Energy-saving with low dimensional network in Physarum plasmodium

An adaptation process in the transportation network of Physarum plasmodium was investigated by measuring oxygen consumption during network formation. Simultaneously, the fractal dimension as a measure of network structure was estimated. Oxygen consumption decreased during the development of the network, whereas the network structure changed from a thin mesh-type to a thick dendritic type. Our data suggested that the morphology of the plasmodial network governed energy consumption; a low dimensional network in the sense of the fractal dimension reduced energy consumption. These data were supported by experimental results excluding biological reasons, such as differences in starvation/nutrientfullness states, and aspects of mitochondrial distribution. Model analysis using the Physarum algorithm with volume conservation constraints confirmed the above findings.