Discrete and continuum multiscale behaviour in bacterial communication

Research output: Chapter in Book/Report/Conference proceedingChapter

Authors

Colleges, School and Institutes

External organisations

  • University of Nottingham

Abstract

The interacting effects operating on subcellular (gene regulatory processes), cellular (interactions between neighbouring cells) and population (signalling molecule transport) scales are exemplified and explored through simple multiscale models. Specific attention is focused on how the upregulation (or downregulation) of small numbers of discrete cells can influence the behaviour of the population as a whole, by investigating toy models for positive autoregulation and by the simulation of a much more detailed model for quorum sensing within a Gram-positive population of bacteria. The implications for delays associated with gene expression are also investigated in a spatio-temporal context through the analysis of blow-up behaviour, as a mathematical symptom of upregulation through positive feedback, in some model reaction-diffusion delay equations.

Details

Original languageEnglish
Title of host publicationMultiscale Computer Modelling in Biomechanics and Biomedical Engineering.
EditorsAmit Gefen
Publication statusPublished - 2013

Publication series

NameStudies in Mechanobiology, Tissue Engineering and Biomaterials
PublisherSpringer-Verlag Berlin Heidelberg