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Journal articles on the topic 'Pennes' Bio-heat Equation'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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1

Liu, Kuo Chi, Cheng Chi Wang, and Po Jen Cheng. "Analysis of Non-Fourier Thermal Behavior in Layered Tissue with Pulse Train Heating." Applied Mechanics and Materials 479-480 (December 2013): 496–500. http://dx.doi.org/10.4028/www.scientific.net/amm.479-480.496.

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This paper investigates the thermal behavior in laser-irradiated layered tissue, which was stratified into skin, fat, and muscle. A modified nonFourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase lag model. This equation is a fourth order partial differential equation and can be simplified as the bio-heat transfer equations derived from Pennes model, thermal wave model, and the linearized form of dual-phase lag model. The boundary conditions at the interface between two adjacent layers become complicated. There are mathematical difficult

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2

Khanday, M. A., and Khalid Nazir. "Eigenvalue Expansion Approach to Study Bio-Heat Equation." Journal of Multiscale Modelling 07, no. 02 (2016): 1650002. http://dx.doi.org/10.1142/s1756973716500025.

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A mathematical model based on Pennes bio-heat equation was formulated to estimate temperature profiles at peripheral regions of human body. The heat processes due to diffusion, perfusion and metabolic pathways were considered to establish the second-order partial differential equation together with initial and boundary conditions. The model was solved using eigenvalue method and the numerical values of the physiological parameters were used to understand the thermal disturbance on the biological tissues. The results were illustrated at atmospheric temperatures [Formula: see text]C and [Formula

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3

Gurung, Dil Bahadur, and Dev Chandra Shrestha. "Mathematical Study of Temperature Distribution in Human Dermal Part during Physical Exercises." Journal of the Institute of Engineering 12, no. 1 (2017): 63–76. http://dx.doi.org/10.3126/jie.v12i1.16727.

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The purpose of this paper is to model metabolic rate that governs the behavior exhibited by various exercises over the period. This model equation is used in one dimensional Pennes’ bio-heat equation to study the temperature distribution in dermal part of tissue layers due to various exercises. The appropriate Dirichlet and Neumann boundary conditions are used. The solution of the bio-heat equation is then obtained using FEM technique and the simulated results are presented graphically. Journal of the Institute of Engineering, 2016, 12(1): 63-76

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4

Eduardo Peixoto, de Oliveira, and Gilmar Guimaräes. "Solving bio-heat transfer multi-layer equation using Green’s Functions method." Journal of Physics: Conference Series 2090, no. 1 (2021): 012150. http://dx.doi.org/10.1088/1742-6596/2090/1/012150.

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Abstract An analytical method using Green’s Functions for obtaining solutions in bio-heat transfer problems, modeled by Pennes’ Equation, is presented. Mathematical background on how treating Pennes’ equation and its μ2T term is shown, and two contributions to the classical numbering system in heat conduction are proposed: inclusion of terms to specify the presence of the fin term, μ2T, and identify the biological heat transfer problem. The presentation of the solution is made for a general multi-layer domain, deriving and showing general approaches and Green’s Functions for such n number of l

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5

Ziaei, Poor, Hassan Moosavi, and Amir Moradi. "Analysis of the dual phase lag bio-heat transfer equation with constant and time-dependent heat flux conditions on skin surface." Thermal Science 20, no. 5 (2016): 1457–72. http://dx.doi.org/10.2298/tsci140128057z.

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This article focuses on temperature response of skin tissue due to time-dependent surface heat fluxes. Analytical solution is constructed for DPL bio-heat transfer equation with constant, periodic and pulse train heat flux conditions on skin surface. Separation of variables and Duhamel?s theorem for a skin tissue as a finite domain are employed. The transient temperature responses for constant and time-dependent boundary conditions are obtained and discussed. The results show that there is major discrepancy between the predicted temperature of parabolic (Pennes bio-heat transfer), hyperbolic (

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6

Huang, H. W., C. L. Chan, and R. B. Roemer. "Analytical Solutions of Pennes Bio-Heat Transfer Equation With a Blood Vessel." Journal of Biomechanical Engineering 116, no. 2 (1994): 208–12. http://dx.doi.org/10.1115/1.2895721.

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The heat transfer within a perfused tissue in the presence of a vessel is considered. The bio-heat transfer equation is used for the perfused tissue and a lumped capacitance analysis is used for the convection in the vessel with a constant Nusselt number. Analytical solutions are obtained for two cases: (i) the arterial temperature of the perfused blood in the bio-heat transfer equation is equal to the axially varying mixed mean temperature of the blood in the vessel and, (ii) that arterial temperature is assumed to be constant. Dimensionless equilibrium length and temperature expressions are

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7

GOLNESHAN, ALI AKBAR, and MANSOUR LAHONIAN. "EFFECT OF HEATED REGION ON TEMPERATURE DISTRIBUTION WITHIN TISSUE DURING MAGNETIC FLUID HYPERTHERMIA USING LATTICE BOLTZMANN METHOD." Journal of Mechanics in Medicine and Biology 11, no. 02 (2011): 457–69. http://dx.doi.org/10.1142/s0219519410003824.

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This work uses the lattice Boltzmann model (LBM) to solve the Pennes bio-heat equation (BHE) to predict the temperature rise behavior occurring in cylindrical biological tissues during magnetic fluid hyperthermia (MFH). Therefore, LBM is extended to solve the bio-heat transfer problem with curved boundary conditions. Effect of magnetic nanoparticles' (MNPs) volume fraction as well as the vastness of heated region on the temperature distribution are shown. The analytical and numerical finite difference solutions reveal the accuracy of the model.

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8

Liu, Kuo-Chi, Po-Jen Cheng, and Yan-Nan Wang. "Analysis of non-Fourier thermal behavior for multi-layer skin model." Thermal Science 15, suppl. 1 (2011): 61–67. http://dx.doi.org/10.2298/tsci11s1061l.

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This paper studies the effect of micro-structural interaction on bioheat transfer in skin, which was stratified into epidermis, dermis, and subcutaneous. A modified non-Fourier equation of bio-heat transfer was developed based on the second-order Taylor expansion of dual-phase-lag model and can be simplified as the bio-heat transfer equations derived from Pennes? model, thermal wave model, and the linearized form of dual-phase-lag model. It is a fourth order partial differential equation, and the boundary conditions at the interface between two adjacent layers become complicated. There are mat

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9

Baish, J. W. "Formulation of a Statistical Model of Heat Transfer in Perfused Tissue." Journal of Biomechanical Engineering 116, no. 4 (1994): 521–27. http://dx.doi.org/10.1115/1.2895804.

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A new model of steady-state heat transport in perfused tissue is presented. The key elements of the model are as follows: (1) a physiologically-based algorithm for simulating the geometry of a realistic vascular tree containing all thermally significant vessels in a tissue; (2) a means of solving the conjugate heat transfer problem of convection by the blood coupled to three-dimensional conduction in the extravascular tissue, and (3) a statistical interpretation of the calculated temperature field. This formulation is radically different from the widely used Pennes and Weinbaum-Jiji bio-heat t

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10

TALAEE, MOHAMMAD REZA, and ALI KABIRI. "EXACT ANALYTICAL SOLUTION OF BIOHEAT EQUATION SUBJECTED TO INTENSIVE MOVING HEAT SOURCE." Journal of Mechanics in Medicine and Biology 17, no. 05 (2017): 1750081. http://dx.doi.org/10.1142/s0219519417500816.

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Presented is the analytical solution of Pennes bio-heat equation, under localized moving heat source. The thermal behavior of one-dimensional (1D) nonhomogeneous layer of biological tissue is considered with blood perfusion term and modeled under the effect of concentric moving line heat source. The procedure of the solution is Eigen function expansion. The temperature profiles are calculated for three tissues of liver, kidney, and skin. Behavior of temperature profiles are studied parametrically due to the different moving speeds. The analytical solution can be used as a verification branch f

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11

Huang, H. W., Z. P. Chen, and R. B. Roemer. "A Counter Current Vascular Network Model of Heat Transfer in Tissues." Journal of Biomechanical Engineering 118, no. 1 (1996): 120–29. http://dx.doi.org/10.1115/1.2795937.

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A fully conjugated blood vessel network model (FCBVNM) for calculating tissue temperatures has been developed, tested, and studied. This type of model represents a more fundamental approach to modeling temperatures in tissues than do the generally used approximate equations such as the Pennes’ BHTE or effective thermal conductivity equations. As such, this type of model can be used to study many important questions at a more basic level. For example, in the particular hyperthermia application studied herein, a simple vessel network model predicts that the role of counter current veins is minim

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12

Khanday, M. A., Fida Hussain, and Khalid Nazir. "Tissue necrosis and passage of fluid due to cold stress from the thermally damaged human body peripherals: A mathematical model." International Journal of Computational Materials Science and Engineering 04, no. 02 (2015): 1550012. http://dx.doi.org/10.1142/s2047684115500128.

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The development of cold injury takes place in the human subjects by means of crystallization of tissues in the exposed regions at severe cold temperatures. The process together with the evaluation of the passage of fluid discharge from the necrotic regions with respect to various degrees of frostbites has been carried out by using variational finite element technique. The model is based on the Pennes' bio-heat equation and mass diffusion equations together with suitable initial and boundary conditions. The results are analyzed in relation with atmospheric temperatures and other parameters of t

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13

Luitel, Kabita, Dil Bahadur Gurung, Harihar Khanal, and Kedar Nath Uprety. "Numerical Study of Transient Bio-Heat Transfer Model With Heat Transfer Coefficient and Conduction Effect in Cylindrical Living Tissue." Nepali Mathematical Sciences Report 36, no. 1-2 (2019): 17–26. http://dx.doi.org/10.3126/nmsr.v36i1-2.29967.

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The human thermal comfort is affected by the body’s heat exchange mechanism conduction, convection, radiation, and evaporation. The mode of heat transfer between the body and environment depends upon the human internal physiological phenomena, together with the boundary conditions. The present paper provides the comprehensive overview of the thermoregulatory system of human body and studies the numerical solution of unsteady-state one dimensional Pennes bio-heat equation with appropriate boundary conditions. The solution is used to observe the temperature profiles at different thermal conducti

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14

Lakhssassi, Ahmed, Emmanuel Kengne, and Hicham Semmaoui. "Modifed pennes' equation modelling bio-heat transfer in living tissues: analytical and numerical analysis." Natural Science 02, no. 12 (2010): 1375–85. http://dx.doi.org/10.4236/ns.2010.212168.

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15

Shrestha, Dev Chandra, Saraswati Acharya, and Dil Bahadur Gurung. "Two-Dimensional FEM Approach of Metabolic Effect on Thermoregulation in Human Dermal Parts During Walking and Marathon." Modelling and Simulation in Engineering 2023 (June 27, 2023): 1–17. http://dx.doi.org/10.1155/2023/5728385.

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The physiological mechanisms conduction, convection, and radiation exchange the heat energy in bi-directional routes between the body and the temperature field. Metabolism and evaporation are the uni-directional routes for the exchange of heat energy. In the metabolic process, the body creates internal heat energy, whereas the body loses excess heat energy through the evaporation process and maintains the body temperature. This study has shown steady and unsteady state temperature distribution in three skin layers: epidermis, dermis, and subcutaneous tissue, during walking and marathon. The re

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16

Khanday, M. A., and Fida Hussain. "Crank-Nicholson Scheme for the Estimation of Thermal Disturbance on the Peripheral Tissues of Human Body Subjected to Oscillatory Boundary Condition and Time Dependent Heat Source." Journal of Multiscale Modelling 06, no. 01 (2015): 1550001. http://dx.doi.org/10.1142/s1756973715500018.

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To predict the behaviour of thermal physiology of a finite biological tissue in severe cold climatic conditions, a mathematical model has been established based on Pennes' bio-heat transfer equation with oscillatory boundary condition and time dependent heat source term. Crank-Nicholson scheme has been employed to obtain the solution of the boundary value problem to understand the change in stable temperature profiles at the peripheral tissues of human body subjected to forced convection due to cold. Thermal stress at these regions with respect to different input parameters has been computed u

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17

LIU, Z. F., G. ZHAO, Y. H. CHENG, and D. Y. GAO. "HEATING EFFECT OF THERMALLY SIGNIFICANT BLOOD VESSELS IN PERFUSED TUMOR TISSUE DURING CRYOSURGERY." Journal of Mechanics in Medicine and Biology 12, no. 01 (2012): 1250019. http://dx.doi.org/10.1142/s0219519411004575.

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The purpose of this work is to evaluate the heating effect of thermally significant blood vessels (TSBVs) during cryosurgery process. A theoretical model is developed to describe the heat transfer of perfused tissue containing a 6 mm-radius tumor and a countercurrent artery–vein pair in the vicinity of the tumor. The novelty of the model is that both the Pennes bio-heat transfer equation and the energy transport equation are used to govern the heat transfer of perfused tumor tissue and the heat convection and diffusion of the blood flow. The explicit finite different method is used to solve th

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18

Kubugha, Wilcox Bunonyo, and Ziakede Awomi Paul. "The application of Pennes' bioheat equation to determine the effect of temperature on drug diffusion." World Journal of Biology Pharmacy and Health Sciences 13, no. 3 (2023): 001–11. https://doi.org/10.5281/zenodo.8031468.

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In this work, we discuss how temperature (internal heat) affects medication distribution between the stomach and circulatory compartments. The study shows that the behavior of medication distribution is related to high or low temperatures in the compartments under examination (the stomach and bloodstream). Here, we attempted to comprehend the behavior of a medicine supplied to the body over time by solving the models set up to mimic the system. The model (a system of ODEs) was solved both analytically and computationally using Wolfram Mathematica. The results reveal that as the temperature inc

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19

SORGUCU, Uğur. "Elektromanyetik Alana Maruz Kalmış Kas Dokusunun Termal Analizi." Deu Muhendislik Fakultesi Fen ve Muhendislik 25, no. 75 (2023): 693–700. http://dx.doi.org/10.21205/deufmd.2023257514.

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The interaction between electromagnetic fields and biological masses is increasing day by day. There are thousands of studies in the literature on this interaction. Until now, most of the studies on bio heat transfer have focused on damage caused by electromagnetic fields. However, the therapeutic side of electromagnetic fields has been neglected. This study aimed to bring a new perspective. Using the bio heat transfer equation, the temperature effect of different parameters due to the electromagnetic field was investigated. In the present study, the analytical solution of Pennes' bioheat tran

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20

Shrestha, Sharmila, Gokul KC, and Dil Bahadur Gurung. "Mathematical Study of Two-Dimensional Temperature Variation in Tumor Embedded Breast Tissue." Nepali Mathematical Sciences Report 38, no. 1 (2021): 16–30. http://dx.doi.org/10.3126/nmsr.v38i1.38894.

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The human body is made by 100 trillion cells. The uncontrolled and abnormal growth of cells causes tumors. Due to the presence of tumor, the skin surface temperature of body provides abnormal behavior than normal. Most of the breast tumor develops in lobules and milk ducts of glandular layer. In this study, tumor is assumed in glandular layer. The study of this work is focused to find the temperature distribution in tumor embedded female breast tissue with different tumor location and different tumor size. For this, the finite element method is used to solve two-dimensional Pennes bio heat equ

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21

Riaz, Muhammad Bilal, Aziz Ur Rehman, Jan Martinovic, and Muhammad Abbas. "Special function form solutions of multi-parameter generalized Mittag-Leffler kernel based bio-heat fractional order model subject to thermal memory shocks." PLOS ONE 19, no. 3 (2024): e0299106. http://dx.doi.org/10.1371/journal.pone.0299106.

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The primary objective of this research is to develop a mathematical model, analyze the dynamic occurrence of thermal shock and exploration of how thermal memory with moving line impact of heat transfer within biological tissues. An extended version of the Pennes equation as its foundational framework, a new fractional modelling approach called the Prabhakar fractional operator to investigate and a novel time-fractional interpretation of Fourier’s law that incorporates its historical behaviour. This fractional operator has multi parameter generalized Mittag-Leffler kernel. The fractional formul

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22

Akulova, Dayana V., and Mikhail A. Sheremet. "Mathematical Simulation of Bio-Heat Transfer in Tissues Having Five Layers in the Presence of a Tumor Zone." Mathematics 12, no. 5 (2024): 676. http://dx.doi.org/10.3390/math12050676.

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A presence of tumor zones within biological tissues can be defined during the analysis of the skin surface temperature. This research is devoted to mathematical simulation of the time-dependent bio-heat transfer in tissues under a tumor influence. The one-dimensional partial differential equation of the Pennes model has been used for description of bio-heat transfer within the biological tissue with five layers, namely, epidermis, papillary dermis, reticular dermis, subcutaneous adipose tissue, and a muscle layer. The formulated boundary-value problem has been solved using the developed in-hou

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Bensenane, Mohamed Nassim, Assia Rachida Senoudi, Reda Benmouna, and Fouzia Ould-Kaddour. "Analytical modeling of hyperthermia using magnetic nanoparticles." European Physical Journal Applied Physics 81, no. 3 (2018): 30901. http://dx.doi.org/10.1051/epjap/2018170423.

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Hyperthermia using magnetic nanoparticles (MNPs) is one of many techniques to treat cancer causing minimal damage to healthy tissues. In the present work we give an analytical resolution of the bio-heat equation (based on Pennes model) providing the temperature rise as a function of the characteristics of the magnetic nanoparticles, the applied magnetic field and the biological properties of the tissue. The temperature inside the tumor was found to be very sensitive to the frequency f of alternating magnetic field, magnetic field amplitude H0 and volume fraction φ. This study optimizes the int

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Zargar, F. A., Hilal A. Bhat, Mohd A. Zargar, and S. A. Malik. "Magnetic Nanoparticles in Cancer Thermotherapy: A Mathematical Approach to Optimal Treatment Design." MatSci Express 01, no. 02 (2024): 116–24. http://dx.doi.org/10.69626/mse.2024.0116.

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Thermotherapy, often called Hyperthermia treatment is a cancer treatment modality that involves raising the temperature of the tumor mass to over 315 K (42°C) for a specific duration, which leads to cell death through apoptosis or necrosis. Magnetic Particle Hyperthermia (MPH) is a non-invasive technique where magnetic nanoparticles are introduced into the tumor and then exposed to a magnetic field which convert magnetic energy into heat. Due to their high acidity, tumor cells are more sensitive to heat than healthy cells, meaning that heating the tumor to 315-319 K (42°C–46°C) can destroy it

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25

Sannyal, Mridul, Abul Mukid Mohammad Mukaddes, Md Matiar Rahman, and M. A. H. Mithu. "Analysis of the effect of external heating in the human tissue: A finite element approach." Polish Journal of Medical Physics and Engineering 26, no. 4 (2020): 251–62. http://dx.doi.org/10.2478/pjmpe-2020-0030.

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Abstract Thermal therapy which involves either raising or lowering tissue temperature to treat malignant cells needs precise acknowledgment of thermal history inside the biological system to ensure effective treatment. For this purpose, this study presents a two-dimensional unsteady finite element model (FEM) of the bioheat transfer problem based on Pennes bio-heat equation to analyze the thermal response of tissue subject to external heating. Crank-Nikolson scheme was used for the unsteady solution. A finite element code was developed using C language to calculate results. The obtained numeri

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26

Daschner, Rosa, Lorena Krames, Yannick Lutz, Axel Loewe, Olaf Dössel, and Giorgio Cattaneo. "Generation of a Simplified Brain Geometry for the Calculation of Local Cerebral Temperature using a 1D Hemodynamic Model." Current Directions in Biomedical Engineering 5, no. 1 (2019): 529–32. http://dx.doi.org/10.1515/cdbme-2019-0133.

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AbstractIn Western countries, stroke is the third-most cause of death; 35- 55% of the survivors experience permanent disability. Mild therapeutic hypothermia (TH) showed neuroprotective effect in patients returning from cardiac arrest and is therefore assumed to decrease stroke induced cerebral damage. Recently, an intracarotid cooling sheath was developed to induce local TH in the penumbra using the cooling effect of cerebral blood flow via collaterals. Computational modeling provides unique opportunities to predict the resulting cerebral temperature without invasive procedures. In this work,

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Yin, Chuhao, Huajin Su, Yuting Xie, et al. "Estimating in vivo power deposition density in thermotherapies based on ultrasound thermal strain imaging." Journal of the Acoustical Society of America 157, no. 1 (2025): 606–17. https://doi.org/10.1121/10.0034880.

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In thermal therapies, accurate estimation of in-tissue power deposition density (PDD) is essential for predicting temperature distributions over time or regularizing temperature imaging. Based on our previous work on ultrasound thermometry, namely, multi-thread thermal strain imaging (MT-TSI), this work develops an in vivo PDD estimation method. Specifically, by combining the TSI model infinitesimal echo strain filter with the bio-heat transfer theory (the Pennes equation), a finite-difference time-domain model is established to allow online extraction of the PDD. An alternating-direction impl

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Rawnsley, R. J., R. B. Roemer, and A. W. Dutton. "The Simulation of Discrete Vessel Effects in Experimental Hyperthermia." Journal of Biomechanical Engineering 116, no. 3 (1994): 256–62. http://dx.doi.org/10.1115/1.2895728.

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The ability of two simple thermal models to predict experimentally measured in vivo temperature profiles was compared. These comparisons were done both with and without the inclusion of separate, discrete blood vessels. The two tissue models were: 1) Pennes’ Bio-Heat Transfer equation (BHTE), and 2) an effective thermal conductivity equation (ETCE). The experimental temperature data were measured (Moros, 1990; Moros et al., 1993) in the thighs of anesthetized greyhound dogs under hyperthermic conditions generated by scanned focused ultrasound. Blood vessels were added to the thermal models in

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Polychronopoulos, Nickolas D., Apostolos A. Gkountas, Ioannis E. Sarris, and Leonidas A. Spyrou. "A Computational Study on Magnetic Nanoparticles Hyperthermia of Ellipsoidal Tumors." Applied Sciences 11, no. 20 (2021): 9526. http://dx.doi.org/10.3390/app11209526.

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The modelling of magnetic hyperthermia using nanoparticles of ellipsoid tumor shapes has not been studied adequately. To fill this gap, a computational study has been carried out to determine two key treatment parameters: the therapeutic temperature distribution and the extent of thermal damage. Prolate and oblate spheroidal tumors, of various aspect ratios, surrounded by a large healthy tissue region are assumed. Tissue temperatures are determined from the solution of Pennes’ bio-heat transfer equation. The mortality of the tissues is determined by the Arrhenius kinetic model. The computation

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Cappiello, Grazia, Richard Farnan, George Rahmani, et al. "ODP638 Towards the development of treatment planning for microwave thermal ablation of adrenal adenomas." Journal of the Endocrine Society 6, Supplement_1 (2022): A77—A78. http://dx.doi.org/10.1210/jendso/bvac150.161.

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Abstract Primary aldosteronism (PA) is the principal cause of secondary hypertension and accounts for 5-12% of all hypertension. PA is characterized by unregulated aldosterone secretion from unilateral or bilateral nodules on the adrenal glands. High levels of aldosterone are associated with an increased risk of cardiovascular and cerebrovascular complications. Conventional therapy includes adrenalectomy and mineralocorticoid receptor antagonists. These carry the challenges of surgical complication and poor tolerability to medication side effects. Moreover, no definitive therapy exists for bil

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Zou, Xiao, Shengyou Qian, Qiaolai Tan, and Hu Dong. "Formation of Thermal Lesions in Tissue and Its Optimal Control during HIFU Scanning Therapy." Symmetry 12, no. 9 (2020): 1386. http://dx.doi.org/10.3390/sym12091386.

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A high intensity focused ultrasound (HIFU) scanning approach is needed to obtain multiple treatment spots for the ablation of large volume tumors, but it will bring some problems such as longer treatment times, the inhomogeneity of temperature and thermal lesions in tissues. Although some optimal control methods have been proposed, it is difficult to take into account the uniformity, efficiency and entirety of thermal lesions. In this study, based on the Helmholtz equation and Pennes’ bio-heat transfer equation, a coupled acoustic-thermal field model is proposed to investigate the relationship

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ZHU, WEIPING, FANGBAO TIAN, and PENG RAN. "ANALYTICAL SOLUTIONS OF NON-FOURIER PENNES AND CHEN–HOLMES EQUATIONS." International Journal of Biomathematics 05, no. 04 (2012): 1250022. http://dx.doi.org/10.1142/s1793524511001647.

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The analytical solutions of non-Fourier Pennes and Chen–Holmes equations are obtained using the Laplace transformation and particular solution method in the present paper. As an application, the effects of the thermal relaxation time τ, the blood perfusion wb, and the blood flow velocity v on the biological skin and inner tissue temperature T are studied in detail. The results obtained in this study provide a good alternative method to study the bio-heat and a biophysical insight into the understanding of the heat transfer in the biotissue.

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Sharma, S., and K. Sharma. "Influence of Heat Sources and Relaxation Time on Temperature Distribution in Tissues." International Journal of Applied Mechanics and Engineering 19, no. 2 (2014): 427–33. http://dx.doi.org/10.2478/ijame-2014-0029.

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Abstract In the present study, the temperature fluctuations in tissues based on Penne’s bio-heat transfer equation is investigated by applying the Laplace and Hankel transforms. To get the solution in a physical form, a numerical inversion technique has been applied. The temporal and spatial distribution of temperature is investigated with the effect of relaxation time and is presented graphically.

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Akpolile, A., E. Mokobia, and J. Ikubor. "ANALYTICAL APPROACH TO THE PENNE’S BIOHEAT EQUATION FOR THE EVALUATION OF TEMPERATURE FOR DEEP SEATED TISSUES." Advances in Mathematics: Scientific Journal 10, no. 7 (2021): 2957–76. http://dx.doi.org/10.37418/amsj.10.7.4.

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In clinical practice, body temperature is an acclaimed indicator for diagnosis and treatments amongst other follow - ups. This work studied the temperature distribution in deep-seated tissues using Penne’s bio-heat equation (PBE). The analytical solution of the PBE was formulated using the separation of variable technique. The resulting solution gives an expression for tissue temperature in organs that are located inside the body. This revealed that the tissue temperature is subject to changes in tissue thickness, the distance of tissue from the skin surface and other thermal properties of tis

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Akpolile, A. F., C. E. Mokobia, J. E. Ikubor, F. O. Ugbede, and G. K. Agbajor. "A revised mathematical solution to the Penne bioheat equation for deep rooted tissues using the variable separation method." Scientia Africana 21, no. 1 (2022): 27–36. http://dx.doi.org/10.4314/sa.v21i1.3.

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The temperature distribution of tissues under the skin surface was obtained using Penne’s bio-heat equation and the separation of variables technique. The resulting solution indicated a slight temperature difference between the recorded skin temperature and the temperature of the tissue of interest (TOI), which is a direct indication of the TOI's temperature. According to the graphical analysis, temperature is proportionally related to time and tissue distance from the skin surface. As a result, the given analytic solution may be utilized to easily analyze deeprooted tissues while accounting f

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Ciesielski, Mariusz, Mateusz Duda, and Bohdan Mochnacki. "Comparison of bio-heat transfer numerical models based on the Pennes and Cattaneo-Vernotte equations." Journal of Applied Mathematics and Computational Mechanics 15, no. 4 (2016): 33–38. http://dx.doi.org/10.17512/jamcm.2016.4.04.

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Karim, Shna A., and Yousif M. Hassan. "Numerical Analysis of Breast Cancer Cell with Gold Nanoparticles Necrosis by Laser Hyperthermia." Polytechnic Journal 10, no. 2 (2020): 138–44. http://dx.doi.org/10.25156/ptj.v10n2y2020.pp138-144.

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Laser hyperthermia treatment of cancer tissue is widely used in cancer treatment to destroy cancer cells. This study focus on the mechanisms of heat transfer in biological tissues to minimize damage to the tissues resulting from extra heat applied. The important feature of this method is heating of specific region to raise its temperature to a threshold temperature and destroying cancer cells without to destroy surrounding tissue. In this study, we have used the combinations of laser light and gold nanoparticles to investigate the influence of nanoparticles on the spatial distribution of tempe

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Tang, Yundong, Yuesheng Wang, Rodolfo C. C. Flesch, and Tao Jin. "Effect of porous heat transfer model on different equivalent thermal dose methods considering an experiment-based nanoparticle distribution during magnetic hyperthermia." Journal of Physics D: Applied Physics, March 2, 2023. http://dx.doi.org/10.1088/1361-6463/acc07d.

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Abstract Magnetic fluid hyperthermia damages malignant cells by keeping the therapeutic temperature within a specific range after magnetic nanoparticles (MNPs) are exposed to an alternating magnetic field. The temperature distribution inside bio-tissue is usually predicted by a classic Pennes bio-heat transfer equation, which considers a heat source due to a homogeneous distribution for MNPs. Aiming at this problem, this study compares the Pennes model to a porous heat transfer model, named local thermal non-equilibrium equation, by considering an experiment-based MNPs distribution, and evalua

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Paszynski, Maciej. "Overview of Adaptive and Low-Rank Approximation Algorithms for Modeling of The Influence of Electromagnetic Waves Generated by The Cell Phone Antenna on The Human Head." Computer Science 22, no. 4 (2021). http://dx.doi.org/10.7494/csci.2021.22.4.4251.

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This paper presents an overview of formulations and algorithms dedicated to modeling the influence of electromagnetic waves on the human head. We start from the three-dimensional MRI scan of the human head. We approximate the MRI scan by the continuous approximation span over three-dimensional h adaptive mesh with quadratic polynomials. Next, we introduce time-harmonic Maxwell equations with a 1.8 GHz cell-phone antenna. We solve the problem of the propagation of electromagnetic waves on the human head. We compute the specific absorption rate used as the heat source for the Pennes bioheat equa

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Boregowda, Gangadhara, and Panchatcharam Mariappan. "Effect of high blood flow on heat distribution and ablation zone during microwave ablation‐numerical approach." International Journal for Numerical Methods in Biomedical Engineering, May 27, 2024. http://dx.doi.org/10.1002/cnm.3835.

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AbstractMicrowave ablation has become a viable alternative for cancer treatment for patients who cannot undergo surgery. During this procedure, a single‐slot coaxial antenna is employed to effectively deliver microwave energy to the targeted tissue. The success of the treatment was measured by the amount of ablation zone created during the ablation procedure. The significantly large blood vessel placed near the antenna causes heat dissipation by convection around the blood vessel. The heat sink effect could result in insufficient ablation, raising the risk of local tumor recurrence. In this st

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Ostadhossein, Rouhollah, and Siamak Hoseinzadeh. "The solution of Pennes' bio-heat equation with a convection term and nonlinear specific heat capacity using Adomian decomposition." Journal of Thermal Analysis and Calorimetry, July 12, 2022. http://dx.doi.org/10.1007/s10973-022-11445-x.

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AbstractPennes' bio-heat equation is the most widely used equation to analyze the heat transfer phenomenon associated with hyperthermia and cryoablation treatments of cancer. In this study, the semi-analytical and numerical solutions of Pennes' equation in a highly nonlinear form derived from renal cell carcinoma tissue's nonlinear specific heat capacity along with a freezing convection term were obtained and analyzed for the first time. Here, the governing equation was reduced to a lumped capacity form for simplification and exerted on a solid spherical renal tumor. In the following, two semi

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Alpers, Julian, Maximilian Rötzer, Marcel Gutberlet, Frank Wacker, Bennet Hensen, and Christian Hansen. "Adaptive simulation of 3D thermometry maps for interventional MR-guided tumor ablation using Pennes’ bioheat equation and isotherms." Scientific Reports 12, no. 1 (2022). http://dx.doi.org/10.1038/s41598-022-24911-1.

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AbstractMinimally-invasive thermal ablation procedures have become clinically accepted treatment options for tumors and metastases. Continuous and reliable monitoring of volumetric heat distribution promises to be an important condition for successful outcomes. In this work, an adaptive bioheat transfer simulation of 3D thermometry maps is presented. Pennes’ equation model is updated according to temperature maps generated by uniformly distributed 2D MR phase images rotated around the main axis of the applicator. The volumetric heat diffusion and the resulting shape of the ablation zone can be

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Youssef, Hamdy M., and Raafat A. A. Salem. "The dual-phase-lag bioheat transfer of a skin tissue subjected to thermo-electrical shock." Journal of Engineering and Thermal Sciences, October 25, 2022. http://dx.doi.org/10.21595/jets.2022.22945.

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The current paper is dealing with the thermal reaction and response of skin tissue subjected to a constant heat flux due to thermo-electrical shock on the bounding plane. The dual-phase-lag bio heat conduction equation based on the Tzou model has been applied and solved in the Laplace transform domain by using a direct method. The numerical inversions of the Laplace transform, and numerical solution has been obtained. The thermos-electrical shock for a small value of time has been considered with constant voltage and resistance. The temperature increment responses have been obtained and discus

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K.Ting, T. Chen K., L. Su Y., and J. Chang C. "Experiment and Simulation of Laser Effect on Thermal Field of Porcine Liver." May 29, 2012. https://doi.org/10.5281/zenodo.1075879.

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In medical therapy, laser has been widely used to conduct cosmetic, tumor and other treatments. During the process of laser irradiation, there may be thermal damage caused by excessive laser exposure. Thus, the establishment of a complete thermal analysis model is clinically helpful to physicians in reference data. In this study, porcine liver in place of tissue was subjected to laser irradiation to set up the experimental data considering the explored impact on surface thermal field and thermal damage region under different conditions of power, laser irradiation time, and distance between las

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Abbas, Ibrahim A., and Abhik Sur. "Thermomechanical interaction in a living tissue due to variable thermal loading with memory." ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, September 5, 2024. http://dx.doi.org/10.1002/zamm.202400398.

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AbstractIn order to address various clinical applications within living tissue, the aim of this work is to analytically study the thermomechanical interaction for a living tissue which is subjected to variable thermal loadings. Human tissues undergoing regional hyperthermia treatment for cancer therapy is based on graded changes of the cells, and as a consequences, the constitutive equations have been formulated using the nonlocal elasticity theory. The heat transport equation for the present problem is formulated in the context of Moore‐Gibson‐Thompson theory of generalized thermoelasticity a

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Patidar, Neelam, and Akshara Makrariya. "Mathematical model to analyse the skin layers temperature with cloth during and after exercise." Journal of Intelligent & Fuzzy Systems, September 2, 2023, 1–14. http://dx.doi.org/10.3233/jifs-231524.

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The human body is a complex system that can be disrupted by various types of infections and viruses, and body temperature is a major contributor to these problems. To prevent this, doctors recommend comfortable clothing made from good fabric. This paper proposes a model that can be used to analyze how different types of fabric impact the thermal profile of skin layers during and after physical activity. The information gained from this model could be useful in designing exercise apparel for different climates and in generating thermal stress protocols for treating infections and providing phys

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Sadeghi, B., V. Siahpoush, and A. Nikniazi. "A basic estimation on the light distribution and thermal behavior of the human skin through transfer matrix method coupled with Pennes’ bio-heat equation." Waves in Random and Complex Media, January 22, 2021, 1–17. http://dx.doi.org/10.1080/17455030.2020.1838666.

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Singh, Gajendra, Abhijit Paul, Himanshu Shekhar, and Anup Paul. "Pulsed Ultrasound Assisted Thermo-Therapy for Subsurface Tumor Ablation: A Numerical Investigation." Journal of Thermal Science and Engineering Applications 13, no. 4 (2021). http://dx.doi.org/10.1115/1.4048674.

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Abstract High-intensity focused ultrasound (HIFU) is a promising therapy for thermal ablation and hyperthermia, characterized by its non-invasiveness and high penetration depth. Effective HIFU thermo-therapy requires the ability to accurately predict temperature elevation and corresponding thermal dose distribution in target tissues. We report a parametric numerical study of the thermal response and corresponding of thermal dose in a soft tissue in response to ultrasound. We compared the predictions of tissue models with two, three, and seven layers, to ultrasound-induced heating at duty cycle

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Reddy, Innem V. A. K., Samar Elmaadawy, Edward P. Furlani, and Josep M. Jornet. "Photothermal effects of terahertz-band and optical electromagnetic radiation on human tissues." Scientific Reports 13, no. 1 (2023). http://dx.doi.org/10.1038/s41598-023-41808-9.

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AbstractThe field of wireless communication has witnessed tremendous advancements in the past few decades, leading to more pervasive and ubiquitous networks. Human bodies are continually exposed to electromagnetic radiation, but typically this does not impact the body as the radiation is non-ionizing and the waves carry low power. However, with progress in the sixth generation (6G) of wireless networks and the adoption of the spectrum above 100 GHz in the next few years, higher power radiation is needed to cover larger areas, exposing humans to stronger and more prolonged radiation. Also, wate

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Tavangari, Zahed, Mohammadreza Asadi, Rasoul Irajirad, et al. "3D modeling of in vivo MRI-guided nano-photothermal therapy mediated by magneto-plasmonic nanohybrids." BioMedical Engineering OnLine 22, no. 1 (2023). http://dx.doi.org/10.1186/s12938-023-01131-w.

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Abstract Background Nano-photothermal therapy (NPTT) has gained wide attention in cancer treatment due to its high efficiency and selective treatment strategy. The biggest challenges in the clinical application are the lack of (i) a reliable platform for mapping the thermal dose and (ii) efficient photothermal agents (PTAs). This study developed a 3D treatment planning for NPTT to reduce the uncertainty of treatment procedures, based on our synthesized nanohybrid. Methods This study aimed to develop a three-dimensional finite element method (FEM) model for in vivo NPTT in mice using magneto-pl

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