The Westervelt equation with a causal propagation operator coupled to the bioheat equation.
نویسندگان
چکیده
منابع مشابه
The solutions to the operator equation $TXS^* -SX^*T^*=A$ in Hilbert $C^*$-modules
In this paper, we find explicit solution to the operator equation $TXS^* -SX^*T^*=A$ in the general setting of the adjointable operators between Hilbert $C^*$-modules, when $T,S$ have closed ranges and $S$ is a self adjoint operator.
متن کاملChaos for the Hyperbolic Bioheat Equation
The Hyperbolic Heat Transfer Equation describes heat processes in which extremely short periods of time or extreme temperature gradients are involved. It is already known that there are solutions of this equation which exhibit a chaotic behaviour, in the sense of Devaney, on certain spaces of analytic functions with certain growth control. We show that this chaotic behaviour still appears when ...
متن کاملSimulation of nonlinear Westervelt equation for the investigation of acoustic streaming and nonlinear propagation effects.
This study investigates the influence of blood flow on temperature distribution during high-intensity focused ultrasound (HIFU) ablation of liver tumors. A three-dimensional acoustic-thermal-hydrodynamic coupling model is developed to compute the temperature field in the hepatic cancerous region. The model is based on the nonlinear Westervelt equation, bioheat equations for the perfused tissue ...
متن کاملFast Ultrasound Image Simulation Using the Westervelt Equation
The simulation of ultrasound wave propagation is of high interest in fields as ultrasound system development and therapeutic ultrasound. From a computational point of view the requirements for realistic simulations are immense with processing time reaching even an entire day. In this work we present a framework for fast ultrasound image simulation covering the imaging pipeline from the initial ...
متن کاملFast FFT-based bioheat transfer equation computation
This paper describes a modeling method of the tissue temperature evolution over time in hyper or hypothermia. The tissue temperature evolution over time is classically described by Pennes' bioheat transfer equation which is generally solved by a finite difference method. In this paper we will present a method where the bioheat transfer equation can be algebraically solved after a Fourier transf...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Evolution Equations and Control Theory
سال: 2016
ISSN: 2163-2480
DOI: 10.3934/eect.2016013