Alosaimi, M, Lesnic, D orcid.org/0000-0003-3025-2770 and Niesen, J orcid.org/0000-0002-6693-3810 (2021) Determination of the thermo-physical properties of multi-layered biological tissues. Applied Mathematical Modelling, 99. pp. 228-242. ISSN 0307-904X
Abstract
Abnormal biological tissues possess unknown properties that must be estimated in order to decide the appropriate method of treatment in terms of amount of dosage and appropriate place of inoculation. The current work numerically investigates, for the first time, the simultaneous estimation of several thermo-physical properties of multi-layered tissues from internal temperature measurements. The heat propagation within the tissues is modelled by the thermal-wave model of bio-heat transfer, accounting for the finite speed of heat propagation. On the skin surface, a convective boundary condition holds taking into account the heat exchange with the environment, whilst on the most inner wall of the tissues a Dirichlet boundary temperature condition is prescribed. Accurate and stable reconstruction of the piecewise constant properties given by the thermal conductivity, heat capacity and blood perfusion rate is successfully achieved for two physical examples concerning three- and four-layered, one-dimensional tissues, subjected to externally induced aggression.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2021 Elsevier Inc. All rights reserved. This is an author produced version of an article published in Applied Mathematical Modelling. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Inverse problem; Bio-heat transfer; Thermal-wave model; Stratified tissue |
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: | 29 Jun 2021 10:53 |
Last Modified: | 16 Mar 2023 20:48 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.apm.2021.06.006 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:175610 |