. Am. J. of Physiol.-Heart and Circul. Physiol. 38, H1153-H1164.
-
(1995)
Am. J. of Physiol.-Heart and Circul. Physiol.
, vol.38
-
-
Kunysz, A.1
Glass, L.2
Shrier, L.3
-
22
-
-
0001039818
-
Pattern formation on a nonuniformity active ring
-
Liauw, M.A., Ning, J. & Luss, D. (1996). Pattern formation on a nonuniformity active ring. J. Chem. Phys. 104, 5657-5662.
-
(1996)
J. Chem. Phys.
, vol.104
, pp. 5657-5662
-
-
Liauw, M.A.1
Ning, J.2
Luss, D.3
-
23
-
-
0000615910
-
The development of mathematical models of heart
-
Noble, D. (1995). The development of mathematical models of heart. Chaos, Solitons and Fractals 5, 321-333.
-
(1995)
Chaos, Solitons and Fractals
, vol.5
, pp. 321-333
-
-
Noble, D.1
-
24
-
-
0001558564
-
Theory of propagation of discontinuities in kinetic systems with multiple time scales: Fronts, front multiplicity and pulses
-
Ortoleva, P. & Ross, J. (1975). Theory of propagation of discontinuities in kinetic systems with multiple time scales: Fronts, front multiplicity and pulses. J. Chem. Phys. 63, 3398-3408.
-
(1975)
J. Chem. Phys.
, vol.63
, pp. 3398-3408
-
-
Ortoleva, P.1
Ross, J.2
-
25
-
-
0000748686
-
Forced Bonhoeffer Van der Pol oscillator in its excited mode
-
Rabinovitch, A., Thieberger, R. & Friedman, M. (1994). Forced Bonhoeffer Van der Pol oscillator in its excited mode. Phys. Rev. E 50, 1572-1578.
-
(1994)
Phys. Rev. E
, vol.50
, pp. 1572-1578
-
-
Rabinovitch, A.1
Thieberger, R.2
Friedman, M.3
-
26
-
-
0022318413
-
Phase resetting and annihilation in a mathematical model of the sinus node
-
Reiner, V. S. & Antzelevitch, C. (1985). Phase resetting and annihilation in a mathematical model of the sinus node. Am. J. Physiol. 249, H1143-H1153.
-
(1985)
Am. J. Physiol.
, vol.249
-
-
Reiner, V.S.1
Antzelevitch, C.2
-
27
-
-
0002453062
-
Analysis of neural excitability and oscillation
-
Koch, C. & Segev, I., eds. Cambridge: MIT Press
-
Rinzel, J. & Ermentrout, G. B. (1989). Analysis of neural excitability and oscillation. In: Methods in Neuronal Modelling (Koch, C. & Segev, I., eds) pp. 135-169. Cambridge: MIT Press.
-
(1989)
Methods in Neuronal Modelling
, pp. 135-169
-
-
Rinzel, J.1
Ermentrout, G.B.2
-
28
-
-
0015719581
-
Traveling wave solutions of a nerve conduction equation
-
Rinzel, J. & Keller, J. B. (1973). Traveling wave solutions of a nerve conduction equation. Biophys. J. 13, 1313-1337.
-
(1973)
Biophys. J.
, vol.13
, pp. 1313-1337
-
-
Rinzel, J.1
Keller, J.B.2
-
29
-
-
0013475567
-
Traveling wave solutions of a simple nerve conduction equation for inhomogeneous axons
-
Holden, A. V., Markus, M. & Othmer, H., eds. New York: Plenum
-
Schierwagen, A. K. (1991). Traveling wave solutions of a simple nerve conduction equation for inhomogeneous axons. In: Nonlinear Waves in Excitable Media (Holden, A. V., Markus, M. & Othmer, H., eds) pp. 107-114. New York: Plenum.
-
(1991)
Nonlinear Waves in Excitable Media
, pp. 107-114
-
-
Schierwagen, A.K.1
-
30
-
-
0028034054
-
Exploiting the computational capabilities of single neurons by continuous cable modeling
-
Schierwagen, A. K. (1994). Exploiting the computational capabilities of single neurons by continuous cable modeling. Prog. Brain Res. 102, 151-167.
-
(1994)
Prog. Brain Res.
, vol.102
, pp. 151-167
-
-
Schierwagen, A.K.1
-
31
-
-
0001400890
-
Bifurcations of front dynamics in a reaction-diffusion system with spatial inhomogeneities
-
Schütz, P., Bode, M. & Purvins, H.-G. (1995). Bifurcations of front dynamics in a reaction-diffusion system with spatial inhomogeneities. Physica D 82, 382-397.
-
(1995)
Physica D
, vol.82
, pp. 382-397
-
-
Schütz, P.1
Bode, M.2
Purvins, H.-G.3
-
32
-
-
43949148315
-
Vulnerability in one-dimensional excitable media
-
Starobin, J., Zilberter, Y. I. & Starmer, C. F. (1994). Vulnerability in one-dimensional excitable media. Physica D 70, 321-341.
-
(1994)
Physica D
, vol.70
, pp. 321-341
-
-
Starobin, J.1
Zilberter, Y.I.2
Starmer, C.F.3
-
33
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media
-
Tyson, J. J. & Keener, J. P. (1988). Singular perturbation theory of traveling waves in excitable media. Physica D 32, 327-361.
-
(1988)
Physica D
, vol.32
, pp. 327-361
-
-
Tyson, J.J.1
Keener, J.P.2
-
34
-
-
0028362541
-
Study of propagation along nonuniform excitable fibers
-
and references therein
-
Zhou, Y. & Bell, J. (1994). Study of propagation along nonuniform excitable fibers. Math. Biosci. 119, 169-203, and references therein.
-
(1994)
Math. Biosci.
, vol.119
, pp. 169-203
-
-
Zhou, Y.1
Bell, J.2
|