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Only cells with track durations >140 s and track displacement lengths >13 μm were analysed in order to exclude immobile cells.
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Power functions are demonstrated to adequately describe the relation between TEU capacity and dimensions like displacement, length, draught, and breadth.
Displacement length shows the shortest path between the starting and the end point of a tracked cell.
For the analysis of migration properties of tracked cells, we picked 4 parameters: track length, displacement length, maximum speed and straightness.
Some of the migration parameters analyzed in Figure 2B (mainly "displacement length" or "straightness") already allow to indirectly assess whether the directionality of migration is affected.
The thresholds for transport events in either anterograde or retrograde direction were considered at a minimum displacement length of ≥5 µm and if the mitochondria were tractable for a minimum of 3.5 min (1/3 of total imaging length).
Time-lapse recordings were analyzed by creating kymographs for a single neurite with the time and displacement length of mitochondria using the ImageJ 1.47f software and Multiple Kymograph plugin.
Weyl showed that this additional structure is provided by the length connection or gauge field \(A_{j}\) that governs the congruent displacement of lengths.
Fussell said four factors largely determined an individual's mental health outcomes in the years following Hurricane Katrina: length of displacement, number of moves, displacement distance and housing stability.
Data were exported to Excel (Microsoft) and algorithms were used to determine the instantaneous velocity, maximal displacement (distance between the furthest two points along a path of a punctum), total track length and directionality index (ratio of maximal displacement to total track length) for each punctum, as previously described (Potokar et al., 2005).
This definition merely says that a manifold is "length connected" if it admits the process of infinitesimal congruent displacement of length.
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