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A proteome optimal allocation model for elucidating effects of temperature on bacterial growth
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  • Published: 31 March 2026

A proteome optimal allocation model for elucidating effects of temperature on bacterial growth

  • Deyu Wang1,2,
  • Qing Zhang1,3,4 &
  • Hualin Shi1,2 

npj Systems Biology and Applications , Article number:  (2026) Cite this article

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We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

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  • Biophysics
  • Cell biology
  • Systems biology

Abstract

Although considerable research has been conducted on how bacteria respond to temperature, there are still few studies that use simple protein allocation models to characterize these responses. To bridge this gap, we utilize a protein allocation framework to delineate quantitative correlations among temperature, growth rate, and the fraction of functional protein sectors. By calibrating the model with experimental temperature-dependent growth curves of Escherichia coli, we predict how proteomic resources are reallocated across various temperatures. This approach enables us to elucidate, from a proteomic perspective, the temperature dependency of constitutive β-galactosidase expression and the variations in E. coli cell size. Our research deepens the understanding of bacterial physiological adaptation to temperature changes.

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Data Availability

The data used in this paper can be found or generated using the provided Python code in the GitHub repository https://github.com/DeyuWang-itp/protein_allocation.

Code availability

The code used in this paper can be found in the same GitHub repository.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grants No. 12274426 and No. 12447101).

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Authors and Affiliations

  1. Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing, China

    Deyu Wang, Qing Zhang & Hualin Shi

  2. School of Physical Sciences, University of Chinese Academy of Sciences, Beijing, China

    Deyu Wang & Hualin Shi

  3. China National Center for Bioinformation, Beijing, China

    Qing Zhang

  4. Beijing Institute of Genomics, Chinese Academy of Sciences, Beijing, China

    Qing Zhang

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  2. Qing Zhang
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Contributions

D.W., Q.Z. and H.S. conceived the study and developed the theory. D.W. performed the investigation and wrote the draft. D.W., Q.Z., and H.S. discussed, reviewed, and revised the paper.

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Correspondence to Deyu Wang or Hualin Shi.

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Wang, D., Zhang, Q. & Shi, H. A proteome optimal allocation model for elucidating effects of temperature on bacterial growth. npj Syst Biol Appl (2026). https://doi.org/10.1038/s41540-026-00693-4

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  • Received: 24 June 2025

  • Accepted: 17 March 2026

  • Published: 31 March 2026

  • DOI: https://doi.org/10.1038/s41540-026-00693-4

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