The general boundary element method for 3D dual-phase lag model of bioheat transfer

Majchrzak, Ewa; Turchan, Łukasz

doi:10.1016/j.enganabound.2014.07.012

Cited by 46 publications

(15 citation statements)

References 21 publications

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“…Further study will be focus on the use of the dual-phase lagging equation as a new modified bioheat transfer equation as considered by other researchers [19,54,55,[63][64][65][66][67][68][69][70][71], where the relaxation times associated with both heat flux and the temperature gradients are considered. In particular, we have noticed that the overall tissue can be considered to be a porous medium consisting of the vascular region and the extravascular region.…”

Section: Resultsmentioning

confidence: 99%

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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: Resultsmentioning

confidence: 99%

“…As a result, Eq. (5) for the temperature field can be revised to a two-equation porous model, which leads to a dual-phase lagging equation [19,54,[68][69][70]. In addition, we will consider irregular geometries for a skin structure and tumor region where the finite element method may be included.…”

Section: Resultsmentioning

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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“…In the current paper aimed at analysis of the phenomenon of withdrawal of tissue thermal damage, the description of lighttissue interaction was a simple, first-order scattering model, however for a more realistic description the diffusion approximation or Monte Carlo model should be taken into account [1]. It is also possible to use another equation of bioheat transfer such as Cattaneo-Vernotte equation [12] or dual phase lag equation [13,14].…”

Section: Discussionmentioning

confidence: 99%

Modelling of thermal damage in laser irradiated tissue

Jasiński

2015

J. Appl. Math. Comput. Mech.

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Abstract. In the paper the numerical analysis of thermal processes proceeding in the 2D homogeneous biological tissue subjected to laser irradiation is presented. In particular, the influence of necrotic changes in tissue on the values of the perfusion coefficient and effective scattering coefficient are discussed. The transient heat transfer is described by the bioheat transfer equation in the Pennes formulation. As a model of light distribution in tissue, the first-order scattering approach has been used. At the stage of numerical realization the 1 st scheme of the boundary element method has been applied.

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“…Recently the thermal processes in the domain of soft tissue are also described using the dual phase lag equation in which two delay times are taken into account (the relaxation time τ q and a thermalization time τ T -e.g. [8,9]). This approach is very interesting, but so far, the numerical data concerning the delay times are rather precarious.…”

Section: Introductionmentioning

confidence: 99%

Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations

Ciesielski¹,

Duda²,

Mochnacki³

2016

J. Appl. Math. Comput. Mech.

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Abstract. The homogeneous soft tissue domain subjected to an external heat source is considered. Thermal processes in this domain are described using the well known Pennes equation and next the Cattaneo-Vernotte one. Within recent years the prevailing view is that the Cattaneo-Vernotte equation better describes the thermal processes proceeding in the biological tissue (it results from the specific internal tissue structure). Appearing in this equation the delay time of heat flux with respect to the temperature gradient (τ q ) is of the order of several seconds and the different values of τ q are taken into account. At the stage of numerical modeling the finite difference method is used. In the final part of the paper, the examples of computations are shown.

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The general boundary element method for 3D dual-phase lag model of bioheat transfer

Cited by 46 publications

References 21 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

Modelling of thermal damage in laser irradiated tissue

Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations

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