Model Mathematics

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Component: environment

\frac{d}{d time} (q_DAG) = v_R2b_PLC + v_R3b_PLC - v_R0_PLC \frac{d}{d time} (q_PC) = v_R0_PLC \frac{d}{d time} (q_IP3) = v_R2b_PLC + v_R3b_PLC - v_R1_PLC \frac{d}{d time} (q_Ino) = v_R1_PLC \frac{d}{d time} (q_PLC) = - v_R4_PLC - v_R5_PLC \frac{d}{d time} (q_Gq) = (- v_R5_PLC) + v_R7_PLC + Gq_stim \frac{d}{d time} (q_Ca) = - v_R4_PLC - v_R6_PLC \frac{d}{d time} (q_Gq_PLC) = v_R5_PLC - v_R6_PLC \frac{d}{d time} (q_Ca_PLC) = (- v_R2a_PLC) + v_R2b_PLC + v_R4_PLC + v_R7_PLC + v_R8_PLC \frac{d}{d time} (q_Ca_Gq_PLC) = (- v_R3a_PLC) + v_R3b_PLC + v_R6_PLC - v_R7_PLC - v_R8_PLC \frac{d}{d time} (q_G_GDP) = v_R8_PLC \frac{d}{d time} (q_PIP2) = - v_R2a_PLC - v_R3a_PLC \frac{d}{d time} (q_CaPLC_PIP2) = v_R2a_PLC - v_R2b_PLC \frac{d}{d time} (q_CaGqPLC_PIP2) = v_R3a_PLC - v_R3b_PLC

tPeriod = time - (⌊ \frac{time}{stimPeriod} ⌋ stimPeriod) Gq_stim = \{\begin{matrix} 0 100 if tPeriod \geq 0.3 \land tPeriod ≦ 0.3 + stimDuration \\ 0.0 otherwise \end{matrix}

cGq = \frac{q_Gq}{vol_myo} cCa = \frac{q_Ca}{vol_myo} cDAG = \frac{q_DAG}{vol_myo} cIP3 = \frac{q_IP3}{vol_myo}

Component: PLC_parameters

Component: PLC

mu_DAG = R T \ln (K_DAG q_DAG) mu_PC = R T \ln (K_PC q_PC) mu_IP3 = R T \ln (K_IP3 q_IP3) mu_Ino = R T \ln (K_Ino q_Ino) mu_PLC = R T \ln (K_PLC q_PLC) mu_Gq = R T \ln (K_Gq q_Gq) mu_Ca = R T \ln (K_Ca q_Ca) mu_Gq_PLC = R T \ln (K_Gq_PLC q_Gq_PLC) mu_Ca_PLC = R T \ln (K_Ca_PLC q_Ca_PLC) mu_Ca_Gq_PLC = R T \ln (K_Ca_Gq_PLC q_Ca_Gq_PLC) mu_G_GDP = R T \ln (K_G_GDP q_G_GDP) mu_PIP2 = R T \ln (K_PIP2 q_PIP2) mu_CaPLC_PIP2 = R T \ln (K_CaPLC_PIP2 q_CaPLC_PIP2) mu_CaGqPLC_PIP2 = R T \ln (K_CaGqPLC_PIP2 q_CaGqPLC_PIP2) v_R0_PLC = kappa_R0_PLC (ⅇ^{\frac{mu_DAG}{R T}} - (ⅇ^{\frac{mu_PC}{R T}})) v_R1_PLC = kappa_R1_PLC (ⅇ^{\frac{mu_IP3}{R T}} - (ⅇ^{\frac{mu_Ino}{R T}})) v_R2a_PLC = kappa_R2a_PLC (ⅇ^{\frac{mu_PIP2 + mu_Ca_PLC}{R T}} - (ⅇ^{\frac{mu_CaPLC_PIP2}{R T}})) v_R2b_PLC = kappa_R2b_PLC (ⅇ^{\frac{mu_CaPLC_PIP2}{R T}} - (ⅇ^{\frac{mu_DAG + mu_IP3 + mu_Ca_PLC}{R T}})) v_R3a_PLC = kappa_R3a_PLC (ⅇ^{\frac{mu_PIP2 + mu_Ca_Gq_PLC}{R T}} - (ⅇ^{\frac{mu_CaGqPLC_PIP2}{R T}})) v_R3b_PLC = kappa_R3b_PLC (ⅇ^{\frac{mu_CaGqPLC_PIP2}{R T}} - (ⅇ^{\frac{mu_DAG + mu_IP3 + mu_Ca_Gq_PLC}{R T}})) v_R4_PLC = kappa_R4_PLC (ⅇ^{\frac{mu_PLC + mu_Ca}{R T}} - (ⅇ^{\frac{mu_Ca_PLC}{R T}})) v_R5_PLC = kappa_R5_PLC (ⅇ^{\frac{mu_PLC + mu_Gq}{R T}} - (ⅇ^{\frac{mu_Gq_PLC}{R T}})) v_R6_PLC = kappa_R6_PLC (ⅇ^{\frac{mu_Gq_PLC + mu_Ca}{R T}} - (ⅇ^{\frac{mu_Ca_Gq_PLC}{R T}})) v_R7_PLC = kappa_R7_PLC (ⅇ^{\frac{mu_Ca_Gq_PLC}{R T}} - (ⅇ^{\frac{mu_Gq + mu_Ca_PLC}{R T}})) v_R8_PLC = kappa_R8_PLC (ⅇ^{\frac{mu_Ca_Gq_PLC}{R T}} - (ⅇ^{\frac{mu_G_GDP + mu_Ca_PLC}{R T}}))

Model Mathematics

Component: environment

Component: PLC_parameters

Component: PLC

Component: units

Component: constants