Model Organism · Live GKSL
C. elegans Touch Withdrawal Circuit
24 neurons, 41 synapses. Real-time Lindblad master equation solved in your browser — drag the κ slider to watch probability flow from mechanosensory neurons through command interneurons to motor output. Observe how dephasing controls the quantum-to-classical transition.
Network
Nodes24
Edges41
Density0.149
Diameter7
Topology
Avg path2.94
Clustering0.362
Small-world σ2.34
Components1
CRN Transport
κ* optimal3.0
P_crn at κ*0.997
Gain vs CTQW2.53×
Targets14 motor
Live GKSL Simulation
3.00
1.00
1.00
Sensory (source, ρ₀)
Interneuron
Motor (target/sink)
Node size = ρ_ii
A · P_crn vs κ (ε=1, T=1)
B · Disorder sweep (best κ at each ε)
C · Thermal T_env (ε=1)
D · Target sensitivity
CRN (GKSL)
Thermal CRW
Coherent (CTQW)
Data source: White, J. G. et al. (1986). Touch circuit subgraph: 6 mechanosensory → 4 command interneurons → 14 motor neurons.
Solver: Full Lindblad master equation dρ/dt = -i[H,ρ] + κΣ(Z_k ρ Z_k - ρ) + γΣ_targets(|0⟩⟨k|ρ|k⟩⟨0| - ½{|k⟩⟨k|,ρ}), solved via RK4 directly in JavaScript.
CRN framework: Dolgikh, O. (2026). doi:10.5281/zenodo.18249250
Solver: Full Lindblad master equation dρ/dt = -i[H,ρ] + κΣ(Z_k ρ Z_k - ρ) + γΣ_targets(|0⟩⟨k|ρ|k⟩⟨0| - ½{|k⟩⟨k|,ρ}), solved via RK4 directly in JavaScript.
CRN framework: Dolgikh, O. (2026). doi:10.5281/zenodo.18249250