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SUMMARY:Mathematical problems in Drosophila morphogenesis
DTSTART;VALUE=DATE-TIME:20130125T100000Z
DTEND;VALUE=DATE-TIME:20130125T110000Z
DTSTAMP;VALUE=DATE-TIME:20191116T232543Z
UID:indico-event-533@indico.math.cnrs.fr
DESCRIPTION:A formal approach (mathematical models) describing the first t
wo hours of development of the embryo of Drosophila (fruit fly) is present
ed. The first part of the talk is centered on the biological and biochemic
al events and processes that determine the form and shape (morphogenesis)
of the embryo of Drosophila. Then we show the basic equations associated t
o some of the developmental processes and discuss the calibration and vali
dation of the mathematical models with real experimental data. The models
describe all the biochemical morphogenetic parameters measured in the Dros
ophila embryo with a relative error below 5% and account for the observed
phenotypic plasticity and resilience. This approach leads to a precise mat
hematical definition of resilience\, which we associate to the existence o
f a continuous family of Pareto optimal solutions of the models. Problems
associated with conservation laws (symmetries) and optimization for ill po
sed problems and noisy objective functions will also be discussed.\n\nhttp
s://indico.math.cnrs.fr/event/533/
LOCATION:IHES Amphithéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/533/
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