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References
- 1
-
A.L. Wit and M.J. Janse,
The ventricular arrhythmias of ischemia and infarction
(Futura Pub Co, Mount Kisco, NY, 1993)
- 2
-
N. ElSherif,
``Reentrant mechanisms in ventricular arrhythmias'',
in Cardiac Electrophysiology - from cell to Bedside,
edited by D.P. Zipes and J. Jalife
(W.B. Saunders & Co, Philadelphia 1995)
- 3
-
R.S. Damle, N.M. Kanaan, N.S. Robinson, Y.Z. Ge,
J.J. Goldberger and A.H. Kadish,
``Spatial and temporal linking of epicardial activation directions
during ventricular fibrillation in dogs. Evidence for underlying
organisation'',
Circulation,
86 1547-1558 (1992)
- 4
-
R.H. Clayton, A. Murray and R.W.F. Campbell,
``Evidence for electrical organisation during ventricular
fibrillation in the human heart'',
J. Cardiovasc. Electrophysiol.,
6 616-624 (1995)
- 5
-
J.M. Davidenko, P.F. Kent and J. Jalife,
``Spiral waves in normal isolated ventricular muscle'',
Physica D,
49 182-197 (1993)
- 6
-
A.L. Wit, M.A. Allessie, F.I.M. Bonke,
W. Lammers, J. Smeets and J.J. Fenoglio,
``Electrophysiological mapping to determine the mechanisms of
experimental ventricular tachycardia initiated by premature impulses.
Experimental approach and initial results demonstrating re-entrant
excitation'',
Am. J. Cardiology,
49 166-185 (1982)
- 7
-
S.D. Girouard, J.M. Pastore, K.R. Laurita,
K.W. Gregory and D.S. Rosenbaum,
``Optical mapping in a new guinea pig model of ventricular
tachycardia reveals mechanisms for multiple wavelengths in a single
reentrant circuit'',
Circulation,
93 603-513 (1996)
- 8
-
G. Beeler and H. Reuter,
``Reconstruction of the action potential of ventricular myocardial
fibres'',
J. Physiol. (Lond.),
268 963-977 (1989)
- 9
-
D. Noble,
Oxsoft HEART Version 3.8 manual
(Oxsoft, Oxford, 1990)
- 10
-
D. Noble, S.J. Noble, G.C.L. Bett, Y.E. Earm,
W.K. Ho and I.K. So,
``The role of sodium-calcium exchange during the cardiac action
potential'',
Ann. N.Y. Acad. Sci.,
639 334-353 (1991)
- 11
-
C. Nordin,
``Computer model of membrane current and intracellular
flux
in isolated guinea pig ventricular myocyte'',
Am. J. Physiol.,
265 H2117-H2136 (1993)
- 12
-
C.H Luo and Y. Rudy,
``A dynamic model of the ventricular cardiac action potential I&II'',
Circ. Res.,
74 1071-1096, 1097-1113 (1993)
- 13
-
J.L. Zeng, K.R. Laurita, D.S. Rosenbaum and Y. Rudy,
``Two components of the delayed rectifier K
current in
ventricular myocytes of the guinea pig type. Theoretical formulation
and their role in repolarization'',
Circ. Res.,
77 140-152 (1995)
- 14
-
D. Noble,
``The development of mathematical models of the heart'',
Chaos Solitons and Fractals,
5 321-333 (1995)
- 15
-
C. Antzelevitch, S. Sicouri, S.H. Litovsky,
A. Lukas S.C. Krishnan J.M. DiDiego, G.A. Gintant and D.W. Liu,
``Heterogeneity within the ventricular wall: electrophysiology and
pharmacology of epicardial, endocardial and M cells'',
Circ. Res., 69 1427-1449 (1991)
- 16
-
C. Antzelevitch, S. Sicouri, A. Lucas,
V.V. Nesterenko, D.W. Liu and J.M. DiDiego,
``Regional differences in the electrophysiology of ventricular cells:
physiological and clinical implications'',
in Cardiac Electrophysiology -- from Cell to Bedside,
edited by D.P. Zipes and J. Jalife
(W.B. Saunders & Co, Philadelphia, 1995)
- 17
-
V.N. Biktashev and A.V. Holden,
``Computation of re-entrant propagation in a two-dimensional model of
ventricular tissue simulating long QT syndrome'',
European Heart J.,
17 Abstract Supplement: 597 (1996)
- 18
-
M.R. Boyett, A. Clough, A.V. Holden and J. Hyde,
``Modelling cardiac excitation and excitability'',
in Computational Biology of the Heart,
edited by A.V. Panfilov and A.V. Holden
(John Wiley, Chichester, 1997)
- 19
-
V.N. Biktashev and A.V. Holden,
``Re-entrant activity and its control by resonant drift in a
two-dimensional model of isotropic homogeneous ventricular tissue'',
Proc. Roy. Soc. London B,
263 1373-1382 (1996)
- 20
-
M.L. Presser, P.N. Münster and X. Huang,
``Gap junction distribution in the heart: functional relevance'',
in Cardiac Electrophysiology - from cell to Bedside,
edited by D.P. Zipes and J. Jalife
(W.B. Saunders & Co, Philadelphia, 1995)
- 21
-
D.W. Frazier, P.D. Wolf, J.M. Wharton,
A.S.L. Tang, W.M. Smith and R.E. Ideker,
``Stimulus induced critical point: mechanism for the initiation of
reentry in normal canine myocardium'',
J. Clin. Invest.,
83 1039-1052 (1989)
- 22
-
A.M. Pertsov, J.M. Davidenko, R. Salomonsz,
W.T. Baxter and J. Jalife,
``Spiral waves of excitation underlie reentrant activity in isolated
cardiac muscle'',
Circ. Res.,
72 631-650 (1993)
- 23
-
B.J. Roth and W. Krassowska,
``The induction of reentry in cardiac tissue'',
Chaos,
this volume (1998)
- 24
-
C.F. Starmer, V.N. Biktashev, D.N. Romashko,
M.R. Stepanov, O.N. Makarova and V.I. Krinsky,
``Vulnerability in an Excitable Medium: Analytical and Numerical
Studies of Initiating Unidirectional Propagation'',
Biophys. J.,
65 1775-1787 (1993)
- 25
-
I.R. Efimov, V.I. Krinsky and J. Jalife,
``Dynamics of rotating vortices in the Beeler-Reuter model of cardiac
tissue'',
Chaos Solitons and Fractals,
5 513-526 (1995)
- 26
-
M. Courtemanche and A.T. Winfree,
``Re-entrant rotating waves in a Beeler-Reuter model of
two-dimensional cardiac electrical activity'',
Int. J. Bifurcation and Chaos,
1 431-444 (1991)
- 27
-
D.N. Romashko and C.F. Starmer,
``Numerical experiments in a modified Beeler-Reuter cable model --
initiating fast (Na) and slow (Ca) waves'',
Chaos Solitons & Fractals,
5 417-424 (1995)
- 28
-
S. Rohr and J.P. Kucera,
``Involvement of the calcium inward current in cardiac impulse
propagation: induction of unidirectional conduction block by Nifedipine
and reversal by Bay K 8644'',
Biophys. J.,
72 754-766 (1997)
- 29
-
V.A. Davydov, V.S. Zykov, A.S. Mikhailov and P.K. Brazhnik,
``Drift and resonance of spiral waves in active media'',
Radiofizika,
31 574-582 (1988)
- 30
-
V.N. Biktashev and A.V. Holden,
``Resonant drift of autowave vortices in two dimensions and the
effects of boundaries and inhomogeneities'',
Chaos Solitons and Fractals,
5 575-622 (1995)
- 31
-
V.N. Biktashev and A.V. Holden,
``Resonant drift of an autowave vortex in a bounded medium'',
Phys. Lett. A,
181 216-224 (1993)
- 32
-
V.N. Biktashev and A.V. Holden,
``Control of reentrant activity in a model of mammalian atrial tissue'',
Proc. Roy. Soc. London B,
260 211-217 (1995)
- 33
-
V.N. Biktashev and A.V. Holden,
``Design principles for a low voltage cardiac defibrillator based on
the effect of feedback resonant drift'',
J. Theor. Biol.,
169 101-112 (1994)
- 34
-
W. Krassowska and J.C. Neu,
``Response of a single cell to an external electric field'',
Biophys. J.,
66 1768-1776 (1994)
- 35
-
A. Pumir and V. Krinsky,
``How does an electric current defibrillate cardiac muscle'',
Physica D,
91 205-219 (1996)
- 36
-
J.P. Keener,
``Direct activation and defibrillation of cardiac tissue'',
J. Theor. Biol.,
178 313-324 (1996)
- 37
-
V. Krinsky and A. Pumir,
``Models of defibrillation of cardiac tissue'',
Chaos,
this volume (1998)
- 38
-
V.N. Biktashev, A.V. Holden and H. Zhang,
``Modelling the defibrillation of ventricular tissue'',
Int. J. Bifurcation & Chaos,
7 to appear (1997)
- 39
-
F.X. Witowski, P.A. Penkoske and R. Plonsey,
``Mechanism of cardiac defibrillation in open-chest dogs with unipolar
dc-coupled simultaneous activation and shock potential recordings'',
Circulation,
82 244-260 (1990)
- 40
-
R. Plonsey and R.C. Barr,
``Effect of microscopic and macroscopic discontinuities on the
response of cardiac tissue to defibrillating (stimulating) currents'',
Med. & Biol. Eng. & Comput.,
24 130-136 (1986)
- 41
-
P.C. Fife,
``Pattern formation in reacting and diffusing systems'',
J. Chem. Phys.,
64 554-564 (1976)
- 42
-
M. Vinson, A. Pertsov and J. Jalife,
``Anchoring of vortex filaments in 3D excitable media'',
Physica D,
72 119-134 (1994)
- 43
-
A.T. Winfree and S.H. Strogatz,
``Singular filaments organize chemical waves in three dimensions'', I-IV
Physica D,
8 35-49;
9 65-80,
333-345;
13 221-233 (1983-1984)
- 44
-
J.P. Keener,
``The dynamics of three dimensional scroll waves in excitable
media'',
Physica D,
31 269-276 (1988)
- 45
-
V.N. Biktashev, A.V. Holden and H. Zhang,
``Tension of Organizing Filaments of Scroll Waves'',
Phil. Trans. Roy. Soc. London, ser A,
347 611-630 (1994)
- 46
-
A.V. Holden,
``The restless heart of a spiral'',
Nature,
397 655-657 (1997)
- 47
-
A.V. Panfilov and J.P. Keener,
``Generation of re-entry in anisotropic myocardium'',
J. Cardiovasc. Electrophysiol.,
4 412-421 (1993)
- 48
-
A.V. Panfilov and J.P. Keener,
``Re-entry in three-dimensional FitzHugh-Nagumo medium with rotational
anisotropy'',
Physica D,
84 545-552 (1995)
- 49
-
A.T. Winfree,
``Electrical turbulence in 3-dimensional heart muscle'',
Science,
266 1003-1006 (1994)
- 50
-
J.M. Davidenko, A.M. Pertsov, R. Salomonsz, W. Baxter and J. Jalife,
``Stationary and drifting spiral waves of excitation in isolated
cardiac muscle'',
Nature,
355 349-351 (1992)
- 51
-
J. Jalife, R.A. Gray, G.E. Morley and J.M. Davidenko,
``Self organisation and the dynamical nature of ventricular
fibrillation'',
Chaos,
this volume (1998)
Vadim Biktashev
Sun Sep 28 05:44:10 GMT 1997