Graphical reduction of reaction networks by linear elimination of species

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Graphical reduction of reaction networks by linear elimination of species. / Saez Cornellana, Meritxell; Wiuf, Carsten; Feliu, Elisenda.

In: Journal of Mathematical Biology, Vol. 74, No. 1, 2017, p. 195–237.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Saez Cornellana, M, Wiuf, C & Feliu, E 2017, 'Graphical reduction of reaction networks by linear elimination of species', Journal of Mathematical Biology, vol. 74, no. 1, pp. 195–237. https://doi.org/10.1007/s00285-016-1028-y

APA

Saez Cornellana, M., Wiuf, C., & Feliu, E. (2017). Graphical reduction of reaction networks by linear elimination of species. Journal of Mathematical Biology, 74(1), 195–237. https://doi.org/10.1007/s00285-016-1028-y

Vancouver

Saez Cornellana M, Wiuf C, Feliu E. Graphical reduction of reaction networks by linear elimination of species. Journal of Mathematical Biology. 2017;74(1):195–237. https://doi.org/10.1007/s00285-016-1028-y

Author

Saez Cornellana, Meritxell ; Wiuf, Carsten ; Feliu, Elisenda. / Graphical reduction of reaction networks by linear elimination of species. In: Journal of Mathematical Biology. 2017 ; Vol. 74, No. 1. pp. 195–237.

Bibtex

@article{b97df77d868e4f36a42ca0f247928c85,
title = "Graphical reduction of reaction networks by linear elimination of species",
abstract = "We give a graphically based procedure to reduce a reaction network to a smaller reaction network with fewer species after linear elimination of a set of noninteracting species. We give a description of the reduced reaction network, its kinetics and conservations laws, and explore properties of the network and its kinetics. We conclude by comparing our approach to an older similar approach by Temkin and co-workers. Finally, we apply the procedure to biological examples such as substrate mechanisms, post-translational modification systems and networks with intermediates (transient) steps.",
keywords = "math.DS, q-bio.MN, 92C42, 80A30",
author = "{Saez Cornellana}, Meritxell and Carsten Wiuf and Elisenda Feliu",
year = "2017",
doi = "10.1007/s00285-016-1028-y",
language = "English",
volume = "74",
pages = "195–237",
journal = "Journal of Mathematical Biology",
issn = "0303-6812",
publisher = "Springer",
number = "1",

}

RIS

TY - JOUR

T1 - Graphical reduction of reaction networks by linear elimination of species

AU - Saez Cornellana, Meritxell

AU - Wiuf, Carsten

AU - Feliu, Elisenda

PY - 2017

Y1 - 2017

N2 - We give a graphically based procedure to reduce a reaction network to a smaller reaction network with fewer species after linear elimination of a set of noninteracting species. We give a description of the reduced reaction network, its kinetics and conservations laws, and explore properties of the network and its kinetics. We conclude by comparing our approach to an older similar approach by Temkin and co-workers. Finally, we apply the procedure to biological examples such as substrate mechanisms, post-translational modification systems and networks with intermediates (transient) steps.

AB - We give a graphically based procedure to reduce a reaction network to a smaller reaction network with fewer species after linear elimination of a set of noninteracting species. We give a description of the reduced reaction network, its kinetics and conservations laws, and explore properties of the network and its kinetics. We conclude by comparing our approach to an older similar approach by Temkin and co-workers. Finally, we apply the procedure to biological examples such as substrate mechanisms, post-translational modification systems and networks with intermediates (transient) steps.

KW - math.DS

KW - q-bio.MN

KW - 92C42, 80A30

U2 - 10.1007/s00285-016-1028-y

DO - 10.1007/s00285-016-1028-y

M3 - Journal article

C2 - 27221101

VL - 74

SP - 195

EP - 237

JO - Journal of Mathematical Biology

JF - Journal of Mathematical Biology

SN - 0303-6812

IS - 1

ER -

ID: 160402366