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

Metabolic Control Analysis: Separable Matrices and Interdependence of Control Coefficients

Elsner1, Giersch

  • 1Fakultät für Mathematik, Universität Bielefeld, Universitätsstraße, D-33501 Bielefeld, Germany

Journal of Theoretical Biology
|September 29, 1998
PubMed
Summary

The Jacobian inverse (H-1) of metabolic pathways is semi-separable, simplifying control coefficient calculations. This property, related to vanishing two-minors, aids in assessing metabolic control dependencies.

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

Detection of Arsenic Acid.

Western journal of medicine and surgery·2024
Same author

Discovery of Spatial and Spectral Structure in the X-Ray Emission from the Crab Nebula.

The Astrophysical journal·2000
Same author

Reply

Clinical infectious diseases : an official publication of the Infectious Diseases Society of America·1999
Same author

Sound emission and the acoustic far field of a singing acridid grasshopper (Omocestus viridulus L.)

The Journal of experimental biology·1999
Same author

Co-response Coefficients, Monovalent Units, and Combinatorial Rules: Unification of Concepts in Metabolic Control Analysis

Journal of theoretical biology·1997
Same author

Cholinergic activation of stridulatory behaviour in the grasshopper Omocestus viridulus (L.)

The Journal of experimental biology·1997

Area of Science:

  • Biochemistry
  • Systems Biology
  • Mathematical Biology

Background:

  • Control coefficients quantify metabolic pathway regulation.
  • The Jacobian matrix (H) and its inverse (H-1) are crucial for analyzing control coefficient interdependence.
  • For simple metabolic chains, H is tridiagonal, and H-1 exhibits semi-separability.

Purpose of the Study:

  • To explore the mathematical properties of control coefficient matrices in metabolic pathways.
  • To leverage the semi-separable nature of the Jacobian inverse for understanding metabolic control.
  • To develop methods for assessing dependencies within metabolic control coefficients.

Main Methods:

  • Analysis of matrix properties, specifically semi-separability and separability.
  • Investigation of the Jacobian inverse (H-1) of metabolic pathways.

Related Experiment Videos

  • Examination of flux control coefficient (CJ) and concentration control coefficient (Cs) matrices.
  • Graphical construction of regions of vanishing two-minors.

    • Main Results:

    • The inverse Jacobian (H-1) of a metabolic pathway is semi-separable.
    • Flux control coefficient matrix (CJ) is separable; concentration control coefficient matrix (Cs) is semi-separable.
    • Feedback loops can disrupt the semi-separability of Cs by creating new regions of vanishing two-minors.
    • A graphical method is provided to identify these regions.

    Conclusions:

    • The (semi-)separability property of control coefficient matrices provides a framework for assessing metabolic pathway control dependencies.
    • Understanding matrix properties simplifies the analysis of complex metabolic regulation.
    • This mathematical approach offers insights into the structure of metabolic control.