Model Mathematics

Component: environment

Component: M

ddtimeM=- k1 ⁢ M + k2 ⁢ Mp + gx ⁢ AM

Component: Mp

ddtimeMp= k1 ⁢ M +- k2 - fp ⁢ Mp + gp ⁢ AMp

Component: AMp

ddtimeAMp= fp ⁢ Mp +- k5 - gp ⁢ AMp + k6 ⁢ AM

Component: AM

ddtimeAM= k5 ⁢ AMp +- k6 - gx ⁢ AM

Component: model_parameters

k1 = 0.35 if time < 0.0 ∧ time < 5.0 0.060 otherwise k6 = k1 fp = 0.0 if x < 0.0 fp1 ⁢ x h if x ≥ 0.0 ∧ x ≥ h 0.0 if h < x gp = gp2 if x < 0.0 gp1 ⁢ x h if x ≥ 0.0 ∧ x ≥ h gp1 + gp3 ⁢ x h if h < x gx = g2 if x < 0.0 g1 ⁢ x h if x ≥ 0.0 ∧ x ≥ h g1 + g3 ⁢ x h if h < x gp2 = 4.0 ⁢ fp1 + gp1 g2 = 20.0 ⁢ g1 g3 = 3.0 ⁢ g1 gp3 = 3.0 ⁢ gp1