State estimation in bioheat transfer: a comparison of particle filter algorithms
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 6 March 2017
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
:Emerald Publishing Limited
Copyright © 2017, Emerald Publishing Limited