Ebook: Non-Local Cell Adhesion Models: Steady States and Bifurcations

This monograph considers modeling applications for cellular adhesion, illustrating a key interaction in cell biology. Despite active research and mathematical analysis of non-local models, there is a current lack of scholarship pertaining to the theory of steady states and pattern formation. This book therefore aims to contribute to the analysis of steady states and their bifurcation structure, which reflects the patterns observed in nature and in biological tissues. Combining global bifurcation results pioneered by Rabinowitz, equivariant bifurcation theory, and the mathematical properties of the non-local term, this book ultimately presents a detailed and novel analysis of non-local adhesion and boundary conditions.