Joint IAM SEMINAR SERIES/COLLOQUIUM
3:00 p.m., Monday (January 7, 2008)
Mathematics & PIMS, UBC
Three-Dimensional Model of Cellular Electrical Activity
Abstract: We present a three-dimensional model of cellular electrical activity.
This model takes into account the three-dimensional geometry of biological tissue
as well as ionic concentration dynamics, both of which are neglected in conventional
models of electrophysiology. The model consists mathematically of a system of
partial differential equations with nonlinear evolutionary boundary conditions on
membrane boundaries. We use asymptotic and mathematical analysis to study the
properties of this model. In particular, this analysis reveals the presence of
multiple spatio-temporal scales in the model. A time-implicit numerical method is
developed to tackle this difficulty. This modeling methodology is applied to
cardiac physiology. Numerical simulations with this model are used to explore
the characteristics of a recently observed anomalous mode of cardiac action
potential propagation: cardiac propagation without gap junctions.
Refreshments will be served before the seminar in the IAM Lounge, Room 306,
please bring your own mug.