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SUMMARY:Model order reduction and sensitivity analysis for complex ocular 
 simulations
DTSTART:20260519T120000Z
DTEND:20260519T130000Z
DTSTAMP:20260523T230800Z
UID:indico-event-16547@indico.math.cnrs.fr
DESCRIPTION:Speakers: Marcela Szopos (MAP5\, Université Paris Cité)\n\nU
 nderstanding the behavior of the human eye is challenging due to the compl
 ex interactions between various physical phenomena\, such as heat transfer
 \, fluid dynamics\, and tissue deformation. Although medical data can offe
 r valuable insights into ocular physiopathology\, the available informatio
 n can be scarce and noisy. Moreover\, in experimental studies\, multiple f
 actors come into play and it is difficult to isolate the contributions of 
 individual mechanisms. Therefore\, developing a robust and accurate digita
 l twin for ocular applications can enhance our understanding of this compl
 ex system\, by integrating governing mechanisms and data variability. \nTh
 is talk presents our ongoing efforts in this direction\, focusing on the t
 hermo-fluid dynamics governing aqueous humor flow in the anterior and post
 erior chambers and its coupling with heat transfer throughout the eyeball.
  Our methodology involves developing a comprehensive mathematical and comp
 utational model based on the finite element method\, rigorously validated 
 against experimental data and numerical studies. To facilitate real-time f
 eedback\, we derived a reliable reduced-order model using the certified re
 duced basis method. We performed forward uncertainty quantification studie
 s with the reduced model\, utilizing experimental based stochastic inputs\
 , and conducted global sensitivity analysis to address variability and noi
 se. We will illustrate these developments\, discuss their applications\, a
 nd address the remaining challenges\, including inverse problems and param
 eter identification.\nThe presentation is based on a joint work with Thoma
 s Saigre (Inria\, Strasbourg)\, Vincent Chabannes (Cemosis\, Univ. de Stra
 sbourg) and Christophe Prud'homme (Cemosis\, Univ. de Strasbourg).\n\nhttp
 s://indico.math.cnrs.fr/event/16547/
LOCATION:UTC - GI
URL:https://indico.math.cnrs.fr/event/16547/
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