Article (Scientific journals)
A mathematical model of actin filament turnover for fitting FRAP data
Halavatyi, A. A.; Nazarov, P. V.; Al Tanoury, Z. et al.
2010In European Biophysics Journal, 39 (4), p. 669-677
Peer reviewed
 

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Keywords :
Actin; Filament; FRAP; Mathematical model; Polymerisation; Diffusion; Fluorescence Recovery After Photobleaching; Kinetics; Linear Models; Microfilaments; Models, Biological; Nonlinear Dynamics; Protein Multimerization; Protein Structure, Quaternary
Abstract :
[en] A novel mathematical model of the actin dynamics in living cells under steady-state conditions has been developed for fluorescence recovery after photobleaching (FRAP) experiments. As opposed to other FRAP fitting models, which use the average lifetime of actins in filaments and the actin turnover rate as fitting parameters, our model operates with unbiased actin association/dissociation rate constants and accounts for the filament length. The mathematical formalism is based on a system of stochastic differential equations. The derived equations were validated on synthetic theoretical data generated by a stochastic simulation algorithm adapted for the simulation of FRAP experiments. Consistent with experimental findings, the results of this work showed that (1) fluorescence recovery is a function of the average filament length, (2) the F-actin turnover and the FRAP are accelerated in the presence of actin nucleating proteins, (3) the FRAP curves may exhibit both a linear and non-linear behaviour depending on the parameters of actin polymerisation, and (4) our model resulted in more accurate parameter estimations of actin dynamics as compared with other FRAP fitting models. Additionally, we provide a computational tool that integrates the model and that can be used for interpretation of FRAP data on actin cytoskeleton. © 2009 European Biophysical Societies' Association.
Disciplines :
Biochemistry, biophysics & molecular biology
Author, co-author :
Halavatyi, A. A.;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Life Science Research Unit
Nazarov, P. V.;  Microarray Center, Centre de Recherche Public Santé, 84, Rue Val Fleuri, Luxembourg 1526, Luxembourg
Al Tanoury, Z.;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Life Science Research Unit
Apanasovich, V. V.;  Department of Systems Analysis, Belarusian State University, 4 Nezavisimosti Avenue, Minsk 220030, Belarus
Yatskou, M.;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Life Science Research Unit
FRIEDERICH, Evelyne ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Life Science Research Unit
Language :
English
Title :
A mathematical model of actin filament turnover for fitting FRAP data
Publication date :
2010
Journal title :
European Biophysics Journal
ISSN :
0175-7571
Publisher :
Springer Verlag, Berlin, Germany
Volume :
39
Issue :
4
Pages :
669-677
Peer reviewed :
Peer reviewed
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