Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments
Single particle tracking is an essential tool in the study of complex systems and biophysics and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the diffusive trajectories. However, past work has shown that MSDs are susceptible to significant errors and biases, prevent...
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| Veröffentlicht in: | PloS one 2015-02, Vol.10 (2), p.e0117722-e0117722 |
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| creator | Kepten, Eldad Weron, Aleksander Sikora, Grzegorz Burnecki, Krzysztof Garini, Yuval |
| description | Single particle tracking is an essential tool in the study of complex systems and biophysics and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the diffusive trajectories. However, past work has shown that MSDs are susceptible to significant errors and biases, preventing the comparison and assessment of experimental studies. Here, we attempt to extract practical guidelines for the estimation of anomalous time averaged MSDs through the simulation of multiple scenarios with fractional Brownian motion as a representative of a large class of fractional ergodic processes. We extract the precision and accuracy of the fitted MSD for various anomalous exponents and measurement errors with respect to measurement length and maximum time lags. Based on the calculated precision maps, we present guidelines to improve accuracy in single particle studies. Importantly, we find that in some experimental conditions, the time averaged MSD should not be used as an estimator. |
| doi_str_mv | 10.1371/journal.pone.0117722 |
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However, past work has shown that MSDs are susceptible to significant errors and biases, preventing the comparison and assessment of experimental studies. Here, we attempt to extract practical guidelines for the estimation of anomalous time averaged MSDs through the simulation of multiple scenarios with fractional Brownian motion as a representative of a large class of fractional ergodic processes. We extract the precision and accuracy of the fitted MSD for various anomalous exponents and measurement errors with respect to measurement length and maximum time lags. Based on the calculated precision maps, we present guidelines to improve accuracy in single particle studies. 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This is an open access article distributed under the terms of the Creative Commons Attribution License: http://creativecommons.org/licenses/by/4.0/ (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.</rights><rights>2015 Kepten et al 2015 Kepten et al</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c692t-583cc39e58227db1bd5d48cba5d36a7e69608bb58cd523a60596ba1f0926d1733</citedby><cites>FETCH-LOGICAL-c692t-583cc39e58227db1bd5d48cba5d36a7e69608bb58cd523a60596ba1f0926d1733</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4334513/pdf/$$EPDF$$P50$$Gpubmedcentral$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://www.ncbi.nlm.nih.gov/pmc/articles/PMC4334513/$$EHTML$$P50$$Gpubmedcentral$$Hfree_for_read</linktohtml><link.rule.ids>230,314,727,780,784,864,885,2100,2926,23865,27923,27924,53790,53792,79371,79372</link.rule.ids><backlink>$$Uhttps://www.ncbi.nlm.nih.gov/pubmed/25680069$$D View this record in MEDLINE/PubMed$$Hfree_for_read</backlink></links><search><contributor>Levy, Yaakov Koby</contributor><creatorcontrib>Kepten, Eldad</creatorcontrib><creatorcontrib>Weron, Aleksander</creatorcontrib><creatorcontrib>Sikora, Grzegorz</creatorcontrib><creatorcontrib>Burnecki, Krzysztof</creatorcontrib><creatorcontrib>Garini, Yuval</creatorcontrib><title>Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments</title><title>PloS one</title><addtitle>PLoS One</addtitle><description>Single particle tracking is an essential tool in the study of complex systems and biophysics and it is commonly analyzed by the time-averaged mean square displacement (MSD) of the diffusive trajectories. However, past work has shown that MSDs are susceptible to significant errors and biases, preventing the comparison and assessment of experimental studies. Here, we attempt to extract practical guidelines for the estimation of anomalous time averaged MSDs through the simulation of multiple scenarios with fractional Brownian motion as a representative of a large class of fractional ergodic processes. We extract the precision and accuracy of the fitted MSD for various anomalous exponents and measurement errors with respect to measurement length and maximum time lags. Based on the calculated precision maps, we present guidelines to improve accuracy in single particle studies. 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| subjects | Algorithms Biophysics Brownian motion Brownian movements Complex systems Computer science Economic models Ergodic processes Guidelines Mathematics Models, Theoretical Nanotechnology Normal distribution Particle tracking Physics Statistical mechanics Stochastic models |
| title | Guidelines for the fitting of anomalous diffusion mean square displacement graphs from single particle tracking experiments |
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