Affiliation:
1. Taras Shevchenko National University of Kyiv
2. “Igor Sikorsky Kyiv Polytechnic Institute”
Abstract
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.
Publisher
Taras Shevchenko National University of Kyiv
Reference19 articles.
1. J. Gonsky, T. Maksymchuk, M. Kalynsky Human Biochemistry, Ternopil: Ukrmedknyha, 2002.
2. 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.
3. 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.
4. I. Ermakova, “Mechanisms of physiological thermoregulation in humans”, author’s ref. dis. for the degree of Dr. Biol. Sciences, Kiev, 1989.
5. 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.