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Updated: Jul 3, 2025

High-Throughput Metabolic Profiling for Model Refinements of Microalgae
Published on: December 4, 2021
Optimal enzyme profiles in unbranched metabolic pathways
Elad Noor1, Wolfram Liebermeister2
1Department of Plant and Environmental Sciences, Weizmann Institute of Science, 76100 Rehovot, Israel.
Abstract:
How to optimize the allocation of enzymes in metabolic pathways has been a topic of study for many decades. Although the general problem is complex and nonlinear, we have previously shown that it can be solved by convex optimization. In this paper, we focus on unbranched metabolic pathways with simplified enzymatic rate laws and derive analytic solutions to the optimization problem. We revisit existing solutions based on the limit of mass-action rate laws and present new solutions for other rate laws. Furthermore, we revisit a known relationship between flux control coefficients and enzyme abundances in optimal metabolic states. We generalize this relationship to models with density constraints on enzymes and metabolites, and present a new local relationship between optimal reaction elasticities and enzyme amounts. Finally, we apply our theory to derive simple kinetics-based formulae for protein allocation during bacterial growth.
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