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...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Nature Portfolio
2017-07-01
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| Series: | Scientific Reports |
| Online Access: | https://doi.org/10.1038/s41598-017-04557-0 |
| _version_ | 1818343931199356928 |
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| 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 |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-13T16:38:25Z |
| format | Article |
| id | doaj.art-68503201c743461d993b476447a3a989 |
| institution | Directory Open Access Journal |
| issn | 2045-2322 |
| language | English |
| last_indexed | 2024-12-13T16:38:25Z |
| publishDate | 2017-07-01 |
| publisher | Nature Portfolio |
| record_format | Article |
| series | Scientific Reports |
| spelling | doaj.art-68503201c743461d993b476447a3a9892022-12-21T23:38:20ZengNature PortfolioScientific Reports2045-23222017-07-017111110.1038/s41598-017-04557-0Stochastic analysis of time series for the spatial positions of particles trapped in optical tweezersS. M. Mousavi0S. N. Seyed Reihani1G. Anvari2M. Anvari3H. G. Alinezhad4M. Reza Rahimi Tabar5Department of Physics, Sharif University of TechnologyDepartment of Physics, Sharif University of TechnologyDepartment of Bioengineering, Temple UniversityInstitute of Physics and ForWind, Carl von Ossietzky University of OldenburgDepartment of Physics, Sharif University of TechnologyDepartment of Physics, Sharif University of TechnologyAbstract 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.https://doi.org/10.1038/s41598-017-04557-0 |
| spellingShingle | 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 Scientific Reports |
| title | 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_short | 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 |
| url | https://doi.org/10.1038/s41598-017-04557-0 |
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