Abstract
Cutaneous melanoma is the most commonly diagnosed cancer and its incidence is on the rise worldwide. Early detection and differentiation of a malignant melanoma from benign cutaneous lesions provides an excellent chance for treating the disease. Thermography is a non-invasive tool that can be used to detect and monitor skin lesions. We model heat transfer in a skin region containing a lesion. The model which is governed by the Pennes equation uses the steady state temperature at the skin surface to determine whether there is an underlying lesion. Numerical simulations from the model ascertain whether the lesion is malignant or benign.
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References
Stern, R.S.: Prevalence of a history of skin cancer in 2007: results of an incidence-based model. Arch. Dermatol. 146, 279–282 (2010)
American Cancer Society: Cancer Facts & Figures. http://www.cancer.org/acs/groups/content/@editorial/documents/document/acspc-044552.pdf (2015)
Estee, L., Psaty, B.A., Allan, C., Halpern, M.D.: Current and emerging technologies in melanoma diagnosis: the state of the art. Clin. Dermatol. 27, 35–45 (2009)
Arora, N., Martins, D., Ruggerio, D., Tousimis, E., Swistel, A.J., Osborne, M.P., Simmons, R.M.: Effectiveness of a noninvasive digital infrared thermal imaging system in the detection of breast cancer. Am. J. Surg. 196, 523–526 (2008)
Bronzino, J.D.: Medical Devices and Systems. CRC/Taylor & Francis, Boca Raton (2006)
González, F.J.: Thermal simulation of breast tumors. Revista Mexicana de Fisica, 53, 323–326 (2007)
González, F.J.: Non-invasive estimation of the metabolic heat production of breast tumors using digital infrared imaging. QIRT J. 8, 139–148 (2011)
Lin, Q.Y., Yang, H.Q., Xie, S.S., Wang, Y.H., Ye, Z., Chen, S.Q.: Detecting early breast tumour by finite element thermal analysis. J. Med. Eng. Technol. 33, 274–280 (2009)
Sudharsan, N.M., Ng, E.Y.K., Teh, S.L.: Surface temperature distribution of a breast with and without tumour. Comput. Methods Biomech. Biomed. Eng. 2, 187–199 (1999)
Agnelli, J.P., Barrea, A.A., Turner, C.V.: Tumor location and parameter estimation by thermography. Math. Comput. Model.: Int. J. 53, 1527–1534 (2011)
Mital, M., Scott, E.P.: Thermal detection of embedded tumors using infrared imaging. J. Biomech. Eng. 129, 33–39 (2007)
Paruch, M., Majchrzak, E.: Identification of tumor region parameters using evolutionary algorithm and multiple reciprocity boundary element method. Eng. Appl. Artif. Int. 20, 647–655 (2007)
Deng, Z., Liu, J.: Mathematical modeling of temperature mapping over skin surface and its implementation in thermal disease diagnostics. Comput. Biol. Med. 34, 495–521 (2004)
Pirtini Cetingül, M., Herman, C.: A heat transfer model of skin tissue for the detection of lesions: sensitivity analysis. Phys. Med. Biol. 55, 5933–5951 (2010)
Pirtini Cetingül, M., Herman, C.: Quantification of the thermal signature of a melanoma lesion. Int. J. Therm. Sci. 50, 421–431 (2011)
Bhowmik, A., Repaka, R., Mishra, S.C.: Thermographic evaluation of early melanoma within the vascularized skin using combined non-Newtonian blood flow and bioheat models. Comput. Biol. Med. 53, 206–219 (2014)
Agyingi, E., Wiandt, T., Maggelakis, S.: Thermal detection of a prevascular tumor embedded in breast tissue. Math. Biosci. Eng. 12, 907–915 (2015)
Maggelakis, S.A., Savakis, A.E.: Heat transfer in tissue containing a prevascular tumor. Appl. Math. Lett. 8, 7–10 (1995)
Pennes, H.H.: Analysis of tissue and arterial blood temperatures in the resting forearm. J. Appl. Physiol. 1, 93–122 (1948)
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Agyingi, E., Wiandt, T., Maggelakis, S. (2016). A Quantitative Model of Cutaneous Melanoma Diagnosis Using Thermography. In: Bélair, J., Frigaard, I., Kunze, H., Makarov, R., Melnik, R., Spiteri, R. (eds) Mathematical and Computational Approaches in Advancing Modern Science and Engineering. Springer, Cham. https://doi.org/10.1007/978-3-319-30379-6_16
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DOI: https://doi.org/10.1007/978-3-319-30379-6_16
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