Cell Cycle Controls

  • John J. Tyson
  • Béla Novák
Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 20)


In recent years, molecular biologists have uncovered a wealth of information about the proteins controlling cell growth and division in eukaryotes. The regulatory system is so complex that it defies understanding by verbal arguments alone. To probe into the details of cell cycle control requires mathematical modeling of the type practiced in this book. We will start with an oversimplified model of the molecular controls of cell division in eukaryotes, in order to illustrate some of the basic principles involved. Then we will construct a more serious model of the budding yeast cell cycle, suitable for understanding wild-type and mutant cells. Next, a model of fission yeast introduces a new level of molecular controls. We finish up with a model of the “stripped down” cell cycles in early embryos, which leads into a discussion of whether the cell cycle is controlled by a limit cycle oscillator or not.


Hopf Bifurcation Sister Chromatid Cell Cycle Control Stable Limit Cycle Stable Steady State 
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Suggested Reading

  1. Molecular Biology of the Cell, Chapter 17, is the best short introduction to the physiology, genetics, and biochemistry of the cell cycle (Alberts et al. 1994).Google Scholar
  2. The Cell Cycle. An Introduction, by Murray and Hunt, contains more details about the physiology, genetics, and biochemistry of the cell cycle (Murray and Hunt 1993).Google Scholar
  3. At the heart of the budding yeast cycle by Nasmyth argues for the notion that the cell cycle is an alternation between two self-maintaining states (G1 and S-G2-M) (Nasmyth 1996).Google Scholar
  4. Molecular interaction map of the mammalian cell cycle control and DNA repair systems by Kohn. Figure 6 has become an icon of the future challenges to the field of computational cell biology (Kohn 1999).Google Scholar
  5. Chemical kinetic theory: understanding cell-cycle regulation by Tyson et al. is a kinder, gentler introduction to modeling of the cell cycle (Tyson et al. 1996).Google Scholar

Copyright information

© Springer-Verlag New York, Inc. 2002

Authors and Affiliations

  • John J. Tyson
  • Béla Novák

There are no affiliations available

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