modelcell
Extends from BioChem.Compartments.MainCompartment (Main compartment (constant volume)).
Information
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).
Components
| Type | Name | Default | Description |
|---|---|---|---|
| BioChem.Units.Volume | V (from Compartment) | Compartment volume | |
| Real | cell_V | V | Variable used to make the compartment volume accessible for inner components. Do not edit. |
| CellDivison.cell.EmptySet_ | EmptySet | ||
| CellDivison.cell.C2_ | C2 | cdc2k | |
| CellDivison.cell.CP_ | CP | cdc2k-P | |
| CellDivison.cell.M_ | M | p-cyclin_cdc2 | |
| CellDivison.cell.pM_ | pM | p-cyclin_cdc2-p | |
| CellDivison.cell.Y_ | Y | cyclin | |
| CellDivison.cell.YP_ | YP | p-cyclin | |
| CellDivison.cell.YT_ | YT | total_cyclin | |
| CellDivison.cell.CT_ | CT | total_cdc2 | |
| CellDivison.cell.Reaction1_ | Reaction1 | cyclin_cdc2k dissociation | |
| CellDivison.cell.Reaction2_ | Reaction2 | cdc2k phosphorylation | |
| CellDivison.cell.Reaction3_ | Reaction3 | cdc2k dephosphorylation | |
| CellDivison.cell.Reaction4_ | Reaction4 | cyclin cdc2k-p association | |
| CellDivison.cell.Reaction5_ | Reaction5 | deactivation of cdc2 kinase | |
| CellDivison.cell.Reaction6_ | Reaction6 | cyclin biosynthesis | |
| CellDivison.cell.Reaction7_ | Reaction7 | default degradation of cyclin | |
| CellDivison.cell.Reaction8_ | Reaction8 | cdc2 kinase triggered degration of cyclin | |
| CellDivison.cell.Reaction9_ | Reaction9 | activation of cdc2 kinase |
Contents
| Name | Description |
|---|---|
 EmptySet_ | |
 C2_ | |
 CP_ | |
 M_ | |
 pM_ | |
 Y_ | |
 YP_ | |
 YT_ | |
 CT_ | |
 Reaction1_ | |
 Reaction2_ | |
 Reaction3_ | |
 Reaction4_ | |
 Reaction5_ | |
 Reaction6_ | |
 Reaction7_ | |
 Reaction8_ | |
 Reaction9_ |