Current reinforcement model reproduces center ‐in‐center vein trajectory of Physarum polycephalum
In this report, we confirm that the mathematical model reproduces the center‐in‐center trajectory of veins around corners observed in the maze‐solving experiment.
The thick veins tend to trace the shortest possible route by turning at the corners of corridors following a center‐in‐center trajectory. This process of vein morphogenesis is based on the phenomenological rule of current reinforcement: a vein becomes thicker as protoplasmic streaming is stronger, and dies out otherwise. By means of this mathematical modeling, we confirmed the center‐in‐center trajectory of vein developed when turning at a corner as actually observed in the maze‐solving experiment.
Source: Development, Growth and Differentiation - Category: Research Authors: Dai Akita, Daniel Schenz, Shigeru Kuroda, Katsuhiko Sato, Kei ‐ichi Ueda, Toshiyuki Nakagaki Tags: Original Article Source Type: research
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