TITLE:
Models of Cancer Growth Revisited
AUTHORS:
Jens Christian Larsen
KEYWORDS:
Cancer, Mass Action Kinetic System, Immunity
JOURNAL NAME:
Applied Mathematics,
Vol.9 No.4,
April
30,
2018
ABSTRACT:
In the present paper we study models of cancer growth, initiated in Jens Chr.
Larsen: Models of cancer growth [1]. We consider a cancer model in variables
C cancer cells, growth factors GFi,i= 1,,p, (oncogene, tumor suppressor
gene or carcinogen) and growth inhibitor GFi,i= 1,,p, (cells of the immune
system or chemo or immune therapy). For q =1 this says, that cancer
grows if (1) below holds and is eliminated if the reverse inequality holds. We
shall prove formulas analogous to (1) below for arbitrary p, q∈N, p ≥ q . In
the present paper, we propose to apply personalized treatment using the simple
model presented in the introduction.