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Erik Boczko1, Tomás Gedeon, Konstantin Mischaikow

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Summary

This study models genetic toggle switches in fungal stress responses. Both general and restricted models, even with relaxed dissociation assumptions, converge to similar periodic orbits, suggesting robust biological dynamics.

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Area of Science:

  • Systems Biology
  • Molecular Biology
  • Biophysics

Background:

  • Genetic toggle switches are crucial for cellular control, particularly in fungal stress responses.
  • These switches involve interacting gene products mediating signal transduction through inter-compartmental transport.
  • Protein association degree influences transport, a phenomenon supported by biological evidence.

Purpose of the Study:

  • To analyze the dynamics of a model toggle switch based on fungal stress response genetic interactions.
  • To compare the dynamics of a general gate model with a more restrictive model where only one protein is transported.
  • To investigate the impact of dissociation assumptions on model dynamics.

Main Methods:

  • Development of a mathematical model for a genetic toggle switch.
  • Simulation and analysis of two models: a general gate model and a restrictive transport model.
  • Examination of dynamics under varying assumptions of protein association and dissociation.

Main Results:

  • Both the general and restrictive models converge to unique periodic orbits under the assumption of unidirectional dissociation.
  • The restrictive model maintains similar dynamics even when the unidirectional dissociation assumption is weakened.
  • The general model's dynamics may differ from the restrictive model when dissociation is not unidirectional.

Conclusions:

  • The dynamics of toggle switch models are robust, often converging to periodic orbits.
  • Weakening unidirectional dissociation assumptions impacts the general model differently than the restrictive model.
  • These findings highlight potential biological implications and future research directions in cellular control mechanisms.