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SUMMARY:The interplay between bulk flow and boundary conditions on the dis
 tribution of micro-swimmers in channel flow - Smitha Maretvadakethope\, Un
 iversity of Liverpool
DTSTART:20221103T123000Z
DTEND:20221103T133000Z
UID:TALK184982@talks.cam.ac.uk
CONTACT:Raymond E. Goldstein
DESCRIPTION:Biofilm formation impacts many fields\, from medical technolog
 ies\, e.g. catheter design\, to infrastructure development\, e.g. water su
 pply pipes. For the case of motile micro-swimmers\, the early stages of bi
 ofilm behaviour are dependent on the physical properties of swimmers and t
 heir ambient flow environments as these affect the likelihood of surface i
 nteractions and surface colonisation.  \n\nWe study the initial stages of 
 biofilm formation for dilute suspensions of micro-swimmers in two-dimensio
 nal pressure-driven flows. We highlight the effects of swimmer geometry an
 d linearly varying shear flow on swimmer trajectories and how the history 
 of bulk-flow dynamics affects swimmer-wall interactions. Continuum modelli
 ng\, using a two-dimensional Smoluchowski equation\, allows us to obtain p
 opulation-level features of the equilibrium problem\, while the use of sto
 chastic individual-based models allows us to analyse the observed features
 \, explore cell behaviours throughout the bulk flow\, and highlight the ro
 les of rotational and translational diffusion on the resulting swimmer ori
 entation distributions at the channel walls. We further quantify the role 
 of the purely deterministic aspects of bulk-flow swimming on swimmer distr
 ibutions at the channel wall via a novel accumulation index. \n\nFinally\,
  we also study the interplay between the choice of boundary conditions in 
 continuum modelling and the observed bulk-flow dynamics. These insights hi
 ghlight the importance of shape and shear effects on swimmer-wall interact
 ions and the non-triviality of the choice of boundary conditions when deve
 loping continuum models for swimmer suspensions. 
LOCATION:MR15\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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