Model Mathematics

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Component: environment

\frac{d}{d t} (q_K_o) = v_K_o_NaK \frac{d}{d t} (q_K_i) = v_K_i_NaK \frac{d}{d t} (q_Na_o) = v_Na_o_NaK \frac{d}{d t} (q_Na_i) = v_Na_i_NaK \frac{d}{d t} (q_H_i) = v_H_NaK \frac{d}{d t} (q_MgADP) = v_MgADP_NaK \frac{d}{d t} (q_MgATP) = v_MgATP_NaK \frac{d}{d t} (q_Pi) = v_Pi_NaK

\frac{d}{d t} (q_mem) = q_mem_mNaK

Component: NaK_parameters

Component: NaK

V_mem = \frac{q_mem}{C_m} I_mem_NaK = zF_8 v_R8 + zF_5 v_R5 mu_H = R T \ln (K_H q_H_i) mu_K_o = R T \ln (K_K_o q_K_o) mu_K_i = R T \ln (K_K_i q_K_i) mu_MgADP = R T \ln (K_MgADP q_MgADP) mu_MgATP = R T \ln (K_MgATP q_MgATP) mu_Na_o = R T \ln (K_Na_o q_Na_o) mu_Na_i = R T \ln (K_Na_i q_Na_i) mu_P1 = R T \ln (K_1_NaK q_P1) mu_P10 = R T \ln (K_10_NaK q_P10) mu_P11 = R T \ln (K_11_NaK q_P11) mu_P12 = R T \ln (K_12_NaK q_P12) mu_P13 = R T \ln (K_13_NaK q_P13) mu_P14 = R T \ln (K_14_NaK q_P14) mu_P15 = R T \ln (K_15_NaK q_P15) mu_P2 = R T \ln (K_2_NaK q_P2) mu_P3 = R T \ln (K_3_NaK q_P3) mu_P4 = R T \ln (K_4_NaK q_P4) mu_P5 = R T \ln (K_5_NaK q_P5) mu_P6 = R T \ln (K_6_NaK q_P6) mu_P7 = R T \ln (K_7_NaK q_P7) mu_P8 = R T \ln (K_8_NaK q_P8) mu_P9 = R T \ln (K_9_NaK q_P9) mu_Pi = R T \ln (K_Pi q_Pi) v_R1 = kappa_1_NaK (ⅇ^{\frac{Af_R1}{R T}} - (ⅇ^{\frac{Ar_R1}{R T}})) v_R10 = kappa_10_NaK (ⅇ^{\frac{Af_R10}{R T}} - (ⅇ^{\frac{Ar_R10}{R T}})) v_R11 = kappa_11_NaK (ⅇ^{\frac{Af_R11}{R T}} - (ⅇ^{\frac{Ar_R11}{R T}})) v_R12 = kappa_12_NaK (ⅇ^{\frac{Af_R12}{R T}} - (ⅇ^{\frac{Ar_R12}{R T}})) v_R13 = kappa_13_NaK (ⅇ^{\frac{Af_R13}{R T}} - (ⅇ^{\frac{Ar_R13}{R T}})) v_R14 = kappa_14_NaK (ⅇ^{\frac{Af_R14}{R T}} - (ⅇ^{\frac{Ar_R14}{R T}})) v_R15 = kappa_15_NaK (ⅇ^{\frac{Af_R15}{R T}} - (ⅇ^{\frac{Ar_R15}{R T}})) v_R2 = kappa_2_NaK (ⅇ^{\frac{Af_R2}{R T}} - (ⅇ^{\frac{Ar_R2}{R T}})) v_R3 = kappa_3_NaK (ⅇ^{\frac{Af_R3}{R T}} - (ⅇ^{\frac{Ar_R3}{R T}})) v_R4 = kappa_4_NaK (ⅇ^{\frac{Af_R4}{R T}} - (ⅇ^{\frac{Ar_R4}{R T}})) v_R5 = kappa_5_NaK (ⅇ^{\frac{Af_R5}{R T}} - (ⅇ^{\frac{Ar_R5}{R T}})) v_R6 = kappa_6_NaK (ⅇ^{\frac{Af_R6}{R T}} - (ⅇ^{\frac{Ar_R6}{R T}})) v_R7 = kappa_7_NaK (ⅇ^{\frac{Af_R7}{R T}} - (ⅇ^{\frac{Ar_R7}{R T}})) v_R8 = kappa_8_NaK (ⅇ^{\frac{Af_R8}{R T}} - (ⅇ^{\frac{Ar_R8}{R T}})) v_R9 = kappa_9_NaK (ⅇ^{\frac{Af_R9}{R T}} - (ⅇ^{\frac{Ar_R9}{R T}})) Af_R1 = mu_P1 Af_R10 = mu_P10 Af_R11 = mu_P11 + mu_K_o Af_R12 = mu_P12 + mu_K_o Af_R13 = mu_P13 Af_R14 = mu_P14 + mu_MgATP Af_R15 = mu_P15 Af_R2 = mu_P2 Af_R3 = mu_P3 + mu_Na_i Af_R4 = mu_P4 + mu_Na_i Af_R5 = mu_P5 + mu_Na_i Af_R6 = mu_P6 Af_R7 = mu_P7 Af_R8 = mu_P8 Af_R9 = mu_P9 Ar_R1 = mu_K_i + mu_P2 Ar_R10 = mu_Na_o + mu_P11 Ar_R11 = mu_P12 Ar_R12 = mu_P13 Ar_R13 = mu_H + mu_Pi + mu_P14 Ar_R14 = mu_P15 Ar_R15 = mu_P1 Ar_R2 = mu_P3 + mu_K_i Ar_R3 = mu_P4 Ar_R4 = mu_P5 Ar_R5 = R T \ln (K_6_NaK q_P6) + zF_5 V_mem Ar_R6 = mu_P7 + mu_MgADP Ar_R7 = mu_P8 Ar_R8 = zF_8 V_mem + R T \ln (K_Na_o q_Na_o) + R T \ln (K_9_NaK q_P9) Ar_R9 = mu_P10 + mu_Na_o v_H_NaK = v_R13 v_K_o_NaK = - v_R11 - v_R12 v_K_i_NaK = v_R1 + v_R2 v_MgADP_NaK = v_R6 v_MgATP_NaK = - v_R14 v_Na_o_NaK = v_R8 + v_R9 + v_R10 v_Na_i_NaK = - v_R3 - (v_R4 + v_R5) v_P1 = (- v_R1) + v_R15 v_P10 = v_R9 - v_R10 v_P11 = v_R10 - v_R11 v_P12 = (- v_R12) + v_R11 v_P13 = v_R12 - v_R13 v_P14 = (- v_R14) + v_R13 v_P15 = v_R14 - v_R15 v_P2 = (- v_R2) + v_R1 v_P3 = v_R2 - v_R3 v_P4 = v_R3 - v_R4 v_P5 = v_R4 - v_R5 v_P6 = v_R5 - v_R6 v_P7 = v_R6 - v_R7 v_P8 = (- v_R8) + v_R7 v_P9 = v_R8 - v_R9 v_Pi_NaK = v_R13 \frac{d}{d t} (q_P7) = v_P7 \frac{d}{d t} (q_P14) = v_P14 \frac{d}{d t} (q_P15) = v_P15 \frac{d}{d t} (q_P1) = v_P1 \frac{d}{d t} (q_P2) = v_P2 \frac{d}{d t} (q_P3) = v_P3 \frac{d}{d t} (q_P4) = v_P4 \frac{d}{d t} (q_P5) = v_P5 \frac{d}{d t} (q_P6) = v_P6 \frac{d}{d t} (q_P10) = v_P10 \frac{d}{d t} (q_P11) = v_P11 \frac{d}{d t} (q_P12) = v_P12 \frac{d}{d t} (q_P13) = v_P13 \frac{d}{d t} (q_P8) = v_P8 \frac{d}{d t} (q_P9) = v_P9

Model Mathematics

Component: environment

Component: NaK_parameters

Component: NaK

Component: units