Ranking of parameters in bioheat transfer using Taguchi analysis

Jamil, Muhammad; Ng, E. Y. K.

doi:10.1016/j.ijthermalsci.2012.07.002

Cited by 40 publications

(18 citation statements)

References 24 publications

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“…Majchrzak and colleagues [15] developed a model based on the Pennes' equation to study the hyperthermia and hypothermia processes and to identify thermal parameters in a biological medium. Jamil and Ng [16] developed a model that predicts the leading factor for hyperthermia treatment using electromagnetic radiation in a single-layered human tissue structure with an embedded tumor based on the Pennes' equation. Randrianalisoa et al [18] short-pulsed laser radiation transient heating of superficial human tissues.…”

Section: Introductionmentioning

confidence: 99%

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Orndorff

Ponomarev

Dai

et al. 2017

International Journal of Heat and Mass Transfer

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a b s t r a c tObtaining accurate temperature distributions in living tissue related to hyperthermia skin cancer treatment without using an intruding sensor is a challenge. Here, we report a mathematical model that can accurately determine the temperature distribution in the tumor region and surrounding normal tissue. The model is based on a modified Pennes' equation for the bioheat transfer in a 3-D triple-layered skin structure embedded with a vascular countercurrent network and a tumor appearing in the subcutaneous region. The vascular network is designed based on the constructal theory of multi-scale tree-shaped heat exchangers. The tumor is injected with gold nanoshells in order to be heated quickly. The proposed model is implemented numerically using a stable finite difference scheme. The method is demonstrated and tested by an example.

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Section: Introductionmentioning

confidence: 99%

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Orndorff

Ponomarev

Dai

et al. 2017

International Journal of Heat and Mass Transfer

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“…[1][2][3][4][5][6][7][8]. One of them is the dual-phase lag equation [9][10][11] in which two time parameters τ q and τ T appear.…”

Section: Introductionmentioning

confidence: 99%

1D generalized dual-phase lag equation. Sensitivity analysis with respect to the porosity

Kałuża

Majchrzak

Turchan

2016

J. Appl. Math. Comput. Mech.

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Abstract. Thermal processes occurring in the heated tissue are described by the 1D generalized dual-phase lag equation supplemented by appropriate boundary and initial conditions. Using the sensitivity analysis method, the additional problem connected with the porosity is formulated. Both problems are solved by means of the explicit scheme of the finite difference method. In this way it is possible to estimate the temperature changes due to the perturbation of porosity. In the final part of the paper, the example of computation is shown and the conclusions are formulated.

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“…For real world applications, numerical approaches have been used, including the finite difference method (FDM) , the FEM , the spectral element method , the BEM , the dual reciprocity BEM , and the Monte Carlo method . Additionally, the Trefftz FEM and meshless methods have also been successfully used to solve transient heat conduction problems. In several FDM and FEM analyses, mesh generation is the most cumbersome and expensive part of modeling, especially for irregular shapes in three dimensions.…”

Section: Introductionmentioning

confidence: 99%

A meshless point collocation treatment of transient bioheat problems

Bourantas

Loukopoulos

Burganos

et al. 2014

Numer Methods Biomed Eng

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A meshless numerical method is proposed for the solution of the transient bioheat equation in two and three dimensions. The Pennes bioheat equation is extended in order to incorporate water evaporation, tissue damage, and temperature-dependent tissue properties during tumor ablation. The conductivity of the tissue is not assumed constant but is treated as a local function to simulate local variability due to the existence of usually unclear interfacing of healthy and pathological segments. In this way, one avoids the need for accurate identification of the boundaries between pathological and healthy regions, which is a typical problem in medical practice, and sidesteps, evidently, the corresponding mathematical treatment of such boundaries, which is usually a tedious procedure with some inevitable degree of approximation. The numerical results of the new method for test applications of the bioheat transfer equation are validated against analytical predictions and predictions of other numerical methods. 3D simulations are presented that involve the modeling of tumor ablation and account for metabolic heat generation, blood perfusion, and heat ablation using realistic values for the various parameters. An evaluation of the effective medium approximation to homogenize conductivity fields for use with the bioheat equation is also provided.

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Ranking of parameters in bioheat transfer using Taguchi analysis

Cited by 40 publications

References 24 publications

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

Thermal analysis in a triple-layered skin structure with embedded vasculature, tumor, and gold nanoshells

1D generalized dual-phase lag equation. Sensitivity analysis with respect to the porosity

A meshless point collocation treatment of transient bioheat problems

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