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We model the operative treatment of incompetent truncal veins using endovenous laser ablation (EVLA). Three differential equations, namely the diffusion, the heat and the bioheat equations, are considered in the endovenous-perivenous…

Analysis of PDEs · Mathematics 2024-08-27 Luisa Consiglieri

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

Laser-induced interstitial thermotherapy (LITT) is applied to ex-vivo porcine livers. An artificial blood vessel is used to study the cooling effect of larger blood vessels in proximity to the ablation zone. The same setting is simulated…

Previously we have developed a free boundary model for local thermal coagulation induced by laser light absorption when the tissue region affected directly by laser light is sufficiently small and heat diffusion into the surrounding tissue…

Medical Physics · Physics 2007-05-23 I. A. Lubashevsky , V. V. Gafiychuk , A. V. Priezzhev

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

Subclinical leaflet thrombosis (SLT) is a potentially serious complication of aortic valve replacement with a bioprosthetic valve in which blood clots form on the replacement valve. SLT is associated with increased risk of transient…

Using PDE-constrained optimization we introduce a parameter identification approach which can identify the blood perfusion rate from MR thermometry data obtained during the treatment with laser-induced thermotherapy (LITT). The blood…

Optimization and Control · Mathematics 2025-10-14 Matthias Andres , Sebastian Blauth , Christian Leithäuser , Norbert Siedow

Clot formation is a common complication in extracorporeal circuits. In this paper we describe a novel method for clot formation analysis using image processing. We assembled a closed extracorporeal circuit and circulated blood at varying…

Computer Vision and Pattern Recognition · Computer Science 2013-04-02 Omid David , Rabin Gerrah

The study of thrombosis is crucial to understand and develop new therapies for diseases like deep vein thrombosis, diabetes related strokes, pulmonary embolism etc. The last two decades have seen an exponential growth in studies related to…

Medical Physics · Physics 2019-11-28 Sumith Yesudasan , Rodney D. Averett

Thrombotic vascular diseases contribute to significant global mortality, yet current therapeutic strategies face persistent challenges including bleeding risks, suboptimal efficiency, and procedural complexity. Here, we report a…

Medical Physics · Physics 2026-05-08 Xin Liao , Yi Hou , Jie Zhang , Bo Wang , Minghui Guo , Hua Qu , Wei Rao , Jing Liu

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

The Large Volume Plasma Device (LVPD) has successfully demonstrated excitation of Electron Temperature Gradient (ETG) driven turbulence in finite plasma beta condition , where the threshold condition for ETG turbulence is satisfied. The…

The objectives of this study are to model the endocardiac radiofrequency (RF) ablation procedure and to employ the Hyperbolic Bioheat Equation (HBE), which takes the thermal wave behaviour into account, comparing the results with those…

Analysis of PDEs · Mathematics 2012-04-03 Pengfei Liu , Jiquan Liu , Huilong Duan

A laser focussed onto a semiconductor film can create a disordered lamellae pattern of coexisting molten-solid regions. We present a continuum model based on the higher reflectivity of the molten regions. For large latent heat, this model…

Condensed Matter · Physics 2009-10-22 Chuck Yeung , Rashmi Desai

Blood coagulation is governed by tightly regulated reaction networks that unfold within a flowing, heterogeneous microvascular environment. Reduced kinetic models of the intrinsic and extrinsic pathways have seen limited in vitro…

Fluid Dynamics · Physics 2025-12-16 Marina Echeverria-Ferrero , Nicolas Moreno , Marco Ellero

Realistic description of patient-specific mechanical properties of clotting dynamics presents a major challenge. Available patient-specific data falls short of robustly characterizing myriads of complex dynamic interactions that happen…

Molecular Networks · Quantitative Biology 2017-05-23 Jayavel Arumugam , Arun Srinivasa

A quantitative theory is developed, which accounts for heating artifacts in three-pulse photon echo (3PE) experiments. The heat diffusion equation is solved and the average value of the temperature in the focal volume of the laser is…

Statistical Mechanics · Physics 2009-10-30 Peter Neu , Robert J. Silbey , Stephan J. Zilker , Dietrich Haarer

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 new phenomenon of enhancing the relativistic transparency of overdense plasmas by the influence of hot-electron refluxing has been found via particle-in-cell simulations. When a p-polarized laser pulse, with intensity below the…

Plasma Physics · Physics 2019-02-20 Yong Yu , Xiao-Ya Li , Zi-Yu Chen , Jia-Xiang Wang , Wen-Jun Zhu

Injuries to articular cartilage result in the development of lesions that form on the surface of the cartilage. Such lesions are associated with articular cartilage degeneration and osteoarthritis. The typical injury response often causes…

Tissues and Organs · Quantitative Biology 2011-09-08 Jason M. Graham , Bruce P. Ayati , Lei Ding , Prem S. Ramakrishnan , James A. Martin
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