Tannenbaum Emmanuel
Ben-Gurion University of the Negev, Be'er-Sheva 84105, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2006 Jan;73(1 Pt 1):010904. doi: 10.1103/PhysRevE.73.010904. Epub 2006 Jan 31.
This paper develops a quasispecies model where cells can adopt a two-cell survival strategy. Within this strategy, pairs of cells join together, at which point one of the cells sacrifices its own replicative ability for the sake of the other cell. We develop a simplified model for the evolutionary dynamics of this process, allowing us to solve for the steady state using standard approaches from quasispecies theory. We find that our model exhibits two distinct regimes of behavior: At low concentrations of limiting resource, the two-cell strategy outcompetes the single-cell survival strategy, while at high concentrations of limiting resource, the single-cell survival strategy dominates. The single-cell survival strategy becomes disadvantageous at low concentrations of limiting resource because the energetic costs of maintaining reproductive and metabolic pathways approach, and may even exceed, the rate of energy production, leaving little excess energy for the purposes of replicating a new cell. However, if the rate of energy production exceeds the energetic costs of maintaining metabolic pathways, then the excess energy, if shared among several cells, can pay for the reproductive costs of a single cell, leaving energy to replicate a new cell. Associated with the two solution regimes of our model is a localization to delocalization transition over the portion of the genome coding for the multicell strategy, analogous to the error catastrophe in standard quasispecies models. The existence of such a transition indicates that multicellularity can emerge because natural selection does not act on specific cells, but rather on replicative strategies. Within this framework, individual cells become the means by which replicative strategies are propagated. Such a framework is therefore consistent with the concept that natural selection does not act on individuals, but rather on populations.
本文建立了一个准物种模型,其中细胞可以采用双细胞生存策略。在这种策略中,细胞对结合在一起,此时其中一个细胞为了另一个细胞而牺牲自身的复制能力。我们为这个过程的进化动力学开发了一个简化模型,使我们能够使用准物种理论的标准方法求解稳态。我们发现我们的模型表现出两种不同的行为模式:在有限资源浓度较低时,双细胞策略比单细胞生存策略更具竞争力,而在有限资源浓度较高时,单细胞生存策略占主导地位。在有限资源浓度较低时,单细胞生存策略变得不利,因为维持生殖和代谢途径的能量成本接近甚至可能超过能量产生速率,几乎没有多余的能量用于复制新细胞。然而,如果能量产生速率超过维持代谢途径的能量成本,那么多余的能量如果在几个细胞之间共享,就可以支付单个细胞的生殖成本,还能留下能量来复制新细胞。与我们模型的两种解模式相关的是,在编码多细胞策略的基因组部分上存在从局部化到非局部化的转变,这类似于标准准物种模型中的错误灾难。这种转变的存在表明多细胞性可以出现,因为自然选择不是作用于特定细胞,而是作用于复制策略。在这个框架内,单个细胞成为复制策略传播的手段。因此,这样一个框架与自然选择不是作用于个体而是作用于种群的概念是一致的。