Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers

Abstract We propose a nonlinear method for the analysis of the time series for the spatial position of a bead trapped in optical tweezers, which enables us to reconstruct its dynamical equation of motion. The main advantage of the method is that all the functions and parameters of the dynamics are d...

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Autores principales:	S. M. Mousavi, S. N. Seyed Reihani, G. Anvari, M. Anvari, H. G. Alinezhad, M. Reza Rahimi Tabar
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2017
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/68503201c743461d993b476447a3a989
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spelling	oai:doaj.org-article:68503201c743461d993b476447a3a9892021-12-02T15:06:18ZStochastic analysis of time series for the spatial positions of particles trapped in optical tweezers10.1038/s41598-017-04557-02045-2322https://doaj.org/article/68503201c743461d993b476447a3a9892017-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-017-04557-0https://doaj.org/toc/2045-2322Abstract We propose a nonlinear method for the analysis of the time series for the spatial position of a bead trapped in optical tweezers, which enables us to reconstruct its dynamical equation of motion. The main advantage of the method is that all the functions and parameters of the dynamics are determined directly (non-parametrically) from the measured series. It also allows us to determine, for the first time to our knowledge, the spatial-dependence of the diffusion coefficient of a bead in an optical trap, and to demonstrate that it is not in general constant. This is in contrast with the main assumption of the popularly-used power spectrum calibration method. The proposed method is validated via synthetic time series for the bead position with spatially-varying diffusion coefficients. Our detailed analysis of the measured time series reveals that the power spectrum analysis overestimates considerably the force constant.S. M. MousaviS. N. Seyed ReihaniG. AnvariM. AnvariH. G. AlinezhadM. Reza Rahimi TabarNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 7, Iss 1, Pp 1-11 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q S. M. Mousavi S. N. Seyed Reihani G. Anvari M. Anvari H. G. Alinezhad M. Reza Rahimi Tabar Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
description	Abstract We propose a nonlinear method for the analysis of the time series for the spatial position of a bead trapped in optical tweezers, which enables us to reconstruct its dynamical equation of motion. The main advantage of the method is that all the functions and parameters of the dynamics are determined directly (non-parametrically) from the measured series. It also allows us to determine, for the first time to our knowledge, the spatial-dependence of the diffusion coefficient of a bead in an optical trap, and to demonstrate that it is not in general constant. This is in contrast with the main assumption of the popularly-used power spectrum calibration method. The proposed method is validated via synthetic time series for the bead position with spatially-varying diffusion coefficients. Our detailed analysis of the measured time series reveals that the power spectrum analysis overestimates considerably the force constant.
format	article
author	S. M. Mousavi S. N. Seyed Reihani G. Anvari M. Anvari H. G. Alinezhad M. Reza Rahimi Tabar
author_facet	S. M. Mousavi S. N. Seyed Reihani G. Anvari M. Anvari H. G. Alinezhad M. Reza Rahimi Tabar
author_sort	S. M. Mousavi
title	Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
title_short	Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
title_full	Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
title_fullStr	Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
title_full_unstemmed	Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
title_sort	stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers
publisher	Nature Portfolio
publishDate	2017
url	https://doaj.org/article/68503201c743461d993b476447a3a989
work_keys_str_mv	AT smmousavi stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers AT snseyedreihani stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers AT ganvari stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers AT manvari stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers AT hgalinezhad stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers AT mrezarahimitabar stochasticanalysisoftimeseriesforthespatialpositionsofparticlestrappedinopticaltweezers
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Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezers

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