Bifurcation in cell cycle dynamics regulated by p53
Md. Jahoor Alam, Sanjay Kumar, Vikram Singh, R.K. Brojen Singh

TL;DR
This paper models how p53 regulates cell cycle dynamics under irradiation, revealing bifurcation behaviors and predicting conditions for cell cycle arrest or recovery based on p53 oscillation collapse timing.
Contribution
It introduces a novel model linking p53 dynamics with cell cycle regulation under IR, highlighting bifurcation phenomena and critical thresholds for cell fate decisions.
Findings
IR induces distinct p53 dynamic phases, including oscillation and stabilization.
Collapse time of p53 oscillations influences cell cycle outcomes.
A critical collapse time predicts cell cycle arrest or recovery.
Abstract
We study the regulating mechanism of p53 on the properties of cell cycle dynamics in the light of the proposed model of interacting p53 and cell cycle networks via p53. Irradiation (IR) introduce to p53 compel p53 dynamics to suffer different phases, namely oscillating and oscillation death (stabilized) phases. The IR induced p53 dynamics undergo collapse of oscillation with collapse time \Delta t which depends on IR strength. The stress p53 via IR drive cell cycle molecular species MPF and cyclin dynamics to different states, namely, oscillation death, oscillations of periods, chaotic and sustain oscillation in their bifurcation diagram. We predict that there could be a critical \Delta t_c induced by p53 via IR_c, where, if \Delta t < \Delta t_c the cell cycle may come back to normal state, otherwise it will go to cell cycle arrest (apoptosis).
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