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Relevant bibliographies by topics / Pennes' Bio-heat Equation

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Academic literature on the topic 'Pennes' Bio-heat Equation'

Author: Grafiati

Published: 5 June 2025

Last updated: 2 August 2025

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

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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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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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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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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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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Conference papers on the topic "Pennes' Bio-heat Equation"

1

Cundin, Luisiana X. "Spectral analysis of Pennes' bio-heat equation." In Biomedical Optics (BiOS) 2008, edited by Steven L. Jacques, William P. Roach, and Robert J. Thomas. SPIE, 2008. http://dx.doi.org/10.1117/12.772071.

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Cundin, Luisiana X., William P. Roach, and Nancy Millenbaugh. "Empirical comparison of Pennes' bio-heat equation." In SPIE BiOS: Biomedical Optics, edited by Steven L. Jacques, E. Duco Jansen, and William P. Roach. SPIE, 2009. http://dx.doi.org/10.1117/12.805577.

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Cristofaro, A., G. Cappellini, E. Staffetti, G. Trappolini, and M. Vendittelli. "Adaptive Estimation of the Pennes' Bio-Heat Equation - I: Observer Design." In 2023 62nd IEEE Conference on Decision and Control (CDC). IEEE, 2023. http://dx.doi.org/10.1109/cdc49753.2023.10383905.

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Shirvastava, Devashish, and Robert B. Roemer. "Evaluation of Tissue Convective Energy Balance Equation in Unheated Tissue With a Realistic Vessel Network." In ASME 2004 International Mechanical Engineering Congress and Exposition. ASMEDC, 2004. http://dx.doi.org/10.1115/imece2004-59776.

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This work presents the first numerical validation/sensitivity study of a new bio-heat equation, the tissue convective energy balance equation (TCEBE) in an unheated tissue with a simple but physiologically realistic 3D arterial blood vessel network. The validation of the TCEBE is performed by comparing its predictions of the tissue temperature field with the predictions of a test case in which the 3D conduction energy equation is solved in the tissue and the 1D convective energy equation is solved in the embedded blood vessel network. To perform the sensitivity analysis of the TCEBE, the effec

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Gangadhara, B., and Mariappan Panchatcharam. "Stability analysis for the discrete finite element model of the Pennes bio-heat equation." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: ICNAAM2022. AIP Publishing, 2024. http://dx.doi.org/10.1063/5.0210313.

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Sorgucu, Ugur, and Ibrahim Develi. "Thermal Analysis of Biological Tissues Exposed To Electromagnetic Fields by Using Pennes' Bio-Heat Transfer Equation." In 2021 IEEE International Conference on Electronics, Computing and Communication Technologies (CONECCT). IEEE, 2021. http://dx.doi.org/10.1109/conecct52877.2021.9622604.

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Cappellini, G., G. Trappolini, E. Staffetti, A. Cristofaro, and M. Vendittelli. "Adaptive Estimation of the Pennes' Bio-Heat Equation - II: A NN-Based Implementation for Real-Time Applications." In 2023 62nd IEEE Conference on Decision and Control (CDC). IEEE, 2023. http://dx.doi.org/10.1109/cdc49753.2023.10384113.

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Shelkey, J. D., E. J. Luke, D. Weinstein, R. B. Roemer, S. Clegg, and C. Johnson. "MRI Model Generation and Inverse Tumor Temperature, Vascular Flow and Perfusion Estimation During Hyperthermia Using a Computational Steering Tool: SCIRun." In ASME 1998 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1998. http://dx.doi.org/10.1115/imece1998-0787.

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Abstract SCIRun (Johnson and Roemer, 1997), a general framework for computational steering, is currently being modified to become a universally applicable and flexible package for simulating hyperthermia treatments. This package will integrate a highly interactive user interface with the following five modular programs: 1) the creation of a finite element mesh of either patient anatomies from medical imaging procedures or idealized anatomies from computational theoretical geometries; 2) the creation of a power deposition model applied to the FE mesh; 3) the solution of the resulting system of

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9

Narasimhan, Arunn, and Kaushal Kumar Jha. "Bio-Heat Transfer Model of Human Eye Subjected to Retinal Laser Irradiation." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22799.

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Retinopathy is a surgical process in which maladies of the human eye are treated by laser irradiation. A two-dimensional numerical model of the human eye geometry has been developed to investigate steady and transient thermal effects due to laser radiation. In particular, the influence of choroidal pigmentations and choroidal blood convection — parameterized as a function of choroidal blood perfusion are investigated in detail. The Pennes bio-heat transfer equation is invoked as the governing equation and a finite volume formulation is employed in the numerical method. The numerical model is v

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Shrivastava, Devashish, and Robert Roemer. "Theoretical Evaluation of Convective Heat Transfer Coefficients in Conjugated Problems Using the Second Law of Thermodynamics." In ASME 2002 International Mechanical Engineering Congress and Exposition. ASMEDC, 2002. http://dx.doi.org/10.1115/imece2002-39569.

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The Tissue Convective Energy Balance Equation (TCEBE) is a recently derived, general bio-heat transfer equation from which a derivation of Pennes BHTE can be obtained. To accurately implement the TCEBE it is necessary to obtain expressions for the values of the overall heat transfer coefficients between the blood vessels and the tissue. One of the requisite steps in evaluating the overall heat transfer coefficients is to estimate convective heat transfer coefficients between the blood vessels and the tissue. To achieve this goal, a new technique is presented using the second law of thermodynam

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