Connection between the Bacterial Chemotactic Network and Optimal Filtering

Kento Nakamura and Tetsuya J. Kobayashi
Phys. Rev. Lett. 126, 128102 – Published 23 March 2021
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Abstract

The chemotactic network of Escherichia coli has been studied extensively both biophysically and information theoretically. Nevertheless, connection between these two aspects is still elusive. In this work, we report such a connection. We derive an optimal filtering dynamics under the assumption that E. coli’s sensory system optimally infers the binary information whether it is swimming up or down along an exponential ligand gradient from noisy sensory signals. Then we show that a standard biochemical model of the chemotactic network is mathematically equivalent to this information-theoretically optimal dynamics. Moreover, we demonstrate that an experimentally observed nonlinear response relation can be reproduced from the optimal dynamics. These results suggest that the biochemical network of E. coli chemotaxis is designed to optimally extract the binary information along an exponential gradient in a noisy condition.

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  • Received 2 June 2020
  • Accepted 12 February 2021

DOI:https://doi.org/10.1103/PhysRevLett.126.128102

© 2021 American Physical Society

Physics Subject Headings (PhySH)

Physics of Living SystemsInterdisciplinary Physics

Authors & Affiliations

Kento Nakamura and Tetsuya J. Kobayashi*

  • Department of Mathematical Informatics, Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8654, Japan

  • *tetsuya@mail.crmind.net Also at Institute of Industrial Science, The University of Tokyo, Tokyo 153-8505, Japan.

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Issue

Vol. 126, Iss. 12 — 26 March 2021

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