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Area of Science:

  • Systems Biology
  • Biophysics
  • Stochastic Processes

Background:

  • Bistable toggle switches are fundamental biological models.
  • Previous studies focused on Gaussian noise, which doesn't capture biological burst phenomena.
  • Real biological systems often exhibit non-Gaussian noise characteristics.

Purpose of the Study:

  • To investigate the impact of non-Gaussian Lévy noise on bistable toggle switch dynamics.
  • To analyze how Lévy noise affects coherent and on/off switching behaviors.
  • To compare the system's response to Lévy noise versus Gaussian noise.

Main Methods:

  • Analysis of steady-state probability density.
  • Examination of joint steady-state probability density.
  • Calculation of mean first passage times.
  • Modeling with non-Gaussian Lévy noise to account for large protein bursts.

Main Results:

  • Lévy noise can induce coherent switches at lower intensities compared to Gaussian noise.
  • The stability index and skewness parameter of Lévy noise significantly influence on/off switching and stable state preference.
  • Mean first passage times exhibit complex behaviors under Lévy noise conditions.
  • Lévy noise fundamentally alters the escape mechanism from stable states.

Conclusions:

  • Non-Gaussian Lévy noise provides a more realistic model for biological toggle switches, especially concerning burst events.
  • The characteristics of Lévy noise offer new ways to control and understand switching dynamics in biological systems.
  • This work highlights the importance of considering non-Gaussian noise in biological modeling.