A study on thermal damage during hyperthermia treatment based on DPL model for multilayer tissues using finite element Legendre wavelet Galerkin approach

Kumar, Dinesh; Rai, K.N.

doi:10.1016/j.jtherbio.2016.06.020

Cited by 61 publications

(23 citation statements)

References 34 publications

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“…The Curvelet function is used as the interpolating function to establish the Curvelet finite element, and the temperature function ( , ) i u   can be expressed as follows (Kumar and Rai, 2016): ( , ) .…”

Section: Rollover Curvelet Finite Element Of Lng Tank With Gas and mentioning

confidence: 99%

Rollover Mechanism Methodology of LNG Tank with Gas-Liquid Stratification Based on Curvelet Finite Element Method and Large Eddy Simulation Technology

Zhao¹,

Han²,

Xu³

et al. 2018

JAFM

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The rollover phenomenon of LNG tank has great threat to secure storage of LNG, therefore the Curvelet finite element method combing the large eddy simulation technology to analyze the rollover mechanism. Firstly, the basic principles of Curvelet transform are studied, the mathematical model and properties of Curvelet transform have been discussed. Secondly, theoretical models of rollover of LNG tank with gas-liquid stratification based on large eddy simulation are put forward, and then rollover Curvelet finite element of LNG tank with gas and liquid phase stratification is established. Finally, the rollover mechanism analysis of LNG tank with gas and liquid stratification is carried out based on different simulation method. The changing rules of mean velocity of interface between gas and liquid phase LNG gas phase and liquid phase LNG is obtained, and the changing rules mean velocities of gas and liquid phase LNG for different heat flux density are also obtained. Comparing results show that the Curvelet finite element method has higher computing precision than traditional finite element method.

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Section: Rollover Curvelet Finite Element Of Lng Tank With Gas and mentioning

confidence: 99%

Rollover Mechanism Methodology of LNG Tank with Gas-Liquid Stratification Based on Curvelet Finite Element Method and Large Eddy Simulation Technology

Zhao¹,

Han²,

Xu³

et al. 2018

JAFM

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“…[50] The modified thermal damage model is complicated and analytical solution is not possible. Recently, Kumar and Rai [51] solved modified thermal damage model using finite difference scheme. Based on the same difference scheme at the targeted node, the numerical solution of Eq.…”

Section: Thermal Damage With Regeneration Termmentioning

confidence: 99%

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

Kumar

Rai

2016

Mathematical Biosciences

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“…The treatment techniques such as hyperthermia, thermal ablation, cryoablation, and cryosurgery are used for selectively destroying the tumor in living skin tissue. Thermal therapy is an ideal modality for the treatment of infected cells using different types of external heat sources like electromagnetic irradiation [ 6 , 10 , 12 , 13 ], magnetic nanoparticles (MNPs) [ 15 , 16 ], etc.…”

Section: Introductionmentioning

confidence: 99%

“…Several researchers studied the temperature distribution in skin tissues using the DPL bioheat transfer model, undertaking different types of volumetric heat sources. They solved the DPLBHT model using the finite element Legendre wavelet Galerkin method [ 15 ] and used the FERK (4,5) method [ 10 , 12 , 13 ] and finite difference-decomposition method [ 6 ]. The development of the reconfigurable distributed multiple-input multiple-output technique in a practical communication environment was proposed by Do and Haas [ 35 ].…”

Section: Introductionmentioning

confidence: 99%

A Study on Non-Linear DPL Model for Describing Heat Transfer in Skin Tissue during Hyperthermia Treatment

Sharma

Kumar²

2020

Entropy

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The article studies the simulation-based mathematical modeling of bioheat transfer under the Dirichlet boundary condition. We used complex non-linear dual-phase-lag bioheat transfer (DPLBHT) for analyzing the temperature distribution in skin tissues during hyperthermia treatment of infected cells. The perfusion term, metabolic heat source, and external heat source were the three parts of the volumetric heat source that were used in the model. The non-linear DPLBHT model predicted a more accurate temperature within skin tissues. The finite element Runge–Kutta (4,5) (FERK (4,5)) method, which was based on two techniques, finite difference and Runge–Kutta (4,5), was applied for calculating the result in the case of our typical non-linear problem. The paper studies and presents the non-dimensional unit. Thermal damage of normal tissue was observed near zero during hyperthermia treatment. The effects of the non-dimensional time, non-dimensional space coordinate, location parameter, regional parameter, relaxation and thermalization time, metabolic heat source, associated metabolic heat source parameter, perfusion rate, associated perfusion heat source parameter, and external heat source coefficient on the dimensionless temperature profile were studied in detail during the hyperthermia treatment process.

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A study on thermal damage during hyperthermia treatment based on DPL model for multilayer tissues using finite element Legendre wavelet Galerkin approach

Cited by 61 publications

References 34 publications

Rollover Mechanism Methodology of LNG Tank with Gas-Liquid Stratification Based on Curvelet Finite Element Method and Large Eddy Simulation Technology

Rollover Mechanism Methodology of LNG Tank with Gas-Liquid Stratification Based on Curvelet Finite Element Method and Large Eddy Simulation Technology

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

A Study on Non-Linear DPL Model for Describing Heat Transfer in Skin Tissue during Hyperthermia Treatment

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