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SUMMARY:Carlos Jerez Hanckes (Universidad Adolfo Ibañez)
DTSTART:20241022T090000Z
DTEND:20241022T100000Z
DTSTAMP:20260417T004840Z
UID:cam/51
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/cam/51/">Cel
 l Electropermeabilization Modeling Via Multiple Traces Formulation and Tim
 e Semi-Implicit Multistep Coupling</a>\nby Carlos Jerez Hanckes (Universid
 ad Adolfo Ibañez) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAb
 stract\nWe simulate the electrical response of multiple disjoint biologica
 l 3D cells undergoing an electropermeabilization process. Instead of solvi
 ng the boundary value problem in the unbounded volume\, we reduce it to a 
 system of boundary integrals equations--the local Multiple Traces Formulat
 ion--coupled with nonlinear dynamics on the cell membranes. Though in time
  the model is highly non-linear and poorly regular\, the smooth geometry a
 llows for boundary unknowns to be spatially approximated by spherical harm
 onics. This leads to spectral convergence rates in space. In time\, we use
  a multistep semi-implicit scheme. To ensure stability\, the time step nee
 ds to be bounded by the smallest characteristic time of the system. Numeri
 cal results are provided to validate our claims and future enhancements ar
 e pointed out.\n
LOCATION:https://researchseminars.org/talk/cam/51/
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