Model Mathematics

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Component: environment

q_cAMP = q_cAMP_mPKA + q_cAMP_init q_PKI = q_PKI_mPKA + q_PKI_init q_PKACI = q_PKACI_mPKA + q_PKACI_init q_ARCI = q_ARCI_mPKA + q_ARCI_init q_A2RCI = q_A2RCI_mPKA + q_A2RCI_init q_CI = q_CI_mPKA + q_CI_init q_A2RI = q_A2RI_mPKA + q_A2RI_init q_PKACI_PKI = q_PKACI_PKI_mPKA + q_PKACI_PKI_init q_PKACII = q_PKACII_mPKA + q_PKACII_init q_ARCII = q_ARCII_mPKA + q_ARCII_init q_A2RCII = q_A2RCII_mPKA + q_A2RCII_init q_CII = q_CII_mPKA + q_CII_init q_A2RII = q_A2RII_mPKA + q_A2RII_init q_PKACII_PKI = q_PKACII_PKI_mPKA + q_PKACII_PKI_init

Component: PKA_parameters

Component: PKA

mu_cAMP = R T \ln (K_cAMP q_cAMP_global) mu_PKI = R T \ln (K_PKI q_PKI_global) mu_PKACI = R T \ln (K_PKACI q_PKACI_global) mu_ARCI = R T \ln (K_ARCI q_ARCI_global) mu_A2RCI = R T \ln (K_A2RCI q_A2RCI_global) mu_CI = R T \ln (K_CI q_CI_global) mu_A2RI = R T \ln (K_A2RI q_A2RI_global) mu_PKACI_PKI = R T \ln (K_PKACI_PKI q_PKACI_PKI_global) mu_PKACII = R T \ln (K_PKACII q_PKACII_global) mu_ARCII = R T \ln (K_ARCII q_ARCII_global) mu_A2RCII = R T \ln (K_A2RCII q_A2RCII_global) mu_CII = R T \ln (K_CII q_CII_global) mu_A2RII = R T \ln (K_A2RII q_A2RII_global) mu_PKACII_PKI = R T \ln (K_PKACII_PKI q_PKACII_PKI_global) vaI = kappa_aI (ⅇ^{\frac{mu_PKACI + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_ARCI}{R T}})) vbI = kappa_bI (ⅇ^{\frac{mu_ARCI + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_A2RCI}{R T}})) vdI = kappa_dI (ⅇ^{\frac{mu_A2RCI}{R T}} - (ⅇ^{\frac{mu_A2RI + mu_CI}{R T}})) viI = kappa_iI (ⅇ^{\frac{mu_CI + mu_PKI}{R T}} - (ⅇ^{\frac{mu_PKACI_PKI}{R T}})) vaII = kappa_aII (ⅇ^{\frac{mu_PKACII + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_ARCII}{R T}})) vbII = kappa_bII (ⅇ^{\frac{mu_ARCII + mu_cAMP}{R T}} - (ⅇ^{\frac{mu_A2RCII}{R T}})) vdII = kappa_dII (ⅇ^{\frac{mu_A2RCII}{R T}} - (ⅇ^{\frac{mu_A2RII + mu_CII}{R T}})) viII = kappa_iII (ⅇ^{\frac{mu_CII + mu_PKI}{R T}} - (ⅇ^{\frac{mu_PKACII_PKI}{R T}})) \frac{d}{d time} (q_cAMP) = - vaI - vbI - vaII - vbII \frac{d}{d time} (q_PKI) = - viI - viII \frac{d}{d time} (q_PKACI) = - vaI \frac{d}{d time} (q_ARCI) = vaI - vbI \frac{d}{d time} (q_A2RCI) = vbI - vdI \frac{d}{d time} (q_CI) = vdI - viI \frac{d}{d time} (q_A2RI) = vdI \frac{d}{d time} (q_PKACI_PKI) = viI \frac{d}{d time} (q_PKACII) = - vaII \frac{d}{d time} (q_ARCII) = vaII - vbII \frac{d}{d time} (q_A2RCII) = vbII - vdII \frac{d}{d time} (q_CII) = vdII - viII \frac{d}{d time} (q_A2RII) = vdII \frac{d}{d time} (q_PKACII_PKI) = viII

Model Mathematics

Component: environment

Component: PKA_parameters

Component: PKA

Component: units

Component: constants