Model Mathematics

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Component: environment

\frac{d}{d t} (q_Ca_i) = v_Ca_i_SERCA \frac{d}{d t} (q_Ca_SR) = v_Ca_SR_SERCA \frac{d}{d t} (q_H_i) = v_H_SERCA \frac{d}{d t} (q_MgADP) = v_MgADP_SERCA \frac{d}{d t} (q_MgATP) = v_MgATP_SERCA \frac{d}{d t} (q_Pi) = v_Pi_SERCA

Component: SERCA_parameters

Component: SERCA

q_SERCA_Ca_complexes = n_Ca_i q_P4_SERCA + n_Ca_i q_P5_SERCA + n_Ca_SR q_P6_SERCA

vol_sr = vol_i 0.035 vol_isr = vol_i + vol_sr c_Ca_i = \frac{q_Ca_i}{vol_i} c_Ca_SR = \frac{q_Ca_SR}{vol_sr} c_H = \frac{q_H_i}{vol_isr} c_MgADP = \frac{q_MgADP}{vol_i} c_MgATP = \frac{q_MgATP}{vol_i} c_Pi = \frac{q_Pi}{vol_i}

mu_Ca_i = R T \ln (K_Ca_i q_Ca_i) mu_Ca_SR = R T \ln (K_Ca_SR q_Ca_SR) mu_H = R T \ln (K_H q_H_i) mu_MgADP = R T \ln (K_MgADP q_MgADP) mu_MgATP = R T \ln (K_MgATP q_MgATP) mu_Pi = R T \ln (K_Pi q_Pi) mu_P1 = R T \ln (K_P1_SERCA q_P1_SERCA) mu_P2 = R T \ln (K_P2_SERCA q_P2_SERCA) mu_P2a = R T \ln (K_P2a_SERCA q_P2a_SERCA) mu_P4 = R T \ln (K_P4_SERCA q_P4_SERCA) mu_P5 = R T \ln (K_P5_SERCA q_P5_SERCA) mu_P10 = R T \ln (K_P10_SERCA q_P10_SERCA) mu_P6 = R T \ln (K_P6_SERCA q_P6_SERCA) mu_P8 = R T \ln (K_P8_SERCA q_P8_SERCA) mu_P9 = R T \ln (K_P9_SERCA q_P9_SERCA) mu_PLBp_baseline = R T \ln (K_PLBp q_PLBp) mu_PLBp = R T \ln (K_PLBp q_PLBp_baseline) mu_PLBp_eff = mu_PLBp_baseline - mu_PLBp Af_R10_1 = mu_P10 + mu_PLBp_eff Ar_R10_1 = mu_P1 + mu_Pi + mu_PLBp_eff Af_R1_2 = mu_P1 + mu_MgATP + mu_PLBp_eff Ar_R1_2 = mu_P2 + mu_PLBp_eff Af_R5_6 = mu_P5 + mu_PLBp_eff Ar_R5_6 = mu_MgADP + mu_P6 + mu_PLBp_eff Af_R2_2a = mu_P2 + mu_H + mu_PLBp_eff Ar_R2_2a = mu_P2a + mu_PLBp_eff Af_R2_4 = mu_P2 + n_Ca_i mu_Ca_i + mu_PLBp_eff Ar_R2_4 = mu_P4 + mu_PLBp_eff Af_R4_5 = mu_P4 + mu_PLBp_eff Ar_R4_5 = mu_P5 + n_H mu_H + mu_PLBp_eff Af_R6_8 = mu_P6 + mu_PLBp_eff Ar_R6_8 = mu_P8 + n_Ca_SR mu_Ca_SR + mu_PLBp_eff Af_R8_9 = mu_P8 + n_H mu_H + mu_PLBp_eff Ar_R8_9 = mu_P9 + mu_PLBp_eff Af_R9_10 = mu_P9 + mu_PLBp_eff Ar_R9_10 = mu_H + mu_P10 + mu_PLBp_eff v_SERCA_R10_1 = kappa_SERCA_R10_1 (ⅇ^{\frac{Af_R10_1}{R T}} - (ⅇ^{\frac{Ar_R10_1}{R T}})) v_SERCA_R10_1_noPLBp = kappa_SERCA_R10_1 (ⅇ^{\frac{mu_P10}{R T}} - (ⅇ^{\frac{mu_P1 + mu_Pi}{R T}})) v_SERCA_R1_2 = kappa_SERCA_R1_2 (ⅇ^{\frac{Af_R1_2}{R T}} - (ⅇ^{\frac{Ar_R1_2}{R T}})) v_SERCA_R5_6 = kappa_SERCA_R5_6 (ⅇ^{\frac{Af_R5_6}{R T}} - (ⅇ^{\frac{Ar_R5_6}{R T}})) v_SERCA_R2_2a = kappa_SERCA_R2_2a (ⅇ^{\frac{Af_R2_2a}{R T}} - (ⅇ^{\frac{Ar_R2_2a}{R T}})) v_SERCA_R2_4 = kappa_SERCA_R2_4 (ⅇ^{\frac{Af_R2_4}{R T}} - (ⅇ^{\frac{Ar_R2_4}{R T}})) v_SERCA_R4_5 = kappa_SERCA_R4_5 (ⅇ^{\frac{Af_R4_5}{R T}} - (ⅇ^{\frac{Ar_R4_5}{R T}})) v_SERCA_R6_8 = kappa_SERCA_R6_8 (ⅇ^{\frac{Af_R6_8}{R T}} - (ⅇ^{\frac{Ar_R6_8}{R T}})) v_SERCA_R8_9 = kappa_SERCA_R8_9 (ⅇ^{\frac{Af_R8_9}{R T}} - (ⅇ^{\frac{Ar_R8_9}{R T}})) v_SERCA_R9_10 = kappa_SERCA_R9_10 (ⅇ^{\frac{Af_R9_10}{R T}} - (ⅇ^{\frac{Ar_R9_10}{R T}})) v_Ca_i_SERCA = (- n_Ca_i) v_SERCA_R2_4 v_Ca_SR_SERCA = n_Ca_SR v_SERCA_R6_8 v_H_SERCA = (n_H v_SERCA_R4_5 - v_SERCA_R2_2a - (n_H v_SERCA_R8_9)) + v_SERCA_R9_10 v_MgADP_SERCA = v_SERCA_R5_6 v_MgATP_SERCA = - v_SERCA_R1_2 v_Pi_SERCA = v_SERCA_R10_1 v_P1 = v_SERCA_R10_1 - v_SERCA_R1_2 v_P2 = v_SERCA_R1_2 - v_SERCA_R2_4 v_P2a = v_SERCA_R2_2a v_P4 = v_SERCA_R2_4 - v_SERCA_R4_5 v_P5 = v_SERCA_R4_5 - v_SERCA_R5_6 v_P10 = v_SERCA_R9_10 - v_SERCA_R10_1 v_P6 = v_SERCA_R5_6 - v_SERCA_R6_8 v_P8 = v_SERCA_R6_8 - v_SERCA_R8_9 v_P9 = v_SERCA_R8_9 - v_SERCA_R9_10 \frac{d}{d t} (q_P1_SERCA) = v_P1 \frac{d}{d t} (q_P2_SERCA) = v_P2 \frac{d}{d t} (q_P2a_SERCA) = v_P2a \frac{d}{d t} (q_P4_SERCA) = v_P4 \frac{d}{d t} (q_P5_SERCA) = v_P5 \frac{d}{d t} (q_P10_SERCA) = v_P10 \frac{d}{d t} (q_P6_SERCA) = v_P6 \frac{d}{d t} (q_P8_SERCA) = v_P8 \frac{d}{d t} (q_P9_SERCA) = v_P9

Model Mathematics

Component: environment

Component: SERCA_parameters

Component: SERCA

Component: units

Component: constants