Dataset Information

Mean square displacement for a discrete centroid model of cell motion.

ABSTRACT: The mean square displacement (MSD) is an important statistical measure on a stochastic process or a trajectory. In this paper we find an approximation to the mean square displacement for a model of cell motion. The model is a discrete-time jump process which approximates a force-based model for cell motion. In cell motion, the mean square displacement not only gives a measure of overall drift, but it is also an indicator of mode of transport. The key to finding the approximation is to find the mean square displacement for a subset of the state space and use it as an approximation for the entire state space. We give some intuition as to why this is an unexpectedly good approximation. A lower bound and upper bound for the mean square displacement are also given. We show that, although the upper bound is far from the computed mean square displacement, in rare cases the large displacements are approached.

SUBMITTER: Rosen ME

PROVIDER: S-EPMC8687545 | biostudies-literature | 2021

REPOSITORIES: biostudies-literature

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Mean square displacement for a discrete centroid model of cell motion.

Rosen Mary Ellen ME Grant Christopher P CP Dallon J C JC

PloS one 20211220 12

The mean square displacement (MSD) is an important statistical measure on a stochastic process or a trajectory. In this paper we find an approximation to the mean square displacement for a model of cell motion. The model is a discrete-time jump process which approximates a force-based model for cell motion. In cell motion, the mean square displacement not only gives a measure of overall drift, but it is also an indicator of mode of transport. The key to finding the approximation is to find the m ...[more]

PMID: 34928985

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Dataset Information

Mean square displacement for a discrete centroid model of cell motion.

Publications

Mean square displacement for a discrete centroid model of cell motion.

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