Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers
Abstract Bayesian inference is a conscientious statistical method which is successfully used in many branches of physics and engineering. Compared to conventional approaches, it makes highly efficient use of information hidden in a measured quantity by predicting the distribution of future data poin...
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Nature Portfolio
2021
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oai:doaj.org-article:12d0a9df6999486f9b7e213cf892e78e2021-12-02T11:50:31ZBayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers10.1038/s41598-021-81094-x2045-2322https://doaj.org/article/12d0a9df6999486f9b7e213cf892e78e2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-81094-xhttps://doaj.org/toc/2045-2322Abstract Bayesian inference is a conscientious statistical method which is successfully used in many branches of physics and engineering. Compared to conventional approaches, it makes highly efficient use of information hidden in a measured quantity by predicting the distribution of future data points based on posterior information. Here we apply this method to determine the stress-relaxation time and the solvent and polymer contributions to the frequency dependent viscosity of a viscoelastic Jeffrey’s fluid by the analysis of the measured trajectory of an optically trapped Brownian particle. When comparing the results to those obtained from the auto-correlation function, mean-squared displacement or the power spectrum, we find Bayesian inference to be much more accurate and less affected by systematic errors.Shuvojit PaulN NarinderAyan BanerjeeK Rajesh NayakJakob SteindlClemens BechingerNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-11 (2021) |
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Medicine R Science Q Shuvojit Paul N Narinder Ayan Banerjee K Rajesh Nayak Jakob Steindl Clemens Bechinger Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
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Abstract Bayesian inference is a conscientious statistical method which is successfully used in many branches of physics and engineering. Compared to conventional approaches, it makes highly efficient use of information hidden in a measured quantity by predicting the distribution of future data points based on posterior information. Here we apply this method to determine the stress-relaxation time and the solvent and polymer contributions to the frequency dependent viscosity of a viscoelastic Jeffrey’s fluid by the analysis of the measured trajectory of an optically trapped Brownian particle. When comparing the results to those obtained from the auto-correlation function, mean-squared displacement or the power spectrum, we find Bayesian inference to be much more accurate and less affected by systematic errors. |
format |
article |
author |
Shuvojit Paul N Narinder Ayan Banerjee K Rajesh Nayak Jakob Steindl Clemens Bechinger |
author_facet |
Shuvojit Paul N Narinder Ayan Banerjee K Rajesh Nayak Jakob Steindl Clemens Bechinger |
author_sort |
Shuvojit Paul |
title |
Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
title_short |
Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
title_full |
Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
title_fullStr |
Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
title_full_unstemmed |
Bayesian inference of the viscoelastic properties of a Jeffrey’s fluid using optical tweezers |
title_sort |
bayesian inference of the viscoelastic properties of a jeffrey’s fluid using optical tweezers |
publisher |
Nature Portfolio |
publishDate |
2021 |
url |
https://doaj.org/article/12d0a9df6999486f9b7e213cf892e78e |
work_keys_str_mv |
AT shuvojitpaul bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers AT nnarinder bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers AT ayanbanerjee bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers AT krajeshnayak bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers AT jakobsteindl bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers AT clemensbechinger bayesianinferenceoftheviscoelasticpropertiesofajeffreysfluidusingopticaltweezers |
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1718395149269073920 |