Metabolic control and its analysis. Extensions to the theory and matrix method

Area of Science:

• Metabolic Engineering
• Biochemical Pathway Analysis
• Systems Biology

Background:

• Enzyme control coefficients are crucial for understanding metabolic pathway regulation.
• Existing matrix algebra methods primarily focus on flux control coefficients.

Purpose of the Study:

• To extend matrix algebra for determining concentration control coefficients.
• To define and calculate branch distribution control coefficients for branched pathways.
• To investigate the relationship between control coefficients in isolated versus integrated metabolic systems.

Main Methods:

• Matrix algebra was adapted to derive equations for concentration control coefficients.
• Special considerations were addressed for moiety-conserved cycles and branched pathways.
• The method was applied to evaluate flux, concentration, and distribution control coefficients.

Main Results:

• The matrix procedure was successfully extended for concentration control coefficients, with modifications for moiety-conserved cycles.
• A novel branch distribution control coefficient was defined and calculable via the matrix procedure.
• Relationships between control coefficients in isolated and extended metabolic systems were established.

Conclusions:

• A unified matrix equation allows comprehensive pathway response analysis.
• Control analysis of isolated pathway sections offers insights into larger metabolic systems.
• The extended matrix method provides a complete framework for metabolic control analysis.