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.
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.
Syntactic dependencies are often non-local: They can involve two positions in a syntactic structure whose correspondence cannot be captured by invoking concepts like minimal clause or...
Cell Adhesion Molecules: Implications in Neurological Diseases contains review articles on recent developments in the field of neural cell adhesion molecules (CAMs). The main focus is on the...
"Adhesion of Cells, Viruses and Nanoparticles" describes the adhesion of cells, viruses and nanoparticles starting from the basic principles of adhesion science, familiar to postgraduates, and...
Attachment to host cells or tissues is often the first step in the establishment of bacterial infections. A complex array of recognition, attachment, and virulence factors is involved in this ...
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