Open AccessOn some models for cancer cell migration through tissue networks
Author(s) -
Jan Kelkel,
Christina Surulescu
Publication year - 2011
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2011.8.575
Subject(s) - uniqueness , cell migration , population , cell , biological system , cancer , mesoscopic physics , ligand (biochemistry) , computer science , biology , mathematics , physics , receptor , genetics , sociology , mathematical analysis , demography , quantum mechanics
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.