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Vol: 51(65) No: 2 / June 2006         Mathematical Model of the Arterial Baroreceptor. Application for the Arterial Baroreflex Prosthesis Ionela Iancu Department of Physiology, University of Medicine and Pharmacy of Craiova, 4-5 Petru Rares Street, 200349 Craiova, Romania, e-mail: iancu@automation.ucv.ro, web: http://www.umfcv.ro Eugen Iancu Department of Automation and Mechatronics, University of Craiova, 107 Decebal Street, 200440 Craiova, Romania, e-mail: Eugen.Iancu@automation.ucv.ro, web: http://www.ace.ucv.ro Keywords: arterial baroreceptor, neural network, arterial pressure control. Abstract The arterial baroreflex failure is a new concept in the cardiovascular physiology with important implications in the clinical practice. The consequences of the arterial baroreflex failure impairment are, from physiologically point of view, the large variations moment to moment in the cardiac frequency and arterial pressure and the loss of buffering activity. The purpose of this paper was to develop a mathematical model of the arterial baroreceptor and to study its behaviour during a steady state and a transitory state using neural network. We used the experimental data published in literature for carotid sinus baroreflex in anaesthetised and vagotomised dogs. For the carotid sinus baroreceptor model without resetting, the block diagram showed three output components. One component is proportional to blood pressure and two components are specifics for low-pass filter. We have also developed the baroreceptor resetting model, which introduced a supplementary negative feedback and works like a follower system. For the carotid sinus baroreceptor model with resetting property, the block diagram showed the output components presented in the model without resetting and two components proportional to second and third derivative of the blood pressure. Through simulation we proved the role of resetting in stabilizing blood pressure. However we concluded that baroreceptor with the resetting property works like a controller in the control systems. The mathematical model of the baroreceptor is an absolute necessary part of an arterial baroreflex prosthesis. In the medical technologies of our present time or next in future, arterial baroreflex prosthesis has certain applications in a great number of pathological states. References [1] J.A. Howell, F.J. Fulton, T.C. Ruch and D.J. Patton, Text book of physiology, W. B. Saunders Company, 1989. [2] T. Kubota, H. Chishaki, T. Yoshida, K. Sunagawa, A. Takeshita and Y. Nose, “How to encode arterial pressure into carotid sinus nerve to invoke natural baroreflex”, American Journal of Physiology 263 (Heart Circ. Physiol. 32): H307 - H313, 1992. [3] I. Iancu, “Mathematical model of baroreceptor“, National Conference of Physiological Science, Cluj-Napoca, vol.1, pp. 69, 1994. [4] I. Iancu and E. Iancu, “Role of arterial baroreceptors in arterial pressure stability”, SINTES 9, vol. 1, pp. 30-38, 1998. [5] L. Hayward, M. Hay and R.B. Felder, “Acute resetting of the carotid sinus baroreflex by aortic depressor nerve stimulation”, American Journal of Physiology 271 (Regulatory Integrative Comp. Physiol. 40): R870 - R880, 1993. [6] C.M. Heesch, F.M. Abboud and M.D. Thames, “Acute resetting of carotid sinus baroreceptors. Posible involvement of electrogenic Na+ pump”, American Journal of Physiology 247 (Heart Circ. Physiol. 16): H833 - H839, 1984. [7] C.M. Heesch and K.W. Barron, “Is there a central nervous system component to acute baroreflex resetting in rats?”, American Journal of Physiology 262 (Heart Circ. Physiol. 31): H503 - H510, 1992. [8] V.B. Mountcastle, Medical Physiology, vol. 1, Mosby Company, 1968, pp.178-190. [9] T. Ketch, I. Biaggioni, R.M. Robertson and D. Robertson, “Four face of baroreflex failure-hypertensive crisis, volatile hypertension, orthostatic tachycardia and malignant vagotonia”, Circulation (Am. Heart Association, Inc.) 105, pp. 2518-2523, 2002. [10] T. Sato, T. Kawada, T. Shishido, et al., “Novel therapeutic strategy against central baroreflex failure: a bionic baroreflex system”, Circulation (Am. Heart Association, Inc.), 100, pp. 299-304, 1999.