Cell Cycle Model; Tyson (1991, 6 variables)

Citation
Tyson JJ, (1991). Modeling the cell division cycle: cdc2 and cyclin interactions. PNAS, 88: 7328-7332. http://www.pnas.org/cgi/content/abstract/88/16/7328
Description
A model of the cell cycle based on the interactions between cdc2 and cyclin. The model has six dynamic variables: C2 (cdc2); CP (cdc2-P complex); pM (P-cyclin-cdc2-P complex); M (active MPF, P-cyclin-cdc2 complex); Y (cyclin); and YP (cyclin-P). Total cyclin concentration (YT) is the sum YT=Y+YP+pM+M4
Rate constant       Reaction
k1aa = 0.015 EmptySet -> Y
k2 = 0 Y -> EmptySet
k3 = 200 CP + Y -> pM
k4prime + k4*M[t]^2 pM -> M
k5notP = 0 M -> pM
k6 = 1 M -> C2 + YP
k7 = 0.6 YP -> EmptySet
k8notP = 1000000 C2 -> CP
k9 = 1000 CP -> C2
Variable IC   ODE
C2 0 C2'[t] == -(k8notP*C2[t]) + k9*CP[t] + k6*M[t]
CP 1 CP'[t] == k8notP*C2[t] - k9*CP[t] - k3*CP[t]*Y[t]
M 0 M'[t] == -(k5notP*M[t]) - k6*M[t] + (k4prime + k4*M[t]^2)*pM[t]
pM 0.3 pM'[t] == k5notP*M[t] - (k4prime + k4*M[t]^2)*pM[t] + k3*CP[t]*Y[t]
Y 0 Y'[t] == k1aa - k2*Y[t] - k3*CP[t]*Y[t]
YP 0 YP'[t] == k6*M[t] - k7*YP[t]

Generated by Cellerator Version 1.0 update 2.1125 using Mathematica 4.2 for Mac OS X (June 4, 2002), November 27, 2002 12:12:10, using (PowerMac,PowerPC, Mac OS X,MacOSX,Darwin)

author=B.E.Shapiro

 Shapiro Bruce bshapiro@jpl.nasa.gov NASA Jet Propulsion Laboratory 2005-02-08T18:28:27 2005-06-27T16:54:42 k6 M C2 k8notP CP k9 CP k3 Y k5notP M k1aa k2 Y k7 YP pM k4prime k4 M 2