Abstract
Over the years, high intensity focused ultrasound (FUS) therapy has become a promising therapeutic alternative for non-invasive tumor treatment. The basic idea of FUS therapy is the elevation of the tissue temperature by the application of focused ultrasound beams to focal spot in the tumor. Biothermal modeling is utilized to predict dynamic temperature distributions generated and altered by the therapeutic heating modality, tissue energy storage and dissipation, and blood flow. Implementation of biothermal modeling in the planning, monitoring, control and evaluation of MR guided Focused Ultrasound (MRgFUS) therapies can help to minimize treatment time, maximize efficacy, and ensure the safety of healthy normal tissues, while increasing clinical confidence in MRgFUS treatments. Fast calculations of thermal doses can support in planning, conduction, and monitoring of such treatments. In the current study a GPU-based method in Matlab is proposed, for fast calculations of the temperature and cumulative equivalent minutes at 43° (CEM 43°) based on the bioheat equation. The performance of our proposed method was assessed with three GPUs (GTX 750, GTX 770 and Tesla C2050) for five grid sizes. The maximum speedup was achieved with the Tesla C2050 (~29) while GTX 750 demonstrated the lower performance (~15).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsReferences
Dewhirst, M.W., Vujaskovic, Z., Jones, E., Thrall, D.: Re-setting the biologic rationale for thermal therapy. Int. J. Hyperth. 21, 779–790 (2005)
Horsman, M.R., Overgaard, J.: Hyperthermia: a potent enhancer of radiotherapy. Clin. Oncol. (R Coll Radiol) 19, 418–426 (2007)
Rempp, H., Hoffmann, R., Roland, J., Buck, A., Kickhefel, A., Claussen, C.D., Pereira, P.L., Schick, F., Clasen, S.: Threshold-based prediction of the coagulation zone in sequential temperature mapping in MR-guided radiofrequency ablation of liver tumours. Eur. Radiol. 22, 1091–1100 (2012)
Malcolm, A.L., ter Haar, G.R.: Ablation of tissue volumes using high intensity focused ultrasound. Ultrasound Med. Biol. 22, 659–669 (1996)
Overgaard, J.: Effect of hyperthermia on malignant cells in vivo. A review and a hypothesis. Cancer 39, 2637–2646 (1977)
Vykhodtseva, N., McDannold, N., Martin, H., Bronson, R.T., Hynynen, K.: Apoptosis in ultrasound-produced threshold lesions in the rabbit brain. Ultrasound Med. Biol. 27, 111–117 (2001)
Fry, F.J., Johnson, L.K.: Tumor irradiation with intense ultrasound. Ultrasound Med. Biol. 4, 337–341 (1978)
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, 1333–1351 (1972)
Hynynen, K., Pomeroy, O., Smith, D.N., Huber, P.E., McDannold, N.J., Kettenbach, J., Baum, J., Singer, S., Jolesz, F.A.: MR imaging-guided focused ultrasound surgery of fibroadenomas in the breast: a feasibility study. Radiology 219, 176–185 (2001)
Sanghvi, N.T., Foster, R.S., Bihrle, R., Casey, R., Uchida, T., Phillips, M.H., Syrus, J., Zaitsev, A.V., Marich, K.W., Fry, F.J.: Noninvasive surgery of prostate tissue by high intensity focused ultrasound: an updated report. Eur. J. Ultrasound 9, 19–29 (1999)
Gelet, A., Chapelon, J.Y., Bouvier, R., Rouviere, O., Lasne, Y., Lyonnet, D., Dubernard, J.M.: Transrectal high-intensity focused ultrasound: minimally invasive therapy of localized prostate cancer. J. Endourol. 14, 519–528 (2000)
Raaymakers, B.W., Kotte, A.N.T.J., Lagendijk, J.J.: “Discrete vasculature (DIVA) model simulating the thermal impact of individual blood vessels for in vivo heat transfer”. In: Minkowycz, W.J. (ed.) Advances in Numerical Heat Transfer, vol. 3, pp. 121–148. CRC Press, Boca Raton, USA (2009)
Pennes, H.H.: Analysis of tissue and arterial blood temperatures in the resting human forearm. J. Appl. Physiol. 1, 93–122 (1948)
Minkowycz, W.J., Sparrow, E.M., Abraham, J.P.: Advances in Numerical Heat Transfer, vol. 3. CRC Press, Boca Raton, USA (2009)
Dillenseger, J.L., Esneault, S.: Fast FFT-based bioheat transfer equation computation. Comput. Biol. Med. 40, 119–123 (2010)
Georgii, J., von Dresky, C., Meier, S., Demedts, D., Schumann, C.: Focused ultrasound-efficient GPU simulation methods for therapy planning. In: 8th Workshop on Virtual Reality Interactions and Physical Simulations, pp. 119–128 (2011)
Canney, M.S., Bailey, M.R., Crum, L.A., Khokhlova, V.A., Sapozhnikov, O.A.: Acoustic characterization of high intensity focused ultrasound fields: a combined measurement and modeling approach. J. Acoust. Soc. Am. 124, 2406–2420 (2008)
Curra, F.P., Mourad, P.D., Khokhlova, V.A., Cleveland, R.O., Crum, L.A.: Numerical simulations of heating patterns and tissue temperature response due to high-intensity focused ultrasound. IEEE Trans. Ultrason. Ferroelectr. Freq. Control 47, 1077–1089 (2000)
Gutierrez, G.: Study of the bioheat equation with a spherical heat source for local magnetic hyperthermia. Mec. Comput. 3562–3572 (2007)
Sapareto, S.A., Dewey, W.C.: Thermal dose determination in cancer therapy. Int. J. Radiat. Oncol. Biol. Phys. 10, 787–800 (1984)
Liu, X., Cheng, L., Zhou, Q.: Research and comparison of CUDA GPU programming in Matlab and Mathematica. In: Proceedings of 2013 Chinese Intelligent Automation Conference, pp. 251–257 (2013)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2016 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Kalantzis, G., Miller, W., Tichy, W., LeBlang, S. (2016). A GPU Accelerated Finite Differences Method of the Bioheat Transfer Equation for Ultrasound Thermal Ablation. In: Lee, R. (eds) Software Engineering, Artificial Intelligence, Networking and Parallel/Distributed Computing. Studies in Computational Intelligence, vol 653. Springer, Cham. https://doi.org/10.1007/978-3-319-33810-1_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-33810-1_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-33809-5
Online ISBN: 978-3-319-33810-1
eBook Packages: EngineeringEngineering (R0)