Phenotype divergence and cooperation in isogenic multicellularity and in cancer.

Frank Ernesto Alvarez, Jean Clairambault
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Abstract

We discuss the mathematical modelling of two of the main mechanisms that pushed forward the emergence of multicellularity: phenotype divergence in cell differentiation and between-cell cooperation. In line with the atavistic theory of cancer, this disease being specific of multicellular animals, we set special emphasis on how both mechanisms appear to be reversed, however not totally impaired, rather hijacked, in tumour cell populations. Two settings are considered: the completely innovating, tinkering, situation of the emergence of multicellularity in the evolution of species, which we assume to be constrained by external pressure on the cell populations, and the completely planned-in the body plan-situation of the physiological construction of a developing multicellular animal from the zygote, or of bet hedging in tumours, assumed to be of clonal formation, although the body plan is largely-but not completely-lost in its constituting cells. We show how cancer impacts these two settings and we sketch mathematical models for them. We present here our contribution to the question at stake with a background from biology, from mathematics and from philosophy of science.

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同源多细胞和癌症中的表型分化与合作
我们讨论了推动多细胞出现的两个主要机制的数学模型:细胞分化中的表型分化和细胞间的合作。癌症是多细胞动物特有的疾病,根据癌症的遗传学理论,我们特别强调了这两种机制是如何在肿瘤细胞群中发生逆转,但并非完全受损,而是被劫持的。我们考虑了两种情况:一种是物种进化过程中出现多细胞性的完全创新、修补情况,我们假定这种情况受到细胞群外部压力的制约;另一种是完全计划好的身体计划情况,即从胚胎开始发育的多细胞动物的生理构造,或肿瘤中的赌注对冲,我们假定这种情况是克隆形成的,尽管身体计划在其组成细胞中基本丢失,但并非完全丢失。我们展示了癌症对这两种情况的影响,并为它们勾画了数学模型。在此,我们以生物学、数学和科学哲学为背景,介绍我们对这一问题的贡献。
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