Abstract
The baroreflex involves a number of control pathways. In this chapter we consider in greater detail the role of the control of unstressed volume mobilization. We also consider an alternative approach for choosing parameters most likely to be estimable and we apply this method to a model incorporating the control of unstressed volume and compare to data.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Batzel, J.J., Fürtinger, S., Bachar, M., Fink, M., Kappel, F.: Sensitivity identifiability of a baroreflex control system model. Tech. Rep. IMA03-09, Institute for Mathematics and Scientific Computing, University of Graz (2009 (journal submission))
Cavalcanti, S., Cavani, S., Ciandrini, A., Avanzolini, G.: Mathematical modeling of arterial pressure response to hemodialysis-induced hypovolemia. Comput. Biol. Med. 36, 128–144 (2006)
Cobelli, C., Carson, E.R., Finkelstein, L., Leaning, M.S.: Validation of simple and complex models in physiology and medicine. Am. J. Physiol. Regul. Integr. Comp. Physiol. 246(2) R259–R266 (1984)
Cobelli, C., DiStefano 3rd, J.J.: Parameter and structural identifiability concepts and ambiguities: A critical review and analysis. Am. J. Physiol. 239(1), R7–R24 (1980)
Fink, M., Batzel, J.J., Kappel, F.: An optimal control approach to modeling the cardiovascular-respiratory system: An application to orthostatic stress. Cardiovasc. Eng. 4(1), 27–38 (2004)
Fink, M., Batzel, J.J., Kappel, F.: Modeling the human cardiovascular-respiratory control response to blood volume loss due to hemorrhage. In: Commault, C., Marchand, N. (eds.) Positive Systems: Lecture Notes in Control and Information Sciences, vol. 341, pp. 145–152. Springer, Berlin Heidelberg (2006)
Fink, M., Batzel, J.J., Tran, H.: A respiratory system model: parameter estimation and sensitivity analysis. Cardiovasc. Eng. 8(2), 120–134 (2008)
Furlan, R., Porta, A., Costa, F., Tank, J., Baker, L., Schiavi, R., Robertson, D., Malliani, A., Mosqueda-Garcia, R.: Oscillatory patterns in sympathetic neural discharge and cardiovascular variables during orthostatic stimulus. Circulation 101(8), 886–892 (2000)
Furlan, R., Jacob, G., Palazzolo, L., Rimoldi, A., Diedrich, A., Harris, P.A., Porta, A., Malliani, A., Mosqueda-Garcia, R., Robertson, D.: Sequential modulation of cardiac autonomic control induced by cardiopulmonary and arterial baroreflex mechanisms. Circulation 104(24), 2932–2937 (2001)
Goswami, N., Loeppky, J.A., Hinghofer-Szalkay, H.: LBNP: past protocols and technical considerations for experimental design. Aviat. Space Environ. Med. 79(5), 459–471 (2008)
Janssens, U., Graf, J.: Volume status and central venous pressure. Anaesthesist 58(5), 513–519 (2009)
Kappel, F., Fink, M., Batzel, J.J.: Aspects of control of the cardiovascular-respiratory system during orthostatic stress induced by lower body negative pressure. Math. Biosci. 206(2), 273–308 (2007)
Mosqueda-Garcia, R., Furlan, R., Fernandez-Violante, R., Desai, T., Snell, M., Jarai, Z., Ananthram, V., Robertson, R.M., Robertson, D.: Sympathetic and baroreceptor reflex function in neurally mediated syncope evoked by tilt. J. Clin. Invest. 99(11), 2736–2744 (1997)
Olufsen, M.S., Ottesen, J.T., Tran, H.T.: Modeling cerebral blood flow control during posture change from sitting to standing. Cardiovasc. Eng. 4(1), 47–58 (2004)
Olufsen, M.S., Ottesen, J.T., Tran, H.T., Ellwein, L.M., Lipsitz, L.A., Novak, V.: Blood pressure and blood flow variation during postural change from sitting to standing: Model development and validation. J. Appl. Physiol. 99(4), 1523–1537 (2005)
Pang, C.C.: Autonomic control of the venous system in health and disease: effects of drugs. Pharmacol. Ther. 90(2-3), 179–230 (2001)
Reid, J.G.: Structural identifiability in linear time-invariant systems. IEEE Trans. Automat. Contr. 22, 242–246 (1977)
Risk, M.R., Lirofonis, V., Armentano, R.L., Freeman, R.: A biphasic model of limb venous compliance: a comparison with linear and exponential models. J. Appl. Physiol. 95, 1207–1215 (2003)
Thomaseth, K.: Multidisciplinary modelling of biomedical systems. Comput. Meth. Programs Biomed. 71(3), 189–201 (2003)
Thomaseth, K., Cobelli, C.: Generalized sensitivity functions in physiological system identification. Ann. Biomed. Eng. 27(5), 607–616 (1999)
Thomaseth, K., Cobelli, C.: Analysis of information content of pharmakokinetic data using generalized sensitivity functions. In: Proceedings of the 22nd Annual EMBS International Conference of the IEEE, vol. 1, pp. 435–437 (2000)
Ursino, M., Antonucci, M., Belardinelli, E.: Role of active changes in venous capacity by the carotid baroreflex: analysis with a mathematical model. Am. J. Physiol. 267, H2531–H2546 (1994)
Acknowledgements
This research was partially funded by FWF (Austria) under project P18778-N13.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2013 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Thomaseth, K., Batzel, J.J., Bachar, M., Furlan, R. (2013). Parameter Estimation of a Model for Baroreflex Control of Unstressed Volume. In: Batzel, J., Bachar, M., Kappel, F. (eds) Mathematical Modeling and Validation in Physiology. Lecture Notes in Mathematics(), vol 2064. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-32882-4_11
Download citation
DOI: https://doi.org/10.1007/978-3-642-32882-4_11
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-32881-7
Online ISBN: 978-3-642-32882-4
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)