Nonlinear delay differential equations and their application to modeling biological network motifs

Network motif models focus on small sub-networks in biological systems to quantitatively describe overall behavior but they often overlook time delays. Here, the authors systematically examine the most common network motifs via delay differential equations (DDE), often leading to more concise descri...

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Auteurs principaux: David S. Glass, Xiaofan Jin, Ingmar H. Riedel-Kruse
Format: article
Langue:EN
Publié: Nature Portfolio 2021
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Accès en ligne:https://doaj.org/article/aba959ab8e8b4d49bc6ed53854e3b5b3
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spelling oai:doaj.org-article:aba959ab8e8b4d49bc6ed53854e3b5b32021-12-02T17:04:54ZNonlinear delay differential equations and their application to modeling biological network motifs10.1038/s41467-021-21700-82041-1723https://doaj.org/article/aba959ab8e8b4d49bc6ed53854e3b5b32021-03-01T00:00:00Zhttps://doi.org/10.1038/s41467-021-21700-8https://doaj.org/toc/2041-1723Network motif models focus on small sub-networks in biological systems to quantitatively describe overall behavior but they often overlook time delays. Here, the authors systematically examine the most common network motifs via delay differential equations (DDE), often leading to more concise descriptions.David S. GlassXiaofan JinIngmar H. Riedel-KruseNature PortfolioarticleScienceQENNature Communications, Vol 12, Iss 1, Pp 1-19 (2021)
institution DOAJ
collection DOAJ
language EN
topic Science
Q
spellingShingle Science
Q
David S. Glass
Xiaofan Jin
Ingmar H. Riedel-Kruse
Nonlinear delay differential equations and their application to modeling biological network motifs
description Network motif models focus on small sub-networks in biological systems to quantitatively describe overall behavior but they often overlook time delays. Here, the authors systematically examine the most common network motifs via delay differential equations (DDE), often leading to more concise descriptions.
format article
author David S. Glass
Xiaofan Jin
Ingmar H. Riedel-Kruse
author_facet David S. Glass
Xiaofan Jin
Ingmar H. Riedel-Kruse
author_sort David S. Glass
title Nonlinear delay differential equations and their application to modeling biological network motifs
title_short Nonlinear delay differential equations and their application to modeling biological network motifs
title_full Nonlinear delay differential equations and their application to modeling biological network motifs
title_fullStr Nonlinear delay differential equations and their application to modeling biological network motifs
title_full_unstemmed Nonlinear delay differential equations and their application to modeling biological network motifs
title_sort nonlinear delay differential equations and their application to modeling biological network motifs
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/aba959ab8e8b4d49bc6ed53854e3b5b3
work_keys_str_mv AT davidsglass nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs
AT xiaofanjin nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs
AT ingmarhriedelkruse nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs
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