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Updated: Jul 18, 2026
11:23
Measuring Cell Cycle Progression Kinetics with Metabolic Labeling and Flow Cytometry
Published on: May 22, 2012
Mathematical modeling as a tool for investigating cell cycle control networks.
1Department of Biological Sciences, Virginia Polytechnic Institute and State University, Blacksburg, VA 24061-0406, USA. siblej@vt.edu
Methods (San Diego, Calif.)
|December 27, 2006
Summary
Mathematical modeling offers a powerful way to study complex cell cycles. This approach uses differential equations and experimental testing to understand molecular networks.
Area of Science:
- Systems Biology
- Computational Biology
- Biophysics
Background:
- Cell signaling networks, particularly the eukaryotic cell division cycle, are complex and challenging to study using traditional experimental methods.
- Understanding these networks requires a systems-level perspective to grasp the intricate regulatory mechanisms.
Purpose of the Study:
- To present mathematical modeling as a viable and powerful method for investigating complex biological regulatory networks.
- To guide non-experts in initiating mathematical modeling projects for systems-level analysis.
- To highlight the utility of nonlinear ordinary differential equations in modeling biochemical reaction rates.
Main Methods:
- Describing a mathematical modeling approach using nonlinear ordinary differential equations to represent biochemical reaction rates.
- Discussing parameter estimation challenges and the necessity of experimental validation for mathematical models.
- Illustrating the modeling approach with the well-characterized example of mitotic cell cycles in frog egg extracts.
Main Results:
- Mathematical modeling, specifically using nonlinear ordinary differential equations, can effectively represent and analyze complex biological systems like the cell cycle.
- Parameter assignment and experimental validation are critical steps for building robust and reliable mathematical models.
- Publicly available modeling environments and integrated programs can facilitate new modeling efforts.
Conclusions:
- Mathematical modeling should be recognized as a standard method for studying molecular regulatory networks.
- This approach provides a systems-level perspective crucial for understanding complex control systems.
- The review aims to empower researchers, including non-experts, to utilize mathematical modeling for biological insights.
Related Concept Videos
01:28The Cell Cycle Control System
The cell cycle regulation directs how a cell proceeds from one phase to the next and begins mitosis. The cell cycle control system includes intracellular regulatory molecules and external triggers. They provide "stop" or "advance" signals and operate at specific cell cycle stages termed checkpoints to ensure that a particular process is completed before the cell advances to the next phase.
Cyclins and cyclin-dependent kinases (Cdks) are the primary cell cycle regulators and function at the cell...
Cyclins and cyclin-dependent kinases (Cdks) are the primary cell cycle regulators and function at the cell...
02:11The Cell Cycle Control System
The cell cycle is an organized set of events that leads the cell to divide into two daughter cells, each containing chromosomes identical to the parent cell. It is the cell cycle that leads to the formation of an entire organism from a single-cell zygote. Besides, cell division also functions in the renewal or repair of tissues in adult multicellular eukaryotes. For example, in the bone marrow, the stem cells divide to form new blood cells. Although essential for several functions, cell...
02:11The Cell Cycle Control System
The cell cycle is an organized set of events that leads the cell to divide into two daughter cells, each containing chromosomes identical to the parent cell. It is the cell cycle that leads to the formation of an entire organism from a single-cell zygote. Besides, cell division also functions in the renewal or repair of tissues in adult multicellular eukaryotes. For example, in the bone marrow, the stem cells divide to form new blood cells. Although essential for several functions, cell...
01:27Molecular Factors Affecting Cell Division
Several external and internal factors influence the initiation and inhibition of cell division. For instance, the death of nearby cells or the release of human growth hormone (hGH) promotes cell division. In contrast, lack of hGH or crowding of cells can inhibit cell division.
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02:36Cells Coordinate Growth and Proliferation
Cell size is a significant factor impacting cellular design, function, and fitness. There exists some internal coordination by which cells double their masses before division, thus, achieving homeostasis. Coordination between cell growth and proliferation depends on the checkpoints in between cell cycle phases. Loss of coordination or failure in the checkpoint mechanism can drive the cell to uncontrolled growth and loss of cellular function. Like dividing cells that coordinate cellular growth,...
02:39Positive Regulator Molecules
Mitotic cell division results in daughter cells that exactly resemble the parent cell. However, errors in the DNA replication or distribution of genetic material may lead to genetic mutations that may be passed down to every new cell formed from the resulting abnormal cell. Propagation of such mutant cells is restricted through checkpoint mechanisms present at different stages of the cell cycle. These checkpoints involve regulator molecules that either promote or demote cell cycle events.