Model Mathematics

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Component: BG_SERCA

Ii = I_zf1 + I_zr1 + I_zf2 + I_zr2 mu_Hi = R T \ln (K_Hi q_Hi) mu_Ho = R T \ln (K_Ho q_Ho) mu_Cai = R T \ln (K_Cai q_Cai) mu_Cao = R T \ln (K_Cao q_Cao) mu_Pi = R T \ln (K_Pi q_Pi) mu_ATPi = R T \ln (K_ATPi q_ATPi) mu_ADPi = R T \ln (K_ADPi q_ADPi) mu_1 = R T \ln (K_1 q_1) \frac{d}{d t} (q_1) = v_1 mu_2 = R T \ln (K_2 q_2) \frac{d}{d t} (q_2) = v_2 mu_3 = R T \ln (K_3 q_3) \frac{d}{d t} (q_3) = v_3 mu_4 = R T \ln (K_4 q_4) \frac{d}{d t} (q_4) = v_4 mu_5 = R T \ln (K_5 q_5) \frac{d}{d t} (q_5) = v_5 mu_6 = R T \ln (K_6 q_6) \frac{d}{d t} (q_6) = v_6 V_Vm = V0_Vm mu_zf1 = z_zf1 F Vm_zf1 I_zf1 = z_zf1 F v_zf1 mu_zr1 = z_zr1 F Vm_zr1 I_zr1 = z_zr1 F v_zr1 mu_zf2 = z_zf2 F Vm_zf2 I_zf2 = z_zf2 F v_zf2 mu_zr2 = z_zr2 F Vm_zr2 I_zr2 = z_zr2 F v_zr2 A_f_r1 = mu_ATPi + mu_1 A_r_r1 = mu_2 A_f_r2 = mu_2 + nCa mu_Cai A_r_r2 = mu_3 + nH mu_Hi + mu_zr2 A_f_r3 = mu_3 A_r_r3 = mu_4 + mu_ADPi A_f_r4 = mu_4 A_r_r4 = mu_5 + nCa mu_Cao + mu_zr1 A_f_r5 = mu_5 A_r_r5 = mu_6 + nH mu_Ho A_f_r6 = mu_6 A_r_r6 = mu_1 + mu_Pi v_r1 = kappa_r1 (ⅇ^{\frac{A_f_r1}{R T}} - (ⅇ^{\frac{A_r_r1}{R T}})) v_r2 = kappa_r2 (ⅇ^{\frac{A_f_r2}{R T}} - (ⅇ^{\frac{A_r_r2}{R T}})) v_r3 = kappa_r3 (ⅇ^{\frac{A_f_r3}{R T}} - (ⅇ^{\frac{A_r_r3}{R T}})) v_r4 = kappa_r4 (ⅇ^{\frac{A_f_r4}{R T}} - (ⅇ^{\frac{A_r_r4}{R T}})) v_r5 = kappa_r5 (ⅇ^{\frac{A_f_r5}{R T}} - (ⅇ^{\frac{A_r_r5}{R T}})) v_r6 = kappa_r6 (ⅇ^{\frac{A_f_r6}{R T}} - (ⅇ^{\frac{A_r_r6}{R T}})) v_1 = v_r6 - v_r1 v_2 = v_r1 - v_r2 v_3 = v_r2 - v_r3 v_4 = v_r3 - v_r4 v_5 = v_r4 - v_r5 v_6 = v_r5 - v_r6 v_zf1 = v_r4 Vm_zf1 = V_Vm v_zr1 = v_r4 Vm_zr1 = V_Vm v_zf2 = v_r2 Vm_zf2 = V_Vm v_zr2 = v_r2 Vm_zr2 = V_Vm

Component: params_BG

V0_Vm = V_E q_Cai = Cai V_i q_Cao = Cao V_o q_Pi = Pi V_o q_ATPi = ATPi V_o q_ADPi = ADPi V_o q_Hi = Hi V_i q_Ho = Ho V_o \frac{d}{d t} (V_E) = 0