Stable heterogeneity for the production of diffusible factors in cell populations.
Stable heterogeneity for the production of diffusible factors in cell populations.
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DOI：
10.1371/journal.pone.0108526
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发表时间：
2014
期刊：
影响因子：
3.7
通讯作者：
Archetti M
中科院分区：
文献类型：
--
作者：
Archetti M
促进存活和生长的可扩散分子的产生在细菌和真核细胞群体中是常见的，并且可以被认为是细胞之间合作的一种形式。虽然进化博弈论表明，生产者和非生产者可以共存于混合良好的人口，有没有一个稳定的多态性在空间结构的人口的扩散分子的影响超出一步邻居的可能性达成共识。我研究动态的生物公共产品使用进化博弈的格子，考虑到两个假设，没有被认为是同时在现有的模型：扩散分子的好处是其浓度的非线性函数，和分子扩散根据一个递减的梯度。当分子的利益是其浓度的S形函数时，观察到生产者和非生产者的稳定共存，而严格的收益递减仅在非常特定的参数下导致共存，线性利益永远不会导致共存。扩散梯度的形状在很大程度上是不相关的，并且可以通过阶跃函数来近似。由于生物分子的效应通常是其浓度的S形函数（如希尔方程所描述的），线性效益或严格递减的回报不是生物公共产品研究的适当近似。生产者和非生产者的稳定多态性符合进化博弈论的预测，并且可能在细胞群体中很常见。
The production of diffusible molecules that promote survival and growth is common in bacterial and eukaryotic cell populations, and can be considered a form of cooperation between cells. While evolutionary game theory shows that producers and non-producers can coexist in well-mixed populations, there is no consensus on the possibility of a stable polymorphism in spatially structured populations where the effect of the diffusible molecule extends beyond one-step neighbours. I study the dynamics of biological public goods using an evolutionary game on a lattice, taking into account two assumptions that have not been considered simultaneously in existing models: that the benefit of the diffusible molecule is a non-linear function of its concentration, and that the molecule diffuses according to a decreasing gradient. Stable coexistence of producers and non-producers is observed when the benefit of the molecule is a sigmoid function of its concentration, while strictly diminishing returns lead to coexistence only for very specific parameters and linear benefits never lead to coexistence. The shape of the diffusion gradient is largely irrelevant and can be approximated by a step function. Since the effect of a biological molecule is generally a sigmoid function of its concentration (as described by the Hill equation), linear benefits or strictly diminishing returns are not an appropriate approximations for the study of biological public goods. A stable polymorphism of producers and non-producers is in line with the predictions of evolutionary game theory and likely to be common in cell populations.
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影响因子：
4.1
作者：
Archetti M
通讯作者：
Archetti M
影响因子：
2
作者：
Ifti, M;Killingback, T;Doebeli, M
通讯作者：
Doebeli, M
DOI：
10.1098/rsbl.2003.0083
发表时间：
2004-02-07
影响因子：
4.7
作者：
Greig, D;Travisano, M
通讯作者：
Travisano, M
DOI：
10.1073/pnas.0606053103
发表时间：
2006-09-05
影响因子：
11.1
作者：
Axelrod, Robert;Axelrod, David E.;Pienta, Kenneth J.
通讯作者：
Pienta, Kenneth J.
影响因子：
5.5
作者：
Frank SA
通讯作者：
Frank SA