WOLFRAM SYSTEM MODELER
This example is a Modelica version of the model presented in A. Goldbeter, "A Minimal Cascade Model for the Mitotic Oscillator Involving Cyclin and cdc2 Kinase," Proceedings of the National Academy of Sciences of United States of America, 88(20), 1991 pp.
A minimal model for the mitotic oscillator is presented. The model, built on recent experimental advances, is based on the cascade of post-translational modification that modulates the activity of cdc2 kinase during the cell cycle. The model pertains to the situation encountered in early amphibian embryos, where the accumulation of cyclin suffices to trigger the onset of mitosis. In the first cycle of the bicyclic cascade model, cyclin promotes the activation of cdc2 kinase through reversible dephosphorylation, and in the second cycle, cdc2 kinase activates a cyclin protease by reversible phosphorylation. That cyclin activates cdc2 kinase while the kinase triggers the degradation of cyclin has suggested that oscillations may originate from such a negative feedback loop [M. A. Félix, J. C. Labbé, M. Dorée, T. Hunt, and E. Karsenti, "Triggering of Cyclin Degradation in Interphase Extracts of Amphibian Eggs by cdc2 Kinase," Nature, 346, 1990 pp.
The simulation results are shown in the figure below. This plot corresponds to Figure 3 of the paper (Goldbeter 1991).
Description: Specifies whether the compartment is a main (top-level) compartment. Used in SBML import/export.
Description: CDC-2 Kinase
Description: Cyclin Protease
Description: creation of cyclin
Description: default degradation of cyclin
Description: cdc2 kinase triggered degration of cyclin
Description: activation of cdc2 kinase
Description: deactivation of cdc2 kinase
Description: activation of cyclin protease
Description: deactivation of cyclin protease