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Welcome to the newBiomath website
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Blood Clot Project.
The blood clot project was originally based on 2D Cellular-Potts coupled to an Incompressible
Navier-Stokes flow solver. This development led to the
Simulation Toolkit for Clot Formation, and
a major publication.
Current developments are aimed at extending the model to 3D and addressing the lack
of cell structure inherent in the Cellular-Potts model.
More recent methods being developed for 3D simulations are Sub-Cellular
Elements (SCE) where individual cells are modeled by a network of particles, propagated using
Newtonian Mechanics. An example of two cells colliding, constructed of SCE, is shown below.
More information can be found on the
SCEL paper supplementary information page and the SCE information page.
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Fibrin networks.
Our collaboration with Dr. Alisa Wolberg and Dr. Danny Chen has allowed us to
take images of real fibrin networks and produce network representations.
These networks can then be analysed to estimate their mechanical properties.
We have also produced software to render the resulting images and simulations.
This has been further extended by the utilization of 3D hardware, details of
which can be found on the 3D equipment page on this site.
A visual representation of a network can be seen here (click for movie):
More information, and Collaborative movies, can be found at the Fibrin Network information page.
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The University of Notre Dame's Interdisciplinary Center for Study of Biocomplexity
"Understanding Randomness in Biology" web tutorial site can now be found
here, on the Biomath website.
It encourages people to explore the underpinnings of modern mathematical biology and discover one of
the many directions life science is traveling.
The primary audiences of these tutorials are high school students and undergraduates.
However, teachers, researchers in related fields, and non-specialists are invited to
work through some of the tutorials as well; because you never know what you're going to
uncover that may be new and inspiring.
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Links:
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| Copyright © University of Notre Dame
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