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:	English
Published:	Nature Publishing Group 2021-03-01
Series:	Nature Communications
Online Access:	https://doi.org/10.1038/s41467-021-21700-8

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spelling	doaj-aba959ab8e8b4d49bc6ed53854e3b5b32021-03-21T12:13:41ZengNature Publishing GroupNature Communications2041-17232021-03-0112111910.1038/s41467-021-21700-8Nonlinear delay differential equations and their application to modeling biological network motifsDavid S. Glass0Xiaofan Jin1Ingmar H. Riedel-Kruse2Department of Molecular Cell Biology, Weizmann Institute of ScienceGladstone InstitutesDepartment of Molecular and Cellular Biology, and (by courtesy) Departments of Applied Mathematics and Biomedical Engineering, University of ArizonaNetwork 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.https://doi.org/10.1038/s41467-021-21700-8
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	David S. Glass Xiaofan Jin Ingmar H. Riedel-Kruse
spellingShingle	David S. Glass Xiaofan Jin Ingmar H. Riedel-Kruse Nonlinear delay differential equations and their application to modeling biological network motifs Nature Communications
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 Publishing Group
series	Nature Communications
issn	2041-1723
publishDate	2021-03-01
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.
url	https://doi.org/10.1038/s41467-021-21700-8
work_keys_str_mv	AT davidsglass nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs AT xiaofanjin nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs AT ingmarhriedelkruse nonlineardelaydifferentialequationsandtheirapplicationtomodelingbiologicalnetworkmotifs
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Nonlinear delay differential equations and their application to modeling biological network motifs

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