On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle

0501179 - ÚI 2020 RIV CZ eng K - Conference Paper (Czech conference)
Matonoha, Ctirad - Papáček, Š.
On the Optimal Initial Conditions for an Inverse Problem of Model Parameter Estimation - a Complementarity Principle.
SNA '19 - Seminar on numerical analysis. Ostrava: Institute of Geonics of the CAS, 2019 - (Blaheta, R.; Starý, J.; Sysalová, D.), s. 100-103. ISBN 978-80-86407-73-9.
[SNA´19 - Seminar on numerical analysis. Ostrava (CZ), 21.01.2019-25.01.2019]
Grant - others:CENAKVA(CZ) CZ.1.05/2.1.00/01.0024; GA MŠk(CZ) LO1205; CENAKVA(CZ) CZ.1.05/2.1.00/19.0380
Institutional support: RVO:67985807
Keywords : parameter identification * bleaching pattern * initial boundary value problem * sensitivity measure
OECD category: Pure mathematics

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.
Permanent Link: http://hdl.handle.net/11104/0293163