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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

A holistic simulation framework is established on magnetic hyperthermia modeling to solve the treatment process of tumor, which is surrounded by a healthy tissue block. The interstitial tissue fluid, MNP distribution, temperature 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

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

In this study, we conduct a study on magnetic hyperthermia treatment when a vessel is located near the tumor. The holistic framework is established to solve the process of tumor treatment. The interstitial tissue fluid, MNP distribution,…

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 developed a mathematical model to simulate the growth of tumor volume and its response to a single fraction of high dose irradiation. We made several key assumptions of the model. Tumor volume is composed of proliferating (or dividing)…

Medical Physics · Physics 2015-11-13 Yoichi Watanabe , Erik L. Dahlman , Kevin Z. Leder , Susanta K. Hui

Since decades, many techniques have been developed for curing cancer. Here, an effort has been made to cure tumor by inserting a cryoprobe into the target region which is connected to a cryogenic mechanism. This technique is presently used…

Medical Physics · Physics 2022-12-23 G Sai Krishna , Anup Paul

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

Hot spots in tumors are regions of high vascular density in the center of the tumor and their analysis is an important diagnostic tool in cancer treatment. We present a model for vascular remodeling in tumors predicting that the formation…

Tissues and Organs · Quantitative Biology 2008-01-07 Michael Welter , Katalin Bartha , Heiko Rieger

Tracking and characterizing the blood uptake process within solid pancreatic tumors and the subsequent spatio-temporal distribution of red blood cells are critical to the clinical diagnosis of the cancer. This systematic computational study…

Medical Physics · Physics 2021-11-04 Mohammad Mehedi Hasan Akash , Nilotpal Chakraborty , Saikat Basu

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

Tumor growth has long been a target of investigation within the context of mathematical and computer modelling. The objective of this study is to propose and analyze a two-dimensional probabilistic cellular automata model to describe…

Tissues and Organs · Quantitative Biology 2009-11-13 E. A. Reis , L. B. L. Santos , S. T. R. Pinho

The problem of the onset and growth of solid tumour in homogeneous tissue is regarded using an approach based on local interaction between the tumoral and the sane tissue cells. The characteristic sizes and growth rates of spherical…

Cell Behavior · Quantitative Biology 2007-05-23 R. G. Khlebopros , V. A. Slepkov , V. G. Sukhovolsky , Y. V. Mironov , V. E. Fedorov , S. P. Gabuda

We present a two-dimensional continuum model of tumor growth, which treats the tissue as a composition of six distinct fluid phases; their dynamics are governed by the equations of mass and momentum conservation. Our model divides the…

Populations and Evolution · Quantitative Biology 2021-02-12 I. Lampropoulos , M. Kavousanakis

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

The acid-mediated tumor invasion hypothesis proposes that altered glucose metabolism exhibited by the vast majority of tumors leads to increased acid (H+ ion) production which subsequently facilitates tumor invasion [1-3]. The…

Tissues and Organs · Quantitative Biology 2019-06-10 Ahmed M. Fouad

A simplified 2-D model which is an example of regional RF hyperthermia is presented. Human body is inside the wire with exciting current and the electromagnetic energy is concentrated within the tumor. The analyzed model is therefore a…

Medical Physics · Physics 2017-10-31 Piotr Gas

Under continuous laser irradiation, noble metal nanoparticles immersed in water can quickly heat up, leading to the nucleation of so-called plasmonic bubbles. In this work, we want to further understand the bubble nucleation and growth…

The transformation of the regular vasculature in normal tissue into a highly inhomogeneous tumor specific capillary network is described by a theoretical model incorporating tumor growth, vessel cooption, neo-vascularization, vessel…

Tissues and Organs · Quantitative Biology 2016-09-08 K. Bartha , H. Rieger
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