“where we assume without loss of generality that . The track length between time points and can be represented as(10)in terms of the displacement vector that refers to subsequent time points and . The staggered confinement ratio is then defined as the ratio of these two quantities,(11)
Viewing as entries of the matrix , we note that this matrix is symmetric because both the displacement vector and the track-segment length are invariant under the time reversal operation such that . Furthermore, the diagonal elements of take values because for all . In general, , since”
Citation: The PLOS ONE Staff (2014) Correction: Automated Characterization and Parameter-Free Classification of Cell Tracks Based on Local Migration Behavior. PLoS ONE 9(12): e115158. https://doi.org/10.1371/journal.pone.0115158
Published: December 4, 2014
Copyright: © 2014 The PLOS ONE Staff. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.