A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment

Kumar, P.; Kumar, Dinesh; Rai, K.N.

doi:10.1016/j.jtherbio.2015.02.008

Cited by 105 publications

(35 citation statements)

References 20 publications

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“…The converted system of initial value problem in k unknown variables have been solved by wavelet Galerkin approach by taking Legendre wavelets as a basis function. In order to verify the correctness of the present numerical method, a graphical comparison between analytical solution and present numerical solution for PBHT model under Cartesian coordinate and first kind boundary condition had been made by Kumar et al [41] , the solutions show excellent agreement.…”

Section: Introductionmentioning

confidence: 92%

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

Kumar

Rai

2016

Mathematical Biosciences

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Section: Introductionmentioning

confidence: 92%

“…Recently, Kumar et al [41] studied the dual-phase-lag model of bioheat transfer where the metabolic heat generation is assumed to be constant at basal metabolic heat generation rate ( Q mo ) under Cartesian coordinate system. They find the approximate analytic solution of this problem using finite element wavelet Galerkin method.…”

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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“…Application of thermal effects of EMF may vary from mild (diathermy: <41 C) to high (thermal ablation: from 46 to 110 C) increase of tissue temperature [50]. Thermal impacts are dependent on a variety of EMF parameters, such as intensity, pulse shape and width, and the pulse sequence type [51].…”

Section: Electric Field Analysismentioning

confidence: 99%

Analysis of electric field and emission spectrum in the glow discharge of therapeutic plasma electrode

et al. 2017

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Gas-filled glass plasma electrodes coupled with high-frequency high-voltage generators are used in medicine and dentistry for more than a century. In recent literature, therapeutic effects of such procedure have been explained through topical bio-oxidative effects of ozone generated by the dielectric barrier discharge. The aim of this study was to evaluate characteristics of electric field and optical emission spectrum generated in the treatment field by the glow discharge of the plasma electrode. Emission spectrum in red and near-infrared wavelength range (540-886 nm) and pulsed electric field (impulse frequency 1053 Hz, exponentially damped sine wave in the range of 33 kHz, duty cycle 20%) were recorded. Estimated electric field strength at 1-mm distance was in the range from 5.8 to 13.7 kV/m and between 10 6 and 10 8 V/m in the close proximity of electrode's surface (below 0.01 mm). Recorded factors are integral constituents in the treatment field and their properties can be correlated to the known biological and therapeutic effects of photostimulation and electrostimulation. These factors present important bioactive components which could be responsible for therapeutic effects, reported in number of clinical studies, especially those which could not be explained through topical bio-oxidative effects of ozone.

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“…That approach gives the bioheat DFL model in the form [6,20] ( ) The solutions of the modified bioheat equations (3), (5) with different boundary conditions have been found in analytical, semi-analytical and numerical forms. Theoretical results have been compared to the Pennes equation based computations for the skin heating problem [6,[11][12][13]20]. It was found the three models predict similar ) (t T between the heat flux and temperature gradient (retarded effect), and the DPL theory is based on the cause-effect concept, i.e.…”

Section: Introductionmentioning

confidence: 99%

Bioheat Equation With Fourier and Non-Fourier Heat Transport Laws: Applicability to Heat Transfer in Human Tissues

Kizilova

2019

Journal of Thermal Engineering

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The paper is dedicated to mathematical problem formulations for the heat propagation in biological tissues based on the Fourier and non-Fourier laws at different boundary conditions. The heating of the tissues is provided by external heat sources like low intensity lasers or light-emitting diodes which are widely used in contemporary medical care. Numerical computations on the standard Pennes bioheat equation with Fourier heat conduction give the temperature curves for both heating and thermal relaxation processes that do not correspond to the in vivo measurement data on human skin tissue. It is shown the modified bioheat equation based on the Guyer-Krumhansl heat conduction with correct formulation of the boundary conditions produces realistic temperature curves when the distributed heat sources and sinks in the tissue are accounted for. The former corresponds to the metabolic heat and temperature dependent chemical reactions, while the latter is provided by the heat convection with blood microcirculation system. The proposed model gives realistic two time temperature curves. The perspective applications of the novel mathematical formulation are discussed.

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A numerical study on dual-phase-lag model of bio-heat transfer during hyperthermia treatment

Cited by 105 publications

References 20 publications

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

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

Analysis of electric field and emission spectrum in the glow discharge of therapeutic plasma electrode

Bioheat Equation With Fourier and Non-Fourier Heat Transport Laws: Applicability to Heat Transfer in Human Tissues

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