Mykola Pyroh
Faculty of Information Technology, Taras Shevchenko National University of Kyiv, Ukraine
Iryna Harko
Faculty of Information Technology, Taras Shevchenko National University of Kyiv, Ukraine
Faculty of Informatics and Computer Science, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Ukraine
Ksenia Dukhnovska
Faculty of Information Technology, Taras Shevchenko National University of Kyiv, Ukraine
Abstract
DOI: https://doi.org/10.17721/AIT.2021.1.04
This article presents an analysis of mathematical models that can be used to predict the thermophysiological state of man in different environmental conditions in the development of information systems for its life support. The basic element of all considered models is the equation of heat balance. According to this equation, the total heat transfer of the organism must be equal to its heat output. The article considers continuous and discrete-vascular models, analyzes their advantages and disadvantages. Continuous models are, in essence, a simplified notation of biothermal equations. In these models, the effect of blood flow on each individual vessel is neglected, and the blood supply is averaged over the volume studied. Discrete-vascular models are a set of biothermal equations that describe the blood flow in each individual vessel. Discrete-vascular models of the thermophysiological state of man are not very applicable today, due to the complex and insufficiently studied vascular geometry. More common are continuum models, for the construction of which a multi-compartmental approach is used. As a result, the article presents a comparative table of continuous models and information systems that use these models.
Keywords – mathematical modeling, heat transfer, information systems, thermophysiological state of man.
Information about the author
Mykola Pyroh. He graduated from the Faculty of Information Systems and Technologies of the Private Higher Educational Institution “European University”. He works as an assistant at the Department of Applied Information Systems of Faculty of Information Technology of Taras Shevchenko National University of Kyiv. Research interests: informatization of society, e-government, agile-methodologies in programming and education.
Iryna Harko. Candidate of Physical and Mathematical Sciences. She graduated from the Faculty of Physics and Mathematics of the National Pedagogical University named after M.P. Drahomanov. Works as an associate professor of the Department of Applied Information Systems of Faculty of Information Technology of Taras Shevchenko National University of Kyiv. Research interests: probability theory and mathematical statistics, fractal analysis, number systems, agile methodologies in programming and education
Ksenia Dukhnovska. She graduated from the Faculty of Mechanics and Mathematics of Taras Shevchenko National University of Kyiv. Works at the Department of Applied Information Systems of Faculty of Information Technology of Taras Shevchenko National University of Kyiv as an assistant. Research interests: medical cybernetics, NLP.
References
- J. Gonsky, T. Maksymchuk, M. Kalynsky Human Biochemistry, Ternopil: Ukrmedknyha, 2002.
- C. W. Sheppard, “The mathematical basis of the interpretation of tracer experiments in closed steady-state systems”, Journal of Applied Physics, vol. 22, № 4, pp. 510 – 520, 1951.
- C. H. Wyndham, A. R. Atkins A physiological scheme and mathematical model of temperature regulation in man. Pflügers Archiv, vol. 303, pp. 14–30, 1968.
- I. Ermakova, “Mechanisms of physiological thermoregulation in humans”, author’s ref. dis. for the degree of Dr. Biol. Sciences, Kiev, 1989.
- H. H. Pennes, “Analysis of tissue and arterial blood temperatures in the resting forearm”, Journal of Applied Physiology, vol. 1, № 2, pp. 93 – 122, 1948.
- E. H. Wissler, “Pennes 1948 paper revisited”, Journal of Applied Physiology, vol. 85, № 1, pp. 35 – 41, 1998.
- H. G. Klinger, “Heat transfer in perfused biological tissue”, General theory. Bulletin of Mathematical Biology, vol. 36, pp. 403 – 415, 1974.
- M. M. Chen, K. R. Holmes, “Microvascular Contributions in Tissue Heat Transfer”, Ann. N. Y. Acad. Sci., vol. 335, pp. 137 – 150, 1980.
- S. Weinbaum, L. M. Jiji, D. E. Lemons, “Theory and experiment for the effect of vascular mucrostructure on surface tissue heat transfer. Part I. Anatomical foundation and model conceptualization”, ASME Journal of Biomechanical Engineering, vol. 106, pp. 321 – 330, 1984.
- S. Weinbaum, L. M. Jiji, “A new simplified bioheat equation for the effect of blood flow on local average tissue temperature”, ASME Journal of Biomechanical Engineering, vol. 107, pp. 131 – 139, 1985.
- A. Bhowmik, “Conventional and newly developed bioheat transport models in vascularized tissues”, Journal of Thermal Biology, vol. 38, № 3, pp. 107 – 125, 2013.
- AA Sagaidachny, “Restoration of the spectrum of blood flow oscillations from the spectrum of temperature fluctuations of the fingers, dispersion of the temperature signal in the biotissue”, Regional blood circulation and microcirculation, №1, p. 76 – 82, 2013.
- K. Kubaha, D. Fiala, J. Toftum, Human projected area factors for detailed direct and diffuse solar radiation analysis. International Journal of Biometeorology, vol.49(2), pp. 113-129, 2004.
- I.Y. Ermakova, State and prospects of informatics development in Ukraine, Kyiv: Naukova Dumka, 2010.
- I.Yermakova, K.Dukchnovskaya, A.Nikolaienko, O.Troynikov, N.Nawaz, “Influence of exercise intensity on thermophysiological responses of firefighters wearing different firefighters protective clothing ensembles», 5th ESPC and Nokobetef 10. Future of protective clothing, 2012. Pp. 75.
- I.I. Ermakova, Y. P. Tadeeva, N.G. Ivanushkina, “The effect of regional electromagnetic hyperthermia: simulation results”, Electronics and communication. Thematic issue “Problems of electronics”, № 1, p. 132 – 136, 2007.
- I.I. Ermakova, “Dynamic model for estimating human temperature comfort”, Electronics and communication. Thematic issue “Problems of electronics”, № 2, P. 81 – 85, 2008.
- A. Y. Nikolaenko, “Information technology for forecasting the thermophysiological state of a person during physical activity in different environments”, dissertation for the degree of Candidate of Technical Sciences, National Academy of Sciences of Ukraine, Kyiv, 2019.
- Dukhnovska K. The boundary value problem for the heat transfer task between a human and the environment. Physical and mathematical modeling and information technology. vol. 30, p. 29-40, 2020.

Published
2021-11-04
Як цитувати
M. Pyroh , I. Harko , К. Dukhnovska . “Modeling of thermophysiological state of man”, Advanced Information Technology , vol.1, pp. 30–38, 2021
Issue
Advanced Information Technology № 1 (1), 2021
Section
Mathematical foundations of information technology