title: Adaptation and optimization of biological transport networks.
abstract: 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.
authors.affiliation: Department of Mathematics, Institute of Natural Sciences, and MOE-LSC, Shanghai Jiao Tong University, Shanghai 200240, China.
authors.forename: Dan
authors.initials: D
authors.lastname: Hu
authors.forename: David
authors.initials: D
authors.lastname: Cai
mesh_terms: D000222:Adaptation, Physiological; D001692:Biological Transport; D001808:Blood Vessels / Q000378:metabolism*; D003198:Computer Simulation; D004734:Energy Metabolism; D008954:Models, Biological; D008955:Models, Cardiovascular; D009010:Monte Carlo Method; D016839:Physarum polycephalum / Q000378:metabolism*; D012641:Selection, Genetic