“…In the vertebrate segmentation clock several cycling genes are involved in an oscillatory mechanism driving somite segmentation [6]. Mathematical models have been established for the regulation of these proteins [1,2,3,5,7,8,9,10,11,12] where the authors of [7,8,9,10] have introduced a discrete time delay to describe the time lag between transcription factor binding and gene transcription. Analytical and numerical results have shown that these models, which display damped oscillations for small positive delay times, can pass a Hopf bifurcation at a critical delay time where the stable steady state becomes unstable and a stable limit cycle oscillator emerges [7,8,9,10].…”