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GUI for
CARDIOWAVE
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For
macroscopic models of the heart to have greater predictive
ability they must be able to incorporate the effects of diseased-induced
tissue structure inhomogeneities on conduction and potential
timecourses. The objectives of this research are to develop
improved discretization schemes for robustly modeling conduction
in regions with spatially varying material and membrane properties.
These objectives are being accomplished by creating the simulation
system, CARDIOWAVE, which uses a module-based paradigm to
produce a problem-specific code. This approach allows any
advances made in any one component to lead directly to an
advancement of the whole program. CARDIOWAVE is being used
to evaluate the use of structured and unstructured finite
volume methods, that involve quadrilateral and triangular
grids, to discretize the computational domains of interest.
The speed, accuracy and stability of both types of methods
are being examined using explicit and implicit time stepping
algorithms. To ensure that the spatial discretization methods
are able to accommodate any advances in the dynamical models
of the ion fluxes across the membrane, state-of-the-art
kinetic models are being evaluated over a range of physiological
conditions. Finally, strategies for using spatially adaptive
gridding in regions with abrupt changes in tissue properties,
such as those expected in diseased myocardium, are being developed.
This proposal represents a research and educational collaboration
between Biomedical Engineering
and Computer Science at
Duke University and is providing
a set of tools and methods that is expected also to benefit
mathematicians and physicists interested in studying the dynamics
of general excitable media. David Harrild, John Pormann,
Kevin Sampson, Joe Tranquillo, Chris Penland
Funding
for this work comes in part from the National
Science Foundation
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