Models of Cancer Growth Revisited

作     者：Jens Christian Larsen 

作者机构：Vanlø se Alle 50 2. mf. tv 2720 Vanlø se Copenhagen Denmark 

出 版 物：《Applied Mathematics》 (应用数学（英文）)

年 卷 期：2018年第9卷第4期

页      面：418-447页

学科分类：1002[医学-临床医学] 100214[医学-肿瘤学] 10[医学] 

主　　题：Cancer Mass Action Kinetic System Immunity 

摘      要：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.