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1Department of Biological Sciences, Virginia Tech, Blacksburg, VA, USA, tyson@vt.edu.
Bulletin of Mathematical Biology
|September 5, 2014
Summary
Mathematical modeling of the cyclin-dependent kinase (CDK) network accurately predicted cell cycle behaviors. Later experiments confirmed these predictions, highlighting modeling
Area of Science:
- Molecular and Systems Biology
- Computational Biology
- Cell Cycle Regulation
Background:
- Molecular regulatory networks govern cell physiology.
- Cyclin-dependent kinase (CDK) networks control the eukaryotic cell cycle.
- Intuitive reasoning is insufficient for predicting complex network dynamics.
Purpose of the Study:
- To demonstrate the power of mathematical modeling in understanding cell cycle regulation.
- To review the validation of a 1993 CDK network model.
- To illustrate novel insights from dynamical systems approaches in cell biology.
Main Methods:
- Development of a mathematical model for the CDK network based on biochemical and genetic data.
- Analysis of feedback loops and ultrasensitive responses within the regulatory network.
- Comparison of model predictions with experimental observations of cell division.
Main Results:
- The 1993 CDK model made six unexpected predictions regarding cell cycle control.
- Subsequent experiments verified all six predictions, including ultrasensitivity.
- Model simulations accurately reflected observed properties of dividing cells.
Conclusions:
- Mathematical modeling provides reliable predictions for complex biological networks.
- Feedback signals and ultrasensitivity are key to CDK network dynamics.
- A dynamical perspective offers novel insights into molecular cell biology.

