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In the present article the diffusion equation is used to model the spatio-temporal dynamics of a tumor, taking into account the heterogeneous of the medium. This approach makes it possible to take into account the complex geometric shape of…

Biological Physics · Physics 2023-02-07 Maxim V. Polyakov , Valeria V. Ten

Photothermal therapies are based on the optical excitation of plasmonic nanoparticles in the biological environment. The effects of the irradiation on the biological medium depend critically on the heat transfer process at the nanoparticle…

Computational Physics · Physics 2017-11-21 Andrea Torchi , Federica Simonelli , Riccardo Ferrando , Giulia Rossi

Accurate quantification of the extent of lung pathological patterns (fibrosis, ground-glass opacity, emphysema, consolidation) is prerequisite for diagnosis and follow-up of interstitial lung diseases. However, segmentation is challenging…

Image and Video Processing · Electrical Eng. & Systems 2025-01-08 Rezkellah Noureddine Khiati , Pierre-Yves Brillet , Radu Ispas , Catalin Fetita

Thermal waves are caused by pure diffusion: their amplitude is decreased by more than a factor of 500 within a propagation distance of one wavelength. The diffusion equation, which describes the temperature as a function of space and time,…

Statistical Mechanics · Physics 2016-01-20 Peter Burgholzer

We analyze the effect of blood flow through large arteries of peripheral circulation on heat transfer in living tissue. Blood flow in such arteries gives rise to fast heat propagation over large scales, which is described in terms of heat…

Soft Condensed Matter · Physics 2007-05-23 I. A. Lubashevsky , V. V. Gafiychuk , B. Y. Datsko

In outside the body HIFU treatment that focused ultrasound beams hit severely with cancer tissue layer especially the soft one, at the time of passage of the body different layers as long as they want to reach tumor, put their own way…

A novel form of Ramsey narrowing is identified and characterized. For long-lived coherent atomic states coupled by laser fields, the diffusion of atoms in-and-out of the laser beam induces a spectral narrowing of the atomic resonance…

Quantum Physics · Physics 2015-06-26 Yanhong Xiao , Irina Novikova , David F. Phillips , Ronald L. Walsworth

The accurate assessment of the local tritium concentration in the tokamak first wall by means of the laser-induced desorption (LID) diagnostic is sought as one the key solutions to monitoring the local radioactive tritium content in the…

Plasma Physics · Physics 2023-08-14 A. A. Stepanenko , Yu. M. Gasparyan

We propose a diffusion model for the recently discovered diffusion-induced Ramsey narrowing arising when atoms diffuse in a buffer-gas cell in the laser radiation field. The diffusion equation for the coherence of metastable states coupled…

Atomic Physics · Physics 2010-07-27 V. I. Romanenko , A. V. Romanenko , L. P. Yatsenko

A sensitive optical diffractometry method is developed and utilized for advanced tomography of laser-induced air plasma formations. Using transverse diffractometry and Supergaussian plasma distribution modelling we extract the main…

Plasma Physics · Physics 2024-08-07 Ivan Ostrovsky , Gilad Hurvitz , Eli Bograd , Eli Flaxer , Soumitra Hazra , Sharly Fleischer

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 2023-10-24 Peter Burgholzer , Johannes Bauer-Marschallinger , Mike Hettich , Markus Haltmeier

Metal films and other geometries of nanoscale thickness, when exposed to laser irradiation, melt and evolve as fluids as long as their temperature is sufficiently high. This evolution often leads to pattern formation, which may be…

Materials Science · Physics 2026-05-12 Ryan H. Allaire , Linda J. Cummings , Lou Kondic

We develop in this note a homogenization method to tackle the problem of a diffusion process through a cracked medium. We show that the cracked surface of the domain induces a source term in the homogenized equation. We assume that the…

Analysis of PDEs · Mathematics 2013-05-28 Xavier Blanc , Benjamin Edouard Peigney

We develop an analytical theory for diffusive random lasers by coupling the transport theory of the disordered medium to the semiclassical laser rate equations, accounting for (coherent) stimulated and (incoherent) spontaneous emission.…

Disordered Systems and Neural Networks · Physics 2012-03-27 R. Frank , A. Lubatsch , J. Kroha

We present a first-principles study of heat conduction in a class of models which exhibit a new multi-step local thermalization mechanism which gives rise to Fourier's law. Local thermalization in our models occurs as the result of binary…

Statistical Mechanics · Physics 2008-07-08 Pierre Gaspard , Thomas Gilbert

In this work we study a tissue growth model with applications to tumour growth. The model is based on that of Perthame, Quir\'os, and V\'azquez proposed in 2014 but incorporates the advective effects caused, for instance, by the presence of…

Analysis of PDEs · Mathematics 2021-03-04 Noemi David , Markus Schmidtchen

Heat-based cancer treatment, so-called hyperthermia, can be used to destroy tumour cells directly or to make them more susceptible to chemotherapy or radiation therapy. To apply heat locally, iron oxide nanoparticles are injected into the…

Computational Engineering, Finance, and Science · Computer Science 2025-02-04 Barbara Wirthl , Paolo Decuzzi , Bernhard A. Schrefler , Wolfgang A. Wall

We consider a free boundary problem for a system of PDEs, modeling the growth of a biological tissue. A morphogen, controlling volume growth, is produced by specific cells and then diffused and absorbed throughout the domain. The geometric…

Analysis of PDEs · Mathematics 2017-11-22 Alberto Bressan , Marta Lewicka

We report a 2D modeling of the thermal diffusion-controlled growth of a vapor bubble attached to a heating surface during saturated boiling. The heat conduction problem is solved in a liquid that surrounds a bubble with a free boundary and…

Fluid Dynamics · Physics 2016-01-27 Vadim Nikolayev , Daniel Beysens , G. -L. Lagier , J. Hegseth

Studies on out-of-equilibrium dynamics have paved a way to realize a new state of matter. Especially, superconductor-like properties above room temperatures recently suggested in copper oxides achieved by selectively exciting vibrational…

Superconductivity · Physics 2017-08-22 Kota Ido , Takahiro Ohgoe , Masatoshi Imada