Open AccessThe steady state of a maturity structured tumor cord cell population
Author(s) -
Janet Dyson,
Rosanna Villella-Bressan,
Glenn Webb
Publication year - 2003
Publication title -
discrete and continuous dynamical systems. series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.864
H-Index - 53
eISSN - 1553-524X
pISSN - 1531-3492
DOI - 10.3934/dcdsb.2004.4.115
Subject(s) - steady state (chemistry) , maturity (psychological) , population , state (computer science) , mechanics , mathematics , chemistry , physics , demography , psychology , sociology , algorithm , developmental psychology
We consider a mathematical model of a proliferating tumor cell population forming a cylindrical structure around an interior blood vessel. We analyse the equilibrium problem when cells are distinguished by maturity, radial distance from the interior vessel, and proliferative or quiescent state. We give sufficient conditions to assure the existence of a unique steady state