Model Mathematics

\frac{d}{d time} (q_Ca_i) = - v_TCC \frac{d}{d time} (q_Ca_o) = v_TCC

tPeriod = time - (⌊ \frac{time}{stimPeriod} ⌋ stimPeriod) I_stim = 0 V_mem = \{\begin{matrix} - 0.09 if time \geq 0 \land time < 0.4 \\ - 0.06 if time > 1.1 \land time < 2.1 \\ 0.04 if time > 2.2 \land time < 3.1 \\ - 0.09 if time > 3.5 \\ - 0.08 otherwise \end{matrix} q_mem = V_mem C_m

Am_TCC = zCa F V_mem u_Ca_i = R T \ln (K_Ca_i q_Ca_i) u_Ca_o = R T \ln (K_Ca_o q_Ca_o) Af_Ca = mu_s11_TCC + u_Ca_i + Am_TCC Ar_Ca = mu_s11_TCC + u_Ca_o v_TCC = \{\begin{matrix} kappa_TCC (ⅇ^{\frac{Af_Ca}{R T}} - (ⅇ^{\frac{Ar_Ca}{R T}})) if Am_TCC = 0 \\ \frac{\frac{kappa_TCC Am_TCC}{R T}}{ⅇ^{\frac{Am_TCC}{R T}} - 1} (ⅇ^{\frac{Af_Ca}{R T}} - (ⅇ^{\frac{Ar_Ca}{R T}})) otherwise \end{matrix} V_mem = \frac{q_mem}{C_m} I_mem_TCC = F ((- zCa) v_TCC + v_R1_TCC (z_dr - z_df) + v_R2_TCC (z_dr - z_df) + v_R3_TCC (z_fr - z_ff) + v_R4_TCC (z_fr - z_ff))

Af_R1_TCC = mu_s00_TCC + z_df F V_mem Ar_R1_TCC = mu_s10_TCC + z_dr F V_mem Af_R2_TCC = mu_s01_TCC + z_df F V_mem Ar_R2_TCC = mu_s11_TCC + z_dr F V_mem Af_R3_TCC = mu_s00_TCC + z_ff F V_mem Ar_R3_TCC = mu_s01_TCC + z_fr F V_mem Af_R4_TCC = mu_s10_TCC + z_ff F V_mem Ar_R4_TCC = mu_s11_TCC + z_fr F V_mem v_R1_TCC = kappa_R1_TCC (ⅇ^{\frac{Af_R1_TCC}{R T}} - (ⅇ^{\frac{Ar_R1_TCC}{R T}})) v_R2_TCC = kappa_R2_TCC (ⅇ^{\frac{Af_R2_TCC}{R T}} - (ⅇ^{\frac{Ar_R2_TCC}{R T}})) v_R3_TCC = kappa_R3_TCC (ⅇ^{\frac{Af_R3_TCC}{R T}} - (ⅇ^{\frac{Ar_R3_TCC}{R T}})) v_R4_TCC = kappa_R4_TCC (ⅇ^{\frac{Af_R4_TCC}{R T}} - (ⅇ^{\frac{Ar_R4_TCC}{R T}})) v_s00_TCC = - v_R1_TCC - v_R3_TCC v_s10_TCC = v_R1_TCC - v_R4_TCC v_s01_TCC = v_R3_TCC - v_R2_TCC v_s11_TCC = v_R2_TCC + v_R4_TCC mu_s00_TCC = R T \ln (K_S00_TCC q_s00_TCC) mu_s10_TCC = R T \ln (K_S10_TCC q_s10_TCC) mu_s01_TCC = R T \ln (K_S01_TCC q_s01_TCC) mu_s11_TCC = R T \ln (K_S11_TCC q_s11_TCC) \frac{d}{d t} (q_s00_TCC) = v_s00_TCC \frac{d}{d t} (q_s10_TCC) = v_s10_TCC \frac{d}{d t} (q_s01_TCC) = v_s01_TCC \frac{d}{d t} (q_s11_TCC) = v_s11_TCC