scholarly journals A Practical Guide to Analyzing and Reporting the Movement of Nanoscale Swimmers

2021 ◽  
Author(s):  
Wei Wang ◽  
Thomas Mallouk
Keyword(s):  
Brownian Motion ◽  
Data Analysis ◽  
Best Practices ◽  
General Public ◽  
Experimental Designs ◽  
Practical Guide ◽  
Widespread Interest

The recent invention of nanoswimmers– synthetic, powered objects with characteristic lengths in the range of 10-500 nm - has sparked widespread interest among scientists and the general public. As more researchers from different backgrounds enter the field, the study of nanoswimmers offers new opportunities but also significant experimental and theoretical challenges. In particular, the accurate characterization of nanoswimmers is often hindered by strong Brownian motion, convective effects, and the lack of a clear way to visualize them. When coupled with improper experimental designs and imprecise practices in data analysis, these issues can translate to results and conclusions that are inconsistent and poorly reproducible. This Perspective follows the course of a typical nanoswimmer investigation from synthesis through to applications and offers suggestions for best practices in reporting experimental details, recording videos, plotting trajectories, calculating and analyzing mobility, eliminating drift, and performing control experiments, in order to improve the reliability of the reported results.

scholarly journals A Practical Guide to Analyzing and Reporting the Movement of Nanoscale Swimmers

2021 ◽  
Author(s):  
Wei Wang ◽  
Thomas Mallouk
Keyword(s):  
Brownian Motion ◽  
Data Analysis ◽  
Experimental Design ◽  
Best Practices ◽  
General Public ◽  
Practical Guide ◽  
Mean Squared Displacement ◽  
Widespread Interest

The recent invention of nanoswimmers– synthetic, powered objects with characteristic lengths in the range of 10-500 nm - has sparked widespread interest among scientists and the general public. As more researchers from different backgrounds enter the field, the study of nanoswimmers gains new opportunities but also significant experimental and theoretical challenges. In particulr, the accurate characterization of nanoswimmers is often hindered by strong Brownian motion and the lack of a clear way to visualize them. When coupled with improper experimental design and imprecise practices in data analysis, these issues can translate to results and conclusions that are inconsistent and poorly reproducible. In light of the increasing popularity of nanoswimmer research and its challenges, we here offer suggestions of best practices for reporting and analyzing their movement. A particular emphasis is on the calculation and analysis of mean squared displacement, the key method for quantifying the mobility of a nanoswimmer. When applied carefully and systematically, the suggested practices can significantly improve the reliability of analyses and prevent embarrassing mistakes

Before You Begin (aka Thoughts on Proper Data Analysis)

2021 ◽  
pp. 37-48
Author(s):  
Justin C. Touchon
Keyword(s):  
Data Analysis ◽  
Experimental Design ◽  
Best Practices ◽  
Life Sciences ◽  
Experimental Designs

Chapter 2 is perhaps the most important in the whole book, in that it is a discussion of essential principles of experimental design and data analysis that are universal to every field in the life sciences. The merits of different experimental designs are discussed as well as best practices for data analysis.

Water Tunnel to test and characterization of experimental designs of Hydrokinetics Turbines

2018 ◽  
Vol 1 (6) ◽  
Author(s):  
Eduardo Alvarez-Alvarez ◽  
Aitor Fernandez-Jimenez ◽  
Manuel Rico-Secades ◽  
Antonio Javier Calleja-Rodriguez ◽  
Joaquin Fernandez-Francos ◽  
...  
Keyword(s):  
Experimental Designs ◽  
Water Tunnel

Multiple particle tracking

2018 ◽  
Author(s):  
Eric M. Furst ◽  
Todd M. Squires
Keyword(s):  
Brownian Motion ◽  
Best Practices ◽  
Particle Tracking ◽  
Heterogeneous Material ◽  
Quantitative Measurements ◽  
Particle Tracking Microrheology ◽  
Shell Models ◽  
Multiple Particle Tracking ◽  
Microscopy Data ◽  
Multiple Particle

The fundamentals and best practices of multiple particle tracking microrheology are discussed, including methods for producing video microscopy data, analyzing data to obtain mean-squared displacements and displacement correlations, and, critically, the accuracy and errors (static and dynamic) associated with particle tracking. Applications presented include two-point microrheology, methods for characterizing heterogeneous material rheology, and shell models of local (non-continuum) heterogeneity. Particle tracking has a long history. The earliest descriptions of Brownian motion relied on precise observations, and later quantitative measurements, using light microscopy.

Characterization of the chemical composition (mineral, lead and centesimal) in pine nut (Araucaria angustifolia (Bertol.) Kuntze) using exploratory data analysis

2021 ◽  
pp. 130672
Author(s):  
Emmanuelle Ferreira Requião Silva ◽  
Bruna Rosa da Silva Santos ◽  
Lucas Almir Cavalcante Minho ◽  
Geovani Cardoso Brandão ◽  
Márcio de Jesus Silva ◽  
...  
Keyword(s):  
Data Analysis ◽  
Chemical Composition ◽  
Exploratory Data Analysis ◽  
Araucaria Angustifolia ◽  
Pine Nut ◽  
Exploratory Data

scholarly journals Infinite dimensional rotations and Laplacians in terms of white noise calculus

1992 ◽  
Vol 128 ◽  
pp. 65-93 ◽  
Author(s):  
Takeyuki Hida ◽  
Nobuaki Obata ◽  
Kimiaki Saitô
Keyword(s):  
Brownian Motion ◽  
White Noise ◽  
Quantum Physics ◽  
Variational Calculus ◽  
Rotation Group ◽  
Infinite Dimensional ◽  
Lévy Laplacian ◽  
White Noise Functionals ◽  
White Noise Calculus

The theory of generalized white noise functionals (white noise calculus) initiated in [2] has been considerably developed in recent years, in particular, toward applications to quantum physics, see e.g. [5], [7] and references cited therein. On the other hand, since H. Yoshizawa [4], [23] discussed an infinite dimensional rotation group to broaden the scope of an investigation of Brownian motion, there have been some attempts to introduce an idea of group theory into the white noise calculus. For example, conformal invariance of Brownian motion with multidimensional parameter space [6], variational calculus of white noise functionals [14], characterization of the Levy Laplacian [17] and so on.

Arthur Benjamin's Piano Concerto

Tempo ◽  
1952 ◽  
pp. 19-21
Author(s):  
John Cowan
Keyword(s):  
General Public ◽  
New Work ◽  
Musical Form ◽  
Piano Concerto ◽  
Widespread Interest

The solo concerto, and in particular the piano concerto, is still the most popular musical form amongst the general public to-day. Therefore the appearance of a new work of this variety by a well-known composer is inevitably a matter of widespread interest.

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