NCKU Math Colloquium



SPEAKERProf. John Wesley Cain]Harvard University Department of Mathematics^

TITLEKinematic Models of Wave Propagation in Excitable Media

ABSTRACT Mathematical models for wave propagation in excitable media (such as cardiac tissue) are usually presented as reaction-diffusion PDEs. However, using asymptotic methods, it is possible to derive simpler equations which describe the progress of wave fronts and wave backs. The simpler equations form a purely kinematic model that can be very useful in understanding the onset of certain cardiac arrhythmias without the need for computationally expensive simulations. Moreover, the kinematic model equations are much easier to study analytically than the PDE model equations, which allows analytical prediction of bifurcation phenomena that may lead to wave break.