DDM: ⟨T⟩=(a/2v)·tanh(av/2); P_upper=1/(1+e^{−av}); ⟨T⟩|_{v→0}=a²/4; P|_{v=0}=1/2

Layer 3 — Biologyin the cognitive-neuroscience subtree

Sympy-exact symbolic witness of the DDM (drift-diffusion model) first-passage moments and choice-probability canonical forms. Setup: barrier separation a, drift v, both positive symbols; starting point 0; absorbing barriers at ±a/2. Mean…

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Drift-diffusion model (DDM): dx = v·dt + dW_t; absorbing barriers ±a/2; ⟨T⟩=(a/2v)·tanh(av/2)

Explore DDM: ⟨T⟩=(a/2v)·tanh(av/2); P_upper=1/(1+e^{−av}); ⟨T⟩|_{v→0}=a²/4; P|_{v=0}=1/2 on the interactive knowledge graph →