Alosaimi, M, Lesnic, D orcid.org/0000-0003-3025-2770 and Niesen, J orcid.org/0000-0002-6693-3810 (2020) Reconstruction of the thermal properties in a wave-type model of bio-heat transfer. International Journal of Numerical Methods for Heat & Fluid Flow, 30 (12). pp. 5143-5167. ISSN 0961-5539
Abstract
Purpose: This study aims to at numerically retrieve five constant dimensional thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements.
Design/methodology/approach: The thermal-wave model of bio-heat transfer is used as an appropriate model because of its realism in situations in which the heat flux is extremely high or low and imposed over a short duration of time. For the numerical discretization, an unconditionally stable finite difference scheme used as a direct solver is developed. The sensitivity coefficients of the dimensionless boundary temperature measurements with respect to five constant dimensionless parameters appearing in a non-dimensionalised version of the governing hyperbolic model are computed. The retrieval of those dimensionless parameters, from both exact and noisy measurements, is successfully achieved by using a minimization procedure based on the MATLAB optimization toolbox routine lsqnonlin. The values of the five-dimensional parameters are recovered by inverting a nonlinear system of algebraic equations connecting those parameters to the dimensionless parameters whose values have already been recovered.
Findings: Accurate and stable numerical solutions for the unknown thermo-physical properties of a biological tissue from dimensionless boundary temperature measurements are obtained using the proposed numerical procedure.
Research limitations/implications: The current investigation is limited to the retrieval of constant physical properties, but future work will investigate the reconstruction of the space-dependent blood perfusion coefficient.
Practical implications: As noise inherently present in practical measurements is inverted, the paper is of practical significance and models a real-world situation.
Social implications: The findings of the present paper are of considerable significance and interest to practitioners in the biomedical engineering and medical physics sectors.
Originality/value: In comparison to Alkhwaji et al. (2012), the novelty and contribution of this work are as follows: considering the more general and realistic thermal-wave model of bio-heat transfer, accounting for a relaxation time; allowing for the tissue to have a finite size; and reconstructing five thermally significant dimensional parameters.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020, Emerald Publishing Limited. This is an author produced version of an article published in International Journal of Numerical Methods for Heat & Fluid Flow. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | bio-heat transfer; Hyperbolic equation; indentification problem; thermal-wave model |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 19 Mar 2020 12:06 |
Last Modified: | 26 Jul 2022 08:49 |
Status: | Published |
Publisher: | Emerald |
Identification Number: | 10.1108/HFF-10-2019-0776 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:158505 |