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SUMMARY:Microswimmer motility and natural robustness in pattern formation:
the emergence and explanation of non-standard multiscale phenomena - Prof
. Mohit Dalwadi (Mathematical Institute)
DTSTART;VALUE=DATE-TIME:20241017T120000
DTEND;VALUE=DATE-TIME:20241017T130000
UID:https://talks.ox.ac.uk/talks/id/b41d02a6-a08b-4cb6-bbb6-97cf351ed9f5/
DESCRIPTION:In this talk I use applied mathematics to understand emergent
multiscale phenomena arising in two fundamental problems in fluids and bio
logy.\n \nIn the first part\, I discuss an overarching question in develop
mental biology: how is it that cells are able to decode spatio-temporally
varying signals into functionally robust patterns in the presence of confo
unding effects caused by unpredictable or heterogeneous environments? This
is linked to the general idea first explored by Alan Turing in the 1950s.
I present a general theory of pattern formation in the presence of spatio
-temporal input variations\, and use multiscale mathematics to show how bi
ological systems can generate non-standard dynamic robustness for 'free' o
ver physiologically relevant timescales. This work also has applications i
n pattern formation more generally.\n \nIn the second part\, I investigate
how the rapid motion of 3D microswimmers affects their emergent trajector
ies in shear flow. This is an active version of the classic fluid mechanic
s result of Jeffery's orbits for inert spheroids\, first explored by Georg
e Jeffery in the 1920s. I show that the rapid short-scale motion exhibited
by many microswimmers can have a significant effect on longer-scale traje
ctories\, despite the common neglect of this motion in some mathematical m
odels\, and how to systematically incorporate this effect into modified ve
rsions of Jeffery's original equations.\nSpeakers:\nProf. Mohit Dalwadi (M
athematical Institute)
LOCATION:Mathematical Institute (Lecture Room 3)\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/b41d02a6-a08b-4cb6-bbb6-97cf351ed9f5/
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DESCRIPTION:Talk:Microswimmer motility and natural robustness in pattern f
ormation: the emergence and explanation of non-standard multiscale phenome
na - Prof. Mohit Dalwadi (Mathematical Institute)
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