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Deterministic versus stochastic cell polarisation through wave-pinning.

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Summary

This summary is machine-generated.

Cell polarization relies on Rho GTPases. Stochastic simulations reveal that low molecule numbers disrupt wave-pinning, leading to polarization collapse, unlike deterministic models.

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Area of Science:

Cell Biology
Biophysics
Biochemistry

Background:

Cell polarization is crucial for eukaryotic cell functions like motility and differentiation.
Rho GTPases (Cdc42, Rac, Rho) are key biochemical regulators, forming localized active concentrations.
These GTPases undergo feedback-driven interconversion between active (membrane) and inactive (cytosol) states.

Purpose of the Study:

Investigate the impact of low molecule numbers and stochasticity on Rho GTPase-mediated cell polarization dynamics.
Analyze the equilibrium behavior of a stochastic model of Rho GTPase dynamics.
Determine the threshold molecule count for robust polarization in a defined cellular volume.

Main Methods:

Employed a stochastic kinetics framework using the Gillespie algorithm.
Utilized statistical and analytical techniques for equilibrium analysis.
Performed local perturbation analysis and compared deterministic with stochastic spatial simulations.

Main Results:

Deterministic models predict sustained polarization via wave-pinning.
Stochastic simulations at low molecule numbers show loss of wave-pinning due to increased transition zones and pinning fluctuations.
Low molecule numbers lead to unsustainable broadness, causing wave collapse, while equilibrium levels remain less affected.

Conclusions:

Stochasticity significantly impacts cell polarization dynamics at low molecular concentrations.
A minimum threshold of molecules is necessary for robust polarization, challenging deterministic model predictions.
Understanding these stochastic effects is vital for accurately modeling cellular functions involving Rho GTPases.