John Cain, Graduate Student

Please note: John has left the Mathematics department at Duke University; some info here might not be up to date.

Contact Info:

Office Location:	250C Physics Bldg
Office Phone:	660-2853
Email Address:
Web Page:	http://www.math.duke.edu/~jcain

Office Hours:

By appointment

Specialties:

Applied Math

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   (More Publications)

1. J.W. Cain and D.G. Schaeffer, Two-term asymptotic approximation of a cardiac restitution curve (Submitted, 2005)
2. J. Cain, Issues in the one-dimensional dynamics of a paced cardiac fiber, Ph.D. Dissertation, Duke University (2005)
3. 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.)
4. 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..)
5. 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)
6. 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)
7. 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)