Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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BibTex format

author = {Degond, PAA and Manhart, A and Yu, H},
doi = {10.1142/S0218202518400043},
journal = {Mathematical Models and Methods in Applied Sciences},
pages = {1737--1770},
title = {An age-structured continuum model for myxobacteria},
url = {},
volume = {28},
year = {2018}

RIS format (EndNote, RefMan)

AB - Myxobacteria are social bacteria, that can glide in 2D and form counter-propagating,interacting waves. Here we present a novel age-structured, continuous macroscopic modelfor the movement of myxobacteria. The derivation is based on microscopic interactionrules that can be formulated as a particle-based model and set within the SOH (Self-Organized Hydrodynamics) framework. The strength of this combined approach is thatmicroscopic knowledge or data can be incorporated easily into the particle model, whilstthe continuous model allows for easy numerical analysis of the different effects. Howeverwe found that the derived macroscopic model lacks a diffusion term in the density equa-tions, which is necessary to control the number of waves, indicating that a higher orderapproximation during the derivation is crucial. Uponad-hocaddition of the diffusionterm, we found very good agreement between the age-structured model and the biology.In particular we analyzed the influence of a refractory (insensitivity) period following areversal of movement. Our analysis reveals that the refractory period is not necessaryfor wave formation, but essential to wave synchronization, indicating separate molecularmechanisms.
AU - Degond,PAA
AU - Manhart,A
AU - Yu,H
DO - 10.1142/S0218202518400043
EP - 1770
PY - 2018///
SN - 1793-6314
SP - 1737
TI - An age-structured continuum model for myxobacteria
T2 - Mathematical Models and Methods in Applied Sciences
UR -
UR -
VL - 28
ER -