Multistationarity questions in reduced versus extended biochemical networks

Area of Science:

• Biochemistry
• Chemical Kinetics
• Systems Biology

Background:

• Understanding multistationarity in chemical reaction networks is crucial for modeling complex biological systems.
• Previous research has explored network modifications and their impact on multistationarity, particularly in mass-action systems.
• Advances in understanding multistationarity have been made by Feliu and Wiuf, Sadeghimanesh and Feliu, and Pérez Millán and Dickenstein.

Purpose of the Study:

• To analyze the effects of adding or removing intermediate complexes on multistationarity in chemical reaction networks.
• To extend existing literature on multistationarity within the framework of mass-action kinetics.
• To establish general results for MESSI (Multistationarity, Elimination, and Structure) systems.

Main Methods:

• Utilizing the framework of chemical reaction networks with mass-action kinetics.
• Analyzing reduced versus extended networks by systematically altering intermediate complexes.
• Developing general results applicable to MESSI systems.

Main Results:

• Clarification and extension of existing literature on multistationarity in chemical reaction networks.
• Establishment of general results for MESSI systems.
• Computation of multistationarity circuits for significant biochemical networks.

Conclusions:

• The modification of intermediate complexes significantly impacts multistationarity in chemical reaction networks.
• The developed general results for MESSI systems provide a powerful tool for analyzing network dynamics.
• This work contributes to a deeper understanding of multistationarity in biochemical systems and its computational prediction.