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

fYear

2005

fDate

16-18 Aug. 2005

Firstpage

68

Lastpage

73

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Multimedia Applications, 2005. Sixth International Conference on

Print_ISBN

0-7695-2358-7

Type

conf

DOI

10.1109/ICCIMA.2005.41

Filename

1540705