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In this work we address the question of how oscillations are arrested in themouse somitogenesis clock when the determination front reaches presomiticcells. Based upon available experimental evidence we hypothesize that themechanism underlying such a phenomenon involves the interaction between a limitcycle (originated by a delayed negative feedback loop) and a bistable switch(originated by a positive feedback loop). With this hypothesis in mind weconstruct the simplest possible model comprising both negative and positivefeedback loops and show that (with a suitable choice of paremeters): 1) it canshow an oscillatory behavior, 2) oscillations are arrested via aninfinite-period bifurcation whenever the different gene-expressionregulator-inputs act together in an additive rather than in a multiplicativefashion, and 3) this mechanism for oscillation arrest is compatible whitplentiful experimental observations.

Oscillation arrest in the mouse somitogenesis clock presumably takes place via an infinite period bifurcation