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SUMMARY:Two emergent biophysical phenomena motivated by Turing and Jeffery
  - Mohit Dalwadi\, University College London
DTSTART:20231109T130000Z
DTEND:20231109T140000Z
UID:TALK205807@talks.cam.ac.uk
CONTACT:Marco Vona
DESCRIPTION:In this talk I use applied mathematics to understand two emerg
 ent phenomena related to fundamental biophysical problems. They are linked
  to one another via the multiscale techniques I use to understand them.\n\
 nIn the first part\, I discuss an overarching question in developmental bi
 ology: how is it that cells are able to decode spatio-temporally varying s
 ignals into functionally robust patterns in the presence of confounding ef
 fects caused by unpredictable or heterogeneous environments? This is linke
 d to the general idea first explored by Alan Turing in the 1950s. Through 
 multiscale analysis\, I present a general theory of pattern formation in t
 he presence of spatio-temporal input variations\, and show how biological 
 systems can generate non-standard dynamic robustness for 'free' over physi
 ologically relevant timescales.\n\nIn the second part\, I investigate how 
 the rapid spinning of 3D microswimmers affects their emergent (observed) t
 rajectories in shear flow. This is an active version of the classic fluid 
 mechanics result of Jeffery's orbits for inert spheroids\, first explored 
 by George Jeffery in the 1920s. I show that the short-scale rapid 3D spinn
 ing exhibited by many microswimmers can have a significant effect on longe
 r-scale trajectories\, despite the common neglect of this spinning in some
  mathematical models\, and how this can be systematically incorporated int
 o modified versions of Jeffery's original equations.
LOCATION:MR15\,  Centre for Mathematical Sciences\, Wilberforce Road\, Cam
 bridge
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