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Models of Cancer Growth Revisited

Models of Cancer Growth Revisited
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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. 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.
机构地区 Vanl&oslash se Alle se
出处 《Applied Mathematics》 2018年第4期418-447,共30页 应用数学(英文)
关键词 CANCER MASS Action KINETIC System IMMUNITY Cancer Mass Action Kinetic System Immunity
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