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

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

SUBMITTER: Glass DS 

PROVIDER: S-EPMC7979834 | biostudies-literature | 2021 Mar

REPOSITORIES: biostudies-literature