Solutions match when using different modeling regimes ( F
= 1). Mean of 10,000 simulations using (A) d
= 0, yielding perfect adaptation, and (B) d
= 0.01, corresponding to near-perfect adaptation. Trajectories portray SSA simulations (blue), the first moment of exact CME solution using finite state projections (red), and solution of corresponding ODE system (yellow). Input signal 'stimulation' intervals were spaced by 50 units of time between one another, while each subinterval was subdivided into the following time points: [50/214 50/212 50/210 50/28 50/26 50/24 50/22 25 50]. We restricted our state space to all combinations of (P, P
) such that P ∈ [0,110] and P
∈ [0,30], guaranteeing our obtained PDF is closer than 99.99% to the exact solution of the CME, at all considered time points.