title: On some models for cancer cell migration through tissue networks.
abstract: We propose some models allowing to account for relevant processes at the various scales of cancer cell migration through tissue, ranging from the receptor dynamics on the cell surface over degradation of tissue fibers by protease and soluble ligand production towards the behavior of the entire cell population. For a genuinely mesoscopic version of these models we also provide a result on the local existence and uniqueness of a solution for all biologically relevant space dimensions.
authors.affiliation: IANS, University of Stuttgart, Stuttgart, Germany. Jan.Kelkel@mathematik.uni-stuttgart.de
authors.forename: Jan
authors.initials: J
authors.lastname: Kelkel
authors.forename: Christina
authors.initials: C
authors.lastname: Surulescu
mesh_terms: D000818:Animals; D002465:Cell Movement; D003198:Computer Simulation; D005109:Extracellular Matrix; D006801:Humans; D008954:Models, Biological; D009369:Neoplasms / Q000503:physiopathology*