# Global Constraint Principle for Microbial Growth Law

Source: [Global Constraint Principle for Microbial Growth Law](<https://www.sota2.com/research/paper/68fa5f891e209131ce9eac09>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T05:45:11.378Z

Authors: Jumpei F. Yamagishi, Tetsuhiro S. Hatakeyama

Published: 2024-09-19T05:58:58.000Z

## Abstract

Monod's law is a widely accepted phenomenology for bacterial growth. Since it has the same functional form as the Michaelis--Menten equation for enzyme kinetics, cell growth is often considered to be locally constrained by a single reaction. In contrast, this paper shows that a global constraint principle of resource allocation to metabolic processes can well describe the nature of cell growth. This concept is a generalization of Liebig's law, a growth law for higher organisms, and explains the dependence of microbial growth on the availability of multiple nutrients, in contrast to Monod's law.

## Recorded benchmark results

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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/2409.12482>)

[PDF](<https://arxiv.org/pdf/2409.12482.pdf>)