A conceptual framework for modeling a latching mechanism for cell cycle regulation
Dynamical Systems
2024-12-13 v1
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.
Cite
@article{arxiv.2412.09437,
title = {A conceptual framework for modeling a latching mechanism for cell cycle regulation},
author = {Punit Gandhi and Yangyang Wang},
journal= {arXiv preprint arXiv:2412.09437},
year = {2024}
}