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

Mixed-mode oscillations in a self-replicating dimerization mechanism.

E Peacock-López1, D B Radov, C S Flesner

  • 1Department of Chemistry, Williams College, Williamstown, MA 01267, USA.

Biophysical Chemistry
|April 22, 1997
PubMed
Summary

Researchers explored a three-variable model of self-replicating molecules, inspired by Rebek's work. The study revealed complex dynamics, including chaotic oscillations and the coexistence of multiple attractors, advancing our understanding of molecular self-replication.

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

Dynamic model of hormonal systems coupled by negative feedback.

Biophysical chemistry·2006
Same author

Steady state approximation in the minimal model of the alternative pathway of complement.

Biophysical chemistry·1997
Same author

Chaos in a minimal model of the alternative pathway of the complement system.

Biophysical chemistry·1997
Same author

Effect of linear reinsertion of receptor on the distribution of receptors around coated pits.

Biophysical chemistry·1993
Same author

A theoretical model of LDL-receptor trapping on a spherical cell.

Biophysical chemistry·1992
Same author

The effect of diffusion on the trapping of membrane-bound receptors by localized coated pits.

Biophysical chemistry·1986

Area of Science:

  • Chemistry
  • Chemical Kinetics
  • Systems Chemistry

Background:

  • Self-replicating molecules are fundamental to life.
  • Laboratory synthesis of self-replicating molecules has been achieved.
  • Understanding the dynamics of self-replication is crucial for origin-of-life studies.

Purpose of the Study:

  • To investigate the dynamic behavior of a simplified three-variable model for self-replicating molecules.
  • To explore the potential for complex oscillations and attractor coexistence in such systems.
  • To contribute to the theoretical understanding of molecular self-replication.

Main Methods:

  • Development of a three-variable mathematical model for a self-replicating dimer.
  • Numerical analysis to identify system dynamics.

Related Experiment Videos

  • Investigation of oscillatory behaviors and attractor states.

    • Main Results:

    • The model exhibits mixed-mode oscillations, indicating complex dynamic behavior.
    • Chaotic oscillations were observed within the model's parameter space.
    • Coexistence of multiple attractors, including two periodic and one chaotic attractor, was identified.

    Conclusions:

    • The three-variable model demonstrates rich and complex dynamics relevant to self-replication.
    • The findings suggest that simple molecular systems can exhibit sophisticated behaviors like chaos and multiple stable states.
    • This work provides theoretical insights into the potential complexity achievable by self-replicating chemical systems.