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Oscillatory Dynamics of P53 Network With Time Delays
Conghua Wang1, Fang Yan1, Yuan Zhang2
1College of Mathematics, Yunnan Normal University, Kunming 650500, China.
Combinatorial Chemistry & High Throughput Screening
|June 2, 2018
Summary
Time delays in gene expression, specifically in p53 networks, can induce oscillations that regulate cell fate. Delay length controls oscillation amplitude and period, crucial for genetic network dynamics.
Area of Science:
- Systems Biology
- Molecular Biology
- Biophysics
Background:
- p53 protein dynamics are critical for cell fate decisions.
- Gene expression involves time delays impacting genetic network behavior.
- The role of delays in p53 network oscillations remains incompletely understood.
Purpose of the Study:
- To develop an integrated model of the p53 network incorporating time delays.
- To investigate how time delays influence oscillatory dynamics and Hopf bifurcations.
- To analyze the impact of delays on p53 network component expression levels.
Main Methods:
- Development of a five-component model with two time delays.
- Analysis of characteristic equations to determine Hopf bifurcation.
- Numerical simulations to illustrate model behavior and parameter effects.
Main Results:
- Transcriptional and translational delays induce oscillations via supercritical Hopf bifurcation.
- Time delay duration directly controls oscillation amplitude and period.
- Specific ranges of model parameters are necessary for sustained oscillations.
Conclusions:
- Time delays are key drivers of oscillatory behavior in the p53 network.
- Delay duration offers a mechanism to tune p53 network dynamics.
- Understanding these delay-induced oscillations is vital for cell fate regulation.
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