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Open Access. Powered by Scholars. Published by Universities.®

Brigham Young University

2021

Stochastic process

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Full-Text Articles in Physical Sciences and Mathematics

Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen Feb 2021

Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen

Theses and Dissertations

One of the characteristics that distinguishes living things from non-living things is motility. On the cellular level, the motility or non-motility of different types of cells can be life building, life-saving or life-threatening. A thorough study of cell motion is needed to help understand the underlying mechanisms that enhance or prohibit cell motion. We introduce a discrete centroid model of cell motion in the context of a generalized random walk. We find an approximation for the theoretical mean square displacement (MSD) that uses a subset of the state space to estimate the MSD for the entire space. We give some …


Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen Feb 2021

Mean Square Displacement For A Discrete Centroid Model Of Cell Motion And A Mathematical Analysis Of Focal Adhesion Lifetimes And Their Effect On Cell Motility, Mary Ellen Furner Rosen

Theses and Dissertations

One of the characteristics that distinguishes living things from non-living things is motility. On the cellular level, the motility or non-motility of different types of cells can be life building, life-saving or life-threatening. A thorough study of cell motion is needed to help understand the underlying mechanisms that enhance or prohibit cell motion. We introduce a discrete centroid model of cell motion in the context of a generalized random walk. We find an approximation for the theoretical mean square displacement (MSD) that uses a subset of the state space to estimate the MSD for the entire space. We give some …