Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits.

Evolution of a structured cell population endowed with plasticity of traits under constraints on and between the traits.
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DOI:
10.1007/s00285-022-01820-5
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发表时间:
2022-11-04
影响因子:
1.9
通讯作者:
--
中科院分区:
数学4区
文献类型:
--
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面对管理细胞群体可塑性的生物学问题,尤其是癌症中短暂和可逆的耐药性,我们提出了一个由积分微分方程和反应平流扩散方程组成的基本原理,并从理论上和数值上研究了其性质。通过使用构造性有限体积方法,我们展示了弱解的存在性和唯一性,并通过数值近似及其模拟说明了模型表现出特征发散的能力。从理论上讲,这一特征可以解释为描述动物进化中迈向多细胞性的生理步骤,并且更接近当今肿瘤学的临床挑战,作为癌细胞群体中赌注对冲的可能代表。
Confronted with the biological problem of managing plasticity in cell populations, which is in particular responsible for transient and reversible drug resistance in cancer, we propose a rationale consisting of an integro-differential and a reaction-advection-diffusion equation, the properties of which are studied theoretically and numerically. By using a constructive finite volume method, we show the existence and uniqueness of a weak solution and illustrate by numerical approximations and their simulations the capacity of the model to exhibit divergence of traits. This feature may be theoretically interpreted as describing a physiological step towards multicellularity in animal evolution and, closer to present-day clinical challenges in oncology, as a possible representation of bet hedging in cancer cell populations.
从建模癌症的可塑性到癌症的哲学。
DOI: 10.3389/fgene.2020.579738
发表时间: 2020
影响因子: 3.7
作者:
Clairambault J
通讯作者: Clairambault J