scholarly journals How the number of fitting points for the slope of the mean-square displacement influences the experimentally determined particle size distribution from single-particle tracking

2013 ◽  
Vol 15 (10) ◽  
pp. 3429 ◽  
Author(s):  
Dominique Ernst ◽  
Jürgen Köhler
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Particle Tracking ◽  
Single Particle ◽  
Mean Square Displacement ◽  
Single Particle Tracking ◽  
Mean Square ◽  
The Mean

scholarly journals A simple and powerful analysis of lateral subdiffusion using single particle tracking

2017 ◽  
Author(s):  
Marianne Renner ◽  
Lili Wang ◽  
Sabine Levi ◽  
Laetitia Hennekinne ◽  
Antoine Triller
Keyword(s):  
Particle Tracking ◽  
Lipid Composition ◽  
Mean Square Displacement ◽  
Complex Mixture ◽  
Lateral Diffusion ◽  
Single Particle Tracking ◽  
Mean Square ◽  
The Mean ◽  
Very High ◽  
Lipid Probe

AbstractIn biological membranes many factors such as cytoskeleton, lipid composition, crowding and molecular interactions deviate lateral diffusion from the expected random walks. These factors have different effects on diffusion but act simultaneously so the observed diffusion is a complex mixture of diffusive behaviors (directed, >Brownian, anomalous or confined). Therefore commonly used approaches to quantify diffusion based on averaging of the displacements, such as the mean square displacement, are not adapted to the analysis of this heterogeneity. We introduce a new parameter, the packing coefficient Pc, which gives an estimate of the degree of free movement that a molecule displays in a period of time independently of its global diffusivity. Applying this approach to two different situations (diffusion of a lipid probe and trapping of receptors at synapses), we show that Pc detected and localized temporary changes of diffusive behavior both in time and in space. More importantly, it allowed the detection of periods with very high confinement (~immobility), their frequency and duration, and thus it can be used to calculate the effective kon and koff of scaffolding interactions such those that immobilize receptors at synapses.

scholarly journals Guidelines for the Fitting of Anomalous Diffusion Mean Square Displacement Graphs from Single Particle Tracking Experiments

PLoS ONE ◽  
2015 ◽  
Vol 10 (2) ◽  
pp. e0117722 ◽  
Author(s):  
Eldad Kepten ◽  
Aleksander Weron ◽  
Grzegorz Sikora ◽  
Krzysztof Burnecki ◽  
Yuval Garini
Keyword(s):  
Particle Tracking ◽  
Anomalous Diffusion ◽  
Single Particle ◽  
Mean Square Displacement ◽  
Single Particle Tracking ◽  
Mean Square

Batch Precipitation of Lead Iodide

1994 ◽  
Vol 59 (6) ◽  
pp. 1301-1304
Author(s):  
Jaroslav Nývlt ◽  
Stanislav Žáček
Keyword(s):  
Aqueous Solution ◽  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Crystal Size ◽  
Lead Nitrate ◽  
Lead Iodide ◽  
Constant Rate ◽  
Mean Size ◽  
The Mean

Lead iodide was precipitated by a procedure in which an aqueous solution of potassium iodide at a concentration of 0.03, 0.10 or 0.20 mol l-1 was stirred while an aqueous solution of lead nitrate at one-half concentration was added at a constant rate. The mean size of the PbI2 crystals was determined by evaluating the particle size distribution, which was measured sedimentometrically. The dependence of the mean crystal size on the duration of the experiment exhibited a minimum for any of the concentrations applied. The reason for this is discussed.

scholarly journals MINERAL ABUNDANCE AND PARTICLE SIZE DISTRIBUTION DERIVED FROM IN-SITU SPECTRA MEASUREMENTS OF YUTU ROVER OF CHANG’E-3

2017 ◽  
Vol XLII-3/W1 ◽  
pp. 85-89
Author(s):  
H. Lin ◽  
X. Zhang ◽  
Y. Yang ◽  
X. Wu ◽  
D. Guo
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Landing Site ◽  
Radiative Transfer Model ◽  
Transfer Model ◽  
Particle Sizes ◽  
The Mean ◽  
The Difference ◽  
Yutu Rover

From geologic perspective, understanding the types, abundance, and size distributions of minerals allows us to address what geologic processes have been active on the lunar and planetary surface. The imaging spectrometer which was carried by the Yutu Rover of Chinese Chang’E-3 mission collected the reflectance at four different sites at the height of ~ 1 m, providing a new insight to understand the lunar surface. The mineral composition and Particle Size Distribution (PSD) of these four sites were derived in this study using a Radiative Transfer Model (RTM) and Sparse Unmixing (SU) algorithm. The endmembers used were clinopyroxene, orthopyroxene, olivine, plagioclase and agglutinate collected from the lunar sample spectral dataset in RELAB. The results show that the agglutinate, clinopyroxene and olivine are the dominant minerals around the landing site. In location Node E, the abundance of agglutinate can reach up to 70 %, and the abundances of clinopyroxene and olivine are around 10 %. The mean particle sizes and the deviations of these endmembers were retrieved. PSDs of all these endmembers are close to normal distribution, and differences exist in the mean particle sizes, indicating the difference of space weathering rate of these endmembers.

Analysis of the Mean Diameters and Particle-Size Distribution in Powders

2010 ◽  
Vol 27 (5-6) ◽  
pp. 158-164 ◽  
Author(s):  
Pedro González-Tello ◽  
Fernando Camacho ◽  
José. M. Vicaria ◽  
Pedro A. González
Keyword(s):  
Particle Size ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
The Mean

Particle tracking in living cells: a review of the mean square displacement method and beyond

2013 ◽  
Vol 52 (5) ◽  
pp. 425-443 ◽  
Author(s):  
Naama Gal ◽  
Diana Lechtman-Goldstein ◽  
Daphne Weihs
Keyword(s):  
Particle Tracking ◽  
Mean Square Displacement ◽  
Living Cells ◽  
Mean Square ◽  
Displacement Method ◽  
The Mean
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