Model Mathematics

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Component: SGLT1_BG

I_ss = 2 F (- v_r6) Ii = I_zf1 + I_zr1 + I_zf6 + I_zr6 mu_Nai = R T \ln (K_Nai q_Nai) mu_Nao = R T \ln (K_Nao q_Nao) mu_Glci = R T \ln (K_Glci q_Glci) mu_Glco = R T \ln (K_Glco q_Glco) 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 V_zf1 I_zf1 = z_zf1 F v_zf1 mu_zr1 = z_zr1 F V_zr1 I_zr1 = z_zr1 F v_zr1 mu_zf6 = z_zf6 F V_zf6 I_zf6 = z_zf6 F v_zf6 mu_zr6 = z_zr6 F V_zr6 I_zr6 = z_zr6 F v_zr6 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_r7 = kappa_r7 (ⅇ^{\frac{A_f_r7}{R T}} - (ⅇ^{\frac{A_r_r7}{R T}})) v_1 = (- v_r1) + v_r6 v_2 = v_r1 - v_r2 - v_r7 v_3 = v_r2 - v_r3 v_4 = v_r3 - v_r4 v_5 = (v_r4 - v_r5) + v_r7 v_6 = v_r5 - v_r6 v_zf1 = v_r1 V_zf1 = V_Vm v_zr1 = v_r1 V_zr1 = V_Vm v_zf6 = v_r6 V_zf6 = V_Vm v_zr6 = v_r6 V_zr6 = V_Vm A_f_r1 = 2 mu_Nao + mu_1 - mu_zf1 A_r_r1 = mu_2 + mu_zr1 A_f_r2 = mu_Glco + mu_2 A_r_r2 = mu_3 A_f_r3 = mu_3 A_r_r3 = mu_4 A_f_r4 = mu_4 A_r_r4 = mu_Glci + mu_5 A_f_r5 = mu_5 A_r_r5 = 2 mu_Nai + mu_6 A_f_r6 = mu_6 - mu_zf6 A_r_r6 = mu_1 + mu_zr6 A_f_r7 = mu_2 A_r_r7 = mu_5

Component: params_BG

V0_Vm = V_E q_Nai = Nai V_i q_Nao = Nao V_o q_Glci = Glci V_i q_Glco = Glco V_o \frac{d}{d t} (V_E) = rate_VE rate_VE = \{\begin{matrix} 0 if t < 1204.75 e -3 \\ \frac{test_volt + 0.05}{dt} if t \geq 1204.75 e -3 \land t < 1204.75 e -3 + dt \\ 0 if t \geq 1204.75 e -3 + dt \land t < 2984.75 e -3 \\ \frac{- (test_volt + 0.05)}{dt} if t \geq 2984.75 e -3 \land t < 2984.75 e -3 + dt \\ 0 otherwise \end{matrix}