Pareto optimal fronts of kinetic proofreading

Biological processes such as DNA replication, RNA transcription, and protein translation operate with remarkable speed and accuracy in selecting the right substrate from pools of chemically identical molecules. This result is obtained by non-equilibrium reactions that dissipate chemical energy. It i...

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Main Authors: Davide Chiuchiu, Shrabani Mondal, Simone Pigolotti
Format: Article
Language:English
Published: IOP Publishing 2023-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/acc757
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author Davide Chiuchiu
Shrabani Mondal
Simone Pigolotti
author_facet Davide Chiuchiu
Shrabani Mondal
Simone Pigolotti
author_sort Davide Chiuchiu
collection DOAJ
description Biological processes such as DNA replication, RNA transcription, and protein translation operate with remarkable speed and accuracy in selecting the right substrate from pools of chemically identical molecules. This result is obtained by non-equilibrium reactions that dissipate chemical energy. It is widely recognized that there must be a trade-off between speed, error, and dissipation characterizing these systems. In this paper, we quantify this trade-off using tools from mathematical optimization theory. We characterize the Pareto optimal front for a generalized version of Hopfield’s kinetic proofreading model, which is a paradigmatic example of biological error correction. We find that models with more proofreading steps are characterized by better trade-offs. Furthermore, we numerically study scaling relations between speed, accuracy, and dissipation on the Pareto front.
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spelling doaj.art-c8db9bf4f0334027ade1f7d4b88a73ba2023-08-09T14:14:17ZengIOP PublishingNew Journal of Physics1367-26302023-01-0125404300710.1088/1367-2630/acc757Pareto optimal fronts of kinetic proofreadingDavide Chiuchiu0Shrabani Mondal1https://orcid.org/0000-0002-6011-1066Simone Pigolotti2https://orcid.org/0000-0002-6157-6906Biological Complexity Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanBiological Complexity Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, Japan; Department of Chemistry, Physical Chemistry Section, Jadavpur University , Kolkata 700032, IndiaBiological Complexity Unit, Okinawa Institute of Science and Technology Graduate University , Onna, Okinawa 904-0495, JapanBiological processes such as DNA replication, RNA transcription, and protein translation operate with remarkable speed and accuracy in selecting the right substrate from pools of chemically identical molecules. This result is obtained by non-equilibrium reactions that dissipate chemical energy. It is widely recognized that there must be a trade-off between speed, error, and dissipation characterizing these systems. In this paper, we quantify this trade-off using tools from mathematical optimization theory. We characterize the Pareto optimal front for a generalized version of Hopfield’s kinetic proofreading model, which is a paradigmatic example of biological error correction. We find that models with more proofreading steps are characterized by better trade-offs. Furthermore, we numerically study scaling relations between speed, accuracy, and dissipation on the Pareto front.https://doi.org/10.1088/1367-2630/acc757error correctionthermodynamic tradeoffspeed-error tradeoffnon-equilibrium thermodynamics
spellingShingle Davide Chiuchiu
Shrabani Mondal
Simone Pigolotti
Pareto optimal fronts of kinetic proofreading
New Journal of Physics
error correction
thermodynamic tradeoff
speed-error tradeoff
non-equilibrium thermodynamics
title Pareto optimal fronts of kinetic proofreading
title_full Pareto optimal fronts of kinetic proofreading
title_fullStr Pareto optimal fronts of kinetic proofreading
title_full_unstemmed Pareto optimal fronts of kinetic proofreading
title_short Pareto optimal fronts of kinetic proofreading
title_sort pareto optimal fronts of kinetic proofreading
topic error correction
thermodynamic tradeoff
speed-error tradeoff
non-equilibrium thermodynamics
url https://doi.org/10.1088/1367-2630/acc757
work_keys_str_mv AT davidechiuchiu paretooptimalfrontsofkineticproofreading
AT shrabanimondal paretooptimalfrontsofkineticproofreading
AT simonepigolotti paretooptimalfrontsofkineticproofreading