The method of identification of a mathematical model for the cardiovascular system response dynamics to exercise stress

• Autorzy: Vovkodav O. , Pasichnyk R.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

mathematical model; cardiovascular system; identification; exercise stress; heart rate; blood pressure

PL

mathematical model; układ krwionośny; identyfikacja; stress wysiłkowy; rytm zatokowy; ciśnienie tętnicze

• Wydawca: Wydawnictwo Politechniki Łódzkiej
• Czasopismo: Journal of Applied Computer Science
• Rocznik: 2014
• Tom: Vol. 22, nr 2
• Strony: 91--99
• Opis fizyczny: Bibliogr. 13 poz.

Twórcy

autor

Vovkodav O.

• Ternopil National Economic University, Department of Computer Science, Unosti str. 9, Ternopil, Ukraine, 46018

autor

Pasichnyk R.

• 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.