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Stochastic numerical methods for Piecewise Deterministic Markov Processes. Applications in Neuroscience

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Academic year: 2021

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Figure 1 – Simulated trajectory of the membrane potential v (left) and of the corresponding gates m, h and n (right) in the deterministic Hodgkin-Huxley model (1) with a constant applied current Iptq “ 10 and initial condition pv, m, h, nq “ p0, 0, 0, 0q.
Figure 2 – 10 simulated trajectories of the membrane potential ν (left) and of the corresponding proportion of gates θ pmq ,θ phq and θ pnq (right) in the subunit model with a constant applied current Iptq “ 10, initial condition pν, θ pmq , θ phq , θ pnq
Figure 4 – Sodium (Na) scheme.
Figure 6 – Simulated trajectories of the jump rate and the different bounds (optimal- (optimal-P 0.005 , local, global) (left) and of the corresponding ratio λ{˜ λ (right) in the channel model with N Na “ N K “ 3000.
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