Chemical Master Equation — Birth-Death Network

The CME governs probability distribution P(n,t) of molecule count n. For ∅ →^λ X →^μ ∅, the steady state is Poisson(λ/μ). Gillespie simulation samples exact stochastic trajectories.

Birth rate λ5.0

Death rate μ1.0

Dimerization k₂ (X+X→)0.00

Simulation speed8

⟨n⟩ theory

5.00

⟨n⟩ simulated

—

Var theory

5.00

Time

0.00

dP(n)/dt =
λ·P(n-1) + μ(n+1)·P(n+1)
− (λ+μn)·P(n)