Thermal analysis of laser-irradiated tissue phantoms using dual phase lag model coupled with transient radiative transfer equation

Kumar, Sumit; Srivastava, Atul

doi:10.1016/j.ijheatmasstransfer.2015.06.077

Cited by 55 publications

(41 citation statements)

References 44 publications

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“…Several mathematical studies have been reported in the past on thermal therapies utilizing the laser (Bhowmik et al, 2014, Kumar and Srivastava, 2015, Nirgudkar et al, 2017, Truong et al, 2018, Wang et al, 2006a, Wang et al, 2006b, Zhang et al, 2008, Li et al, 2020. Importantly, the source term of bioheat transfer model is modified by either Beer-Lambert's law or diffusion approximation while modelling the laser ablation.…”

Section: Application Of Laser Ablation To Biological Tissues Neural mentioning

confidence: 99%

Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions

Singh

Melnik

2020

Electromagnetic Biology and Medicine

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Percutaneous thermal ablation has proved to be an effective modality for treating both benign and malignant tumors in various tissues. Among these modalities, radiofrequency ablation (RFA) is the most promising and widely adopted approach that has been extensively studied in the past decades. Microwave ablation (MWA) is a newly emerging modality that is gaining rapid momentum due to its capability of inducing rapid heating and attaining larger ablation volumes, and its lesser susceptibility to the heat sink effects as compared to RFA. Although the goal of both these therapies is to attain cell death in the target tissue by virtue of heating above 50 o C, their underlying mechanism of action and principles greatly differs. Computational modelling is a powerful tool for studying the effect of electromagnetic interactions within the biological tissues and predicting the treatment outcomes during thermal ablative therapies. Such a priori estimation can assist the clinical practitioners during treatment planning with the goal of attaining successful tumor destruction and preservation of the surrounding healthy tissue and critical structures. This review provides current state-ofthe-art developments and associated challenges in the computational modelling of thermal ablative techniques, viz., RFA and MWA, as well as touch upon several promising avenues in the modelling of laser ablation, nanoparticles assisted magnetic hyperthermia and noninvasive RFA. The application of RFA in pain relief has been extensively reviewed from modelling point of view. Additionally, future directions have also been provided to improve these models for their successful translation and integration into the hospital work flow.

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Section: Application Of Laser Ablation To Biological Tissues Neural mentioning

confidence: 99%

Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions

Singh

Melnik

2020

Electromagnetic Biology and Medicine

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“…A mathematical and physical model can be established based on the problem studied, and the corresponding governing equation can be expressed as [24]…”

Section: Mathematical Modelmentioning

confidence: 99%

Semianalytical Solution of Transient Heat Transfer for Laminated Structures under Time-Varying Boundary Conditions

Wang

et al. 2021

Mathematical Problems in Engineering

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In order to solve the transient heat transfer problem of the laminated structure, a semianalytical method based on calculus is adopted. First, the time domain is divided into tiny time segments; the analytical solution of transient heat transfer of laminated structures in the segments is derived by using the method of separation of variables. Then, the semianalytical solution of transient heat transfer in the whole time domain is obtained by circulation. The transient heat transfer of the three-layer structure is analyzed by the semianalytical solution. Three time-varying boundary conditions (a: square wave, b: triangular wave, and c: sinusoidal wave) are applied to the surface of the laminated structure. The influence of some key parameters on the temperature field of the laminated structure is analyzed. It is found that the surface temperature of the laminated structure increases fastest when heated by square wave, and the maximum temperature can reach at 377°C, the temperature rises the most slowly when heated by the triangular wave, and the maximum temperature is 347°C. The novelty of this work is that the analytical method is used to analyze the nonlinear heat transfer problem, which is different from the general numerical method, and this method can be applied to solve the heat transfer problem of general laminated structures.

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“…A large majority of the problems described by DPLE are solved using the numerical methods. Generally, the different variants of the finite difference method are applied, but the solutions based on the boundary element method [19], the finite element method [20,21,22], the control volume method [23,24,25] or the lattice Boltzmann method [26,27] can be also found.…”

Section: Introductionmentioning

confidence: 99%

Numerical Simulation of Thermal Processes in a Domain of Thin Metal Film Subjected to an Ultrashort Laser Pulse

Majchrzak

Mochnacki

2018

Materials

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A thin metal film subjected to an ultrashort laser pulse is considered. With a sufficiently high laser intensity the process of the film heating may cause metal melting and even ablation. In this work, the numerical model of the melting and resolidification processes is presented. The mathematical model is based on the dual phase lag equation in which two positive constants appear, this means the relaxation and thermalization times. The considered equation contains a second-order time derivative and higher order mixed derivative in both time and space and should be supplemented by the appropriate boundary and initial conditions. The model of the melting and resolidification is presented in two versions. The first can be called ‘the introduction of the artificial mushy zone sub-domain’, while the second ‘the two forms of the basic energy equation’. At the stage of numerical computations, the implicit scheme of the finite difference method is used. The numerical algorithm is tested for the two proposed models which are applied to the computations concerning the thermal processes occurring in the cylindrical micro-domain (chromium, gold) subjected to an ultrashort laser pulse.

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Thermal analysis of laser-irradiated tissue phantoms using dual phase lag model coupled with transient radiative transfer equation

Cited by 55 publications

References 44 publications

Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions

Thermal ablation of biological tissues in disease treatment: A review of computational models and future directions

Semianalytical Solution of Transient Heat Transfer for Laminated Structures under Time-Varying Boundary Conditions

Numerical Simulation of Thermal Processes in a Domain of Thin Metal Film Subjected to an Ultrashort Laser Pulse

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