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arXiv · 2412.09437

A conceptual framework for modeling a latching mechanism for cell cycle regulation

Punit Gandhi·Yangyang Wang
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Abstract

Two identical van der Pol oscillators with mutual inhibition are considered as a conceptual framework for modeling a latching mechanism for cell cycle regulation. In particular, the oscillators are biased to a latched state in which there is a globally attracting steady-state equilibrium without coupling. The inhibitory coupling induces stable alternating large-amplitude oscillations that model the normal cell cycle. A homoclinic bifurcation within the model is found to be responsible for the transition from normal cell cycling to endocycles in which only one of the two oscillators undergoes large-amplitude oscillations.

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Punit Gandhi, Yangyang Wang. 2024-12-12. A conceptual framework for modeling a latching mechanism for cell cycle regulation. https://arxiv.org/abs/2412.09437

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