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Taking math to heart: Mathematical challenges in cardiac electrophysiology


Mathematical biophysics applied to cardiology offers has many problems that are ripe for unified attack by mathematicians, clinicians, engineers and physicists. Mathematician John Cain recently surveyed six ongoing challenge problems in mathematical cardiac electrophysiology. Hodgkin and Huxley's Nobel Prize winning work led to mathematical models of the cardiac action potential by viewing the cardiac cell membrane as an electrical circuit. The resulting system of nonlinear partial differential equations can only be solved approximately, and the physical domain (the heart) has complex geometry and anisotropic physics properties. more

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