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Oscillatory Dynamics of p53 Genetic Network Induced by Feedback Loops and Time Delays
Abstract:
DNA damage caused by γ -irradiation initiates oscillatory expression of the p53 genetic network. Although many studies revealed the effects of the p53-Mdm2 circuit on p53 dynamics, a few studies explored the contribution of upstream kinases to p53 oscillation. In this paper, an integrated mathematical model of the p53 network in response to γ -irradiation is studied, which consists of five basic components, two ubiquitous time delays, and two negative feedback loops. It is found that recurrent p53 pulses are externally initiated by ataxia telangiectasia mutated (ATM), and the negative feedback loop formed between ATM and p53, via Wip1, plays a dominant role in generating p53 oscillation. In addition, p53 oscillation requires not only an appropriate Mdm2 negative strength but also a threshold level of Wip1 negative strength. Furthermore, the time delays required for transcription and translation of Mdm2 and Wip1 proteins are essential for p53 oscillation. In particular, the critical value of time delay for inducing oscillation and the properties of delay-driven Hopf bifurcation are theoretically analyzed. As expected, the results are clearly in consistence with biological experiments and observations.
Insights
DNA damage triggers oscillating p53 protein levels. Ataxia telangiectasia mutated (ATM) initiates these pulses, with feedback loops and time delays being crucial for generating the p53 oscillation observed in DNA repair.
Area of Science:
- Cellular biology
- Systems biology
- Biophysics
Background:
- DNA damage response involves the p53 genetic network.
- p53 protein dynamics are influenced by the p53-Mdm2 feedback circuit.
- The role of upstream kinases in p53 oscillation remains less explored.
Purpose of the Study:
- To investigate the contribution of upstream kinases to p53 oscillation following DNA damage.
- To develop and analyze a mathematical model of the p53 network in response to gamma irradiation.
- To elucidate the key components and mechanisms driving p53 oscillatory expression.
Main Methods:
- Development of an integrated mathematical model of the p53 network.
- Inclusion of five basic components, two time delays, and two negative feedback loops.
- Theoretical analysis of delay-driven Hopf bifurcation and critical time delay values.
Main Results:
- Recurrent p53 pulses are initiated by ataxia telangiectasia mutated (ATM).
- The ATM-p53 feedback loop via Wip1 is dominant in generating p53 oscillation.
- p53 oscillation depends on Mdm2 and Wip1 negative feedback strengths and time delays in transcription/translation.
Conclusions:
- ATM acts as an external trigger for p53 oscillations after DNA damage.
- The interplay between ATM, p53, Wip1, and Mdm2, along with critical time delays, governs p53 network dynamics.
- The model's predictions align with experimental observations of p53 oscillation.
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