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Mathematical Biology seminar
Boyce Griffith
Courant Institute
"Computational methods for modeling cardiac physiology: A
parallel and adaptive version of the immersed boundary method, and
bidomain simulations of electrical conduction in murine ventricular tissue"
February 11, 2005
3:05pm in LCB 121
During the first portion of this talk, I will discuss a new parallel
and
adaptive version of the immersed boundary (IB) method. The IB method
is
both a mathematical formulation and a numerical scheme for problems
involving the interaction of a viscous incompressible fluid and a
(visco-)elastic structure. The need for parallelism and adaptivity
will
be motivated by examining the convergence of the IB method for a
prototypical fluid-structure interaction problem, namely the
interaction
of a viscous incompressible fluid and a viscoelastic shell of finite
thickness, a case where we observe actual second order convergence
rates.
To study the role of reduced gap junctional coupling in promoting and
maintaining fatal arrhythmias, an experimental murine model has been
developed at the NYU School of Medicine with a cardiac-restricted
conditional inactivation of the major ventricular gap junction protein
(connexin43). In the final portion of my talk, I will briefly present
some recent simulations that begin to explore the effect on
propagation
of reduced intracellular conductivities in two- and three-dimensional
bidomain models of mouse ventricular tissue.
For more information contact J. Keener, 1-6089
E-mail:
keener@math.utah.edu
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