This model is according to the paper Prediction of temporal gene expression metabolic optimization by re-distribution of enzyme activities. The model describe optimal enzyme profiles and meatbolite time courses for the linear metabolic pathway (n=2). Figure1 has been reproduced by roadRunner. The value for k1 and k2 have not explicitly given in the paper, but calculations were performed for equal catalytic efficiencies of the enzymes (ki=k). So curator gave k1=k2=1. Also enzyme concentrations are given in units of Etot; times are given in units of 1/(k*Etot) in the papaer, for simplicity , we use defalut units of the SBML to present the concentration and time. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information. In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not. To cite BioModels Database, please use: Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.
During the initial phase, t smaller than T1 (T1=1), the whole amount of protein is allocated to the first reaction(E1=Etot, E2=0). At the beginning of the second phase the concentration E2 undergoes an abrupt switch from zero to a finite vaule whereas the concentration E1 is descreased by the same extent.