论文标题
细胞进化的分叉
Bifurcation in cellular evolution
论文作者
论文摘要
细胞代谢的各个方面是通过描述细胞内化学浓度变化的普通微分方程来建模的。这个动力学系统与复杂的网络之间存在对应关系。与经典的Erdős-rényi模型一样，反应网络可以通过在基础图中迭代添加边缘来发展。在生化环境中，每个添加的反应都意味着代谢突变。在这项工作中，这表明对图形拓扑的修改也通过逐渐添加突变也导致了巨大的连接组件的形成，即渗透 - 样相变。它触发相应网络功能的突然变化。这种渗透被映射到细胞内动力学中的分叉中。它是生物进化中的快捷方式，因此细胞最可能的代谢状态突然从细胞停滞转变为指数生长。
Aspects of cell metabolism are modeled by ordinary differential equations describing the change of intracellular chemical concentrations. There is a correspondence between this dynamical system and a complex network. As in the classic Erdős--Rényi model, the reaction network can evolve by the iterative addition of edges to the underlying graph. In the biochemical context, each added reaction implies a metabolic mutation. In this work it is shown that modifications to the graph topology by gradually adding mutations lead here too to the formation of a giant connected component, i.e., to a percolation--like phase transition. It triggers an abrupt change in the functionality of the corresponding network. This percolation is mapped into a bifurcation in the intracellular dynamics. It acts as a shortcut in biological evolution, so that the most probable metabolic state for the cell is suddenly switched from cellular stagnation to exponential growth.
