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Our purpose in this study was to present an integral-transform approach to the analytical solutions of the Pennes's bioheat transfer equation and to apply it to the calculation of temperature distribution in tissues in hyperthermia with…

Computational Engineering, Finance, and Science · Computer Science 2020-02-10 Kenya Murase

In modern surgery, a multitude of minimally intrusive operational techniques are used which are based on the punctual heating of target zones of human tissue via laser or radio-frequency currents. Traditionally, these processes are modeled…

Medical Physics · Physics 2008-11-21 M. M. Tung , M. Trujillo , J. A. Lopez Molina , M. J. Rivera , E. J. Berjano

A bio-heat transfer model for biological tissues in a micro-scale and periodical settings is investigated . It is assumed that the model is a two-component system consisting of solid particles representing tissue cells and interconnected…

Analysis of PDEs · Mathematics 2014-10-28 Abdelhamid Ainouz

Heat transfer and dissipation exists in almost any physical, chemical or biological systems. Cells, as the basic unit of life, undergo continuous heat transfer and dissipation during their metabolism. The heat transfer and dissipation…

Biological Physics · Physics 2019-01-03 Pei Song , He Gao , Miao Zhang , Fan Yang , Shan-Shan Li , Bin Kang , Jing-Juan Xu , Hong-Yuan Chen

This paper presents a comprehensive computer simulation of thermal processes in multilayered biological tissues for the analysis of luminance temperature distributions recorded by microwave radiometry. A mathematical model combining the…

Biological Physics · Physics 2025-10-21 Maxim V. Polyakov , Illarion E. Popov

Pennes' differential equation for bioheat transfer and the heat transfer equation are solved for the temperature distribution in a living tissue with spherical inclusions, irradiated by microwave power. It is shown that relative temperature…

Biological Physics · Physics 2013-12-20 Vladimir Shatalov

Within the environmental context, several tools based on simulations have been proposed to analyze the physical phenomena of heat and mass transfer in porous materials. However, it is still an open challenge to propose tools that do not…

Computational Engineering, Finance, and Science · Computer Science 2021-11-18 Julien Berger , Clemence Legros , Madina Abdykarim

We consider unsteady heat transfer in a one-dimensional harmonic crystal surrounded by a viscous environment and subjected to an external heat supply. The basic equations for the crystal particles are stated in the form of a system of…

Statistical Mechanics · Physics 2022-10-31 Serge N. Gavrilov , Anton M. Krivtsov , Denis V. Tsvetkov

Anomalous heat diffusion is investigated for biological tissues displaying a fractal structure and long-term thermal memory, which is modeled via a fractional derivative. For increasing values of the fractional derivation order, the tissue…

Biological Physics · Physics 2025-07-15 Sébastien Fumeron , Malte Henkel , Alexander López

During thermal heating surgical procedures such as electrosurgery, thermal ablative treatment and hyperthermia, soft tissue deformation due to tool-tissue interaction and patients' motion can affect the distribution of induced thermal…

Computational Engineering, Finance, and Science · Computer Science 2022-01-03 Jinao Zhang , Sunita Chauhan

In the present chapter, we discuss an approach for transition from discrete to continuum description of thermomechanical behavior of solids. The transition is carried out for several anharmonic systems: one-dimensional crystal,…

Statistical Mechanics · Physics 2017-08-01 Anton M. Krivtsov , Vitaly A. Kuzkin

The heat equation is considered in the complex system consisting of many small bodies (particles) embedded in a given material. On the surfaces of the small bodies a Newton-type boundary condition is imposed. An equation for the limiting…

Analysis of PDEs · Mathematics 2012-07-04 A. G. Ramm

Real-time analysis of bio-heat transfer is very beneficial in improving clinical outcomes of hyperthermia and thermal ablative treatments but challenging to achieve due to large computational costs. This paper presents a fast numerical…

Computational Engineering, Finance, and Science · Computer Science 2021-12-30 Jinao Zhang , Sunita Chauhan

The assessment of the thermal properties of walls is essential for accurate building energy simulations that are needed to make effective energy-saving policies. These properties are usually investigated through in-situ measurements of…

Applications · Statistics 2017-09-21 Marco Iglesias , Zaid Sawlan , Marco Scavino , Raul Tempone , Christopher Wood

When the variations of surface temperature are measured both spatially and temporally, analytical expressions that correctly account for multi-dimensional transient conduction can be applied. To enhance the accessibility of these accurate…

Instrumentation and Detectors · Physics 2024-12-03 David Buttsworth , Timothy Buttsworth

The aim of this study was to evaluate and compare temperature distributions for different tissues being treated at the time of interstitial microwave hyperthermia. A coaxial-slot antenna implemented into the tissue is the source of…

Medical Physics · Physics 2017-10-31 Piotr Gas

Energy transfer in small nanosized systems can be very different from that in their macroscopic counterparts due to reduced dimensionality, interaction with surfaces, disorder, and large fluctuations. Those ingredients may induce…

Statistical Mechanics · Physics 2023-04-05 Giuliano Benenti , Davide Donadio , Stefano Lepri , Roberto Livi

In this opinion piece, we discuss recent advances in experimental methods for characterizing phase change heat transfer. We begin with a survey of techniques for high-resolution measurements of temperature and heat flux at the solid surface…

Mesoscale and Nanoscale Physics · Physics 2014-08-04 Jacopo Buongiorno , David G. Cahill , Carlos H. Hidrovo , Saeed Moghaddam , Aaron J. Schmidt , Li Shi

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

Breast thermography provides a noninvasive and contact-free method for observing tumor-associated thermal anomalies. However, the extent to which surface temperature patterns reflect the internal physiology of a tumor remains an open…

Physics and Society · Physics 2026-05-08 Roni Muslim , Ramacos Fardela , Tista Artu Indra Kusuma
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