Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Modeling oscillatory microtubule polymerization.

Martin Hammele1, Walter Zimmermann

  • 1Theoretical Physics, University of Saarland, D-66041 Saarbrücken, Germany.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|March 15, 2003
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Myosin-Independent Amoeboid Cell Motility.

Physical review letters·2025
Same author

On the bandwidth of stable nonlinear stripe patterns in finite size systems.

Chaos (Woodbury, N.Y.)·2021
Same author

Universal aspects of collective behavior in chemotactic systems.

Physical review. E·2019
Same author

Focusing and splitting streams of soft particles in microflows via viscosity gradients.

The European physical journal. E, Soft matter·2019
Same author

On system-spanning demixing properties of cell polarization.

PloS one·2019
Same author

Systematic extension of the Cahn-Hilliard model for motility-induced phase separation.

The European physical journal. E, Soft matter·2019
Same journal

Tension on dsDNA bound to ssDNA-RecA filaments may play an important role in driving efficient and accurate homology recognition and strand exchange.

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Amplitude-phase coupling drives chimera states in globally coupled laser networks [Phys. Rev. E 91, 040901(R) (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Shapes of sedimenting soft elastic capsules in a viscous fluid [Phys. Rev. E 92, 033003 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Erratum: Attenuation of excitation decay rate due to collective effect [Phys. Rev. E 90, 022142 (2014)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Role of connectivity and fluctuations in the nucleation of calcium waves in cardiac cells [Phys. Rev. E 92, 052715 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
Same journal

Publisher's Note: Lattice Boltzmann approach for complex nonequilibrium flows [Phys. Rev. E 92, 043308 (2015)].

Physical review. E, Statistical, nonlinear, and soft matter physics·2016
See all related articles

Simple models reveal that microtubule polymerization can oscillate due to Hopf bifurcations. Factors like catastrophe rates and delay reactions support these persistent oscillations in biological cells.

Area of Science:

  • Cell Biology
  • Biophysics
  • Theoretical Biology

Background:

  • Microtubule polymerization is essential in cells and can exhibit temporal oscillations.
  • Understanding the mechanisms driving these oscillations and microtubule length distributions is crucial.

Purpose of the Study:

  • To analyze simple reaction models capturing oscillatory microtubule polymerization.
  • To derive analytical expressions for oscillation thresholds and frequencies.
  • To investigate the role of specific reaction rates and delays in supporting oscillations.

Main Methods:

  • Analysis of simple reaction models for microtubule polymerization.
  • Application of Hopf bifurcation theory to identify oscillation onset.
  • Derivation of analytical expressions for bifurcation threshold and oscillation frequency.

Related Experiment Videos

  • Numerical solutions to analyze transient oscillatory behavior.

    • Main Results:

    • Identified Hopf bifurcation as the mechanism for persistent microtubule oscillations.
    • Derived analytical expressions for oscillation threshold and frequency.
    • Demonstrated that catastrophe rates dependent on GTP-tubulin and delay reactions support oscillations.
    • Showed transient oscillations occur below the bifurcation threshold.

    Conclusions:

    • Simple models can accurately capture oscillatory microtubule polymerization.
    • Hopf bifurcation is a key mechanism for sustained oscillations.
    • Specific reaction parameters critically influence oscillatory dynamics.
    • The bifurcation to microtubule oscillations is supercritical.