Random motion with gamma-distributed alternating velocities in biological modeling
arXiv:0803.1067
Abstract
Motivated by applications in mathematical biology concerning randomly alternating motion of micro-organisms, we analyze a generalized integrated telegraph process. The random times between consecutive velocity reversals are gamma-distributed, and perform an alternating renewal process. We obtain the probability law and the mean of the process.
9 pages, 2 figures. appeared in: R. Moreno-Diaz et al. (Eds.) EUROCAST 2007, Lecture Notes in Computer Science, Vol. 4739, pp. 163-170, 2007. Springer-Verlag, Berlin, Heidelberg. ISBN: 978-3-540-75866-2