CellDivision
This example is a Modelica version of the model presented in Modeling the cell division cycle: cdc2 and cyclin interactions by John J. Tyson. (Proc. Nati. Acad. Sci. USA
Vol. 88, pp. 7328-7332, August 1991
Cell Biology)
Abstract
The proteins cdc2 and cyclin form a heterodimer
(maturation promoting factor) that controls the major
events of the cell cycle. A mathematical model for the interactions
of cdc2 and cyclin is constructed. Simulation and analysis
of the model show that the control system can operate in three
modes: as a steady state with high maturation promoting factor
activity, as a spontaneous oscillator, or as an excitable switch.
We associate the steady state with metaphase arrest in unfertilized
eggs, the spontaneous oscillations with rapid division
cycles in early embryos, and the excitable switch with growthcontrolled
division cycles typical of nonembryonic cells.
Simulations
The simulation results are shown in the
Figure 1. This plot corresponds to Fig 3A from the original publication (Tyson, 1991).
Contents
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