Hopf bifurcation in the presomitic mesoderm during the mouse segmentation

DOI10.1016/j.jtbi.2009.02.007zbMath1402.92053OpenAlexW1983711700WikidataQ51804655 ScholiaQ51804655MaRDI QIDQ1624298

Ryoichiro Kageyama, Aitor González

Publication date: 16 November 2018

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

Full work available at URL: https://doi.org/10.1016/j.jtbi.2009.02.007

zbMATH Keywords

dynamical modelingbHLH gene oscillationsFgf signalingmouse segmentationnotch signaling

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Developmental biology, pattern formation (92C15) Genetics and epigenetics (92D10)

Uses Software

• DDE-BIFTOOL
• XPPAUT
• Ginsim

Cites Work

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• Modelling periodic oscillations during somitogenesis
• Dynamical behaviour of biological regulatory networks. II: Immunity control in bacteriophage lambda
• Traveling wave formation in vertebrate segmentation
• Modeling the segmentation clock as a network of coupled oscillations in the notch, Wnt and FGF signaling pathways
• The segmentation clock in mice: interaction between the Wnt and Notch signalling pathways
• Cell-based simulation of dynamic expression patterns in the presomitic mesoderm
• Hopf bifurcation in a DDE model of gene expression
• Simulating, Analyzing, and Animating Dynamical Systems
• Numerical bifurcation analysis of delay differential equations using DDE-BIFTOOL

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