A 3-D finite-element model for computation of temperature profiles and regions of thermal damage during focused ultrasound surgery exposures

Ultrasound in Medicine and Biology

Volumn 24, Issue 9, 1998, Pages 1489-1499

  Meaney, Paul M ^a   Clarke, Robert L ^c   Ter Haar, Gail R ^b   Rivens, Ian H ^b  

^a DARTMOUTH COLLEGE   (United States)

^b INSTITUTE OF CANCER RESEARCH   (United Kingdom)

^c CARLETON UNIVERSITY   (Canada)

Author keywords

Bioheat equation; Finite element; Focused ultrasound surgery; Temperature distribution; Thermal dose

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; MATHEMATICAL MODELS; SURGERY; TEMPERATURE DISTRIBUTION; THERMAL EFFECTS; THREE DIMENSIONAL COMPUTER GRAPHICS; TISSUE; ULTRASONICS;

BIOHEAT EQUATIONS; FOCUSED ULTRASOUND SURGERY; THERMAL DAMAGE; THERMAL DOSE;

FINITE ELEMENT METHOD;

ANIMAL TISSUE; ARTICLE; CATTLE; LIVER INJURY; MATHEMATICAL ANALYSIS; NONHUMAN; PRIORITY JOURNAL; TEMPERATURE SENSITIVITY; THERMAL INJURY; THREE DIMENSIONAL IMAGING; ULTRASOUND;

ALGORITHMS; ANIMALS; BODY TEMPERATURE; CATTLE; FINITE ELEMENT ANALYSIS; HEAT; LIVER; MODELS, THEORETICAL; SWINE; ULTRASONIC THERAPY;

EID: 0032442138     PISSN: 03015629     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0301-5629(98)00102-1     Document Type: Article

References (38)

1. Beissner K. On the plane-wave approximation of acoustic intensity. J Acoust Soc Am. 71:(6):1982;1406-1411.
2. Baker AC. A numerical study of the effect of drive level on the intensity loss from an ultrasonic beam. Ultrasound Med Biol 1997;8:23(7):1083-1088.
3. Cahill M.D., Baker A.C. Increased off-axis energy deposition due to diffraction and nonlinear propagation of ultrasound from rectangular sources. J Acoust Soc Am. 102:1997;199-203.
4. Carslaw H.S., Jaeger J.C. Conduction of heat in solids. 1959;Oxford Science Publications, Oxford.
5. Carstensen E.L., Becroft S.A., Law W.K., Barbee D.B. Finite amplitude effects on the thresholds for lesion production in tissues by unfocused ultrasound. J Acoust Soc Am. 70:(2):1981;302-312.
6. Carstensen E.L., Law W.K., McKay N.D. Demonstration of nonlinear acoustical effects at biomedical frequencies and intensities. Ultrasound Med Biol. 6:1980;359-368.
7. Carstensen E.L., Miller M.W., Linke C.A. Biological effects of ultrasound. J Biol Phys. 2:1974;173-192.
8. Cavicchi T.J., O'Brien W.D. Jr. Heat generated by ultrasound in an absorbing medium. J Acoust Soc Am. 76:1984;1244-1245.
9. Clarke R.L. Modification of intensity distributions from large aperture ultrasound sources. Ultrasound Med Biol. 21:(3):1995;353-363.
10. Duck F.A. Physical properties of tissue, a comprehensive reference book. 1990;Academic Press, Harcourt Brace Jovanovich, London.
11. Golub G.H., van Loan C.F. Matrix computations. 2nd ed. 1989;193-259 Johns Hopkins Press, Baltimore, MD.
12. Goodmann J.W. Introduction to fourier optics. 1968;McGraw-Hill, New York.
13. Higham N.J. Fortran codes for estimating the one-norm of a real or complex matrix, with applications to condition estimation. Assoc Comput Machinery Trans Math Software. 14:(4):1988;381-396.
14. Hill C.R. Physical principles of medical ultrasound. 1986;118-190 John Wiley & Sons, London.
15. Hill C.R., Rivens I.H., Vaughan M.G., ter Haar G.R. Lesion development in focused ultrasound surgery a general model . Ultrasound Med Biol. 20:(3):1994;259-269.
16. Hynynen K. Demonstration of enhanced temperature elevation due to nonlinear propagation of focused ultrasound in dog's thigh in vivo. Ultrasound Med Biol. 13:(2):1987;85-91.
17. Hynynen K. The threshold for thermally significant cavitation in dog's thigh muscle in vivo. Ultrasound Med Biol. 17:(2):1991;157-169.
18. Hynynen K., Edwards D.K. Temperature measurements during ultrasound hyperthermia. Med Phys. 16:(4):1989;618-626.
19. Hynynen K., Chung A., Fjield T., Buchanan M., Daum D., Coluccic V., Lopath P., Jolesz F. Feasibility of using ultrasound phased arrays for MRI monitored noninvasive surgery. IEEE Trans Ultrasound Ferroelect Freq Control. 43:(6):1996;1043-1053.
20. Kolios M.C., Sherar M.D., Hunt J.W. Blood flow cooling and ultrasonic lesion formation. Med Phys. 23:(7):1996;1287-1298.
21. Lizzi F.L., Driller J., Ostromogilsky M. Thermal model for ultrasound treatment of glaucoma. Ultrasound Med Biol. 10:(3):1984;289-298.
22. Lizzi F.L., Driller J., Lunzer B., Kalisz A., Coleman D.J. Computer model of ultrasonic hyperthermia and ablation for ocular tumors using B-mode data. Ultrasound Med Biol. 18:(1):1992;59-73.
23. Mair H.D., Hutchins D.A., Puhach P.A. Intensity fields of continuous-wave axisymmetric transducers. J Acoust Soc Am. 81:(2):1987;328-334.
24. Malcolm A.L., ter Haar G.R. Ablation of tissue volumes using high intensity focused ultrasound. Ultrasound Med Biol. 22:(5):1996;659-669.
25. McGough R.J., Kessler M.L., Ebbini E.S., Cain C.A. Treatment planning for hyperthermia with ultrasound phased arrays. IEEE Trans Ultrasound Ferroelect Freq Control. 43:(6):1996;1074-1084.
26. Nyborg W.L. Heat generation by ultrasound in a relaxing medium. J Acoust Soc Am. 70:1981;310-312.
27. Nyborg W.L., Steele R.B. Temperature elevation in a beam of ultrasound. Ultrasound Med Biol. 9:1983;611-620.
28. Paulsen K.D., Strohbehn J.W., Lynch D.R. Theoretical temperature distributions produced by an annular phased array-type system in CT-based patient models. Radiation Res. 100:1984;536-552.
29. Pennes H.H. Analysis of tissue and arterial blood temperatures in the resting human forearm. J Appl Physiol. 1:(2):1948;93-122.
30. Pond J.B. The role of heat in the production of ultrasonic focal lesions. J Acoust Soc Am. 47:1969;1607-1611.
31. Press W.H., Teukolsky S.A., Vetterling W.T., Flannery B.P. Numerical recipes in C the art of scientific computing . 2nd ed. 1992;827-888 Cambridge University Press, Cambridge.
32. Reddy J.N. An introduction to the finite element method. 1993;McGraw-Hill International Editions, New York.
33. Robinson T.C., Lele P.P. An analysis of lesion development in the brain and in plastics by high-intensity focused ultrasound at low-megahertz frequencies. J Acoust Soc Am. 51:(2):1972;1333-1351.
34. Sapareto S.A., Dewey W.C. Thermal dose determination in cancer therapy. Int J Radiat Oncol Biol Phys. 10:1984;787-800.
35. Starritt H.C., Duck F.A., Humphrey V.F. Forces acting in the direction of propagation in pulsed ultrasound fields. Phys Med Biol. 36:(11):1991;1465-1474.
36. Verma P.K., Humphrey V.F., Starritt H.C. Enhanced absorption due to nonlinear propagation in diagnostic ultrasound. Hobaek H. Proceedings of the 13th ISNA. 1993;297-302 World Scientific Press.
37. Wan H., VanBaren P., Ebbini E.S., Cain C.A. Ultrasound surgery comparison of strategies using phased array systems . IEEE Trans Ultrasound Ferroelect Freq Control Singapore. 43:(6):1996;1085-1098.
38. Wu J., Nyborg W.L. Temperature rise generated by a focused Gaussian beam in a two layer medium. Ultrasound Med Biol. 18:(3):1992;293-302.