Math @ Duke

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 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)
 J.W. Cain and D.G. Schaeffer, Twoterm asymptotic approximation of a cardiac restitution curve
(Submitted, 2005)
 J. Cain, Issues in the onedimensional 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, Ratedependent propagation of cardiac action potentials in a onedimensional 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, Ratedependent waveback velocity of cardiac action potentials in a onedimensional 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 twocurrent model,
International School on Biomathematics, Bioengineering and Clinical Aspects of Blood Flow, MSRI
(August, 2002)


dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
 
Mathematics Department
Duke University, Box 90320
Durham, NC 277080320

