Abstract |
Full Wave Ultrasonic Field and
Temperature Simulations in Inhomogeneous Biological Tissue
F.P.Curra, S.G.Kargl, L.A.Crum (Center
for Industrial and Medical Ultrasound, Applied Physics Laboratory, University
of Washington, Seattle, USA)
e-mail:
fcurra@apl.washington.edu
In
order to simulate ultrasound propagation and subsequent thermal effects in
biological media in which blood vessels and other structures may be present, a
3-dimensional model has been developed that eliminates the need for symmetry
constraints. The model is based on the coupled solution of the full-wave
nonlinear equation of sound in a lossy medium with the bioheat equation for
temperature computation. It includes nonlinear acoustic propagation, an
arbitrary frequency power law for attenuation, and is capable of treating
material inhomogeneities. Unlike other models based on parabolic
approximations, it is not restricted to near-axis solutions and can account for
multiple reflections and backscattered fields. Numerical solutions are obtained
by a pseudospectral method in the time domain applied to the first order system
of the constitutive acoustic equations. Propagation losses are included and
modeled by two independent relaxation processes. A finite difference time
domain approach, couples the transfer of energy from the ultrasound beam to the
medium to predict the temperature dynamics. Time varying, temperature
dependent, material parameters are also easily included in the model [Work supported in part by DARPA].
Section
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