Numerical simulation for heat transfer in tissues during thermal therapy

Gupta, Praveen Kumar; Singh, Jitendra; Rai, K.N.

doi:10.1016/j.jtherbio.2010.06.007

Cited by 101 publications

(24 citation statements)

References 21 publications

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“…Yue et al [30] obtained an analytic solution of one-dimensional steady-state Pennes' bioheat transfer equation in cylindrical coordinates. Gupta et al [9] gave some approximate analytic solutions of Pennes' bioheat equation in thermal therapy. Ooi et al [19] presented a boundary element model of the human eye undergoing laser thermokeratoplasty.…”

Section: Introductionmentioning

confidence: 99%

Numerical solution of fractional bioheat equation by quadratic spline collocation method

Qin¹,

Wu²

2016

J. Nonlinear Sci. Appl.

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Section: Introductionmentioning

confidence: 99%

Numerical solution of fractional bioheat equation by quadratic spline collocation method

Qin¹,

Wu²

2016

J. Nonlinear Sci. Appl.

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“…Therefore, hyperthermia improves the result of the conventional treatment within the framework of multi-modal treatment concepts. For the success of hyperthermia treatment, precise prediction and control of temperature are always needed [2][3][4][5][6] . Heat transfer analysis in living biological tissues is complex due to their non-homogeneous inner structure.…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy

Kumar

Rai

2016

Mathematical Biosciences

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“…They solved it using Fourier series method. Gupta et al [5,6] studied the modified Penne's bio-heat transfer equation. They solved it by Galerkin method using Bernstein polynomial for space coordinate and variational iteration technique for time coordinate.…”

Section: Introductionmentioning

confidence: 99%

Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source

Kumar¹,

Singh²,

Rai

2015

Heat Mass Transfer

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In this paper, the temperature distribution in a finite biological tissue in presence of metabolic and external heat source when the surface subjected to different type of boundary conditions is studied. Classical Fourier, single-phase-lag (SPL) and dual-phase-lag (DPL) models were developed for bio-heat transfer in biological tissues. The analytical solution obtained for all the three models using Laplace transform technique and results are compared. The effect of the variability of different parameters such as relaxation time, metabolic heat source, spatial heat source, different type boundary conditions on temperature distribution in different type of the tissues like muscle, tumor, fat, dermis and subcutaneous based on three models are analyzed and discussed in detail. The result obtained in three models is compared with experimental observation of Stolwijk and Hardy (Pflug Arch 291:129-162, 1966). It has been observe that the DPL bio-heat transfer model provides better result in comparison of other two models. The value of metabolic and spatial heat source in boundary condition of first, second and third kind for different type of thermal therapies are evaluated.

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Numerical simulation for heat transfer in tissues during thermal therapy

Cited by 101 publications

References 21 publications

Numerical solution of fractional bioheat equation by quadratic spline collocation method

Numerical solution of fractional bioheat equation by quadratic spline collocation method

Numerical simulation of dual-phase-lag bioheat transfer model during thermal therapy

Analysis of classical Fourier, SPL and DPL heat transfer model in biological tissues in presence of metabolic and external heat source

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