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**- 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)

- J.W. Cain and D.G. Schaeffer,