Travelling Wave

How fungal networks find their own critical density
The fungus Rhizophagus irregularis grows as a network of thin tubes (hyphae) that self-organizes through a negative feedback loop. At low density, branching dominates and the network expands. At high density, tips fuse with existing hyphae (anastomosis), eliminating tips and creating transport loops. The result is a travelling wave: an advancing front of sparse explorer hyphae with a densifying rear of efficient loops.
Shimizu et al., Nature 639, 172–180 (2025)
Density 0 / 1000 μm/mm²
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Active Tips
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Fusion Events
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Network Age
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Wavefront
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Loop Efficiency (fusions / total branch events)