Existence of solutions for coupled hybrid systems of differential equations for microscopic dynamics and local concentrations
M Menci, M Papi, F Smarrazzo - Communications on Pure and …, 2023 - aimsciences.org
Coupled hybrid models, gathering the advantages of multiscale approaches, are nowadays
spreading in the field of mathematical models for biological phenomena. The structure of the
investigated system arises in modelling collective cell migrations and growth, and
particularly fits to those scenarios in which the dynamics of discrete particles is influenced by
a continuum chemical concentration. In this paper we focus on existence of solutions in the
case of a local concentration. Our construction will rely on approximation techniques …
spreading in the field of mathematical models for biological phenomena. The structure of the
investigated system arises in modelling collective cell migrations and growth, and
particularly fits to those scenarios in which the dynamics of discrete particles is influenced by
a continuum chemical concentration. In this paper we focus on existence of solutions in the
case of a local concentration. Our construction will rely on approximation techniques …