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Study of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applications

2013-07Journal article Open access
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dc.contributor.authorRodrigues, D. B.
dc.contributor.authorPereira, P. J. S.
dc.contributor.authorLimao-Vieira, P.
dc.contributor.authorStauffer, P. R.
dc.contributor.authorMaccarini, Paolo F.
dc.date.accessioned2013-11-02T19:43:54Z
dc.date.available2013-11-02T19:43:54Z
dc.date.issued2013-07
dc.description.abstract: In this work we derive an analytical solution given by Bessel series to the transient and one-dimensional (1D) bioheat transfer equation in a multi-layer region with spatially dependent heat sources. Each region represents an independent biological tissue characterized by temperature-invariant physiological parameters and a linearly temperature dependent metabolic heat generation. Moreover, 1D Cartesian, cylindrical or spherical coordinates are used to define the geometry and temperature boundary conditions of first, second and third kinds are assumed at the inner and outer surfaces. We present two examples of clinical applications for the developed solution. In the first one, we investigate two different heat source terms to simulate the heating in a tumor and its surrounding tissue, induced during a magnetic fluid hyperthermia technique used for cancer treatment. To obtain an accurate analytical solution, we determine the error associated with the truncated Bessel series that defines the transient solution. In the second application, we explore the potential of this model to study the effect of different environmental conditions in a multi-layered human head model (brain, bone and scalp). The convective heat transfer effect of a large blood vessel located inside the brain is also investigated. The results are further compared with a numerical solution obtained by the Finite Element Method and computed with COMSOL Multi-physics v4.1 (c). (c) 2013 Elsevier Ltd. All rights reserved.por
dc.identifier.citationRODRIGUES, D. B.; PEREIRA, P. J. S.; LIMAO-VIEIRA, P.; STAUFFER, P. R.; MACCARINI, P. F. - Study of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applications. International Journal of Heat and Mass Transfer. ISSN 0017-9310. Vol. 62 (2013), p. 153-162.por
dc.identifier.issn0017-9310
dc.identifier.other10.1016/j.ijheatmasstransfer.2012.11.082
dc.identifier.urihttp://hdl.handle.net/10400.21/2855
dc.language.isoengpor
dc.publisherPergamon-Elsevier Science LTDpor
dc.subjectBioheat transfer equationpor
dc.subjectMethod of separation of variablespor
dc.subjectEigenfunctions and eigenvaluespor
dc.subjectBessel functionspor
dc.subjectFinite Element Methodpor
dc.subjectHyperthermia applicationspor
dc.subjectMagnetic fluid hyperthermiapor
dc.subjectHeat-transferpor
dc.subjectModelpor
dc.subjectMultiregionpor
dc.subjectTissuepor
dc.titleStudy of the one dimensional and transient bioheat transfer equation: Multi-layer solution development and applicationspor
dc.typejournal article
dspace.entity.typePublication
oaire.citation.conferencePlaceOxfordpor
oaire.citation.endPage162por
oaire.citation.startPage153por
oaire.citation.titleInternational Journal of Heat and Mass Transferpor
oaire.citation.volume62por
rcaap.rightsrestrictedAccesspor
rcaap.typearticlepor

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