A mathematical model of actin filament turnover for fitting FRAP data.

European Biophysics Journal : EBJ
Aliaksandr A HalavatyiEvelyne Friederich

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 inte...Continue Reading

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Citations

Jun 19, 2014·Molecular and Cellular Neurosciences·Mikko KoskinenPirta Hotulainen
Aug 21, 2014·Frontiers in Neuroanatomy·Mikko Koskinen, Pirta Hotulainen
Jun 21, 2016·Nature Plants·Yamato YoshidaKatherine W Osteryoung
Sep 17, 2019·Cytoskeleton·Qin Ni, Garegin A Papoian
Oct 26, 2018·Frontiers in Immunology·Marjolein B M MeddensAlessandra Cambi

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