This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied ...
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This monograph considers the mathematical modeling of cellular adhesion, a key interaction force in cell biology. While deeply grounded in the biological application of cell adhesion and tissue formation, this monograph focuses on the mathematical analysis of non-local adhesion models. The novel aspect is the non-local term (an integral operator), which accounts for forces generated by long ranged cell interactions. The analysis of non-local models has started only recently, and it has become a vibrant area of applied mathematics. This monograph contributes a systematic analysis of steady states and their bifurcation structure, combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the symmetries of the non-local term. These methods allow readers to analyze and understand cell adhesion on a deep level.
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New. Print on demand Contains: Illustrations, black & white, Illustrations, color. CMS/CAIMS Books in Mathematics . VIII, 152 p. 35 illus., 15 illus. in color. Intended for professional and scholarly audience.
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New. 152 p. CMS/CAIMS Books in Mathematics , 1. 15 Illustrations, color; 20 Illustrations, black and white; VIII, 152 p. 35 illus., 15 illus. in color. Intended for professional and scholarly audience.
Add this copy of Non-Local Cell Adhesion Models to cart. $102.32, new condition, Sold by Paperbackshop rated 4.0 out of 5 stars, ships from Bensenville, IL, UNITED STATES, published 2022 by Springer Nature Switzerland AG.
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