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SUMMARY:Mathematical Modelling of diffusive filaments: from active colloid
 s to microplastic fibre pollutant release dynamics  - Panayiota Katsamba (
 The Cyprus Institute\, Nicosia\, Cyprus)
DTSTART:20250710T120000Z
DTEND:20250710T130000Z
UID:TALK233437@talks.cam.ac.uk
CONTACT:Anand Srinivasan
DESCRIPTION:Ubiquitous in the microcosmos\, chemically active filaments ar
 e breaming with rich coupled dynamics arising from the interplay of (bio)c
 hemical activity\, fluid flow and elasticity. This talk presents a unified
  mathematical modelling framework for diffusive filaments interacting with
  their microscale environment through surface fluxes\, with applications r
 anging from catalytic microbots to degrading microplastic fibres. At the h
 eart of this framework lies Slender Phoretic Theory (SPT)—a reduced-orde
 r\, asymptotically derived approach for modelling solute dynamics around t
 hin\, chemically active filaments. By exploiting the filament’s slender 
 geometry\, SPT reduces the complex boundary value problem of solving Lapla
 ce equation for the solute dynamics to a line integral along the filament'
 s centerline. The theory accommodates general centreline geometries\, spat
 ially varying surface flux\, and non-uniform cross-sectional profiles. SPT
  predictions have been rigorously validated against full numerical solutio
 ns using Boundary Element Methods with regularised singularities. Original
 ly developed to model autophoretic and catalytic microswimmers\, we now ex
 tend SPT to explore solute release from degrading microplastic fibres—br
 idging a conceptual and technical pathway from synthetic active matter to 
 pollutant transport in environmental systems. \n\nKey words: asymptotic mo
 delling\, slender body theory\, diffusion\, boundary element methods\, mic
 roplastic fibres\, microfibres\, active matter\, colloids\, self-diffusiop
 horesis\,\, microbots
LOCATION:MR14\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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