Matches in SemOpenAlex for { <https://semopenalex.org/work/W3136254756> ?p ?o ?g. }
- W3136254756 abstract "Abstract Biological regulatory systems, such as cell signaling networks, nervous systems and ecological webs, consist of complex dynamical interactions among many components. Network motif models focus on small sub-networks to provide quantitative insight into overall behavior. However, such models often overlook time delays either inherent to biological processes or associated with multi-step interactions. Here we systematically examine explicit-delay versions of the most common network motifs via delay differential equation (DDE) models, both analytically and numerically. We find many broadly applicable results, including parameter reduction versus canonical ordinary differential equation (ODE) models, analytical relations for converting between ODE and DDE models, criteria for when delays may be ignored, a complete phase space for autoregulation, universal behaviors of feedforward loops, a unified Hill-function logic framework, and conditions for oscillations and chaos. We conclude that explicit-delay modeling simplifies the phenomenology of many biological networks and may aid in discovering new functional motifs." @default.
- W3136254756 created "2021-03-29" @default.
- W3136254756 creator A5019814011 @default.
- W3136254756 creator A5026426411 @default.
- W3136254756 creator A5070141288 @default.
- W3136254756 date "2021-03-19" @default.
- W3136254756 modified "2023-10-15" @default.
- W3136254756 title "Nonlinear delay differential equations and their application to modeling biological network motifs" @default.
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