Mathematical Biosciences and Engineering (MBE)

A model of thermotherapy treatment for bladder cancer
Pages: 1169 - 1183, Issue 6, December 2016

doi:10.3934/mbe.2016037      Abstract        References        Full text (688.5K)           Related Articles

Christoph Sadée - School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland (email)
Eugene Kashdan - School of Mathematics and Statistics, University College Dublin, Belfield, Dublin 4, Ireland (email)

1 Radiating device for hyperthermia, US Patent RE37,315 E.
2 Water and Microwaves, http://www1.lsbu.ac.uk/water/microwave_water.html.
3 Radiofrequency induced thermo-chemotherapy effect for the treatment of non-muscle invasive bladder cancer, http://www.synergo-medical.com.
4 Tissue parameters virtual family, http://stanford.edu/~sujason/MR/TissueParameters_VirtualFamily.pdf.
5 Dielectric Properties of Body Tissues, http://niremf.ifac.cnr.it/tissprop/.
6 J. L.-S. Au, et al., Methods to improve efficacy of intravesical mitomycin c: Results of a randomized phase III trial, J. of the National Cancer Institute, 93 (2001), 597-604.
7 M. Babjuk, et al., EAU guidelines on non-muscle-invasive urothelial carcinoma of the bladder, European J. of Urology, 54 (2008), 303-314.
8 T. Cebeci, Convective Heat Transfer, Springer, 2nd ed., Berlin, Germany, 2002.       
9 R. Colombo, et al., Long-term outcomes of a randomized controlled trial comparing thermochemotherapy with mitomycin-C alone as adjuvant treatment for non-muscle-invasive bladder cancer (NMIBC), British J. of Urolology Int., 107 (2011), 912-918.
10 O. N. Gofrit, et al., Combined local bladder hyperthermia and intravesical chemotherapy for the treatment of high-grade superficial bladder cancer, Urology, 63 (2004), 466-471.
11 M. C. Hall, et al., Guideline for the management of non muscle invasive bladder cancer (stages Ta, T1, and Tis): 2007 update, J. of Urology, 178 (2007), 2314-2330.
12 A. G. Van der Heijden, et al., Preliminary European results of local microwave hyperthermia and chemotherapy treatment in intermediate or high risk superficial transitional cell carcinoma of the bladder, European J. of Urology, 46 (2004), 65-72.
13 J. M. Hill and M. J. Jennings, Formulation of model equations for heating by microwave radiation, Applied Mathematical Modelling, 17 (1993), 369-379.
14 J. Holman, Heat Transfer, McGraw-Hill, 10th ed. Columbus, OH, 2009.
15 A. Jemal, et al., Global cancer statistics, CA:A Cancer J. for Clinicians, 61 (2011), 69-90.
16 V. Kumar, A. K. Abbas and N. Fausto, Robbins and Cotran pathological basis of disease, Elsevier, (2005), 7th ed, Chapter 21.
17 R. J. M. Lammers, et al., The role of a combined regimen with intravesical chemotherapy and hyperthermia in the management of non-muscle-invasive bladder cancer: a systematic review, European Urology, 60 (2011), 81-93.
18 B. Moskovitz, et al., 10-year single-center experience of combined intravesical chemohyperthermia for nonmuscle invasive bladder cancer, Future Oncology, 8 (2012), 1041-1049.
19 D. Shier, J. Butler and R. Lewis, Hole's Human Anatomy and Physiology, McGraw-Hill, 13th ed., 2012.
20 W. L. Stutzman and G. A. Thiele, Antenna Theory and Design, Wiley, 3rd ed., New York, NY, 2012.
21 A. Taflove and C. Hagness, Computational Electrodynamics: The Finite-Difference Time-Domain Method, (Artech House, 3rd ed., Boston, MA, 2005).
22 M. G. Wientjes, et al., Penetration of mitomycin c in human bladder, Cancer Research, 53 (1993), 3314-3320.
23 P. J. Woodroffe, et al., Modelling cell signalling and differentiation in the urothelium, Bull of Math Biology, 67 (2005), 369-389.       

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