Title :
On the approximation of Markov chains to determine the probability of extinction of a genotype
Author :
Orman, Gabriel V.
Author_Institution :
Dept. of Math. Anal. & Probability, Brasov Univ., Romania
Abstract :
As it is known a precise definition of the Brownian motion involves a measure on the path space, such that it is possible to put the Brownian motion on a firm mathematical foundation. In this paper we refer to an application of asymptotic theory of stochastic differential equations in mathematical genetics. The construction of the Brownian motion as a limit of a rescaled random walk can be generalized to a class of Markov chains.
Keywords :
Brownian motion; Markov processes; approximation theory; biology; differential equations; probability; stochastic processes; Brownian motion; Markov chains; genotype; mathematical genetics; probability; stochastic differential equation; Atomic measurements; Chemical engineering; Differential equations; Genetics; Kinetic theory; Lyapunov method; Motion measurement; Physics; Probability distribution; Stochastic processes; Brownian motion; Markov chain; binomial distribution; stochastic differential equations; transition probability;
Conference_Titel :
Computational Intelligence and Multimedia Applications, 2005. Sixth International Conference on
Print_ISBN :
0-7695-2358-7
DOI :
10.1109/ICCIMA.2005.41
