Original title: On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle
Authors: Matonoha, Ctirad ; Papáček, Š.
Document type: Papers
Conference/Event: SNA´19 - Seminar on numerical analysis, Ostrava (CZ), 20190121
Year: 2019
Language: eng
Abstract: This contribution represents an extension of our earlier studies on the paradigmatic example of the inverse problem of the diffusion parameter estimation from spatio-temporal measurements of fluorescent particle concentration, see [6, 1, 3, 4, 5]. More precisely, we continue to look for an optimal bleaching pattern used in FRAP (Fluorescence Recovery After Photobleaching), being the initial condition of the Fickian diffusion equation maximizing a sensitivity measure. As follows, we define an optimization problem and we show the special feature (so-called complementarity principle) of the optimal binary-valued initial conditions.
Keywords: bleaching pattern; initial boundary value problem; parameter identification; sensitivity measure
Project no.: CZ.1.05/2.1.00/01.0024, LO1205 (CEP), CZ.1.05/2.1.00/19.0380
Funding provider: CENAKVA, GA MŠk, CENAKVA
Host item entry: SNA '19 - Seminar on numerical analysis, ISBN 978-80-86407-73-9

Institution: Institute of Computer Science AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: http://hdl.handle.net/11104/0293163

Permalink: http://www.nusl.cz/ntk/nusl-391593


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