Parameter Estimation of Kinetic Rates in Stochastic Reaction Networks by the EM Method

Author

Horvath, Andras ; Manini, Daniele

Author_Institution

Dipt. di Inf., Univ. di Torino, Turin

Volume

1

fYear

2008

fDate

27-30 May 2008

Firstpage

713

Lastpage

717

Abstract

Gillespie´s algorithm serves to simulate a network of stochastic reactions with given initial quantities and kinetic rate constants. In this paper we consider the estimation of the kinetic rate constants of the reactions based on a set of discrete observations generated by Gillespie´s algorithm. In particular, we present an Expectation Maximisation (EM) method to perform maximum likelihood estimation of the rate constants. Applicability of the method is tested on a simple reaction network.

Keywords

biochemistry; parameter estimation; reaction rate constants; stochastic processes; EM method; Gillespie´s algorithm; expectation maximisation method; kinetic rate constants; parameter estimation; stochastic reaction networks; Biomedical engineering; Biomedical informatics; Computational modeling; Iterative algorithms; Kinetic theory; Maximum likelihood estimation; Parameter estimation; Random variables; Stochastic processes; Testing; kinetic rate constants; parameter estimation; stochastic reaction network;

fLanguage

English

Publisher

ieee

Conference_Titel

BioMedical Engineering and Informatics, 2008. BMEI 2008. International Conference on

Conference_Location

Sanya

Print_ISBN

978-0-7695-3118-2

Type

conf

DOI

10.1109/BMEI.2008.237

Filename

4548762