State selection in coupled identical biochemical systems with coexisting stable states

Area of Science:

• Biochemistry
• Systems Biology
• Nonlinear Dynamics

Background:

• Biochemical systems can possess multiple coexisting stable states, influencing their dynamic behavior.
• Understanding state selection is crucial for comprehending the evolution and function of complex biological networks.

Purpose of the Study:

• To investigate state selection mechanisms in coupled biochemical systems with coexisting stable states.
• To identify key factors governing state selection under different coupling conditions and system configurations.

Main Methods:

• Analysis of coupled biochemical systems with either one steady and one oscillatory state, or two oscillatory states.
• Examination of the roles of kinetic parameters, coupling strength, and phase shifts in state selection.

Main Results:

• State selection is governed by kinetic parameters and coupling strength; weak coupling preserves original states, strong coupling leads to entrainment.
• Recycling enzyme activity critically influences state selection by altering basin of attraction sizes.
• Phase shifts can affect state selection when systems are in the same oscillatory state, potentially leading to selection of the steady state.

Conclusions:

• Kinetic parameters and coupling strength are primary determinants of state selection in coupled biochemical systems.
• The activity of specific enzymes, like recycling enzymes, plays a pivotal role in directing system dynamics.
• Results provide insights into how coupled biochemical systems evolve and maintain stability.