Gardner1998 - Cell Cycle Goldbeter
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Mathematical modeling of cell division cycle (CDC) dynamics.
The SBML file has been generated by MathSBML 2.6.0.p960929 (Prerelease Version of 29-Sept-2006) 1-October-2006 15:36:36.076517.
This model is described in the article:
Abstract:
We demonstrate, by using mathematical modeling of cell division cycle (CDC) dynamics, a potential mechanism for precisely controlling the frequency of cell division and regulating the size of a dividing cell. Control of the cell cycle is achieved by artificially expressing a protein that reversibly binds and inactivates any one of the CDC proteins. In the simplest case, such as the checkpoint-free situation encountered in early amphibian embryos, the frequency of CDC oscillations can be increased or decreased by regulating the rate of synthesis, the binding rate, or the equilibrium constant of the binding protein. In a more complex model of cell division, where size-control checkpoints are included, we show that the same reversible binding reaction can alter the mean cell mass in a continuously dividing cell. Because this control scheme is general and requires only the expression of a single protein, it provides a practical means for tuning the characteristics of the cell cycle in vivo.
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A theory for controlling cell cycle dynamics using a reversibly binding inhibitor.
- Gardner TS, Dolnik M, Collins JJ
- Proceedings of the National Academy of Sciences of the United States of America , 11/ 1998 , Volume 95 , pages: 14190-14195 , PubMed ID: 9826676
- Center for BioDynamics and Department of Biomedical Engineering, Boston University, 44 Cummington Street, Boston, MA 02215, USA.
- We demonstrate, by using mathematical modeling of cell division cycle (CDC) dynamics, a potential mechanism for precisely controlling the frequency of cell division and regulating the size of a dividing cell. Control of the cell cycle is achieved by artificially expressing a protein that reversibly binds and inactivates any one of the CDC proteins. In the simplest case, such as the checkpoint-free situation encountered in early amphibian embryos, the frequency of CDC oscillations can be increased or decreased by regulating the rate of synthesis, the binding rate, or the equilibrium constant of the binding protein. In a more complex model of cell division, where size-control checkpoints are included, we show that the same reversible binding reaction can alter the mean cell mass in a continuously dividing cell. Because this control scheme is general and requires only the expression of a single protein, it provides a practical means for tuning the characteristics of the cell cycle in vivo.
Submitter of this revision: Nicolas Le Novère
Modellers: Nicolas Le Novère
Metadata information
Connected external resources
SBGN view in Newt Editor
| Name | Description | Size | Actions |
|---|---|---|---|
Model files |
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| BIOMD0000000008_url.xml | SBML L2V4 representation of Gardner1998 - Cell Cycle Goldbeter | 27.94 KB | Preview | Download |
Additional files |
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| BIOMD0000000008-biopax2.owl | Auto-generated BioPAX (Level 2) | 18.03 KB | Preview | Download |
| BIOMD0000000008-biopax3.owl | Auto-generated BioPAX (Level 3) | 26.83 KB | Preview | Download |
| BIOMD0000000008.m | Auto-generated Octave file | 5.92 KB | Preview | Download |
| BIOMD0000000008.pdf | Auto-generated PDF file | 177.38 KB | Preview | Download |
| BIOMD0000000008.png | Auto-generated Reaction graph (PNG) | 44.69 KB | Preview | Download |
| BIOMD0000000008.sci | Auto-generated Scilab file | 3.39 KB | Preview | Download |
| BIOMD0000000008.svg | Auto-generated Reaction graph (SVG) | 30.99 KB | Preview | Download |
| BIOMD0000000008.vcml | Auto-generated VCML file | 35.54 KB | Preview | Download |
| BIOMD0000000008.xpp | Auto-generated XPP file | 4.04 KB | Preview | Download |
| BIOMD0000000008_manual.png | Manually generated Reaction graph (PNG) | 44.69 KB | Preview | Download |
| BIOMD0000000008_manual.svg | Manually generated Reaction graph (SVG) | 30.99 KB | Preview | Download |
| BIOMD0000000008_urn.xml | Auto-generated SBML file with URNs | 25.42 KB | Preview | Download |
- Model originally submitted by : Nicolas Le Novère
- Submitted: Sep 13, 2005 1:36:20 PM
- Last Modified: Jul 24, 2014 11:59:34 AM
Revisions
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Version: 2
- Submitted on: Jul 24, 2014 11:59:34 AM
- Submitted by: Nicolas Le Novère
- With comment: Current version of Gardner1998 - Cell Cycle Goldbeter
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Version: 1
- Submitted on: Sep 13, 2005 1:36:20 PM
- Submitted by: Nicolas Le Novère
- With comment: Original import of BIOMD0000000008.xml.origin
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: Variable used inside SBML models
| Species | Initial Concentration/Amount |
|---|---|
| X peptidase activity |
0.0 mol |
| Y | 1.0 mol |
| Z IPR006670 |
1.0 mol |
| C IPR006670 |
0.0 mol |
| M Cyclin-dependent kinase 1-A ; Cyclin-dependent kinase 1-B |
0.0 mol |
| Reactions | Rate | Parameters |
|---|---|---|
| X => | V4*X*(K4+X)^-1 | K4=0.1; V4=0.1 |
| Y => | d1*Y | d1=0.05 |
| Z => C | alpha*d1*Z | alpha=0.1; d1=0.05 |
| => C | vi | vi=0.1 |
| => M | (1+-1*M)*V1*(K1+-1*M+1)^-1 | K1=0.1; V1 = NaN |
| C + Y => Z | a1*C*Y | a1=0.05 |
| Z => C + Y | a2*Z | a2=0.05 |
| => Y | vs | vs=0.2 |
| => X | V3*(1+-1*X)*(K3+-1*X+1)^-1 | K3=0.2; V3 = NaN |
| C => | C*kd | kd=0.02 |
(added: 10 Aug 2009, 15:53:31, updated: 10 Aug 2009, 15:53:31)