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Stochastic simulations of genetic switch systems.

Adiel Loinger¹, Azi Lipshtat, Nathalie Q Balaban

¹Racah Institute of Physics, The Hebrew University, Jerusalem 91904, Israel.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics

|March 16, 2007

Summary

Genetic switches with mutual repression can be bistable, showing two stable states. This study reveals bistability can occur even without cooperative binding, depending on network structure and stochastic effects.

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Area of Science:

Systems biology
Molecular genetics
Biophysics

Background:

Genetic switch systems with mutual repression are crucial for cellular decision-making.
These systems often exhibit bistability, allowing for stable gene expression states.
Cooperative binding has been considered essential for achieving bistability.

Purpose of the Study:

To investigate bistability in genetic switch systems with mutual repression.
To explore the role of network structure and stochastic effects on bistability.
To determine conditions for bistability in the absence of cooperative binding.

Main Methods:

Deterministic methods: rate equations.
Stochastic methods: master equation and Monte Carlo simulations.
Analysis of genetic switch variants with varying binding and degradation mechanisms.

Main Results:

Identified parameter ranges for bistability in genetic switches.
Demonstrated that bistability can emerge without cooperative binding through network structure and stochasticity.
Evaluated the average time between spontaneous transitions as a function of biological parameters.

Conclusions:

Bistability in genetic switches is achievable through a combination of network topology and inherent stochasticity.
Cooperative binding is not a mandatory requirement for genetic switch bistability.
Stochastic effects play a significant role in the dynamics and stability of genetic switches.