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SUMMARY:Identification of cavities in a nonlinear model arising from cardi
 ac electrophysiology - Elena Beretta (New York University)
DTSTART:20230621T090000Z
DTEND:20230621T100000Z
UID:TALK200437@talks.cam.ac.uk
DESCRIPTION:Detecting ischemic regions is crucial for preventing lethal ve
 ntricular ischemic tachycardia. This is typically done by recording the he
 art's electrical activity using either noninvasive or minimally invasive m
 ethods\, such as body surface or intracardiac measurements. Mathematical a
 nd numerical models of cardiac electrophysiology can provide insight into 
 how electrical measurements can be used to detect ischemia. The goal is to
  combine boundary measurements of potentials with a mathematical model of 
 the heart's electrical activity to identify the position\, shape\, and siz
 e of ischemias and/or infarctions. Ischemic regions can be modeled as elec
 trical insulators using the monodomain model\, which is a semilinear react
 ion-diffusion system that describes cardiac electrical activity comprehens
 ively.\nIn this talk\, I will focus on the case of an insulated heart with
 out coupling to the torso. I will first review some results related to rec
 onstructing cavities for the stationary model\, and then present some resu
 lts obtained recently in the case of the time-dependent monodomain model.\
 nREFERENCES&nbsp\;[1] E. Beretta\, M. C. Cerutti\, D. Pierotti\, &nbsp\;"O
 n a nonlinear model in domains with cavities arising from cardiac electrop
 hysiology"\, &nbsp\;Inverse Problems 38 (2022)\, no. 10\, Paper No. 105005
 \, 16 pp.[2] E. Beretta\, M. C. Cerutti\, D.Pierotti\, L. Ratti\, &nbsp\;"
 On the reconstruction of cavities in a nonlinear model arising from cardia
 c electrophysiology" 29 (2023) 36 ESAIM: COCV&nbsp\;[3] A. Aspri\, E. Bere
 tta\, E.Francini\, S. Vessella\, D. Pierotti\, &nbsp\; "On the reconstruct
 ion of cavities &nbsp\;in the monodomain model from boundary measurements 
 " &nbsp\;in preparation (2023)&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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