Math @ Duke
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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:
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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, 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)
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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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