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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Main Authors:	David S. Glass, Xiaofan Jin, Ingmar H. Riedel-Kruse
Format:	article
Language:	EN
Published:	Nature Portfolio 2021
Subjects:	Science Q
Online Access:	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
_version_	1718381807968190464

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

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