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

Mark Blyth, Ludovic Renson*, Lucia Marucci*

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)

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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.
Original languageEnglish
Number of pages14
JournalarXiv
Publication statusUnpublished - 12 Aug 2020

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