Evaluation of heuristic reductions of a model for the segmentation clock in zebrafish

Time‐delayed interactions between DNA, mRNA, and proteins play an important role in the periodic somite segmentation of vertebrates. A mathematical model of the segmentation clock in zebrafish that illustrates the dynamics between proteins and mRNA has recently been proposed; however, the complexity...

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Veröffentlicht in:	IEEJ transactions on electrical and electronic engineering 2018-02, Vol.13 (2), p.271-279
Hauptverfasser:	Shimono, Yuki, Yamaguchi, Ikuhiro, Ishimatsu, Kana, Akao, Akihiko, Ogawa, Yutaro, Jimbo, Yasuhiko, Kotani, Kiyoshi
Format:	Artikel
Sprache:	eng
Schlagworte:	Delay delay‐differential equations Deoxyribonucleic acid Differential equations Dimerization DNA Eigenvalues Lambert's W function Mathematical models Parameter identification Proteins quasi‐equilibrium Reduction Segmentation segmentation clock Vertebrates Zebrafish
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