Scaling of the mean-squared displacement as a function of time.Sabeeha HasnainChristopher L. McClendonMonica T. HsuMatthew P. JacobsonPradipta Bandyopadhyay
To analyse the performance of the error prediction we use a reliability diagram79,80,81in Fig.3b. The figure depicts the observed root mean squared error (RMSE) from the ground truth exponent as a function of the predicted root mean variance (RMV) (seeSupplementary Informationfor detailed defin...
The purpose of this program is to compute the mean squared displacement (MSD) of a series of equivalent particles that have positions evolving in time. The MSD we calculate is defined as whereqis the three-dimension position vector. It is averaged over all sites,i, and origins of time,t0...
Mean cluster diameters were compared using Mann–Whitney test (p = 0.3152). Tracks of the clusters shown in (a) (left) for PIEZO2 (d) and IDR5del (e) and plots of the Mean-Squared-Displacement as a function of lag time (right) for the 4 track categories. Symbols represent ...
Define mean square. mean square synonyms, mean square pronunciation, mean square translation, English dictionary definition of mean square. n. The average of the squares of a set of numbers. American Heritage® Dictionary of the English Language, Fifth
To determine whether pre-PCs were more processive than naive B cells, we calculated the average mean squared displacement (MSD) for cell tracks over time. As modeled in Figure 3C, the MSD for random walk scales linearly with time, whereas the MSD for confined motion reached a plateau. ...
Anomalous diffusion and power-law relaxation of the time averaged mean squared displacement in worm-like micellar solutions We report the results of single tracer particle tracking by optical tweezers and video microscopy in micellar solutions. From careful analysis in terms of ... JH Jeon,N Leij...
Most of the articles in the field use the mean squared displacement (MSD) function and the number of analyzed tracks per sample is often in the order of tens6,7,8. Although much has been done in the literature on the diffusion of sub-micron particles in complex environments and the ...
its mean-squared displacement (MSD) increases sublinearly over time:\({\rm{MSD}}(t)=2\,d{D}_{\alpha }{t}^{\alpha }\), wheredis the number of dimensions,Dαis the generalized diffusion constant,α < 1 is the anomalous diffusion exponent32,34andtis the time lag. The diffusion...
(R) and the unbiased Root-Mean-Squared difference (ubRMSD) between the in-situ, remotely sensed and modeled SM are satisfactory (R > 0.85, ubRMSD < 0.003). As in the previous analyses, it should be noted that the R metric benefits from the seasonal cycle, which for the period of ...