A Mathematical Model to Solve Bio-Heat Transfer Problems through a Bio-Heat Transfer Equation with Quadratic Temperature-Dependent Blood Perfusion under a Constant Spatial Heating on Skin Surface

Kengne, Emmanuel; Mellal, Idir; Hamouda, Mariem Ben; Lakhssassi, Ahmed

doi:10.4236/jbise.2014.79071

Cited by 10 publications

(3 citation statements)

References 14 publications

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“…The values of bioheat transfer equation coefficients employed in the simulation are presented in Table 3. It is worth noting that blood perfusion in a tumor is greater than that in healthy tissue owing to a more developed network of small blood vessels [97,98]. As a result of the performed modeling, thermal fields in tissues containing nBCC tumor without and with embedded SiNPs were calculated.…”

Section: Calculation Of Volumetric Temperature Distributionmentioning

confidence: 99%

Numerical Simulation of Enhancement of Superficial Tumor Laser Hyperthermia with Silicon Nanoparticles

et al. 2021

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Biodegradable and low-toxic silicon nanoparticles (SiNPs) have potential in different biomedical applications. Previous experimental studies revealed the efficiency of some types of SiNPs in tumor hyperthermia. To analyse the feasibility of employing SiNPs produced by the laser ablation of silicon nanowire arrays in water and ethanol as agents for laser tumor hyperthermia, we numerically simulated effects of heating a millimeter-size nodal basal-cell carcinoma with embedded nanoparticles by continuous-wave laser radiation at 633 nm. Based on scanning electron microscopy data for the synthesized SiNPs size distributions, we used Mie theory to calculate their optical properties and carried out Monte Carlo simulations of light absorption inside the tumor, with and without the embedded nanoparticles, followed by an evaluation of local temperature increase based on the bioheat transfer equation. Given the same mass concentration, SiNPs obtained by the laser ablation of silicon nanowires in ethanol (eSiNPs) are characterized by smaller absorption and scattering coefficients compared to those synthesized in water (wSiNPs). In contrast, wSiNPs embedded in the tumor provide a lower overall temperature increase than eSiNPs due to the effect of shielding the laser irradiation by the highly absorbing wSiNPs-containing region at the top of the tumor. Effective tumor hyperthermia (temperature increase above 42 °C) can be performed with eSiNPs at nanoparticle mass concentrations of 3 mg/mL and higher, provided that the neighboring healthy tissues remain underheated at the applied irradiation power. The use of a laser beam with the diameter fitting the size of the tumor allows to obtain a higher temperature contrast between the tumor and surrounding normal tissues compared to the case when the beam diameter exceeds the tumor size at the comparable power.

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Section: Calculation Of Volumetric Temperature Distributionmentioning

confidence: 99%

Numerical Simulation of Enhancement of Superficial Tumor Laser Hyperthermia with Silicon Nanoparticles

et al. 2021

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“…Mathematical models and computational simulations are commonly used to study and predict the such thermal behavior of tissues during laser therapy. The models take into account factors such as heat generation, heat conduction, and heat dissipation within the tissue, as well as the effects of blood flow and metabolism [3]. The Pennes Bioheat model, which was established in 1948 [4], serves as a fundamental basis for comprehending the thermal dynamics of tissues when exposed to laser radiation.…”

Section: Introductionmentioning

confidence: 99%

Bio-Thermal Non-Equilibrium Dynamics and Thermal Damage in Biological Tissues Induced by Multiple Pulse-Lasers Irradiations

Jawo,

Hassan

2024

Preprint

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Background: Laser therapy offers precise medical treatment by directing focused light beams to specific areas without harming surrounding tissue. This precision is particularly valuable in tissue treatment, including cancer therapy, where minimizing collateral damage is critical. The current study focuses on bio-thermal dynamics and thermal damage in biological tissues induced by multiple pulse-laser irradiations. Model: To examine the thermal behavior, the Local Thermal Non-Equilibrium (LTNE) bioheat Transfer model with porosity and dual lag effects is developed. The model contains partial differential equations and is solved by numerical method. Results: Obtained results demonstrate temperature variations and thermal damage in tissues, influenced by factors like laser intensity, incident duration, and tissue porosity. Higher intensity of laser and longer laser durations increase the temperature distribution and thermal damage as well. Porosity inversely affects temperature distribution, with higher porosity leading to decreased distribution. Novelty: This study introduces the application of multi-time lasers, a novel approach that has not been previously explored in the literature. By investigating the impact of laser parameters and tissue characteristics, it enhances understanding and guides the development of effective laser therapies for medical applications.

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“…Kengne et al [25] obtained an exact analytical solution of the BHTE with temperature-dependent blood perfusion, that describes the non uniform temperature distribution in biological tissue. Kumar et al [26] studied the DPL model of bioheat transfer by using the Gaussian distribution source term under most generalized boundary condition during hyperthermia treatment and derived an approximate analytical solution by the finite element Legendre wavelet Galerkin method.…”

Section: Introductionmentioning

confidence: 99%

Phase-Lag Effects in Skin Tissue During Transient Heating

Kumar

Vashishth

Ghangas

2019

International Journal of Applied Mechanics and Engineering

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A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux. The comparison between the TPL and dual-phase-lag (DPL) models is analyzed and the effects of phase lag parameters (τq, τt and τv) and material (k*) on the tissue temperature distribution are presented graphically.

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A Mathematical Model to Solve Bio-Heat Transfer Problems through a Bio-Heat Transfer Equation with Quadratic Temperature-Dependent Blood Perfusion under a Constant Spatial Heating on Skin Surface

Cited by 10 publications

References 14 publications

Numerical Simulation of Enhancement of Superficial Tumor Laser Hyperthermia with Silicon Nanoparticles

Numerical Simulation of Enhancement of Superficial Tumor Laser Hyperthermia with Silicon Nanoparticles

Bio-Thermal Non-Equilibrium Dynamics and Thermal Damage in Biological Tissues Induced by Multiple Pulse-Lasers Irradiations

Phase-Lag Effects in Skin Tissue During Transient Heating

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