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Thereby the filter provides the variance of that estimate and the most consistent direction in which the tractography is to be continued.
Tractography works with the filter first finding the estimates of the model parameters and then propagating in the most consistent direction.
At each point on the fiber an unscented Kalman filter is used to find the most consistent direction as a mixture of previous estimates and of the local model.
An unscented Kalman Filter is used in a loop that estimates the model at the current position, moves one step in the most consistent direction, and then starts estimating again.
At each step, we examine the measured signal, estimate the underlying model parameters, and propagate forward in the most consistent direction, which is the principal diffusion direction most aligned with the incoming vector.
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Last, we use first-order forward Euler integration to move a small step in the most consistent principal diffusion direction, m, which is given as the first column of the rotation matrix Q, see (6).
As Table 2 showes, the effect sizes of most of these loci showed consistent direction across the populations.
Hence, in Experiment 1, we assessed what head (and eye) position resulted in the most consistent and reliable errors in perceived direction for the individual participants by evaluating the effect of varying the angle between the line of sight and the ground plane and the lateral, vertical, and absolute distances between eyes and ball.
If there was more than one main direction, then we chose the one that yielded the most consistent and strongest response across the trials as the main direction for that ROI.
Case-control Δβ values were largest for CpG_10 and neighbouring CpG_9; this was most striking in the discovery pair set, but of consistent direction in the replication pair set (Additional file 1: Table S4).
But the most consistent and productive reforms are the ones that choose a direction and keep pursuing it doggedly.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com