教師資料查詢 | 類別: 期刊論文 | 教師: 廖康伶 KANG-LING LIAO (瀏覽個人網頁)

標題:The kinetics in mathematical models on segmentation clock genes in zebrafish
學年105
學期2
出版(發表)日期2017/05/25
作品名稱The kinetics in mathematical models on segmentation clock genes in zebrafish
作品名稱(其他語言)
著者Kuan-Wei Chen, Kang-Ling Liao, and Chih-Wen Shih
單位
出版者
著錄名稱、卷期、頁數J Math Biol. 2017 May 25
摘要Somitogenesis is the process for the development of somites in vertebrate embryos. This process is timely regulated by synchronous oscillatory expression of the segmentation clock genes. Mathematical models expressed by delay equations or ODEs have been proposed to depict the kinetics of these genes in interacting cells. Through mathematical analysis, we investigate the parameter regimes for synchronous oscillations and oscillation-arrested in an ODE model and a model with transcriptional and translational delays, both with Michaelis–Menten type degradations. Comparisons between these regimes for the two models are made. The delay model has larger capacity to accommodate synchronous oscillations. Based on the analysis and numerical computations extended from the analysis, we explore how the periods and amplitudes of the oscillations vary with the degradation rates, synthesis rates, and coupling strength. For typical parameter values, the period and amplitude increase as some synthesis rate or the coupling strength increases in the ODE model. Such variational properties of oscillations depend also on the magnitudes of time delays in delay model. We also illustrate the difference between the dynamics in systems modeled with linear degradation and the ones in systems with Michaelis–Menten type reactions for the degradation. The chief concerns are the connections between the dynamics in these models and the mechanism for the segmentation clocks, and the pertinence of mathematical modeling on somitogenesis in zebrafish.
關鍵字Gene regulation; Segmentation clock gene; Synchronous oscillation; Oscillation-arrested; Delay equation
語言英文(美國)
ISSN
期刊性質國外
收錄於SCI;
產學合作
通訊作者Chih-Wen Shih
審稿制度
國別美國
公開徵稿
出版型式,電子版
相關連結
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