Publications [#361871] of Anna C Nelson

Papers Published

1. Fogelson, AL; Nelson, AC; Zapata-Allegro, C; Keener, JP, DEVELOPMENT OF FIBRIN BRANCH STRUCTURE BEFORE AND AFTER GELATION., SIAM journal on applied mathematics, vol. 82 no. 1 (January, 2022), pp. 267-293, Society for Industrial & Applied Mathematics (SIAM) [doi]
   (last updated on 2024/04/16)

   Abstract:
   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.