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We analyze the necrosis growth due to thermal coagulation induced by laser light absorption and limited by heat diffusion into the surrounding live tissue. The tissue is assumed to contain a certain tumor in the undamaged tissue whereof the…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 B. Y. Datsko , V. V. Gafiychuk , I. A. Lubashevsky , A. V. Priezzhev

In the past, laser propagation in a fluid with heat transfer has been modeled using simplistic conduction and convection conditions yielding inaccurate predictions. Here we present a detailed numerical study describing the thermal profile…

Endovenous laser therapy (ELT) as a minimally invasive procedure for ablation of large superficial veins, nevertheless, can cause complications of thrombotic nature. In this regard, the study of the main patterns of thrombus formation…

Quantitative Methods · Quantitative Biology 2025-07-29 Anna A. Andreeva , Konstantin A. Klochkov , Alexey I. Lobanov

This paper proposes a method to regulate the tissue temperature during laser surgery by robotically controlling the laser focus. Laser-tissue interactions are generally considered hard to control due to the inherent inhomogeneity of…

Robotics · Computer Science 2023-04-20 Nicholas Pacheco , Yash Garje , Aakash Rohra , Loris Fichera

A new model is considered to describe the evolution of tissue temperature and water concentration during a thermal ablation process. The aim of this study is to expand the results obtained in Blauth et. al. 2020, where the tissue water…

Analysis of PDEs · Mathematics 2023-12-22 Federico Herrero-Hervás , Angiolo Farina

Asymptotic methods are used to derive a geometrically nonlinear beam model for thermoelastic solids with a spatially localised heat source. The asymptotic reduction is based on collapsing the heated region to a point. Away from the point of…

Classical Physics · Physics 2026-05-28 William T. Simpkins , Matteo Taffetani , Matthew G. Hennessy

We consider the homogenisation of a coupled reaction-diffusion process in a porous medium with evolving microstructure. A concentration-dependent reaction rate at the interface of the pores with the solid matrix induces a…

Analysis of PDEs · Mathematics 2022-06-01 David Wiedemann , Malte A. Peter

Laser-induced thermotherapy (LITT) is a minimally invasive method causing tumor destruction due to heat ablation and coagulative effects. Computer simulations can play an important role to assist physicians with the planning and monitoring…

Analysis of PDEs · Mathematics 2025-10-14 Sebastian Blauth , Frank Hübner , Christian Leithäuser , Norbert Siedow , Thomas J. Vogl

During laser and ultrasound thermotherapy it is always desirable to have a precise necrosis of deeply seated tumor preserving the adjoining healthy tissue with minimum thermally induced nociceptive pain sensation to the patient. The aim of…

Medical Physics · Physics 2020-07-29 Abhijit Paul , Anup Paul

Based on the phenomenological theory of heat diffusion, we show that the generated peak temperature $T_{\text{max}}$ after absorption of a laser pulse strongly depends on the pulse duration. We identify three different heat conduction…

Applied Physics · Physics 2020-02-26 Roman Shayduk , Peter Gaal

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

Thermocavitation, the creation of a vapor bubble by heating a liquid with a continuous-wave laser, has been studied for a wide range of applications. Examples include the development of an actuator for needle-free jet injectors, as the…

Fluid Dynamics · Physics 2024-01-08 Jelle J. Schoppink , Jose A. Alvarez-Chavez , David Fernandez Rivas

Rapid heating of small buried regions by laser generated fast electrons may be useful for applications such as XUV radiation sources or as drivers for shock experiments. In non-structured targets the heating profile possesses a global…

Plasma Physics · Physics 2016-10-12 Holger Schmitz , Alex P. L. Robinson

Colloids with patchy metal coating under laser irradiation could act as local sources of heat due to the absorption of light. While for asymmetric colloids this could induce self-propulsion, it also leads to the generation of a slowly…

Soft Condensed Matter · Physics 2015-05-30 Ramin Golestanian

Various unusual behaviors of artificial materials are governed by their topological properties, among which the edge state at the boundary of a photonic or phononic lattice has been captivated as a popular notion. However, this remarkable…

Applied Physics · Physics 2025-09-11 Minghong Qi , Dong Wang , Pei-Chao Cao , Xue-Feng Zhu , Cheng-Wei Qiu , Hongsheng Chen , Ying Li

In this tutorial, we aim to directly recreate some of our "aha" moments when exploring the impact of heat diffusion on the spatial resolution limit of photothermal imaging. Our objective is also to communicate how this physical limit can…

Numerical Analysis · Mathematics 2024-06-12 Peter Burgholzer , Günther Mayr , Gregor Thummerer , Markus Haltmeier

The radiation diffusion problem is a kind of {time-dependent} nonlinear equations. For solving the radiation diffusion equations, many linear systems are obtained in the nonlinear iterations at each time step. The cost of linear equations…

Numerical Analysis · Mathematics 2020-02-19 Shuai Ye , Hengbin An , Xinhai Xu

We report a model for hyperthermia therapies based on heat diffusion in a biological tissue containing a topological defect. Biological tissues behave like active liquid crystals with the presence of topological defects which are likely to…

Statistical Mechanics · Physics 2024-10-02 Andy Manapany , Loriane Didier , Leïla Moueddene , Bertrand Berche , Sébastien Fumeron

Microscale oxygenation plays a prominent role in tumour progression. Spatiotemporal variability of oxygen distribution in the tumour microenvironment contributes to cellular heterogeneity and to the emergence of normoxic and hypoxic…

Tissues and Organs · Quantitative Biology 2022-01-28 Jesús J. Bosque , Gabriel F. Calvo , María Cruz Navarro

We present preliminary experimental data that enable us to suggest that heat transfer in cellular tissue under local strong heating is a more complex phenomenon than a simple heat diffusion. Namely, we demonstrate that under local strong…

Soft Condensed Matter · Physics 2007-05-23 E. V. Davydov , I. A. Lubashevsky , V. A. Milyaev , R. F. Musin
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