Research Interests:Mathematical biology: waves in excitable media
Areas of Interest:
nonlinear dynamics and chaos waves in excitable media delay differential equations cardiac electrophysiology
Representative Publications
J.W. Cain and D.G. Schaeffer, Two-term asymptotic approximation of a cardiac restitution curve
(Submitted, 2005)
J. Cain, Issues in the one-dimensional dynamics of a paced cardiac fiber,
Ph.D. Dissertation, Duke University
(2005)
D.G. Schaeffer, J.W. Cain, D.J. Gauthier, S.S. Kalb, W. Krassowska, R.A. Oliver, E.G. Tolkacheva and W. Ying, An ionically based mapping model with memory for cardiac restitution
(February 21, 2005) (Gordon Research Conference on Cardiac
Arrhythmia Mechanisms, Buellton, CA.)
J.W. Cain, E.G. Tolkacheva, D.G. Schaeffer, and D.J. Gauthier, Rate-dependent propagation of cardiac action potentials in a one-dimensional fiber,
Phys. Rev. E., vol. 70 no. 6
(2004),
pp. 061906 (Selected to appear in the Virtual Journal of
Biological Physics Research, Volume 8, Issue
12, December 15, 2004..)
D.G. Schaeffer, J.W. Cain, D.J. Gauthier, S.S. Kalb, W. Krassowska, R.A. Oliver, and E.G. Tolkacheva, An ionically based mapping model with memory for cardiac restitution,
Bull. Math. Bio.
(Submitted, submitted 2004)
J.W. Cain, E.G. Tolkacheva, D.G. Schaeffer, and D.J. Gauthier, Rate-dependent waveback velocity of cardiac action potentials in a one-dimensional cable,
International Conference for Mathematics in Biology and Medicine: Annual Meeting for the Society for Mathematical Biology
(July, 2004)
J.W. Cain, Simulating discordant alternans with a two-current model,
International School on Biomathematics, Bioengineering and Clinical Aspects of Blood Flow, MSRI
(August, 2002)