The exact probability distribution of a two-dimensional random walk
作者： W. Stadje
DOI: 10.1007/BF01010341
关键词:
摘要: A calculation is made of the exact probability distribution two-dimensional displacement a particle at timet that starts origin, moves in straight-line paths constant speed, and changes its direction after exponentially distributed time intervals, where lengths turn angles are independent, being uniformly distributed. This random walk simplest model for locomotion microorganisms on surfaces. Its weak convergence to Wiener process also shown.
springer.com
harvard.edu
sci-hub.se 参考文章(14)
Stephen C. Peterson, Peter B. Noble, A Two-Dimensional Random-Walk Analysis of Human Granulocyte Movement Biophysical Journal. ,vol. 12, pp. 1048- 1055 ,(1972) , 10.1016/S0006-3495(72)86142-3
Mitchell H. Gail, Charles W. Boone, The Locomotion of Mouse Fibroblasts in Tissue Culture Biophysical Journal. ,vol. 10, pp. 980- 993 ,(1970) , 10.1016/S0006-3495(70)86347-0
Sidney C. Port, Charles Joel Stone, Paul Gerhard Hoel, Introduction to Probability Theory ,(1972)
R.L. Hall, S.C. Peterson, Trajectories of human granulocytes. Biophysical Journal. ,vol. 25, pp. 365- 372 ,(1979) , 10.1016/S0006-3495(79)85298-4
Ralph J. Nossal, George H. Weiss, A generalized Pearson random walk allowing for bias Journal of Statistical Physics. ,vol. 10, pp. 245- 253 ,(1974) , 10.1007/BF01016179
P. A. P. Moran, An introduction to probability theory ,(1968)
Ralph Nossal, George H. Weiss, A descriptive theory of cell migration on surfaces. Journal of Theoretical Biology. ,vol. 47, pp. 103- 113 ,(1974) , 10.1016/0022-5193(74)90101-5
HOWARD C. BERG, DOUGLAS A. BROWN, Chemotaxis in Escherichia coli analysed by Three-dimensional Tracking Nature. ,vol. 239, pp. 500- 504 ,(1972) , 10.1038/239500A0
Calyampudi Radhakrishna Rao, Linear statistical inference and its applications ,(1965)
William Feller, An introduction to probability theory and its applications ,(1950)