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Original Article

Application of the time-dependent Green's function and Fourier transforms to the solution of the bioheat equation

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Pages 267-285 | Received 16 Sep 1993, Accepted 16 Jun 1994, Published online: 09 Jul 2009

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Mauricio A. Giordano, Gustavo Gutierrez & Carlos Rinaldi. (2010) Fundamental solutions to the bioheat equation and their application to magnetic fluid hyperthermia. International Journal of Hyperthermia 26:5, pages 475-484.
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W. L. STRAUBE, E. G. MOROS, R. J. MYERSON, X. FAN. (1999) A two-parameter method for the estimation of ultrasound-induced temperature artifacts. International Journal of Hyperthermia 15:3, pages 187-202.
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Moataz Alosaimi, Daniel Lesnic & Jitse Niesen. (2020) Reconstruction of the thermal properties in a wave-type model of bio-heat transfer. International Journal of Numerical Methods for Heat & Fluid Flow 30:12, pages 5143-5167.
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Nicholas J. Freeman, Henrik Odéen & Dennis L. Parker. (2018) 3D‐specific absorption rate estimation from high‐intensity focused ultrasound sonications using the Green's function heat kernel. Medical Physics 45:7, pages 3109-3119.
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M. A. Khanday & Khalid Nazir. (2016) Eigenvalue Expansion Approach to Study Bio-Heat Equation. Journal of Multiscale Modelling 07:02, pages 1650002.
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Phong Thanh Nguyen, Amin Abbosh & Stuart Crozier. (2015) Microwave Hyperthermia for Breast Cancer Treatment Using Electromagnetic and Thermal Focusing Tested on Realistic Breast Models and Antenna Arrays. IEEE Transactions on Antennas and Propagation 63:10, pages 4426-4434.
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Emmanuel Kengne & Ahmed Lakhssassi. (2015) Analytico-numerical study of bio-heat transfer problems with temperature-dependent perfusion. The European Physical Journal Plus 130:5.
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Gregory H. Griffin, Kevan J.T. Anderson, Haydar Celik & Graham A. Wright. (2015) Safely assessing radiofrequency heating potential of conductive devices using image-based current measurements. Magnetic Resonance in Medicine 73:1, pages 427-441.
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F.S. Loureiro, W.J. Mansur, L.C. Wrobel & J.E.A. Silva. (2014) The Explicit Green’s Approach with stability enhancement for solving the bioheat transfer equation. International Journal of Heat and Mass Transfer 76, pages 393-404.
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ASSMA F. ELSAYED & O. ANWAR BÉG. (2014) NEW COMPUTATIONAL APPROACHES FOR BIOPHYSICAL HEAT TRANSFER IN TISSUE UNDER ULTRASONIC WAVES: THE VARIATIONAL ITERATION AND CHEBYSCHEV SPECTRAL SIMULATIONS. Journal of Mechanics in Medicine and Biology 14:03, pages 1450043.
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Domenica A. M. Iero, Lorenzo Crocco & Tommaso Isernia. (2014) Thermal and Microwave Constrained Focusing for Patient-Specific Breast Cancer Hyperthermia: A Robustness Assessment. IEEE Transactions on Antennas and Propagation 62:2, pages 814-821.
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Hong-Sen Kou, Tzu-Ching Shih & Win-Li Lin. (2003) Effect of the directional blood flow on thermal dose distribution during thermal therapy: an application of a Green s function based on the porous model. Physics in Medicine and Biology 48:11, pages 1577-1589.
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Zhong-Shan Deng & Jing Liu. (2002) Analytical Study on Bioheat Transfer Problems with Spatial or Transient Heating on Skin Surface or Inside Biological Bodies. Journal of Biomechanical Engineering 124:6, pages 638-649.
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Christopher J. Yeung & Ergin Atalar. (2001) A Green's function approach to local rf heating in interventional MRI. Medical Physics 28:5, pages 826-832.
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