| A k-space method for large-scale models of wave propagation in tissue. | |
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MedLine Citation:
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PMID: 11370348 Owner: NLM Status: MEDLINE |
Abstract/OtherAbstract:
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Large-scale simulation of ultrasonic pulse propagation in inhomogeneous tissue is important for the study of ultrasound-tissue interaction as well as for development of new imaging methods. Typical scales of interest span hundreds of wavelengths; most current two-dimensional methods, such as finite-difference and finite-element methods, are unable to compute propagation on this scale with the efficiency needed for imaging studies. Furthermore, for most available methods of simulating ultrasonic propagation, large-scale, three-dimensional computations of ultrasonic scattering are infeasible. Some of these difficulties have been overcome by previous pseudospectral and k-space methods, which allow substantial portions of the necessary computations to be executed using fast Fourier transforms. This paper presents a simplified derivation of the k-space method for a medium of variable sound speed and density; the derivation clearly shows the relationship of this k-space method to both past k-space methods and pseudospectral methods. In the present method, the spatial differential equations are solved by a simple Fourier transform method, and temporal iteration is performed using a k-t space propagator. The temporal iteration procedure is shown to be exact for homogeneous media, unconditionally stable for "slow" (c(x) < or = c0) media, and highly accurate for general weakly scattering media. The applicability of the k-space method to large-scale soft tissue modeling is shown by simulating two-dimensional propagation of an incident plane wave through several tissue-mimicking cylinders as well as a model chest wall cross section. A three-dimensional implementation of the k-space method is also employed for the example problem of propagation through a tissue-mimicking sphere. Numerical results indicate that the k-space method is accurate for large-scale soft tissue computations with much greater efficiency than that of an analogous leapfrog pseudospectral method or a 2-4 finite difference time-domain method. However, numerical results also indicate that the k-space method is less accurate than the finite-difference method for a high contrast scatterer with bone-like properties, although qualitative results can still be obtained by the k-space method with high efficiency. Possible extensions to the method, including representation of absorption effects, absorbing boundary conditions, elastic-wave propagation, and acoustic nonlinearity, are discussed. |
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Authors:
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T D Mast; L P Souriau; D L Liu; M Tabei; A I Nachman; R C Waag |
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Publication Detail:
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Type: Journal Article; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, Non-P.H.S.; Research Support, U.S. Gov't, P.H.S. |
Journal Detail:
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Title: IEEE transactions on ultrasonics, ferroelectrics, and frequency control Volume: 48 ISSN: 0885-3010 ISO Abbreviation: IEEE Trans Ultrason Ferroelectr Freq Control Publication Date: 2001 Mar |
Date Detail:
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Created Date: 2001-05-23 Completed Date: 2001-06-28 Revised Date: 2007-11-14 |
Medline Journal Info:
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Nlm Unique ID: 9882735 Medline TA: IEEE Trans Ultrason Ferroelectr Freq Control Country: United States |
Other Details:
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Languages: eng Pagination: 341-54 Citation Subset: IM |
Affiliation:
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Applied Research Laboratory, Pennsylvania State University, University Park, PA 16802, USA. mast@sabine.acs.psu.edu |
Export Citation:
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| MeSH Terms | |
Descriptor/Qualifier:
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Adipose Tissue
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ultrasonography Algorithms Biomedical Engineering Humans Models, Biological* Scattering, Radiation Ultrasonography / statistics & numerical data* |
| Grant Support | |
ID/Acronym/Agency:
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1R29CA81688/CA/NCI NIH HHS; CA 74050/CA/NCI NIH HHS; DK 45533/DK/NIDDK NIH HHS; HL 50855/HL/NHLBI NIH HHS |
From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine
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