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DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION. | LitMetric

DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION.

SIAM J Appl Math

Departments of Mathematics and Biomedical Engineering, University of Utah, Salt Lake City, UT (http://www.math.utah.edu/~keener).

Published: January 2022

AI Article Synopsis

Article Abstract

In [Fogelson and Keener, , 81 (2010), 051922], we introduced a kinetic model of fibrin polymerization during blood clotting that captured salient experimental observations about how the gel branching structure depends on the conditions under which the polymerization occurs. Our analysis there used a moment-based approach that is valid only before the finite time blow-up that indicates formation of a gel. Here, we extend our analyses of the model to include both pre-gel and post-gel dynamics using the PDE-based framework we introduced in [Fogelson and Keener, ., 75 (2015), pp. 1346-1368]. We also extend the model to include spatial heterogeneity and spatial transport processes. Studies of the behavior of the model reveal different spatial-temporal dynamics as the time scales of the key processes of branch formation, monomer introduction, and diffusion are varied.

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Source
http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9455619PMC
http://dx.doi.org/10.1137/21m1401024DOI Listing

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