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Updated: Jun 5, 2026

A Method for Growing Bio-memristors from Slime Mold
Published on: November 2, 2017
Plasmodial vein networks of the slime mold Physarum polycephalum form regular graphs
Werner Baumgarten1, Tetsuo Ueda, Marcus J B Hauser
1Institut für Experimentelle Physik, Abteilung Biophysik, Otto-von-Guericke Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg, Germany.
Abstract:
The morphology of a typical developing biological transportation network, the vein network of the plasmodium of the myxomycete Physarum polycephalum is analyzed during its free extension. The network forms a classical, regular graph, and has exclusively nodes of degree 3. This contrasts to most real-world transportation networks which show small-world or scale-free properties. The complexity of the vein network arises from the weighting of the lengths, widths, and areas of the vein segments. The lengths and areas follow exponential distributions, while the widths are distributed log-normally. These functional dependencies are robust during the entire evolution of the network, even though the exponents change with time due to the coarsening of the vein network.
Insights
The Physarum polycephalum slime mold forms a unique biological transport network with regular, degree-3 nodes. This vein network
Area of Science:
- * Biological network formation and analysis.
- * Morphological studies of Physarum polycephalum.
Background:
- * Biological transportation networks exhibit diverse structures.
- * Real-world networks often display small-world or scale-free properties.
- * The Physarum polycephalum plasmodium serves as a model for biological network development.
Purpose of the Study:
- * To analyze the morphology of the Physarum polycephalum vein network during its extension.
- * To compare its network topology to other biological and artificial transportation systems.
- * To investigate the distribution of vein segment properties and their evolution.
Main Methods:
- * Morphological analysis of the developing Physarum polycephalum vein network.
- * Topological characterization of the network graph.
- * Statistical analysis of vein segment lengths, widths, and areas.
Main Results:
- * The Physarum polycephalum vein network forms a regular graph with exclusively degree-3 nodes.
- * This structure contrasts with typical small-world or scale-free networks.
- * Vein segment lengths and areas follow exponential distributions, while widths are log-normally distributed.
- * These distributions remain robust throughout network evolution, despite changes in exponents due to coarsening.
Conclusions:
- * The Physarum vein network represents a distinct class of biological transport systems.
- * Its complexity is determined by the statistical weighting of its components.
- * The observed distributions are maintained during network development and coarsening.
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