Analytical study on the transient heating of a two-dimensional skin tissue using parabolic and hyperbolic bioheat transfer equations

DOI10.1016/J.APM.2014.12.003zbMath1443.80012OpenAlexW1986405716MaRDI QIDQ2009936

Hossein Ahmadikia, Hossein Askarizadeh

Publication date: 3 December 2019

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2014.12.003

zbMATH Keywords

analytical solutiontwo-dimensionalnon-Fourierbioheat transferdual-phase-lagskin tissue

Mathematics Subject Classification ID

Heat equation (35K05) Biomechanics (92C10) Diffusive and convective heat and mass transfer, heat flow (80A19)

Related Items (10)

Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy ⋮ Thermo-viscoelastic analysis of biological tissue during hyperthermia treatment ⋮ Thermo-mechanical interaction on transient heating of skin tissue with variable thermal material properties ⋮ Boundary element modeling and simulation of biothermomechanical behavior in anisotropic laser-induced tissue hyperthermia ⋮ Fractional order thermo-viscoelastic theory of biological tissue with dual phase lag heat conduction model ⋮ Finite integral transform-based analytical solutions of dual phase lag bio-heat transfer equation ⋮ Dual-phase-lag analysis of CNT-MoS\(_2\)-ZrO\(_2\)-SiO\(_2\)-Si nano-transistor and arteriole in multi-layered skin ⋮ Analytical and numerical temperature distribution in a 3-D triple-layer skin tissue subjected to a multi-point laser beam ⋮ A collocation approach for solving two-dimensional second-order linear hyperbolic equations ⋮ Analytical analysis of the dual-phase-lag model of bio-heat transfer with pulse boundary heat flux on skin tissue

Cites Work

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• Nonlinear behavior of thermal lagging in concentric living tissues with Gaussian distribution source
• Optimization and real-time control for laser treatment of heterogeneous soft tissues
• Numerical simulation of laminar breakdown and subsequent intermittent and turbulent flow in parallel-plate channels: effects of inlet velocity profile and turbulence intensity
• Non-Fourier analysis of skin biothermomechanics
• Study of the transient thermal wave heat transfer in a channel immersed in a Bath of superfluid helium
• Analysis for the dual-phase-lag bio-heat transfer during magnetic hyperthermia treatment
• Non-Fourier effects on transient temperature resulting from periodic on- off heat flux

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