courseshub.world · Graduate Course · Ecology & Biophysics

Mycorrhizal Networks

The biophysics of plant–fungus symbiosis: from the LCO → Ca²⁺ signalling cascade in a single cell to the spectral graph theory of the forest "wood-wide web". Eight modules with live FastAPI/SciPy simulations on the cell and forest pages.

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M0
🌳

For Everyone — What Are Mycorrhizal Networks?

An accessible introduction. Trees, fungi, the Wood-Wide Web, mother trees, and the cooperation-vs-competition debate. No calculus required.

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M1
🍄

The Mycorrhizal Symbiosis

The 5-step molecular handshake: strigolactones → LCO → nuclear Ca²⁺ oscillations → CCaMK → arbuscule formation.

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M2
🧮

The 13-Variable Cell ODE

Whole-cell model coupling carbon, phosphorus, nitrogen and signalling. Live simulation with sliders on this page.

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M3
📡

Calcium Frequency Decoding

CCaMK as a biological matched filter — the memory-kernel decoder that distinguishes fungal signal from cellular noise.

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M4
🌲

The Forest Network — Wood-Wide Web

Graph Laplacian, Fiedler λ₂, Villani hypocoercivity, HWI inequality. Live forest network simulation on this page.

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M5
🛡️

Resilience & the Mother-Tree Effect

Scale-free networks are robust to random failure but fragile to targeted attack. The mathematical case for protecting hub trees.

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M6
🧬

Biophysics & Biochemistry

Inside the exchange interface: proton motive force, polyphosphate vacuoles, GS–GOGAT, aquaporins, jasmonate defence, biological markets.

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M7
📚

References & Further Reading

From Simard's Finding the Mother Tree to Villani's Hypocoercivity — a complete reading list at every level.

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