Traveling wave formation in vertebrate segmentation
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Publication:1617595
DOI10.1016/j.jtbi.2009.01.003zbMath1400.92067OpenAlexW2040556382WikidataQ51853752 ScholiaQ51853752MaRDI QIDQ1617595
Koichiro Uriu, Yoh Iwasa, Yoshihiro Morishita
Publication date: 8 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.2009.01.003
PDEs in connection with biology, chemistry and other natural sciences (35Q92) Biochemistry, molecular biology (92C40) Developmental biology, pattern formation (92C15) Traveling wave solutions (35C07)
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Collective oscillations in coupled-cell systems ⋮ Hopf bifurcation in the presomitic mesoderm during the mouse segmentation ⋮ Synchronized oscillation of the segmentation clock gene in vertebrate development ⋮ Hopf bifurcation analysis for models on genetic negative feedback loops ⋮ The kinetics in mathematical models on segmentation clock genes in zebrafish ⋮ Why did sauropod dinosaurs grow so big? -- a possible answer from the life history theory
Cites Work
- Temperature compensation in circadian clock models
- 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
- A mathematical investigation of a Clock and Wavefront model for somitogenesis
- A mathematical formulation for the cell-cycle model in somitogenesis: analysis, parameter constraints and numerical solutions
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