-
1
-
-
0018832216
-
Characteristics of reflection as a mechanism of reentrant arrhythmias and its relationship to parasystole
-
J. ANTZELEVITCH, C JALIFE, AND G. K. MOE, Characteristics of reflection as a mechanism of reentrant arrhythmias and its relationship to parasystole, Circulation, 61 (1980), pp. 182-191.
-
(1980)
Circulation
, vol.61
, pp. 182-191
-
-
ANTZELEVITCH, J.1
JALIFE, C.2
MOE, G.K.3
-
2
-
-
0032493280
-
Synaptic facilitation by reflected action potentials: Enhancement of transmission when nerve impulses reverse direction at axon branch points
-
S. A. BACCUS, Synaptic facilitation by reflected action potentials: Enhancement of transmission when nerve impulses reverse direction at axon branch points, Proc. Natl. Acad. Sci. USA, 95 (1998), pp. 8345-8350.
-
(1998)
Proc. Natl. Acad. Sci. USA
, vol.95
, pp. 8345-8350
-
-
BACCUS, S.A.1
-
3
-
-
0017370379
-
Reconstruction of the action potential of ventricular myocardial fibers
-
G. W. BEELER AND H. J. REUTER, Reconstruction of the action potential of ventricular myocardial fibers, J. Phys., 268 (1977), pp. 177-210.
-
(1977)
J. Phys
, vol.268
, pp. 177-210
-
-
BEELER, G.W.1
REUTER, H.J.2
-
4
-
-
0026684514
-
Reflection after delayed excitation in a computer model of a single fiber
-
C. CABO AND R. C. BARR, Reflection after delayed excitation in a computer model of a single fiber, Circ. Res., 71 (1992), pp. 260-270.
-
(1992)
Circ. Res
, vol.71
, pp. 260-270
-
-
CABO, C.1
BARR, R.C.2
-
5
-
-
0010863128
-
A geometric approach to singular perturbation problems with applications to nerve impulse equations
-
G. A. CARPENTER, A geometric approach to singular perturbation problems with applications to nerve impulse equations, J. Differential Equations, 23 (1977), pp. 335-367.
-
(1977)
J. Differential Equations
, vol.23
, pp. 335-367
-
-
CARPENTER, G.A.1
-
6
-
-
0016444040
-
Perturbation analysis of an approximation to the Hodgkin-Huxley theory
-
R. G. GASTEN, H. COHEN, AND P. A. LAGERSTROM, Perturbation analysis of an approximation to the Hodgkin-Huxley theory, Quart. Appl. Math., 32 (1974), pp. 365-402.
-
(1974)
Quart. Appl. Math
, vol.32
, pp. 365-402
-
-
GASTEN, R.G.1
COHEN, H.2
LAGERSTROM, P.A.3
-
7
-
-
0036710122
-
Stability conditions for the traveling pulse: Modifying the restitution hypothesis
-
E. CYTRYNBAUM AND J. P. KEENER., Stability conditions for the traveling pulse: Modifying the restitution hypothesis, Chaos, 12 (2002), pp. 788-799.
-
(2002)
Chaos
, vol.12
, pp. 788-799
-
-
CYTRYNBAUM, E.1
KEENER, J.P.2
-
8
-
-
0019121995
-
One-dimensional A -w target patterns: Empirical stability tests
-
G. B. ERMENTROUT AND J. RINZEL, One-dimensional A -w target patterns: Empirical stability tests, J. Math. Biol, 10 (1980), pp. 97-100.
-
(1980)
J. Math. Biol
, vol.10
, pp. 97-100
-
-
ERMENTROUT, G.B.1
RINZEL, J.2
-
9
-
-
0030216813
-
Reflected waves in an inhomogeneous excitable medium
-
G. B. ERMENTROUT AND J. RINZEL, Reflected waves in an inhomogeneous excitable medium, SIAM J. Appl. Math., 56 (1996), pp. 1107-1128.
-
(1996)
SIAM J. Appl. Math
, vol.56
, pp. 1107-1128
-
-
ERMENTROUT, G.B.1
RINZEL, J.2
-
10
-
-
0017637590
-
The approach of solutions of nonlinear diffusion equations to travelling front solutions
-
P. C. FIFE AND J. B. MCLEOD, The approach of solutions of nonlinear diffusion equations to travelling front solutions, Arch. Ration. Mech. Anal, 65 (1977), pp. 335-361.
-
(1977)
Arch. Ration. Mech. Anal
, vol.65
, pp. 335-361
-
-
FIFE, P.C.1
MCLEOD, J.B.2
-
11
-
-
53349102813
-
Impulses and physiological states in theoretical models of nerve membrane
-
R. FITZHUGH, Impulses and physiological states in theoretical models of nerve membrane, Biophys. J., 1 (1961), pp. 445-466.
-
(1961)
Biophys. J
, vol.1
, pp. 445-466
-
-
FITZHUGH, R.1
-
12
-
-
0002721581
-
Mathematical models of excitation and propagation in nerve
-
Engineering, H. P. Schwan, ed, McGraw-Hill, New York
-
R. FITZHUGH, Mathematical models of excitation and propagation in nerve, in Biological Engineering, H. P. Schwan, ed., McGraw-Hill, New York, 1969, pp. 1-85.
-
(1969)
Biological
, pp. 1-85
-
-
FITZHUGH, R.1
-
13
-
-
0343853239
-
The stable manifold of the standing wave of the Nagumo equation
-
G. FLORES, The stable manifold of the standing wave of the Nagumo equation, J. Differential Equations, 80 (1989), pp. 306-314.
-
(1989)
J. Differential Equations
, vol.80
, pp. 306-314
-
-
FLORES, G.1
-
14
-
-
0010928907
-
Stability analysis for the slow traveling pulse of the FitzHugh-agumo system
-
G. FLORES, Stability analysis for the slow traveling pulse of the FitzHugh-agumo system, SIAM J. Math. Anal., 22 (1991), pp. 392-399.
-
(1991)
SIAM J. Math. Anal
, vol.22
, pp. 392-399
-
-
FLORES, G.1
-
15
-
-
0001270060
-
Resetting and annihilation of reentrant abnormally rapid heartbeat
-
L. GLASS AND M. E. JOSEPHSON, Resetting and annihilation of reentrant abnormally rapid heartbeat, Phys. Rev. Lett., 75 (1995), pp. 2059-2062.
-
(1995)
Phys. Rev. Lett
, vol.75
, pp. 2059-2062
-
-
GLASS, L.1
JOSEPHSON, M.E.2
-
16
-
-
0016289012
-
Changes of action potential shape and velocity for changing core conductor geometry
-
S. S. GOLDSTEIN AND W. RALL, Changes of action potential shape and velocity for changing core conductor geometry, Biophys. J., 14 (1974), pp. 731-757.
-
(1974)
Biophys. J
, vol.14
, pp. 731-757
-
-
GOLDSTEIN, S.S.1
RALL, W.2
-
17
-
-
0001371673
-
On the existence of homoclinic and periodic orbits for the FitzHugh-Nagumo equations
-
S. P. HASTINGS, On the existence of homoclinic and periodic orbits for the FitzHugh-Nagumo equations, Quart. J. Math. Oxford Ser. (2), 27 (1976), pp. 123-134.
-
(1976)
Quart. J. Math. Oxford Ser. (2)
, vol.27
, pp. 123-134
-
-
HASTINGS, S.P.1
-
18
-
-
35649001607
-
A quantitative description of membrane current and its application to conduction and excitation in nerve
-
A. L. HODGKIN AND A. F. HUXLEY, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Phys., 117 (1952), pp. 500-544.
-
(1952)
J. Phys
, vol.117
, pp. 500-544
-
-
HODGKIN, A.L.1
HUXLEY, A.F.2
-
19
-
-
0017145698
-
Impulses reflected from dorsal root ganglia and from focal nerve injuries
-
J. F. HOWE, W. H. CALVIN, AND J. D. LOESER, Impulses reflected from dorsal root ganglia and from focal nerve injuries, Brain Research, 116 (1976), pp. 139-144.
-
(1976)
Brain Research
, vol.116
, pp. 139-144
-
-
HOWE, J.F.1
CALVIN, W.H.2
LOESER, J.D.3
-
20
-
-
0019500875
-
Excitation, conduction, and reflection of impulses in isolated bovine and canine Purkinje fibers
-
J. JALIFE AND G. K. MOE, Excitation, conduction, and reflection of impulses in isolated bovine and canine Purkinje fibers, Circ. Res., 49 (1981), pp. 233-247.
-
(1981)
Circ. Res
, vol.49
, pp. 233-247
-
-
JALIFE, J.1
MOE, G.K.2
-
21
-
-
84967743294
-
Stability of the traveling wave solution of the FitzHugh-Nagumo system
-
C. K. R. T. JONES, Stability of the traveling wave solution of the FitzHugh-Nagumo system, Trans. Amer. Math. Soc., 286 (1984), pp. 431-469.
-
(1984)
Trans. Amer. Math. Soc
, vol.286
, pp. 431-469
-
-
JONES, C.K.R.T.1
-
22
-
-
0003919106
-
-
Interdiscip. Appl. Math. 8, Springer-Verlag, New York
-
J. KEENER, AND J. SNEYD, Mathematical Physiology, Interdiscip. Appl. Math. 8, Springer-Verlag, New York, 1998.
-
(1998)
Mathematical Physiology
-
-
KEENER, J.1
SNEYD, J.2
-
23
-
-
4444334417
-
The topology of defibrillation
-
J. P. KEENER, The topology of defibrillation, J. Theoret. Biol, 230 (2004), pp. 459-473.
-
(2004)
J. Theoret. Biol
, vol.230
, pp. 459-473
-
-
KEENER, J.P.1
-
24
-
-
0037567227
-
The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue
-
J. P. KEENER AND E. CYTRYNBAUM, The effect of spatial scale of resistive inhomogeneity on defibrillation of cardiac tissue, J. Theoret. Biol, 223 (2003), pp. 233-248.
-
(2003)
J. Theoret. Biol
, vol.223
, pp. 233-248
-
-
KEENER, J.P.1
CYTRYNBAUM, E.2
-
25
-
-
0033533377
-
The biphasic mystery: Why a biphasic shock is more effective than a monophasic shock for defibrillation
-
J. P. KEENER AND T. J. LEWIS, The biphasic mystery: Why a biphasic shock is more effective than a monophasic shock for defibrillation, J. Theoret. Biol., 200 (1999), pp. 1-17.
-
(1999)
J. Theoret. Biol
, vol.200
, pp. 1-17
-
-
KEENER, J.P.1
LEWIS, T.J.2
-
26
-
-
0013141409
-
Target patterns and horseshoes from a perturbed central-force problem: Some temporally periodic solutions to reaction-diffusion equations
-
N. KOPELL AND L. N. HOWARD, Target patterns and horseshoes from a perturbed central-force problem: Some temporally periodic solutions to reaction-diffusion equations, Stud. Appl. Math., 64 (1981), pp. 1-56.
-
(1981)
Stud. Appl. Math
, vol.64
, pp. 1-56
-
-
KOPELL, N.1
HOWARD, L.N.2
-
27
-
-
38649085284
-
Resetting and termination of reentry in a loop-and-tail cardiac model
-
T. KROGH-MADSEN AND D. J. CHRISTINI, Resetting and termination of reentry in a loop-and-tail cardiac model, Phys. Rev. E (3), 77 (2008), 011916.
-
(2008)
Phys. Rev. E
, vol.77
, Issue.3
, pp. 011916
-
-
KROGH-MADSEN, T.1
CHRISTINI, D.J.2
-
28
-
-
63049084067
-
-
Ph.D. thesis, University of Utah, Salt Lake City, UT
-
T. J. LEWIS, The Effects of Nonexcitable Regions on Signal Propagation in Excitable Media: Propagation Failure and Reflection, Ph.D. thesis, University of Utah, Salt Lake City, UT, 1998.
-
(1998)
The Effects of Nonexcitable Regions on Signal Propagation in Excitable Media: Propagation Failure and Reflection
-
-
LEWIS, T.J.1
-
30
-
-
0000688571
-
Nagumo's equation
-
H. P. MCKEAN, Nagumo's equation, Adv. Math., 4 (1970), pp. 209-223.
-
(1970)
Adv. Math
, vol.4
, pp. 209-223
-
-
MCKEAN, H.P.1
-
31
-
-
0025502837
-
Calculation of the threshold surf ace for nerve equations
-
V. MOLL AND S. I. ROSENCRANS, Calculation of the threshold surf ace for nerve equations, SIAM J. Appl. Math., 50 (1990), pp. 1419-1441.
-
(1990)
SIAM J. Appl. Math
, vol.50
, pp. 1419-1441
-
-
MOLL, V.1
ROSENCRANS, S.I.2
-
32
-
-
0019405994
-
Voltage oscillations in the barnacle giant muscle fiber
-
C. MORRIS AND H. LEGAR, Voltage oscillations in the barnacle giant muscle fiber, Biophys. J., 35 (1981), pp. 193-213.
-
(1981)
Biophys. J
, vol.35
, pp. 193-213
-
-
MORRIS, C.1
LEGAR, H.2
-
33
-
-
6344238035
-
An active pulse transmission line simulating nerve axon
-
J. S. NAGUMO, S. ARIMOTO, AND S. YOSHIZAWA, An active pulse transmission line simulating nerve axon, in Proceedings of the Institute of Radio Engineers, 50 (1962), pp. 2061-2071.
-
(1962)
Proceedings of the Institute of Radio Engineers
, vol.50
, pp. 2061-2071
-
-
NAGUMO, J.S.1
ARIMOTO, S.2
YOSHIZAWA, S.3
-
34
-
-
0000288874
-
Initiation of propagation in a one-dimensional excitable medium
-
J. C. NEU, R. S. PREISSIG, AND W. KRASSOWSKA, Initiation of propagation in a one-dimensional excitable medium, Phys. D, 102 (1997), pp. 285-299.
-
(1997)
Phys. D
, vol.102
, pp. 285-299
-
-
NEU, J.C.1
PREISSIG, R.S.2
KRASSOWSKA, W.3
-
35
-
-
0000002664
-
Rotating spiral waves in a modified FitzHugh-Nagumo model
-
A. M. PERTSOV, E. A. ERMAKOVA, AND A. V. PANFILOV, Rotating spiral waves in a modified FitzHugh-Nagumo model, Phys. D, 14 (1984), pp. 117-124.
-
(1984)
Phys. D
, vol.14
, pp. 117-124
-
-
PERTSOV, A.M.1
ERMAKOVA, E.A.2
PANFILOV, A.V.3
-
36
-
-
0016659341
-
Propagation of action potentials in inhomogeneous axon regions
-
F. RAMON, R. W. JOYNER, AND J. W. MOORE, Propagation of action potentials in inhomogeneous axon regions, Federation Proc., 34 (1975), pp. 1357-1363.
-
(1975)
Federation Proc
, vol.34
, pp. 1357-1363
-
-
RAMON, F.1
JOYNER, R.W.2
MOORE, J.W.3
-
37
-
-
0022332422
-
Excitation dynamics: Insights from simplified membrane models
-
J. RINZEL, Excitation dynamics: Insights from simplified membrane models, Federation Proc., 44 (1985), pp. 2944-2946.
-
(1985)
Federation Proc
, vol.44
, pp. 2944-2946
-
-
RINZEL, J.1
-
38
-
-
0015719581
-
Traveling wave solutions of a nerve conduction equation
-
J. RINZEL AND J. B. KELLER, Traveling wave solutions of a nerve conduction equation, J. Biophys., 13 (1973), pp. 1313-1337.
-
(1973)
J. Biophys
, vol.13
, pp. 1313-1337
-
-
RINZEL, J.1
KELLER, J.B.2
-
39
-
-
0021360617
-
Reflected reentry in nonhomogeneous ventricular muscle as a mechanism of cardiac arrhythmias
-
G. J. ROZANSKL, J. JALIFE, AND G. K. MOE, Reflected reentry in nonhomogeneous ventricular muscle as a mechanism of cardiac arrhythmias, Circulation, 69 (1984), pp. 163-173.
-
(1984)
Circulation
, vol.69
, pp. 163-173
-
-
ROZANSKL, G.J.1
JALIFE, J.2
MOE, G.K.3
-
40
-
-
2942682726
-
Defects in oscillatory media: Toward a classification
-
B. SANDSTEDE AND A. SCHEEL, Defects in oscillatory media: Toward a classification, SIAM J. Appl. Dyn. Syst., 3 (2004), pp. 1-68.
-
(2004)
SIAM J. Appl. Dyn. Syst
, vol.3
, pp. 1-68
-
-
SANDSTEDE, B.1
SCHEEL, A.2
-
41
-
-
85036254197
-
Termination of reentry in an inhomogeneous ring of model cardiac cells
-
S. SINHA AND D. J. CHRISTINI, Termination of reentry in an inhomogeneous ring of model cardiac cells, Phys. Rev. E (3), 66 (2002), 061903.
-
(2002)
Phys. Rev. E
, vol.66
, Issue.3
, pp. 061903
-
-
SINHA, S.1
CHRISTINI, D.J.2
-
42
-
-
0027363517
-
Vulnerability in homogeneous excitable media: Analytical and numerical studies of unidirectional propagation
-
C. F. STARMER, V. N. BIKTASHEV, D. N. ROMASHKO, M. R. STEPANOV, O. N. MAKAROVA, V. I. KRINSKY, M. R. STEPANOV, O. N. MAKAROVA, AND V. I. KRINSKY, Vulnerability in homogeneous excitable media: Analytical and numerical studies of unidirectional propagation, J. Biophys., 65 (1993), pp. 1775-1787.
-
(1993)
J. Biophys
, vol.65
, pp. 1775-1787
-
-
STARMER, C.F.1
BIKTASHEV, V.N.2
ROMASHKO, D.N.3
STEPANOV, M.R.4
MAKAROVA, O.N.5
KRINSKY, V.I.6
STEPANOV, M.R.7
MAKAROVA, O.N.8
KRINSKY, V.I.9
-
43
-
-
0037487285
-
Virtual electrode induced positive and negative graded response: New insights into fibrillation induction and defibrillation
-
N. TRAYANOVA, R. GRAY, D. BOURN, AND J. EASON, Virtual electrode induced positive and negative graded response: New insights into fibrillation induction and defibrillation, J. Cardiovasc. Electrophys., 14 (2003), pp. 756-763.
-
(2003)
J. Cardiovasc. Electrophys
, vol.14
, pp. 756-763
-
-
TRAYANOVA, N.1
GRAY, R.2
BOURN, D.3
EASON, J.4
-
44
-
-
45449123944
-
Singular perturbation theory of traveling waves in excitable media (a review)
-
J. J. TYSON AND J. P. KEENER, Singular perturbation theory of traveling waves in excitable media (a review), Phys. D, 32 (1988), pp. 327-361.
-
(1988)
Phys. D
, vol.32
, pp. 327-361
-
-
TYSON, J.J.1
KEENER, J.P.2
-
46
-
-
0024405823
-
Electrical instability in cardiac muscle: Phase singularities and rotors
-
A. T. WINFREE, Electrical instability in cardiac muscle: Phase singularities and rotors, J. Theoret. Biol., 138 (1989), pp. 353-405.
-
(1989)
J. Theoret. Biol
, vol.138
, pp. 353-405
-
-
WINFREE, A.T.1
-
47
-
-
0001459584
-
Two forms of spiral-wave reentry in an ionic model of ischemic ventricular myocardium
-
A. XU AND M. R. GUEVARA, Two forms of spiral-wave reentry in an ionic model of ischemic ventricular myocardium, Chaos, 8 (1998), pp. 157-174.
-
(1998)
Chaos
, vol.8
, pp. 157-174
-
-
XU, A.1
GUEVARA, M.R.2
-
48
-
-
0028362541
-
Study of propagation along nonuniform excitable fibers
-
Y. ZHOU AND J. BELL, Study of propagation along nonuniform excitable fibers, Math. Biosci., 119 (1994), pp. 169-203.
-
(1994)
Math. Biosci
, vol.119
, pp. 169-203
-
-
ZHOU, Y.1
BELL, J.2
|