# Chia Lee : Stochastic simulation of biochemical systems with randomly fluctuating rate constants

In an experimental study of single enzyme reactions, it has been proposed that the rate constants of the enzymatic reactions fluctuate randomly, according to a given distribution. To quantify the uncertainty arising from random rate constants, it is necessary to investigate how one can simulate such a biochemical system. To do this, we will take the Gillespie's stochastic simulation algorithm for simulation the evolution of the state of a chemical system, and study a modification of the algorithm that incorporates the random rate constants, using in part the Metropolis-Hastings algorithm to enact the distribution on the random rate constants. This modified algorithm, when applied to the single enzyme reaction system, produces simulation outputs that are corroborated by the experimental results. This project is in its early stages, and it is hoped that it can subsequently be used as a tool for the estimation or calibration of parameters in the system using experimental data.

**Category**: Mathematical Biology**Duration**: 01:14:51**Date**: February 17, 2012 at 11:55 AM**Views**: 110-
**Tags:**seminar, Mathematical Biology Seminar

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