Asymptotic normality in a two-dimensional random walk model for cell motility

Journal Article · Sun May 01 00:00:00 EDT 1988 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01028475· OSTI ID:6313849

Stadje, W

We prove the asymptotic normality of a two-dimensional random walk describing the locomotion of cells on planar surfaces and calculate the asymptotic covariance matrix. The trajectories of the walk are random broken lines covered with constant speed, where the time intervals between turns as well as the turn angles are random and stochastically independent.

• Research Organization: Universitaet Osnabrueck (West Germany)
• OSTI ID: 6313849
• Journal Information: J. Stat. Phys.; (United States), Vol. 51:3-4
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
MICROORGANISMS
TRANSPORT THEORY
ASYMPTOTIC SOLUTIONS
MATRICES
PROBABILITY
RANDOMNESS
STATISTICAL MECHANICS
STATISTICAL MODELS
STOCHASTIC PROCESSES
TRAJECTORIES
TWO-DIMENSIONAL CALCULATIONS
MATHEMATICAL MODELS
MECHANICS
657002* - Theoretical & Mathematical Physics- Classical & Quantum Mechanics