Geodesic
Simulation modeling of radiation field in biological tissue of mammary gland
Journal of computational and engineering mathematics, Tome 4 (2017) no. 3, pp. 3-10.

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In this paper we develop a mathematical model of the distribution of microwave electric field in heterogenous biological tissue of mammary gland. We use this model to investigate the efficiency of the medical diagnostic method based on microwave thermometry. Also we run a numerical modeling of electromagnetic field in biotissue of mammary gland for various sets of the spatial structure of biotissue. The small-scale structure is caused by a complex combination of several components: blood flows, fat tissue, muscle tissue, milk lobules, skin. Next we vary in the model the spatial structure of the tissue to evaluate the effect of the heterogeneous structure of the tissue on the distribution of the electromagnetic field in the volume of mammary gland.
Keywords: mathematical modeling, numerical methods, biological tissues, oncology, microwave radiothermometry, heat transfer, radiation fields. 
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M. V. Polyakov; A. V. Khoperskov; A. V. Svetlov. Simulation modeling of radiation field in biological tissue of mammary gland. Journal of computational and engineering mathematics, Tome 4 (2017) no. 3, pp. 3-10. http://geodesic.mathdoc.fr/item/JCEM_2017_4_3_a0/

[1] A. H. Barett, P. C. Myers, N. L. Sadowsky, “Microwave thermography in the detection of breast canser”, American Journal of Roentgenology, 134:2 (1980), 365–368 | DOI

[2] R. S. Akki, K. Arunachalam, “Breast Tissue Phantoms to Assist Compression Study for Cancer Detection using Microwave Radiometry”, Proc. of 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society, 2014, 1119–1122 | DOI

[3] A. G. Losev, A. V. Khoperskov, A. S. Astakhov, Kh. M. Suleimanova, “Problemy izmereniya i modelirovaniya teplovykh i radiatsionnykh polei v biotkanyakh: analiz dannykh mikrovolnovoi termometrii”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Matematika. Fizika, 2015, no. 6 (31), 31–71 | DOI

[4] V. V. Novochadov, A. A. Shiroky, A. V. Khoperskov, A. G. Losev, “Comparative Modeling the Thermal Transfer in Tissues with Volume Pathological Focuses and Tissue Engineering Constructs: a Pilot Study”, European Journal of Molecular Biotechnology, 14:4 (2016), 125–138 | DOI

[5] S. G. Vesnin, K. M. Sedakin, “Razrabotka serii antenn-applikatorov dlya neinvazivnogo izmereniya temperatury tkanei organizma cheloveka pri razlichnykh patologiyakh”, Inzhenernyi zhurnal: nauka i innovatsii, 2012, no. 11, 1–18

[6] K. L. Carr, “Microwave Radiometry: its Importance to the Detection of Cancer”, IEEE MTT, 37 (1989), 12–24 | DOI

[7] K. R. Foster, E. A. Cheever, “Microwave Radiometry in Biomedicine: a Reappraisal”, Bioelectromagnetics, 13:6 (1992), 567–579 | DOI

[8] M. V. Polyakov, A. V. Khoperskov, “Matematicheskoe modelirovanie prostranstvennogo raspredeleniya radiatsionnogo polya v biotkani: opredelenie yarkostnoi temperatury dlya diagnostiki”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1. Matematika. Fizika, 2016, no. 5 (36), 73–84 | DOI

[9] F. J. Gonzalez, “Thermal Simulation of Breast Tumors”, Revista Mexicana de Fisica, 53 (2007), 323–326

[10] F. Bardati, S. Iudicello, “Modeling the Visibility of Breast Malignancy by a Microwave Radiometer”, Biomed. Engineering, 55 (2008), 214–221 | DOI