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. 2015 Jun 10;31(12):i320–i328. doi: 10.1093/bioinformatics/btv225

Table 2.

Cell trajectory features and their formulas

Particle motion features
Diffusion coefficient According to Sbalzarini and Koumoutsakos (2005)
Diffusion adequation Correlation between MSD(t) and t
Movement type According to Sbalzarini and Koumoutsakos (2005)
Englobing ball number See text
Track entropy See text
Other global features
Convex hull area
Effective path length L=||mTm1||2
Effective speed L/T
Largest move
Straightness index TL/P
Track curvature See text
Averaged local features
Mean squared displacement (MSD) 1T1||mtmt1||22
Mean signed turning angle arctan(Σsin(αt+1αt)Σcos(αt+1αt))

Note: Notations: (mt)t=1T, time sequence of cell 2D positions; T, track time duration; P, total track length.