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Updated: Jul 11, 2026

A Microfluidics Approach for the Functional Investigation of Signaling Oscillations Governing Somitogenesis
Published on: March 19, 2021
Modelling periodic oscillations during somitogenesis
1Department of Physical Sciences and Mathematics, Florida Gulf Coast University, 10501 FGCU Blvd. S., Fort Myers, FL 33965, USA. pfeng@fgcu.edu
Abstract:
We consider a model of genetic network that has been previously presented by J. Lewis. This model takes the form of delay differential equations with two delays. We give conditions for the local stability of the non-trivial steady state. We investigate the condition under which stability is lost and oscillations occur. In particular, we show that when the ratio of the time delays passes a threshold, sustained oscillations occur through a Hopf bifurcation. Through numerical simulations, we further investigate the ways in which various parameters influence the period and the amplitude of the oscillations. In conclusion, we discuss the implications of our results.
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