To what extent does the consideration of positive total flux influence the dynamics of Keller–Segel-type models?
Year: 2025
Type: article
Abstract: Since the introduction of the Keller-Segel model in 1970 to describe chemotaxis (the interactions between cell distributions u and chemical distributions v), there has been a significant proliferation of research articles exploring various extensions and modifications of this model within the scientific community. From a technical standpoint, the totality of results concerning these variants are characterized by the assumption that the total flux, involving both distributions, of the model under consideration is zero. This research aims to present a novel perspective by focusing on models with a positive total flux. Specifically, by employing Robin-type boundary conditions for u and v, we seek to gain insights into the interactions between cells and their environment, uncovering important dynamics such as how variations in boundary conditions influence chemotactic behavior. In particular, the choice of the boundary conditions is motivated by real-world phenomena and by the fact that the related analysis reveals some interesting properties of the system.
Authors: Khadijeh Baghaei, Silvia Frassu, Yuya Tanaka, Giuseppe Viglialoro
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,550
Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Kwansei Gakuin University, Università degli Studi di Cagliari, Fondazione di Sardegna, European Commission, Ministero dell’Istruzione, dell’Università e della Ricerca, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Japan Society for the Promotion of Science
OpenAlex ID: W4414997773