A mathematical model of actin filament turnover for fitting FRAP data

Aliaksandr A. Halavatyi; Petr V. Nazarov; Ziad Al Tanoury; Vladimir V. Apanasovich; Mikalai Yatskou; Evelyne Friederich

doi:10.1007/s00249-009-0558-2

A mathematical model of actin filament turnover for fitting FRAP data

Aliaksandr A. Halavatyi, Petr V. Nazarov, Ziad Al Tanoury, Vladimir V. Apanasovich, Mikalai Yatskou, Evelyne Friederich^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › Research › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	669-677
Number of pages	9
Journal	European Biophysics Journal
Volume	39
Issue number	4
DOIs	https://doi.org/10.1007/s00249-009-0558-2
Publication status	Published - Mar 2010

Keywords

Actin
FRAP
Filament
Mathematical model
Polymerisation

Access to Document

10.1007/s00249-009-0558-2

Cite this

@article{737d185dab5643cfba65e24ea8ba8cb6,

title = "A mathematical model of actin filament turnover for fitting FRAP data",

abstract = "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.",

keywords = "Actin, FRAP, Filament, Mathematical model, Polymerisation",

author = "Halavatyi, {Aliaksandr A.} and Nazarov, {Petr V.} and {Al Tanoury}, Ziad and Apanasovich, {Vladimir V.} and Mikalai Yatskou and Evelyne Friederich",

note = "Funding Information: Acknowledgments The work was supported by the Human Frontier Science Program Organization (RGP0058/2005). Aliaksandr Hala-vatyi was awarded an exchange grant of the European Science Foundation program {\textquoteleft}{\textquoteleft}Frontiers of Functional Genomics{\textquoteright}{\textquoteright} (Exchange grant 1,500). P.V. Nazarov was awarded a mobility grant of the Fonds National de la Recherche (FNR), Luxembourg. A. Halavatyi and Z. Al Tanoury are supported by a PhD grant of the MCESR and the FNR, Luxembourg.",

year = "2010",

month = mar,

doi = "10.1007/s00249-009-0558-2",

language = "English",

volume = "39",

pages = "669--677",

journal = "European Biophysics Journal",

issn = "0175-7571",

publisher = "Springer Science and Business Media Deutschland GmbH",

number = "4",

}

TY - JOUR

T1 - A mathematical model of actin filament turnover for fitting FRAP data

AU - Halavatyi, Aliaksandr A.

AU - Nazarov, Petr V.

AU - Al Tanoury, Ziad

AU - Apanasovich, Vladimir V.

AU - Yatskou, Mikalai

AU - Friederich, Evelyne

N1 - Funding Information: Acknowledgments The work was supported by the Human Frontier Science Program Organization (RGP0058/2005). Aliaksandr Hala-vatyi was awarded an exchange grant of the European Science Foundation program ‘‘Frontiers of Functional Genomics’’ (Exchange grant 1,500). P.V. Nazarov was awarded a mobility grant of the Fonds National de la Recherche (FNR), Luxembourg. A. Halavatyi and Z. Al Tanoury are supported by a PhD grant of the MCESR and the FNR, Luxembourg.

PY - 2010/3

Y1 - 2010/3

N2 - 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.

AB - 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.

KW - Actin

KW - FRAP

KW - Filament

KW - Mathematical model

KW - Polymerisation

UR - http://www.scopus.com/inward/record.url?scp=77952090634&partnerID=8YFLogxK

U2 - 10.1007/s00249-009-0558-2

DO - 10.1007/s00249-009-0558-2

M3 - Article

C2 - 19921173

AN - SCOPUS:77952090634

SN - 0175-7571

VL - 39

SP - 669

EP - 677

JO - European Biophysics Journal

JF - European Biophysics Journal

IS - 4

ER -

A mathematical model of actin filament turnover for fitting FRAP data

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this