Slide 11 of 79
Notes:
With any large system of equations you expect a lot of parameters and this model doesn’t disappointed. Again you can see: k1 -the rate constant for cyclin synthesis and v2” -the rate constant for cyclin degradation. Parameters were estimated by Novak and Tyson in order for the model to be consistent with several important experiments in frog egg extracts. However there where no direct experimental measurements of rate constants.
In 95 Kumagai&Dunphy did a series of experiments on the component steps which where used in 98 to re-estimate the rate constants in the Novak-Tyson model. About 2/3 of the rate constants could be estimated by these experiments (None of the Michaleas constants have been measured experimentally). Novak and Tyson designed this model to reproduce the experimental data seen so far. We want to explore the model beyond these experimental regions by varying several key parameters to see how these solutions connect as well as what other solutions might exist. This type of analysis is best done using bifurcation theory.