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A Hill type equation can predict target gene expression driven by p53 pulsing.

Xiaomin Shi1

  • 1Department of Mathematics and International Center for Quantum and Molecular Structures, Shanghai University, China.

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p53 pulsing dynamics influence target gene expression. This study reveals optimal pulse frequency and duration enhance gene expression fold change, surpassing sustained p53 levels.

Keywords:
fold changehill equationmRNA dynamical modelp53 pulsetarget gene expression patterns

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Area of Science:

  • Molecular Biology
  • Systems Biology
  • Biophysics

Background:

  • Target gene expression is modulated by transcription factor dynamics.
  • p53 pulsing is a key regulatory mechanism in cellular responses.
  • Understanding factors influencing p53 target gene expression is crucial.

Purpose of the Study:

  • To elucidate the mechanism of target gene expression dynamics under p53 pulsing.
  • To investigate the impact of p53 pulse duration, frequency, binding affinity, and transcription rate.
  • To develop a predictive model for target gene expression.

Main Methods:

  • Analytical solution of a simple mathematical model for p53 dynamics.
  • Investigation of varying pulse parameters (duration, frequency, affinity, rate).
  • Development and validation of a Hill-type equation for gene expression.

Main Results:

  • Target gene expression fold change increases with the number of p53 pulses.
  • An optimal frequency of 0.18 h⁻¹ for two p53 pulses maximizes fold change.
  • p53 pulsing can achieve higher gene expression than sustained p53 levels.
  • A derived Hill-type equation accurately characterizes target gene expression with 23% average error.

Conclusions:

  • p53 pulse duration and frequency are critical for fine-tuning target gene expression.
  • The developed equation provides a framework for understanding transcription factor dynamics.
  • Higher binding affinity contributes to enhanced target gene expression regulation.