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DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION.

Publication ,  Journal Article
Fogelson, AL; Nelson, AC; Zapata-Allegro, C; Keener, JP
Published in: SIAM journal on applied mathematics
January 2022

In [Fogelson and Keener, Phys. Rev. E, 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, SIAM J. Appl. Math., 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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Published In

SIAM journal on applied mathematics

DOI

ISSN

0036-1399

Publication Date

January 2022

Volume

82

Issue

1

Start / End Page

267 / 293

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics
 

Citation

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Fogelson, A. L., Nelson, A. C., Zapata-Allegro, C., & Keener, J. P. (2022). DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION. SIAM Journal on Applied Mathematics, 82(1), 267–293. https://doi.org/10.1137/21m1401024
Fogelson, Aaron L., Anna C. Nelson, Cheryl Zapata-Allegro, and James P. Keener. “DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION.SIAM Journal on Applied Mathematics 82, no. 1 (January 2022): 267–93. https://doi.org/10.1137/21m1401024.
Fogelson AL, Nelson AC, Zapata-Allegro C, Keener JP. DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION. SIAM journal on applied mathematics. 2022 Jan;82(1):267–93.
Fogelson, Aaron L., et al. “DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION.SIAM Journal on Applied Mathematics, vol. 82, no. 1, Jan. 2022, pp. 267–93. Epmc, doi:10.1137/21m1401024.
Fogelson AL, Nelson AC, Zapata-Allegro C, Keener JP. DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION. SIAM journal on applied mathematics. 2022 Jan;82(1):267–293.

Published In

SIAM journal on applied mathematics

DOI

ISSN

0036-1399

Publication Date

January 2022

Volume

82

Issue

1

Start / End Page

267 / 293

Related Subject Headings

  • Applied Mathematics
  • 4901 Applied mathematics
  • 0102 Applied Mathematics