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On Two Methods for the Parameter Estimation Problem with Spatio-Temporal FRAP Data
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SYSNO ASEP 0444130 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title On Two Methods for the Parameter Estimation Problem with Spatio-Temporal FRAP Data Author(s) Papáček, Š. (CZ)
Jablonský, J. (CZ)
Matonoha, Ctirad (UIVT-O) RID, SAISource Title Programs and algorithms of numerical mathematics 17. Proceedings of seminar. - Praha : Matematický ústav AV ČR, v.v.i, 2015 / Chleboun J. ; Přikryl P. ; Segeth K. ; Šístek J. ; Vejchodský T. - ISBN 978-80-85823-64-6 Pages s. 163-168 Number of pages 6 s. Publication form Online - E Action Programs and Algorithms of Numerical Mathematics /17./ Event date 08.06.2014-13.06.2014 VEvent location Dolní Maxov Country CZ - Czech Republic Event type CST Language eng - English Country CZ - Czech Republic Keywords parameter estimation ; fluorescence recovery after photobleaching ; diffusion equation ; Moullineaux method ; Fisher information matrix ; sensitivity analysis ; confidence intervals ; uncertainty quantification Subject RIV BA - General Mathematics Institutional support UIVT-O - RVO:67985807 UT WOS 000380564700023 Annotation 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. Workplace Institute of Computer Science Contact Tereza Šírová, sirova@cs.cas.cz, Tel.: 266 053 800 Year of Publishing 2016 Electronic address http://dml.cz/handle/10338.dmlcz/702679
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