Abstract
A 1D description of the arterial tree is coupled to a lumped parameter model of the remaining circulatory system, resulting in a closed-loop multiscale model of the cardiovascular apparatus. The regulation of the arterial pressure is also implemented through a short-term baroreceptor model. The proposed framework reproduces well the physiological cardiovascular behaviour of an healthy young man and the modelled baroreflex mechanism is effective in adjusting the hemodynamic responses to both heart pacing and open-loop aortic-carotid sinus control.
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References
Morris, P.D., Narracott, A., von Tengg-Kobligk, H., Silva Soto, D.A., Hsiao, S., Lungu, A., Evans, P., Bressloff, N.W., Lawford, P.V., Hose, D.R., Gunn, J.P.: Computational fluid dynamics modelling in cardiovascular medicine. Heart 102, 18–28 (2016). https://doi.org/10.1136/heartjnl-2015-308044
Shi, Y., Lawford, P., Hose, R.: Review of zero-D and 1-D models of blood flow in the cardiovascular system. Biomed. Eng. Online 10, 33 (2011). https://doi.org/10.1186/1475-925X-10-33
Liang, F., Takagi, S., Himeno, R., Liu, H.: Multi-scale modeling of the human cardiovascular system with applications to aortic valvular and arterial stenoses. Med. Biol. Eng. Comput. 47, 743–755 (2009). https://doi.org/10.1007/s11517-009-0449-9
Liang, F.Y., Takagi, S., Himeno, R., Liu, H.: Biomechanical characterization of ventricular-arterial coupling during aging: a multi-scale model study. J. Biomech. 42, 692–704 (2009). https://doi.org/10.1016/j.jbiomech.2009.01.010
Blanco, P.J., Trenhago, P.R., Fernandes, L.G., Feijóo, R.A.: On the integration of the baroreflex control mechanism in a heterogeneous model of the cardiovascular system. Int. J. Numer. Meth. Biomed. Engng. 28, 412–433 (2012). https://doi.org/10.1002/cnm.1474
Blanco, P.J., Feijóo, R.A.: A dimensionally-heterogeneous closed-loop model for the cardiovascular system and its applications. Med. Eng. Phys. 35, 652–667 (2013). https://doi.org/10.1016/j.medengphy.2012.07.011
Wayson, M.B., Leggett, R.W., Jokisch, D.W., Lee, C., Schwarz, B.C., Godwin, W.J., Bolch, W.E.: Suggested reference values for regional blood volumes in children and adolescents. Phys. Med. Biol. 63, 155022 (2018). https://doi.org/10.1088/1361-6560/aad313
Guala, A., Camporeale, C., Tosello, F., Canuto, C., Ridolfi, L.: Modelling and subject-specific validation of the heart-arterial tree system. Ann. Biomed. Eng. 43, 222–237 (2015). https://doi.org/10.1007/s10439-014-1163-9
Scarsoglio, S., Gallo, C., Ridolfi, L.: Effects of atrial fibrillation on the arterial fluid dynamics: a modelling perspective. Meccanica 53, 3251–3267 (2018). https://doi.org/10.1007/s11012-018-0867-6
Heldt, T., Shim, E.B., Kamm, R.D., Mark, R.G.: Computational modeling of cardiovascular response to orthostatic stress. J. Appl. Physiol. 92, 1239–1254 (2002). https://doi.org/10.1152/japplphysiol.00241.2001
Korakianitis, T., Shi, Y.: Numerical simulation of cardiovascular dynamics with healthy and diseased heart valves. J. Biomech. 39, 1964–1982 (2006). https://doi.org/10.1016/j.jbiomech.2005.06.016
Ottesen, J., Olufsen, M., Larsen, J.: Applied Mathematical Models in Human Physiology. Society for Industrial and Applied Mathematics, Philadelphia (2004)
Caro, C.G., Pedley, T.Y., Schroter, R.C., Seed, W.A.: The Mechanics of the Circulation, 2nd edn. Cambridge University Press, New York (2012)
Guyton, A., Hall, J.: Textbook of Medical Physiology, 11th edn. Elsevier Saunders, Philadelphia (2006)
Noble, M.I.M., Trenchord, D., Guz, A.: Effect of changing heart rate on cardiovascular function in the conscious dog. Circ. Res. 19, 206–213 (1966). https://doi.org/10.1161/01.RES.19.1.206
Stein, E., Damato, A.N.: The relation of heart rate to cardiovascular dynamics. Circulation 33, 925–932 (1966). https://doi.org/10.1161/01.cir.33.6.925
Miller, D.E., Gleason, W.L., Whalen, R.E., Morris, J.J., Mclntosh, H.D.: Effect of ventricular rate on the cardiac output in the dog with chronic heart block. Circ. Res. 10, 658–663 (1962). https://doi.org/10.1161/01.RES.10.4.658
Berglund, E., Borst, H.G., Duff, F., Schreiner, G.L.: Effect of heart rate on cardiac work, myocardial oxygen consumption and coronary blood flow in the dog. Acta Physiol. 42, 185–198 (1958). https://doi.org/10.1111/j.1748-1716.1958.tb01551.x
Bolter, C.P., Ledsome, J.R.: Effect of cervical sympathetic nerve stimulation on canine carotid sinus reflex. Am. J. Physiol. 230, 1026–1030 (1976). https://doi.org/10.1152/ajplegacy.1976.230.4.1026
Cox, R.H., Bagshaw, R.J.: Baroreceptor reflex control of arterial hemodynamics in the dog. Circ. Res. 37, 772–786 (1975). https://doi.org/10.1161/01.RES.37.6.772
Shoukas, A.A., Connoly-Brunner, M.: Epinephrine and the carotid sinus baroreceptor reflex. Circ. Res. 47, 249–257 (1980). https://doi.org/10.1161/01.RES.47.2.249
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Gallo, C., Ridolfi, L., Scarsoglio, S. (2020). A Closed-Loop Multiscale Model of the Cardiovascular System: Application to Heart Pacing and Open-Loop Response. In: Henriques, J., Neves, N., de Carvalho, P. (eds) XV Mediterranean Conference on Medical and Biological Engineering and Computing – MEDICON 2019. MEDICON 2019. IFMBE Proceedings, vol 76. Springer, Cham. https://doi.org/10.1007/978-3-030-31635-8_69
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