Planned intervention: On Thursday March 28th 07:00 UTC Zenodo will be unavailable for up to 5 minutes to perform a database upgrade.
Published August 12, 2020 | Version v1
Preprint Open

Tutorial of numerical continuation and bifurcation theory for systems and synthetic biology

  • 1. Department of Engineering Mathematics, University of Bristol, Bristol BS8 1UB, UK.
  • 2. Department of Mechanical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK
  • 3. Department of Engineering Mathematics, University of Bristol, Bristol BS8 1UB, UK - School of Cellular and Molecular Medicine, University of Bristol, Bristol BS8 1TD, UK - BrisSynBio, Bristol BS8 1TQ, UK

Description

Abstract

Mathematical modelling allows us to concisely describe fundamental principles in biology. Analysis of models can help to both explain known phenomena, and predict the existence of new, unseen behaviours. Model analysis is often a complex task, such that we have little choice but to approach the problem with computational methods. Numerical continuation is a computational method for analysing the dynamics of nonlinear models by algorithmically detecting bifurcations. Here we aim to promote the use of numerical continuation tools by providing an introduction to nonlinear dynamics and numerical bifurcation analysis. Many numerical continuation packages are available, covering a wide range of system classes; a review of these packages is provided, to help both new and experienced practitioners in choosing the appropriate software tools for their needs.

Files

Blyth et al arxiv 2020.pdf

Files (523.5 kB)

Name Size Download all
md5:b9724138211f4dcc5ac4aef871db22d9
523.5 kB Preview Download

Additional details

Funding

COSY-BIO – Control Engineering of Biological Systems for Reliable Synthetic Biology Applications 766840
European Commission