On a PDE-ODE-PDE model for two interacting cell populations under the influence of an acidic environment and with nonlocal intra- and interspecific growth limitation

Autor:	Eckardt, Maria, Surulescu, Christina
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35K20 35K57 35Q92 92C17
Druh dokumentu:	Working Paper
Popis:	We consider a model for the dynamics of active cells interacting with their quiescent counterparts under the influence of acidity characterized by proton concentration. The active cells perform nonlinear diffusion and infer proliferation or decay, according to the strength of spatially nonlocal intra- and interspecific interactions. The two cell phenotypes are interchangeable, the transitions depending on the environmental acidity. We prove global existence of a weak solution to the considered PDE-ODE-PDE system and perform numerical simulations in 1D to informally investigate boundedness and patterning behavior in dependence of the system's parameters and kernels involved in the nonlocal terms.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2409.12657 Zobrazit plný text záznamu View this record from Arxiv