Algorithmic Reduction of Biological Networks With Multiple Time Scales

• Published in: arXiv.org
• Main Authors: Kruff, Niclas, Lüders, Christoph, Radulescu, Ovidiu, Sturm, Thomas, Walcher, Sebastian
• Format: Paper
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 02.03.2021
• Subjects: Algorithms; Biological models (mathematics); Cellular communication; Chemical reactions; Differential equations; Epidemiology; Invariants; Networks; Pharmacology; Reduction; Singular perturbation; Solvers; Time

We present a symbolic algorithmic approach that allows to compute invariant manifolds and corresponding reduced systems for differential equations modeling biological networks which comprise chemical reaction networks for cellular biochemistry, and compartmental models for pharmacology, epidemiology...