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Correction

Correction: Thermodynamics of Random Reaction Networks

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During typesetting, errors were introduced into Fig 3, Fig 4 and Fig 5. In Fig 3, the legend text is missing, and the labeling of the y-axis is incomplete. In Fig 4, the “B” label for subfigure B is missing, the legend text in subfigure B is incomplete, and the labeling of the y-axis in subfigure A is incomplete. In Fig 5, most of the text is missing. Please view the complete, correct Fig 3, Fig 4 and Fig 5 below. The publisher apologizes for the errors.

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Fig 3. The flow v through the network depending on boundary species distance d.

All networks are simulated with a boundary concentration difference of ∣c1−c2∣ = 0.9 and a base concentration of min(c1,c2) = 0.1. Filled (grey) symbols represent linear networks, empty (white) the nonlinear ones. Error bars show the standard error of the mean.

https://doi.org/10.1371/journal.pone.0124858.g001

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Fig 4. Varying flow through nonlinear networks.

Each data point is the average of all simulations with specific boundary species concentration (c1 = 0.1 c2 = 0.2…60) and a shortest path between boundary species of 3. (A) Dependency of flow from concentration difference. Pan-Sinha results are not shown as they overlap with the Erdős-Rényi ones. (B) Distribution of species chemical potential μi for different boundary condition strengths of BarabsiAlbert (BA) networks. (C) The fraction of dissipation in the network explained by the most dissipating 10 percent of reactions, fσ(0.1). (D) Standard deviation of chemical potentials σμ normalized by difference between boundary species’ potentials Δμ = ∣μb2−μb1∣ shows a more localized distribution of chemical potentials for larger flows.

https://doi.org/10.1371/journal.pone.0124858.g002

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Fig 5. Number of 2- and 4-cycles in the (directed) substrate graphs of the nonlinear reaction networks.

The plots show the number of additional cycles depending on the flow through the network in comparison to the same network with random reaction directions (Table 1). Each data point is the average of all simulations with boundary points distance of 3 and fixed boundary concentrations (c1 = 0.1 c2 = 0.2…60).

https://doi.org/10.1371/journal.pone.0124858.g003

Reference

  1. 1. Fischer J, Kleidon A, Dittrich P (2015) Thermodynamics of Random Reaction Networks. PLoS ONE 10(2): e0117312. pmid:25723751

Citation: The PLOS ONE Staff (2015) Correction: Thermodynamics of Random Reaction Networks. PLoS ONE 10(4): e0124858. https://doi.org/10.1371/journal.pone.0124858

Published: April 8, 2015

Copyright: © 2015 The PLOS ONE Staff. 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 credited