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Optimal enzyme profiles in unbranched metabolic pathways
Elad Noor1, Wolfram Liebermeister2
1Department of Plant and Environmental Sciences, Weizmann Institute of Science, 76100 Rehovot, Israel.
Optimizing enzyme allocation in metabolic pathways is achievable using convex optimization. This study derives analytic solutions for unbranched pathways, offering new insights into protein allocation during bacterial growth.
Area of Science:
- Biochemistry
- Systems Biology
- Metabolic Engineering
Background:
- Enzyme allocation in metabolic pathways is a long-standing challenge.
- Previous work demonstrated solvability via convex optimization.
- General metabolic pathway optimization is complex and nonlinear.
Purpose of the Study:
- Derive analytic solutions for enzyme allocation in unbranched metabolic pathways.
- Explore enzyme allocation under simplified enzymatic rate laws.
- Generalize relationships between enzyme amounts and metabolic control.
Main Methods:
- Convex optimization applied to metabolic pathways.
- Derivation of analytic solutions for simplified rate laws.
- Generalization of flux control coefficient and enzyme abundance relationships.
Main Results:
- Analytic solutions for enzyme allocation in unbranched pathways.
- New solutions for various enzymatic rate laws beyond mass-action.
- Generalized relationships for enzyme and metabolite density constraints.
- New local relationship between optimal reaction elasticities and enzyme amounts.
Conclusions:
- Provides a theoretical framework for enzyme allocation optimization.
- Offers practical, kinetics-based formulae for protein allocation in bacterial growth.
- Advances understanding of metabolic pathway regulation and efficiency.
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