Chemotaxis models, which study the directed movement of cells in response to chemical gradients, have evolved into a rich field of interdisciplinary research. Among these, the Keller–Segel model ...
Proceedings of the American Mathematical Society, Vol. 146, No. 6 (June 2018), pp. 2529-2540 (12 pages) This paper deals with the fully parabolic 1d chemotaxis system with diffusion 1/(1 + 𝑢). We ...
Chemotactic migration and invasion play an essential role in many normal and pathological processes including immune response, cell differentiation, and tumor metastasis. Methods to study factors that ...