一种新型癌细胞的简单数学模型

E. Ahmed
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摘要

近年来[1,2,3,4]发现了杂交肿瘤细胞。它们具有以下特性:a)它们比普通肿瘤细胞循环更多。b)它们具有更强的迁移和侵袭其他肿瘤的能力。c)它们形成转移瘤的能力更强。基于此,我们提出如下简单模型:设N1为普通肿瘤细胞,N2为杂交肿瘤细胞。令N=N1+N2,则肿瘤生长可表示为
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A Simple Mathematical Model for a New Type of Cancer Cells
Introduction Hybrid tumor Cells Recently [1,2,3,4] hybrid tumor cells have been discovered. They have the following properties: a) They circulate more than ordinary tumor cells. b) They have greater ability to migrate and invade other tumors. c) They have greater ability to form metastases. Motivated by this the following simple model is presented: Let N1, N2 be the ordinary and hybrid tumor cells respectively. Let N=N1+N2 hence the tumor growth can be represented by
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