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Existence of global solutions to a model of chondrogenesis
Author(s) -
Kazmierczak B.
Publication year - 2009
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1034
Subject(s) - fibronectin , mathematics , chondrogenesis , function (biology) , diffusion , mathematical economics , pure mathematics , mathematical analysis , chemistry , microbiology and biotechnology , biology , physics , thermodynamics , cell , biochemistry
Abstract The paper considers conditions sufficient for the existence of classical C 2+β,1+β/2 x,tsolutions to a new model of chondrogenesis during the vertebrate limb formation. We assume that the diffusion coefficient of the fibronectin is positive and that the function describing the interaction between the fibronectin and cells satisfies some additional properties. Copyright © 2008 John Wiley & Sons, Ltd.