Adaptation and Optimization of Biological Transport Networks
Adaptation and Optimization of Biological Transport Networks
复制标题
生物运输网络的适应和优化
DOI：
10.1103/physrevlett.111.138701
复制
发表时间：
2013-09-25
影响因子：
8.6
通讯作者：
Cai, David
中科院分区：
文献类型：
--
作者：
Hu, Dan;Cai, David
生物传输网络的拓扑结构被假设为能量优化的结果。在实验观察的激励下，我们提出适应动力学可能是这种优化的基础。与优化的全局特性相反，我们的适应动态只响应局部信息，并且可以自然地包含流量分布的波动。自适应动态使全局能量消耗最小化以产生最优网络，该网络在流量分布存在强烈波动时可能具有分层环路结构。我们进一步表明，可能存在一个新的相变，因为存在一个临界的sink开放概率，在此之上只有网络结构的树，而在此之下循环开始出现。
It has been hypothesized that topological structures of biological transport networks are consequences of energy optimization. Motivated by experimental observation, we propose that adaptation dynamics may underlie this optimization. In contrast to the global nature of optimization, our adaptation dynamics responds only to local information and can naturally incorporate fluctuations in flow distributions. The adaptation dynamics minimizes the global energy consumption to produce optimal networks, which may possess hierarchical loop structures in the presence of strong fluctuations in flow distribution. We further show that there may exist a new phase transition as there is a critical open probability of sinks, above which there are only trees for network structures whereas below which loops begin to emerge.