BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Particles in Membranes - Ralf Kornhuber (Freie Universitaet Berlin
 )
DTSTART:20190509T140000Z
DTEND:20190509T150000Z
UID:TALK107893@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:The interplay of curvature and particles  diffusing in biologi
 cal membranes is responsible for organizing and shaping the membrane and\n
 gives rise to a variety of cellular functions. Hybrid models combining a c
 ontinuum representation of the membrane with discrete\, highly coarse grai
 ned descriptions of particles have a long history in physics\, while mathe
 matical analysis is still in its infancy.\nWe present a hierarchy of varia
 tional formulations of existing hybrid models\, where the coupling of part
 icles and membrane is formulated in terms of linear constraints to the min
 imization of the Canham–Helfrich energy of the membrane.\nUtilizing conc
 epts from shape calculus\, we derive a numerically feasible representation
  of the derivative of the minimal Canham–Helfrich energy for given parti
 cle positions with respect to the particle positions. This representation 
 is applied in numerical investigations of the clustering behaviour of BAR 
 domains and paves the way to Langevin dynamics of particles in membranes.\
 n\nThis is joint work with C.M. Elliott\, C. Gräser and T. Kies
LOCATION:MR 14
END:VEVENT
END:VCALENDAR