On logical bifurcation diagrams

DOI10.1016/j.jtbi.2019.01.008zbMath1411.92119OpenAlexW2909149068WikidataQ91111896 ScholiaQ91111896MaRDI QIDQ1739287

Wassim Abou-Jaoudé, Pedro T. Monteiro

Publication date: 26 April 2019

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2019.01.008

zbMATH Keywords

bifurcation diagramspiecewise-linear differential equationslogical parameterslogical modelingHasse diagramsp53-Mdm2 network

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Software, source code, etc. for problems pertaining to biology (92-04) Systems biology, networks (92C42)

Related Items (3)

Aeon 2021: bifurcation decision trees in Boolean networks ⋮ Dynamic mechanism of phase variation in bacteria based on multistable gene regulatory networks ⋮ Prologue to the special issue of JTB dedicated to the memory of René Thomas (1928--2017). A journey through biological circuits, logical puzzles and complex dynamics

Uses Software

• JBool
• DSGRN

Cites Work

• On circuit functionality in Boolean networks
• Stable oscillations in mathematical models of biological control systems
• From structure to dynamics: frequency tuning in the p53-Mdm2 network. I: Logical approach
• Decision procedures. An algorithmic point of view. With foreword by Randal E. Bryant
• A class of piecewise linear differential equations arising in biological models
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