Mathematical modeling of temperature variation in breast tissue with and without tumor/cyst during menstrual cycle

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dc.citation.epage202
dc.citation.issue2
dc.citation.spage192
dc.contributor.affiliationУніверситет Катманду
dc.contributor.affiliationKathmandu University
dc.contributor.authorШрешта, С.
dc.contributor.authorГурунг, Д. Б.
dc.contributor.authorГокул, К. С.
dc.contributor.authorShrestha, S.
dc.contributor.authorGurung, D. B.
dc.contributor.authorGokul, K. C.
dc.coverage.placenameЛьвів
dc.coverage.placenameLviv
dc.date.accessioned2023-10-24T07:21:53Z
dc.date.available2023-10-24T07:21:53Z
dc.date.created2021-03-01
dc.date.issued2021-03-01
dc.description.abstractНа терморегуляцію жіночого організму людини впливають гормональні та фізіологічні зміни в організмі під час менструального циклу. Флуктуації гормонів естрогену та прогестерону, що виділяються у фолікулярній та лютеїновій фазах менструального циклу відповідно, відіграють важливу роль у зростанні проток грудей та молочних залоз. Дисбаланс цих гормонів викликає пухлину молочної залози/кісту. Базальна температура тіла, перфузія крові та швидкість обміну речовин вищі в лютеїновій фазі, ніж у фолікулярна фазі менструального циклу. У цій роботі припускається, що пухлина/кіста знаходиться у залозистому шарі. Двовимірне рівняння біологічного нагрівання Пеннеса розв’язано для виявлення змін температури в тканині молочної залози з пухлиною/кістою та без неї під час менструального циклу за допомогою методу скінченних елементів. Результати показують, що температура кожного шару тканини молочної залози в лютеїновій фазі вища, ніж у фолікулярній для випадку нормального стану, наявності пухлини та кісти.
dc.description.abstractThe thermoregulation of human female body is influenced by hormonal and physiological changes in the body during the menstrual cycle. The fluctuation of estrogen and progesterone hormones, release in the follicular phase and the luteal phase of menstrual cycle, respectively play an important role in the growth of breast ducts and lobules (milk glands). The imbalance of these hormones causes breast tumors/cysts. The body core temperature, blood perfusion and metabolism rate are higher in the luteal phase than the follicular phase of menstrual cycle. In the present work, a tumor/cyst is assumed to be in the glandular layer. A two-dimensional Pennes bioheat equation is solved to find the temperature variation in breast tissue with and without tumor/cyst during the menstrual cycle by using the finite element method. The results show that the temperature of each layer of breast tissue in the luteal phase is higher than the follicular phase in the case of normal breast, tumorous breast and breast with cyst.
dc.format.extent192-202
dc.format.pages11
dc.identifier.citationShrestha S. Mathematical modeling of temperature variation in breast tissue with and without tumor/cyst during menstrual cycle / S. Shrestha, D. B. Gurung, K. C. Gokul // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2021. — Vol 8. — No 2. — P. 192–202.
dc.identifier.citationenShrestha S. Mathematical modeling of temperature variation in breast tissue with and without tumor/cyst during menstrual cycle / S. Shrestha, D. B. Gurung, K. C. Gokul // Mathematical Modeling and Computing. — Lviv : Lviv Politechnic Publishing House, 2021. — Vol 8. — No 2. — P. 192–202.
dc.identifier.doidoi.org/10.23939/mmc2021.02.192
dc.identifier.urihttps://ena.lpnu.ua/handle/ntb/60393
dc.language.isoen
dc.publisherВидавництво Львівської політехніки
dc.publisherLviv Politechnic Publishing House
dc.relation.ispartofMathematical Modeling and Computing, 2 (8), 2021
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dc.relation.references[2] Knudtson K., McLaughlin J. E. Menstrual Cycle, Women’s Health Issues. MSD Manuals (2019).
dc.relation.references[3] Mufudza C., Sorofa W., Chiyaka E. T. Assessing the Effects of Estrogen on the Dynamics of Breast Cancer. Computational and Mathematical Methods in Medicine. 8, 1–14 (2012).
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dc.relation.references[6] Gambini B., Kruglenko E., W´ojcik J. Relationship between Thermal and Ultrasound fields in Breast tissue in vivo. Hydroacoustics. 18, 53–58 (2015).
dc.relation.references[7] Hessemer V., Bruck K. Influence of Menstrual cycle on Shiverings, Skin Blood flow and Sweating responses measured at night. Journal of Applied Physiology. 59, 1902–1910 (1985).
dc.relation.references[8] Acharya S., Gurung D. B., Saxena V. P. Mathematical Modeling of Sex Related Differences in the Sensitivity of the Sweating Heat Responses to Change in Body Temperature. BJMCS. 12 (4), 1–11 (2016).
dc.relation.references[9] Makrariya A., Adlakha N. Numerical Simulation of Thermal Changes in Tissues of Woman’s Breast during Menstrual cycle in Different Stages of its Development. International Journal of Simulation and Process Modelling. 14 (4), 348–359 (2019).
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dc.relation.references[13] Bosetti C., Scotti L., Negri E., Talamini R., Levi F., Franceschi S., Montella M., Giacosa A., Vecchia C. L. Benign Ovarian cysts and Breast cancer risk. Int. J. Cancer. 119, 1679–1682 (2006).
dc.relation.references[14] Lee H., Petrofsky J., Shah N., Awali A., Shah K., Alotaibi M., Yim J. Higher Sweating Rate and Skin Blood Flow during the Luteal Phase of the Menstrual Cycle. Tohoku J. Exp. Med. 234 (2), 117–122 (2014).
dc.relation.references[15] Mital M., Pidaparti R. M. Breast Tumor Simulation and Parameters Estimation Using Evolutionary Algorithms. Hindawi Publishing Corporation Modelling and Simulation in Engineering. 2008, Article ID 756436, 1–6 (2008).
dc.relation.references[16] Ng E. Y. K., Sudarshan N. M. An Improved Three-Dimensional direct numerical Modeling and Thermal Analysis of a Female Breast with Tumor. Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine. 215 (1), 25–37 (2001).
dc.relation.references[17] Osman M. M., Afify E. M. Thermal Modeling of the Normal Woman’s Breast. Journal of Biomechanical Engineering. 106 (2), 123–130 (1984).
dc.relation.references[18] Shrestha S., Gokul K. C., Gurung D. B. Transient Bioheat Equation in Breast Tissue: Effect of Tumor Size and Location. Journal of Advances in Applied Mathematics. 5 (1), 9–19 (2020).
dc.relation.references[19] Shrestha S., Gurung D. B. Finite Element Method Approach for Thermal Analysis of Female Breast Tissue Tumor Model. Journal of Applied Bioinformatics & Computational Biology. 6 (3), (2017).
dc.relation.references[20] Pennes H. H. Analysis of Tissue and Arterial Blood Temperature in resting forearm. Journal of applied physiology. 1, 93–122 (1948).
dc.relation.references[21] Gurung D. B., Gokul K. C., Adhikary P. R. Mathematical Model of Thermal Effects of Blinking in Human Eye. International Journal of Biomathematics. 9 (1), 1–20 (2016).
dc.relation.references[22] Gagnon D., Kenny G. P. Dose sex has an independent effect on thermoeffectors responses during exercise in the heat? J. Physiology. 590 (23), 5963–5973 (2014).
dc.relation.references[23] Stephenson L. A., Margaret A. Thermoregulation in Women. Exercise and Sport Sciences Reviews. 21, 231–262 (1993).
dc.relation.references[24] Rao S. S. The Finite Element Method in Engineering. Elsevier (2011).
dc.relation.references[25] Reddy J. N. An Introduction to the Finite Element Method. McGraw-Hill Mechanical Engineering (2005).
dc.relation.references[26] Sudarshan N. M., Ng E. Y. K. Surface Temperature Distribution of a Breast with and without Tumour. Computer Methods in Biomechanics and Biomedical Engineering. 2 (3), 187–199 (1999).
dc.relation.references[27] Soni S., Tyagi H., Taylor R. A., Kumar A. The Influence of Tumour Blood Perfusion Variability on Thermal Damage During Nanoparticle-Assisted Thermal Therapy. International Journal of Hyperthermia. 31 (6), 615–625 (2015).
dc.relation.references[28] Acharya S., Gurung D. B., Saxena V. P. Effect of Metabolic Reaction on Thermoregulation in Human Males and Females Body. Journal of Applied Mathematics. 4, 39–48 (2013).
dc.relation.references[29] Makrariya A., Pardasani K. R. Finite Element Model to Study the Thermal Effect of Cyst and Malignant Tumor in Women’s Breast During Menstrual Cycle under Cold Environment. Advances and Applications in Mathematical Sciences. 18 (1), 29–43 (2018).
dc.relation.references[30] Park S. J., Tamura T. Distribution of Evaporation Rate on Human Body Surface. Annals of Physiological Anthropology. 11 (6), 593–609 (1992).
dc.relation.referencesen[1] Schuiling K. D., Likis F. E. Women’s Gynecologic Health. Jones and Bartlett Publishers (2011).
dc.relation.referencesen[2] Knudtson K., McLaughlin J. E. Menstrual Cycle, Women’s Health Issues. MSD Manuals (2019).
dc.relation.referencesen[3] Mufudza C., Sorofa W., Chiyaka E. T. Assessing the Effects of Estrogen on the Dynamics of Breast Cancer. Computational and Mathematical Methods in Medicine. 8, 1–14 (2012).
dc.relation.referencesen[4] Breast, Contemporary Health Issues. https://courses.lumenlearning.com/suny-contemporaryhealthissues/chapter/breasts/.
dc.relation.referencesen[5] Waugh A., Grant A. Ross & Wilson Anatomy and Physiology in Health and Illness. Elsevier (2018).
dc.relation.referencesen[6] Gambini B., Kruglenko E., W´ojcik J. Relationship between Thermal and Ultrasound fields in Breast tissue in vivo. Hydroacoustics. 18, 53–58 (2015).
dc.relation.referencesen[7] Hessemer V., Bruck K. Influence of Menstrual cycle on Shiverings, Skin Blood flow and Sweating responses measured at night. Journal of Applied Physiology. 59, 1902–1910 (1985).
dc.relation.referencesen[8] Acharya S., Gurung D. B., Saxena V. P. Mathematical Modeling of Sex Related Differences in the Sensitivity of the Sweating Heat Responses to Change in Body Temperature. BJMCS. 12 (4), 1–11 (2016).
dc.relation.referencesen[9] Makrariya A., Adlakha N. Numerical Simulation of Thermal Changes in Tissues of Woman’s Breast during Menstrual cycle in Different Stages of its Development. International Journal of Simulation and Process Modelling. 14 (4), 348–359 (2019).
dc.relation.referencesen[10] Makrariya A., Adlakha N. Thermographic Pattern’s in Women’s Breast due to Uniformly Perfused Tumors and Menstrual Cycle. Communications in Mathematical Biology and Neuroscience. 14, 1–20 (2019).
dc.relation.referencesen[11] Whelan E. A., Sandier D. P., Root J. L., Smith K. R., Weinberg C. R. Menstrual Cycle Patterns and Risk of Breast Cancer. American Journal of Epidemiology. 140 (12), 1081–1090 (1994).
dc.relation.referencesen[12] Nakamura M. M., Yasuhara S., Nagashima K. Effect of menstrual cycle on thermal perception and autonomic thermoregulatory responses during mild cold exposure. Journal of Physiological Sciences. 65, 339–347 (2015).
dc.relation.referencesen[13] Bosetti C., Scotti L., Negri E., Talamini R., Levi F., Franceschi S., Montella M., Giacosa A., Vecchia C. L. Benign Ovarian cysts and Breast cancer risk. Int. J. Cancer. 119, 1679–1682 (2006).
dc.relation.referencesen[14] Lee H., Petrofsky J., Shah N., Awali A., Shah K., Alotaibi M., Yim J. Higher Sweating Rate and Skin Blood Flow during the Luteal Phase of the Menstrual Cycle. Tohoku J. Exp. Med. 234 (2), 117–122 (2014).
dc.relation.referencesen[15] Mital M., Pidaparti R. M. Breast Tumor Simulation and Parameters Estimation Using Evolutionary Algorithms. Hindawi Publishing Corporation Modelling and Simulation in Engineering. 2008, Article ID 756436, 1–6 (2008).
dc.relation.referencesen[16] Ng E. Y. K., Sudarshan N. M. An Improved Three-Dimensional direct numerical Modeling and Thermal Analysis of a Female Breast with Tumor. Proceedings of the Institution of Mechanical Engineers. Part H, Journal of Engineering in Medicine. 215 (1), 25–37 (2001).
dc.relation.referencesen[17] Osman M. M., Afify E. M. Thermal Modeling of the Normal Woman’s Breast. Journal of Biomechanical Engineering. 106 (2), 123–130 (1984).
dc.relation.referencesen[18] Shrestha S., Gokul K. C., Gurung D. B. Transient Bioheat Equation in Breast Tissue: Effect of Tumor Size and Location. Journal of Advances in Applied Mathematics. 5 (1), 9–19 (2020).
dc.relation.referencesen[19] Shrestha S., Gurung D. B. Finite Element Method Approach for Thermal Analysis of Female Breast Tissue Tumor Model. Journal of Applied Bioinformatics & Computational Biology. 6 (3), (2017).
dc.relation.referencesen[20] Pennes H. H. Analysis of Tissue and Arterial Blood Temperature in resting forearm. Journal of applied physiology. 1, 93–122 (1948).
dc.relation.referencesen[21] Gurung D. B., Gokul K. C., Adhikary P. R. Mathematical Model of Thermal Effects of Blinking in Human Eye. International Journal of Biomathematics. 9 (1), 1–20 (2016).
dc.relation.referencesen[22] Gagnon D., Kenny G. P. Dose sex has an independent effect on thermoeffectors responses during exercise in the heat? J. Physiology. 590 (23), 5963–5973 (2014).
dc.relation.referencesen[23] Stephenson L. A., Margaret A. Thermoregulation in Women. Exercise and Sport Sciences Reviews. 21, 231–262 (1993).
dc.relation.referencesen[24] Rao S. S. The Finite Element Method in Engineering. Elsevier (2011).
dc.relation.referencesen[25] Reddy J. N. An Introduction to the Finite Element Method. McGraw-Hill Mechanical Engineering (2005).
dc.relation.referencesen[26] Sudarshan N. M., Ng E. Y. K. Surface Temperature Distribution of a Breast with and without Tumour. Computer Methods in Biomechanics and Biomedical Engineering. 2 (3), 187–199 (1999).
dc.relation.referencesen[27] Soni S., Tyagi H., Taylor R. A., Kumar A. The Influence of Tumour Blood Perfusion Variability on Thermal Damage During Nanoparticle-Assisted Thermal Therapy. International Journal of Hyperthermia. 31 (6), 615–625 (2015).
dc.relation.referencesen[28] Acharya S., Gurung D. B., Saxena V. P. Effect of Metabolic Reaction on Thermoregulation in Human Males and Females Body. Journal of Applied Mathematics. 4, 39–48 (2013).
dc.relation.referencesen[29] Makrariya A., Pardasani K. R. Finite Element Model to Study the Thermal Effect of Cyst and Malignant Tumor in Women’s Breast During Menstrual Cycle under Cold Environment. Advances and Applications in Mathematical Sciences. 18 (1), 29–43 (2018).
dc.relation.referencesen[30] Park S. J., Tamura T. Distribution of Evaporation Rate on Human Body Surface. Annals of Physiological Anthropology. 11 (6), 593–609 (1992).
dc.relation.urihttps://courses.lumenlearning.com/suny-contemporaryhealthissues/chapter/breasts/
dc.rights.holder© Національний університет “Львівська політехніка”, 2021
dc.subjectпухлина молочної залози
dc.subjectменструальний цикл
dc.subjectколивання температури
dc.subjectМСЕ
dc.subjectbreast tumor
dc.subjectmenstrual cycle
dc.subjecttemperature variation
dc.subjectFEM
dc.titleMathematical modeling of temperature variation in breast tissue with and without tumor/cyst during menstrual cycle
dc.title.alternativeМатематичне моделювання змін температури в тканинах молочної залози з пухлиною/кістою та без неї під час менструального циклу
dc.typeArticle

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Mathematical Modeling And Computing. – 2021. – Vol. 8, No. 2