On two methods for the parameter estimation problem with spatio-temporal FRAP data

Papáček, Štěpán, Jablonský, Jiří, and Matonoha, Ctirad. "On two methods for the parameter estimation problem with spatio-temporal FRAP data." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics AS CR, 2015. 163-168. <http://eudml.org/doc/269903>.

@inProceedings{Papáček2015,
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.},
author = {Papáček, Štěpán, Jablonský, Jiří, Matonoha, Ctirad},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {parameter estimation; fluorescence recovery after photobleaching; diffusion equation; Moullineaux method; Fisher information matrix; sensitivity analysis; confidence intervals; uncertainty quantification},
location = {Prague},
pages = {163-168},
publisher = {Institute of Mathematics AS CR},
title = {On two methods for the parameter estimation problem with spatio-temporal FRAP data},
url = {http://eudml.org/doc/269903},
year = {2015},
}

TY - CLSWK
AU - Papáček, Štěpán
AU - Jablonský, Jiří
AU - Matonoha, Ctirad
TI - On two methods for the parameter estimation problem with spatio-temporal FRAP data
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2015
CY - Prague
PB - Institute of Mathematics AS CR
SP - 163
EP - 168
AB - 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.
KW - parameter estimation; fluorescence recovery after photobleaching; diffusion equation; Moullineaux method; Fisher information matrix; sensitivity analysis; confidence intervals; uncertainty quantification
UR - http://eudml.org/doc/269903
ER -