Modeling the heating of biological tissue based on the hyperbolic heat transfer equation

Tung, Michael M.; Trujillo, Macarena; Molina, Juan Antonio López; Rivera, M. J.; Berjano, Enrique

doi:10.1016/j.mcm.2008.12.023

Cited by 63 publications

(27 citation statements)

References 13 publications

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“…The LITT of Brain Tumors [5], [6] was modeled by the bio-heat equation in a 3D geometric study, using the bioheat transfer application mode with time dependent COMSOL 5.2. Table I describes the physical parameters used by our Comsol numerical simulation.…”

Section: C2 Heat Distributionmentioning

confidence: 99%

Modeling the Laser Thermal Therapy in Treatment of Brain Tumors

Nour¹,

Bougataya²,

Lakhssassi³

2017

IJCTE

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Abstract-Due to the restriction of the number of probes that a patient can tolerate and the inaccurate information provided by the invasive temperature measurements, which provide information only at discrete points, a mathematical model simulation is more effective to help physicians in planning their thermal treatment doses. This simulation will maximize therapeutic effects while minimizing side effects. Prior to the treatment, it will provide a precise idea of the predicted reaction depending on selected doses; so new treatment strategies can be proposed and evaluated.To simulate cerebral circulation [1], we divide the fluid and matter constituents within the human head into several interacting subunits, so called compartments. Four main characteristics of the analyses of the brain model are fluid dynamics analysis, mechanical analysis, laser beam and heat transfer.The objective of this study is to simulate the Laser Interstitial Thermal Therapy in Treatment (LITT) of brain tumors including all four characteristics described above. The thermal effect of the laser during coagulation lasts around one second and its temperature is between 50 0C and 90 0C. LITT has the following results; the desiccation and retraction of the tissue to destroy tumor phenomena.Index Terms-Laser interstitial thermal therapy, thermal damage, brain cancer, bioheat transfer simulation.

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Section: C2 Heat Distributionmentioning

confidence: 99%

Modeling the Laser Thermal Therapy in Treatment of Brain Tumors

Nour¹,

Bougataya²,

Lakhssassi³

2017

IJCTE

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“…A low voltage laser is used to induce hyperthermia and kill tumor cells [1], [2]. A case study of the Laser Interstitial Thermal Therapy (LITT) [3]- [5] will demonstrate the feasibility of the framework.…”

Section: Introductionmentioning

confidence: 99%

Optimization of the Laser/Cancer Treatment’s Planning and Thermal Dosimetry Control

Nour¹,

Bougataya²,

Guemhioui³

et al. 2017

IJBBB

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During the laser thermal ablation process, it is challenging to control the side effects and optimize the planning of the dosimetry process for all patients. A software tool would help physicians plan and manage the dosimetry process while predicting and organizing the treatment. This would maximize the therapeutic effect and minimize any side effects, so new strategies can be proposed and evaluated.In this paper, we propose a new dosimetry planning approach for the laser surgery/cancer treatment with physician interaction that takes into account all the steps of the management of the dosimetry process. Depending on the impact of the thermal damage to the tissue during the simulation, the software tool will output a dosimetry schedule for each simulation and keep all choices for a final decision.Using Client Server technology, the software tool will also include a public and shared knowledge database to keep track of all simulations and learning process. This will optimize the process by dropping all unwanted simulation by delimiting the tissue tumor size, probe size, laser power, and time range.A case study of the Laser Interstitial Thermal Therapy (LITT) will demonstrate the feasibility of the dosimetry framework. LITT can be a highly complex treatment, with many parameters influencing treatment efficacy.

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“…Hyperbolic heat-flow effects have a range of practical applications that extend beyond their foundational significance. For example, thermal waves are important in the study of thermal transport in nanomaterials and nanofluids [6,13], and thermal shocks in solids [14], and for heat transport in biological tissue and surgical operations [8,[15][16][17]. Similarly, thermal relaxation has been shown to impact on flow velocity profiles in Jeffrey fluids [18], and a number of thermal convection problems in fluids and porous media [19][20][21][22] (including thermo-haline convection [23,24]), while type-II flux laws analogous to equation (1.1) have found utility in related contexts involving advection-diffusion systems [25][26][27].…”

Section: Introductionmentioning

confidence: 99%

Thermal convection in a magnetized conducting fluid with the Cattaneo–Christov heat-flow model

Bissell

2016

Proc. R. Soc. A.

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By substituting the Cattaneo-Christov heat-flow model for the more usual parabolic Fourier law, we consider the impact of hyperbolic heat-flow effects on thermal convection in the classic problem of a magnetized conducting fluid layer heated from below. For stationary convection, the system is equivalent to that studied by Chandrasekhar (Hydrodynamic and Hydromagnetic Stability, 1961), and with free boundary conditions we recover the classical critical Rayleigh number R c (Q, P 1 , P 2 , C) is given by a more complicated function of the thermal Prandtl number P 1 , magnetic Prandtl number P 2 and Cattaneo number C. To elucidate features of this dependence, we neglect P 2 (in which case overstability would be classically forbidden), and thereby obtain an expression for the Rayleigh number that is far less strongly inhibited by the field, with limiting behaviour R (o) c → π Q/C, as Q → ∞. One consequence of this weaker dependence is that onset of instability occurs as overstability provided C exceeds a threshold value C T (Q); indeed, crucially we show that when Q is large, C T ∝ 1/ Q, meaning that oscillatory modes are preferred even when C itself is small. Similar behaviour is demonstrated in the case of fixed boundaries by means of a novel numerical solution.

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Modeling the heating of biological tissue based on the hyperbolic heat transfer equation

Cited by 63 publications

References 13 publications

Modeling the Laser Thermal Therapy in Treatment of Brain Tumors

Modeling the Laser Thermal Therapy in Treatment of Brain Tumors

Optimization of the Laser/Cancer Treatment’s Planning and Thermal Dosimetry Control

Thermal convection in a magnetized conducting fluid with the Cattaneo–Christov heat-flow model

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