Non-Local Cell Adhesion Models

<p>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.<br></p><p></p>