Model Mathematics

m = \frac{stimMag}{tR} q_L_B1_init = \{\begin{matrix} stimHolding + m ((time - stimSt) + tR) if time < stimSt \land time > stimSt - tR \\ stimMag + stimHolding if time \geq stimSt \land time < stimSt + stimDur \\ stimHolding + (- m) (time - stimSt - tR - stimDur) if time < stimSt + tR + stimDur \land time \geq stimSt + stimDur \\ stimHolding otherwise \end{matrix}

q_L_B1 = q_L_B1_mLRGbinding_B1AR + q_L_B1_init q_R_B1 = q_R_B1_mLRGbinding_B1AR + q_R_B1_init q_Gs = q_Gs_mLRGbinding_B1AR + q_Gs_init q_LR_B1 = q_LR_B1_mLRGbinding_B1AR + q_LR_B1_init q_R_B1Gs = q_R_B1Gs_mLRGbinding_B1AR + q_R_B1Gs_init q_LR_B1Gs = q_LR_B1Gs_mLRGbinding_B1AR + q_LR_B1Gs_init

mu_L_B1 = R T \ln (K_L_B1 q_L_B1_global) mu_R_B1 = R T \ln (K_R_B1 q_R_B1_global) mu_Gs = R T \ln (K_Gs q_Gs_global) mu_LR_B1 = R T \ln (K_LR_B1 q_LR_B1_global) mu_R_B1Gs = R T \ln (K_R_B1Gs q_R_B1Gs_global) mu_LR_B1Gs = R T \ln (K_LR_B1Gs q_LR_B1Gs_global) v_R_C_B1 = kappa_R_C_B1 ⅇ^{\frac{mu_R_B1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_R_B1Gs}{R T}}) v_R_R_B1 = kappa_R_R_B1 ⅇ^{\frac{mu_LR_B1 + mu_Gs}{R T}} - (ⅇ^{\frac{mu_LR_B1Gs}{R T}}) v_R_L_B1 = kappa_R_L_B1 ⅇ^{\frac{mu_R_B1 + mu_L_B1}{R T}} - (ⅇ^{\frac{mu_LR_B1}{R T}}) \frac{d}{d time} (q_L_B1) = - v_R_L_B1 \frac{d}{d time} (q_R_B1) = - v_R_C_B1 - v_R_L_B1 \frac{d}{d time} (q_Gs) = - v_R_C_B1 - v_R_R_B1 \frac{d}{d time} (q_LR_B1) = (- v_R_R_B1) + v_R_L_B1 \frac{d}{d time} (q_R_B1Gs) = v_R_C_B1 \frac{d}{d time} (q_LR_B1Gs) = v_R_R_B1