# 2018 Annual Meeting of the Society for Mathematical Biology & the Japanese Society for Mathematical Biology

8-12 July 2018
Australia/Sydney timezone

## Parameter estimation of an S-system model using hybrid genetic algorithm with the aid of sensitivity analysis

9 Jul 2018, 10:50
20m
New Law School/--022 (University of Sydney)

### New Law School/--022

#### University of Sydney

60
Oral Presentation Techniques for Mathematical Biology

### Speaker

Dr Renier Mendoza (Institute of Mathematics University of the Philippines Diliman)

### Description

A biochemical system is a biological system consisting of a collection of chemical compounds interacting with each other. One way to model and analyze a biochemical system is by using S-systems, which are coupled ordinary differential equations based on power-law formalism. In this work, we do a parameter estimation on an S-system model called HS96. This model, proposed by Hlavacek and Savageau in 1996, describes a simple genetic network consisting of five dependent variables $X_i,$ $i=1,2,...,5$. As a preliminary method, sensitivity analysis of HS96 is conducted to investigate the change in model outputs with respect to the changes in model parameters. Usual model outputs are $X_i$ and $\dot{X}_i,$ $i=1,2,...,5$. From the results of sensitivity analysis, model outputs are selected which are then used to estimate the parameters of the HS96 model. A hybrid of genetic algorithm with the interior point method is used in the parameter estimation.

### Primary author

Dr Renier Mendoza (Institute of Mathematics University of the Philippines Diliman)

### Co-authors

Ms Jayrah Bena Riñon (Institute of Mathematics, University of the Philippines, Diliman) Dr Victoria May Paguio (Institute of Mathematics, University of the Philippines Diliman)

### Presentation Materials

There are no materials yet.