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Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks

Quantifying signal transmission in biochemical systems is key to uncover the mechanisms that cells use to control their responses to environmental stimuli. In this work we use the time-integral of chemical species as a measure of a network’s ability to cumulatively transmit signals encoded in spatio...

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Autores principales: Oyarzún, Diego A., López-Caamal, Fernando, García, Míriam R., Middleton, Richard H., Weiße, Andrea Y.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Public Library of Science 2013
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3648562/
https://www.ncbi.nlm.nih.gov/pubmed/23667528
http://dx.doi.org/10.1371/journal.pone.0062834
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author Oyarzún, Diego A.
López-Caamal, Fernando
García, Míriam R.
Middleton, Richard H.
Weiße, Andrea Y.
author_facet Oyarzún, Diego A.
López-Caamal, Fernando
García, Míriam R.
Middleton, Richard H.
Weiße, Andrea Y.
author_sort Oyarzún, Diego A.
collection PubMed
description Quantifying signal transmission in biochemical systems is key to uncover the mechanisms that cells use to control their responses to environmental stimuli. In this work we use the time-integral of chemical species as a measure of a network’s ability to cumulatively transmit signals encoded in spatiotemporal concentrations. We identify a class of nonlinear reaction-diffusion networks in which the time-integrals of some species can be computed analytically. The derived time-integrals do not require knowledge of the solution of the reaction-diffusion equation, and we provide a simple graphical test to check if a given network belongs to the proposed class. The formulae for the time-integrals reveal how the kinetic parameters shape signal transmission in a network under spatiotemporal stimuli. We use these to show that a canonical complex-formation mechanism behaves as a spatial low-pass filter, the bandwidth of which is inversely proportional to the diffusion length of the ligand.
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spelling pubmed-36485622013-05-10 Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks Oyarzún, Diego A. López-Caamal, Fernando García, Míriam R. Middleton, Richard H. Weiße, Andrea Y. PLoS One Research Article Quantifying signal transmission in biochemical systems is key to uncover the mechanisms that cells use to control their responses to environmental stimuli. In this work we use the time-integral of chemical species as a measure of a network’s ability to cumulatively transmit signals encoded in spatiotemporal concentrations. We identify a class of nonlinear reaction-diffusion networks in which the time-integrals of some species can be computed analytically. The derived time-integrals do not require knowledge of the solution of the reaction-diffusion equation, and we provide a simple graphical test to check if a given network belongs to the proposed class. The formulae for the time-integrals reveal how the kinetic parameters shape signal transmission in a network under spatiotemporal stimuli. We use these to show that a canonical complex-formation mechanism behaves as a spatial low-pass filter, the bandwidth of which is inversely proportional to the diffusion length of the ligand. Public Library of Science 2013-05-08 /pmc/articles/PMC3648562/ /pubmed/23667528 http://dx.doi.org/10.1371/journal.pone.0062834 Text en © 2013 Oyarzún et al http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited.
spellingShingle Research Article
Oyarzún, Diego A.
López-Caamal, Fernando
García, Míriam R.
Middleton, Richard H.
Weiße, Andrea Y.
Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title_full Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title_fullStr Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title_full_unstemmed Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title_short Cumulative Signal Transmission in Nonlinear Reaction-Diffusion Networks
title_sort cumulative signal transmission in nonlinear reaction-diffusion networks
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3648562/
https://www.ncbi.nlm.nih.gov/pubmed/23667528
http://dx.doi.org/10.1371/journal.pone.0062834
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