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State estimation in bioheat transfer: a comparison of particle filter algorithms

Bernard Lamien (Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil)
Leonardo A.B. Varon (Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil)
Helcio R.B. Orlande (Department of Mechanical Engineering, Universidade Federal do Rio de Janeiro, Rio de Janeiro, Brazil)
Guillermo E. Elicabe (Institute of Materials Science and Technology (INTEMA) and National Research Council (CONICET), Universidad Nacional de Mar del Plata, Buenos Aires, Argentina)

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 6 March 2017

234

Abstract

Purpose

The purpose of this paper is to focus on applications related to the hyperthermia treatment of cancer, with heating imposed either by a laser in the near-infrared range or by radiofrequency waves. The particle filter algorithms are compared in terms of computational time and solution accuracy.

Design/methodology/approach

The authors extend the analyses performed in their previous works to compare three different algorithms of the particle filter, as applied to the hyperthermia treatment of cancer. The particle filters examined here are the sampling importance resampling (SIR) algorithm, the auxiliary sampling importance resampling (ASIR) algorithm and Liu & West’s algorithm.

Findings

Liu & West’s algorithm resulted in the largest computational times. On the other hand, this filter was shown to be capable of dealing with very large uncertainties. In fact, besides the uncertainties in the model parameters, Gaussian noises, similar to those used for the SIR and ASIR filters, were added to the evolution models for the application of Liu & West’s filter. For the three filters, the estimated temperatures were in excellent agreement with the exact ones.

Practical implications

This work may help medical doctors in the future to prescribe treatment protocols and also opens the possibility of devising control strategies for the hyperthermia treatment of cancer.

Originality/value

The natural solution to couple the uncertain results from numerical simulations with the measurements that contain uncertainties, aiming at the better prediction of the temperature field of the tissues inside the body, is to formulate the problem in terms of state estimation, as performed in this work.

Keywords

Acknowledgements

The financial support provided by FAPERJ, CAPES and CNPq, Brazilian agencies for the fostering of science, is greatly appreciated. The authors also acknowledge the support provided by the STIC AmSud project “I3PE – Inverse Problems in Physical Properties Estimation”.

Citation

Lamien, B., Varon, L.A.B., Orlande, H.R.B. and Elicabe, G.E. (2017), "State estimation in bioheat transfer: a comparison of particle filter algorithms", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 27 No. 3, pp. 615-638. https://doi.org/10.1108/HFF-03-2016-0118

Publisher

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Emerald Publishing Limited

Copyright © 2017, Emerald Publishing Limited

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