Original title:
On Two Methods for the Parameter Estimation Problem with Spatio-Temporal FRAP Data
Authors:
Papáček, Š. ; Jablonský, J. ; Matonoha, Ctirad Document type: Papers Conference/Event: Programs and Algorithms of Numerical Mathematics /17./, Dolní Maxov (CZ), 2014-06-08 / 2014-06-13
Year:
2015
Language:
eng Abstract:
FRAP (Fluorescence Recovery After Photobleaching) is a measurement technique for determination of the mobility of fluorescent molecules (presumably due to the diffusion process) within the living cells. While the experimental setup and protocol are usually fixed, the method used for the model parameter estimation, i.e. the data processing step, is not well established. In order to enhance the quantitative analysis of experimental (noisy) FRAP data, we firstly formulate the inverse problem of model parameter estimation and then we focus on how the different methods of data pre- processing influence the confidence interval of the estimated parameters, namely the diffusion constant $p$. Finally, we present a preliminary study of two methods for the computation of a least-squares estimate $\hat{p}$ and its confidence interval.
Keywords:
confidence intervals; diffusion equation; Fisher information matrix; fluorescence recovery after photobleaching; Moullineaux method; parameter estimation; sensitivity analysis; uncertainty quantification Project no.: ED2.1.00/01.0024, LO1205 (CEP), EE2.3.30.0006 Funding provider: GA MŠk, GA MŠk, GA MŠk Host item entry: Programs and algorithms of numerical mathematics 17. Proceedings of seminar, ISBN 978-80-85823-64-6 Note: Související webová stránka: http://dml.cz/handle/10338.dmlcz/702679
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/11104/0246708