Closed-form formulas vs. PDE based numerical solution for the FRAP data processing: Theoretical and practical comparison

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12520%2F17%3A43895285" target="_blank" >RIV/60076658:12520/17:43895285 - isvavai.cz</a>

Alternative codes found

RIV/67985807:_____/17:00473666

Result on the web

<a href="http://www.sciencedirect.com/science/article/pii/S0898122117300767" target="_blank" >http://www.sciencedirect.com/science/article/pii/S0898122117300767</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.camwa.2017.02.010" target="_blank" >10.1016/j.camwa.2017.02.010</a>

Result language

angličtina

Original language name

Closed-form formulas vs. PDE based numerical solution for the FRAP data processing: Theoretical and practical comparison

Original language description

Fluorescence recovery after photobleaching (FRAP) is a widely used method to analyze (usually using fluorescence microscopy) the mobility of either fluorescently tagged or autofluorescent (e.g., photosynthetic) proteins in living cells. The FRAP method resides in imaging the recovery of fluorescence intensity over time in a region of interest previously bleached by a high-intensity laser pulse. While the basic principles of FRAP are simple and the experimental setup is usually fixed, quantitative FRAP data analysis is not well developed. Different models and numerical procedures are used for the underlying model parameter estimation without knowledge of how robust the methods are, i.e., the parameter inference step is not currently well established. In this paper we rigorously formulate the inverse problem of model parameter estimation (including the sensitivity analysis), making possible the comparison of different FRAP parameter inference methods. Then, in a study on simulated data, we focus on how three different methods for inference influence the error in parameter estimation. We demonstrate both theoretically and empirically that our new method based on a solution of a general initial boundary value problem for the Fick diffusion partial differential equation exhibits less bias and narrower confidence intervals of the estimated diffusion parameter, than two closed formula methods.

Czech name

—

Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10103 - Statistics and probability

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2017

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Computers &amp; Mathematics with Applications

ISSN

0898-1221

e-ISSN

—

Volume of the periodical

73

Issue of the periodical within the volume

8

Country of publishing house

GB - UNITED KINGDOM

Number of pages

11

Pages from-to

1673-1683

UT code for WoS article

000400199400003

EID of the result in the Scopus database

2-s2.0-85014215071