Parameter Estimation for a Model of Ionizing Radiation Effects on Targeted Cells using Genetic Algorithm and Pattern Search Method

Authors

  • Hamizah Rashid Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Fuaada Mohd Siam Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Normah Maan Department of Mathematical Sciences, Faculty of Science, Universiti Teknologi Malaysia, 81310 Johor Bahru, Johor, Malaysia
  • Wan Nordiana W Abd Rahman Medical Radiation Programme, School of Health Sciences, Universiti Sains Malaysia, 16150, Kubang Kerian, Kelantan.

DOI:

https://doi.org/10.11113/matematika.v34.n3.1134

Abstract

A mechanistic model has been used to explain the effect of radiation. The model consists of parameters which represent the biological process following ionizing radiation. The parameters in the model are estimated using local and global optimization algorithms. The aim of this study is to compare the efficiency between local and global optimization method, which is Pattern Search and Genetic Algorithm respectively. Experimental data from the cell survival of irradiated HeLa cell line is used to find the minimum value of the sum of squared error (SSE) between experimental data and simulation data from the model. The performance of both methods are compared based on the computational time and the value of the objective function, SSE. The optimization process is carried out by using the built-in function in MATLAB software. The parameter estimation results show that genetic algorithm is more superior than pattern search for this problem.

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Published

31-12-2018

How to Cite

Rashid, H., Mohd Siam, F., Maan, N., & W Abd Rahman, W. N. (2018). Parameter Estimation for a Model of Ionizing Radiation Effects on Targeted Cells using Genetic Algorithm and Pattern Search Method. MATEMATIKA, 34(3), 1–13. https://doi.org/10.11113/matematika.v34.n3.1134

Issue

Volume 34 (December 2018) - Special Issue

Section

Mathematics

License

Copyright of articles that appear in MATEMATIKA: MJIAM belongs exclusively to Penerbit UTM Press, Universiti Teknologi Malaysia. This copyright covers the rights to reproduce the article, including reprints, electronic reproductions or any other reproductions of similar nature.