Modeling oscillatory microtubule polymerization.

  title={Modeling oscillatory microtubule polymerization.},
  author={Martin Hammele and Walter E. Zimmermann},
  journal={Physical review. E, Statistical, nonlinear, and soft matter physics},
  volume={67 2 Pt 1},
Polymerization of microtubules is ubiquitous in biological cells and under certain conditions it becomes oscillatory in time. Here, simple reaction models are analyzed that capture such oscillations as well as the length distribution of microtubules. We assume reaction conditions that are stationary over many oscillation periods, and it is a Hopf bifurcation that leads to a persistent oscillatory microtubule polymerization in these models. Analytical expressions are derived for the threshold of… CONTINUE READING


Publications referenced by this paper.

Nonlinear Dynamics and Chaos ( Addison - Wesely , New York , 1994 ) ; [ 29 ] I . Aranson and

  • L. Kramer
  • Rev . Mod . Phys .
  • 1992

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