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Abstrakty
The process of rehabilitation after heart disease is a major problem today. Existing mathematical model is phenomenological. This paper presents a mathematical model of the heart rate and pressure under the influence of physical activity. The identification of the presented model based on the modified gradient Levenberg-Markvadt method supplemented with the procedure of initial ratios choice is introduce for the first time.
Czasopismo
Rocznik
Tom
Strony
91--99
Opis fizyczny
Bibliogr. 13 poz.
Twórcy
autor
- Ternopil National Economic University, Department of Computer Science, Unosti str. 9, Ternopil, Ukraine, 46018
autor
- Ternopil National Economic University, Department of Computer Science, Unosti str. 9, Ternopil, Ukraine, 46018
Bibliografia
- [1] Pater, L. and Van den Berg, J., An electrical analogue of the entire human circulatory system, Med. Electron. Biol. Engineering, Vol. 2, No. 2, 1964, pp. 161–166.
- [2] Mirzaee, M. R., Ghasemalizadeh, O., and Firoozabadi, B., Simulating of Human Cardiovascular System and Blood Vessel Obstruction Using Lumped Method, World Academy of Science, Engineering and Technology, Vol. 41, 2008.
- [3] Perktold, K. and Rappitsch, G., Computer simulation of local blood flow and vessel mechanics in a compliant carotid artery bifurcation model, J. Biomech, Vol. 28, 1995, pp. 845–856.
- [4] Kordas, M., Analysis of a simplified electrical analog of circulation, Med Biol Eng, Vol. 6, 1968, pp. 109–114.
- [5] Quarteroni, A., Modeling the Cardiovascular System – A Mathematical Adventure: Part I, SIAM News, Vol. 34, No. 5, 2001.
- [6] VAN DE VOSSE, F. N., Mathematical modeling of the cardiovascular system, Journal of Engineering Mathematics, Vol. 47, 2003, pp. 175–181.
- [7] Ottesen, J. T., Olufsen, M. S., and Larsen, J., Applied mathematical models in human physiology, SIAM, Philadelphia, Vol. 3, 2004.
- [8] Kappel, F. and Peer, R. O., A mathematical model for fundamental regulation processes in the cardiovascular system, Journal of Mathematical Biology, Vol. 31, No. 6, 1993, pp. 611–631.
- [9] Timischl, S., A global model of the cardiovascular and respiratory system, Ph.D. thesis, University of Graz, Institute for Mathematics and Scientic Computing, 1998.
- [10] Magosso, E., Cardiovascular response to dynamic aerobic exercise: A mathematical model, Medical and Biological Engineering and Computing, Vol. 40, No. 6, 2002, pp. 660–674.
- [11] Kyugeryan, S. G. and Petrosyan, T. G., Mathematical model of the cardiovascular system of the body during exercise, Avtomatizatsiya i sistemy upravleniya, Vol. 3, 2005, pp. 585–592, (in Russian).
- [12] Dyvak, M. P., Problems of mathematical modeling of static systems with interval data, TNEU «Ekonomichna dumka», 2011, (in Ukrainian).
- [13] Dyvak, M., Kozak, O., and Pukas, A., Interval model for identification of laryngeal nerves, Przegląd Elektrotechniczny (Electrical review), Vol. 1, 2010, pp. 139–141.
Typ dokumentu
Bibliografia
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