A lattice model on somitogenesis of zebrafish

淡江大學機構典藏 > 理學院 > 數學學系暨研究所 > 期刊論文 > Item 987654321/111822

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题名:	A lattice model on somitogenesis of zebrafish
作者:	Kang-Ling Liao;Chih-Wen Shih
关键词:	Somitogenesis;lattice model;oscillation-arrested;synchronous oscillation;traveling wave
日期:	2012-11
上传时间:	2017-10-25 02:10:48 (UTC+8)
摘要:	Somitogenesis is the process of the development of somites which are segmental structure in vertebrate embryos. This process depends on the expression of segmentation clock genes. In this investigation, we consider lattice systems which describe the kinetics of the chief segmentation clock genes in zebrafish under negative feedback regulation with delay through interaction with the Delta-Notch signaling among neighboring cells. We first derive the analytical theories for the oscillation-arrested and synchronous oscillation in an autonomous lattice model. Based on the parameter regimes in the theories, we design suitable gradients of degradation rates and delays in a non-autonomous lattice model. Such a lattice system can generate synchronous oscillations, oscillatory traveling waves, oscillation slowing down, oscillation-arrested, and high-low expression levels. We further distinguish between different gradient structures which lead to normal and abnormal segmentations respectively and connect these structures to the dynamical regimes in the cell-cell model.
關聯:	Discrete and Continuous Dynamical Systems - Series B 17, p.2789-2814.
DOI:	10.3934/dcdsb.2012.17.2789
显示于类别:	[數學學系暨研究所] 期刊論文

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