Model Mathematics

PKACII_RyR = PKACII_RyRtot + \frac{epsilon RyR PKACII_RyR}{Ks_RyR_PKAC}

PP1_RyR = PP1_RyRtot + \frac{epsilon RyRp PP1_RyR}{Ks_RyR_PP1}

PP2A_RyR = PP2A_RyRtot + \frac{epsilon RyRp PP2A_RyR}{Ks_RyR_PP2A}

RyR = RyRtot + \frac{epsilon RyR PKACII_RyR}{Ks_RyR_PKAC}

RyRp = RyRptot + \frac{epsilon RyRp PP1_RyR}{Ks_RyR_PP1} + \frac{epsilon RyRp PP2A_RyR}{Ks_RyR_PP2A}

RyRtot = RyRsum - RyRptot

\frac{d}{d time} (RyRptot) = kPKA_RyR \frac{epsilon RyR PKACII_RyR}{Ks_RyR_PKAC} - (kPP1_RyR \frac{epsilon RyRp PP1_RyR}{Ks_RyR_PP1} + kPP2A_RyR \frac{epsilon RyRp PP2A_RyR}{Ks_RyR_PP2A})

KMrel = \frac{1.64}{1.0 + \frac{RyRptot}{RyRsum}} KMrel0

TnI = TnItot - TnIp

\frac{d}{d time} (TnIp) = \frac{kPKA_TnI PKAC TnI}{KM_PKA_TnI + TnIp} - (\frac{kPP2A_TnI PP2A TnIp}{KM_PP2A_TnI + TnIp})

KMTnC = (1.0 + 0.45 + \frac{TnIp}{TnItot}) KMTnC0