نتایج جستجو برای: bioheat equation

تعداد نتایج: 229793  

2004
Chao Tao Jing Mu Gonghuan Du

This paper simulates the temperature field generated by a high intensity focused ultrasound (HIFU) in a tissue-like material. The linear and nonlinear HIFU field are predicted respectively by solving the linear and nonlinear spherodial beam equations (SBE) using frequency domain method. And the temperature field is simulated by solving the “bioheat equation” with the finite-difference time-doma...

Journal: :Applied Mathematics and Computation 2005
Jennifer J. Zhao Jun Zhang Ning Kang Fuqian Yang

We develop a new two level finite difference scheme for the 1D Pennes bioheat equation. We further prove that the scheme is stable and convergent unconditionally. Numerical experiments for a skin-heating model are conducted. 2005 Elsevier Inc. All rights reserved. 0096-3003/$ see front matter 2005 Elsevier Inc. All rights reserved. doi:10.1016/j.amc.2005.01.052 * Corresponding author. E-mail ad...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه مازندران - دانشکده ریاضی 1390

ابتدا تعاریف و مفاهیمی را که در این رساله مورد استفاده قرار می گیرد را بیان می کنیم. سپس به معرفی فضاهایی می پردازیم که با آن ها سر و کار خواهیم داشت. و‎‎‎‎‎ در پایان به معرفی چند قضیه و اصل می پردازیم. رده ای از دستگاه های بیضوی شبه خطی تباهیده ‎egin{equation*}‎ ‎left{egin{array}{ll}‎ -‎div (h_1 (x)| abla u|^{p-2} abla u )=lambda a(x)|u|^{p-2}u‎ +‎lambda b(x)|u|^{alpha-1}|v|^{eta+1}u+f...

2013

Here, the Dual Reciprocity Boundary Element Method is used to solve the 3D Pennes Bioheat Equation, which together with a Genetic Algorithm, produces an inverse model capable of obtaining the location and the size of a tumour, having as data input the temperature distribution measured on the skin surface. Given that the objective function, which is solved inversely, involves the DRBEM (Dual Rec...

2010
Hrvoje Dodig Andrés Peratta Dragan Poljak

The paper studies the thermal rise in the human eye caused by time harmonic electromagnetic waves. An eye has been illuminated by a high frequency plane wave with power density 5.0 mW/cm. Such a problem has been considered as an electromagnetic scattering problem since part of EM energy is transmitted to the eye and part of it is reflected. The total electric field inside an eye and related Spe...

2009
M. Cvetković A. Peratta D. Poljak

In the last few decades laser eye surgery has been implemented in various ophthalmic procedures. The most important issue with laser eye surgery is the estimation of temperature rise in eye tissues due to the absorption of high intensity laser radiation. The 2D model of the human eye, using the Finite Elements Method, is developed in order to study the temperature distribution in human eyes sub...

Journal: :Ultrasound in medicine & biology 2010
Xiaozhou Liu Chang Yin Xiufen Gong Wenwu Cao

Temperature distribution in tissues behind ribs produced by weakly focused ultrasound had been calculated using Pennes bioheat equation and the validity of the theoretical model was experimentally confirmed in vitro using porcine live. We found that the position of the maximum temperature in tissue is strongly influenced by the distance between the transducer and ribs, while the gap between rib...

2015
Yufeng Zhou Mingjun Wang

Liver ablation is challenging in high-intensity focused ultrasound (HIFU) because of the presence of ribs and great inhomogeneity in multi-layer tissue. In this study, angular spectrum approach (ASA) has been used in the wave propagation from phased-array HIFU transducer, and diffraction, attenuation and the nonlinearity are accounted for by means of second order operator splitting method. Bioh...

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