Model Mathematics

Cai = 340.7 1 e -6 + 71.31 1 e -6 \ln (time + 0.05)

K_1 = \frac{{Cai}^{n_M}}{{Ca_halfMLCK}^{n_M} + {Cai}^{n_M}} 1

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

E = \frac{R T}{z F} \ln (\frac{X_o}{X_i})

K_4 = \frac{K_3}{4} K_5 = K_2 K_6 = K_1 norm = M + Mp + AM + AMp \frac{d}{d time} (M) = \frac{(- K_1) M}{norm} + \frac{K_2 Mp}{norm} + \frac{K_7 AM}{norm} \frac{d}{d time} (Mp) = \frac{K_4 AMp}{norm} + \frac{K_1 M}{norm} - (\frac{(K_2 + K_3) Mp}{norm}) \frac{d}{d time} (AM) = \frac{K_5 AMp}{norm} - (\frac{(K_6 + K_7) AM}{norm}) \frac{d}{d time} (AMp) = \frac{K_3 Mp}{norm} + \frac{K_6 AM}{norm} - (\frac{(K_4 + K_5) AMp}{norm}) stress = AMp + AM phosphorylation = AMp + Mp

rho_vCa = \frac{1}{1 + ⅇ^{\frac{V_Cahalf - V}{K_Cahalf}}} J_VOCC = \frac{- I_VOCC}{2 V_cell F}

J_CaPump = \frac{(- V_pmax) {Cai}^{n}}{{K_ph}^{n} + {Cai}^{n}}

V_mNaCa = 3 E_Na - (2 E_Ca) J_NaCa = \frac{G_NaCa Cai}{Cai + K_NaCa} (V - V_mNaCa)

\frac{d}{d time} (Cai) = J_VOCC + inhPump J_CaPump + J_NaCa

I = g_max PO (V - E)