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

The cell division cycle: a physiologically plausible dynamic model can exhibit chaotic solutions.

D Lloyd1, A L Lloyd, L F Olsen

  • 1Microbiology Group (PABIO), University of Wales College of Cardiff, UK.

Bio Systems
|January 1, 1992
PubMed
Summary

This study presents a deterministic model for cell division timing, proposing a relaxation oscillator explains cell cycle variations. This contrasts with prior models relying on stochastic processes for cell cycle variability.

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

Sub-Chronic Peroneal Nerve Stimulation Lowers Ambulatory Blood Pressure in Spontaneously Hypertensive Rats.

IEEE open journal of engineering in medicine and biology·2024
Same author

How population control of pests is modulated by density dependence: The perspective of genetic biocontrol.

bioRxiv : the preprint server for biology·2024
Same author

Recombinant inbred lines derived from wide crosses in Pisum.

Scientific reports·2023
Same author

A dynamically coherent pattern of rhythms that matches between distant species across the evolutionary scale.

Scientific reports·2023
Same author

Waterlow score for risk assessment in surgical patients: a systematic review.

Annals of the Royal College of Surgeons of England·2021
Same author

Chondromalacia of the cranial medial femoral condyle; its occurrence and association with clinical outcome in a population of adult horses with stifle lameness.

Equine veterinary journal·2019

Area of Science:

  • Cell biology
  • Mathematical modeling
  • Systems biology

Background:

  • Cell cycle timing is crucial for cell proliferation.
  • Previous models often attribute cell cycle variability to stochastic events.
  • Understanding the deterministic basis of cell cycle regulation is essential.

Purpose of the Study:

  • To propose a novel deterministic model for cell cycle timing.
  • To explain the dispersion and quantization of cell cycle times.
  • To investigate the role of a mitotic oscillator and ultradian clock in cell division.

Main Methods:

  • Developed a mathematical model of a relaxation oscillator with slow (tau L) and rapid (tau R) variables.
  • Incorporated an ultradian clock to modulate the oscillator.

Related Experiment Videos

  • Analyzed the system's behavior with varying velocity constants to explore different solution types (periodic, quasi-periodic, chaotic).

    • Main Results:

    • The model demonstrates an auto-oscillating solution where cell division is triggered by a critical threshold.
    • Increasing the velocity constant of the slow variable leads to complex dynamics, including chaotic trajectories.
    • Dispersed and quantized cell cycle times arise as a consequence of this deterministic chaotic behavior.

    Conclusions:

    • Cell cycle time variability can be explained by deterministic chaos within a relaxation oscillator model.
    • This model provides an alternative to stochastic explanations for cell cycle dispersion.
    • The interplay between slow and rapid variables, modulated by an ultradian clock, governs cell division timing.