Modelling periodic oscillations during somitogenesis
type: Item
instance of: scholarly article
title: Modelling periodic oscillations during somitogenesis
zbMATH Open document ID: 1151.34066
author: Peng Feng
author: Menaka Navaratna
published in: Mathematical Biosciences and Engineering
publication date: 2008-07-11T00:00:00Z
review text: Somites are formed in a sequential temporarily ordered process. Thus it is proposed that a periodic expression of the cyclic genes is essential in somite segmentation. In this paper the model of genetic network of J. Lewis is investigated. It consists of delay differential equations with two delays. Local stability of the interior equilibrium is studied. Conditions for oscillations are derived. It is shown that when the ratio of the two delays passes a threshold, Hopf bifurcation occurs. Numerical simulations are used to study the parameter effects on period and amplitude of oscillations.
reviewed by: E. Ahmed
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92B20
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K18
zbMATH DE Number: 5299967
zbMATH Keywords: Somitogenesis
zbMATH Keywords: Delay differential equations
zbMATH Keywords: Pattern formation
Wikidata QID: Q51904356
MaRDI profile type: Publication
full work available at URL: mbe.2007.4.661
OpenAlex ID: W2146667495
DOI: 10.3934/MBE.2007.4.661
description: scientific article; zbMATH DE number 5299967