Phase transition in p53 states induced by glucose

TL;DR

This paper models how glucose levels induce phase transition-like behavior in p53 cellular states, revealing that intrinsic noise stabilizes the system and that p53 dynamics follow a power law with respect to glucose concentration.

Contribution

The study introduces a p53-MDM2-Glucose model demonstrating phase transition-like behavior in cellular states driven by glucose levels, highlighting noise's stabilizing role and power law dynamics.

Findings

Glucose concentration induces different cellular states: oscillation death, sustain, and damped oscillations.

Intrinsic noise enhances system stabilization.

p53 dynamics follow a power law with respect to glucose levels.

Abstract

We present p53-MDM2-Glucose model to study spatio-temporal properties of the system induced by glucose. The variation in glucose concentration level triggers the system at different states, namely, oscillation death (stabilized), sustain and damped oscillations which correspond to various cellular states. The transition of these states induced by glucose is phase transition like behaviour. We also found that the intrinsic noise in stochastic system helps the system to stabilize more effectively. Further, the amplitude of $p53$ dynamics with the variation of glucose concentration level follows power law behaviour, $A_s(k)\sim k^\gamma$, where, $\gamma$ is a constant.