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

An algorithm for targeted convergence of Euler or Newton iterations.

R Thomas1, R d'Ari

  • 1Chimie Physique, université de Bruxelles, CP 231, bd du Triomphe, B-1050 Bruxelles, Belgique. rthomas@dbm.ulb.ac.be

Comptes Rendus De L'Academie Des Sciences. Serie III, Sciences De La Vie
|June 2, 2001
PubMed
Summary

Multistationarity is key to cell differentiation. This study introduces a simple algorithm for theoretical biologists to reliably find specific steady states in complex biological systems, aiding analysis.

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

Precise excision of bacteriophage Mu DNA.

Canadian journal of microbiology·2001
Same author

Cycle-regulated genes and cell cycle regulation.

BioEssays : news and reviews in molecular, cellular and developmental biology·2001
Same author

The GemA protein of phage Mu and the GyrB gyrase subunit of Escherichia coli: the search for targets and interactions leading to the reversion of Mu-induced mutations.

Biochimie·2001
Same author

Selected amplification of the cell division genes ftsQ-ftsA-ftsZ in Escherichia coli.

Genetics·2000
Same author

Proteolysis and chaperones: the destruction/reconstruction dilemma.

Current opinion in microbiology·1999
Same author

Metabolic alarms and cell division in Escherichia coli.

Journal of bacteriology·1998

Area of Science:

  • Systems Biology
  • Theoretical Biology
  • Biochemistry

Background:

  • Multistationarity is crucial for understanding cell differentiation.
  • Determining multiple steady states in nonlinear differential equations is a frequent challenge for theoretical biologists.
  • Current iteration methods' convergence depends on the slope of the iteration function near fixed points.

Purpose of the Study:

  • To present a novel, simple algorithm for converging to a chosen type of steady state.
  • To provide a practical tool for analyzing complex biological systems.

Main Methods:

  • Development of a user-friendly algorithm for targeted steady-state convergence.
  • Extensive use of the algorithm in analyzing complex biological systems.
  • Availability of a compact program implemented in Mathematica.

Related Experiment Videos

Main Results:

  • The proposed algorithm allows convergence to a desired steady state.
  • The method has been successfully applied for years in biological system analysis.
  • The algorithm offers a reliable approach for determining multistationarity.

Conclusions:

  • The developed algorithm provides a powerful and accessible method for theoretical biologists.
  • This approach simplifies the analysis of multistationarity in complex biological systems.
  • The Mathematica program facilitates the application of this novel convergence technique.