Pressure and flow result from the interaction of the heart, the pump, and the arterial system, the load. The heart can be described on the basis of the pressure-volume relation, and the arterial load, by a Windkessel. The total number of parameters to describe cardiac pump function is 6, and for the three-element Windkessel it is 3. Using this limited number of parameters and dimensional analysis, the quantitative contribution of heart and load to systolic, diastolic pressure and Stroke Volume can be worked out. The normalized E(t) curve describing, the heart and the normalized input impedance, describing the arterial system, are similar in mammals, explaining the similarities of pressure and flow wave shapes in mammals. The contribution of heart and load in hypertension can be quantified.
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Redfield MM, Jacobsen SJ, Borlaug BA, Rodeheffer RJ, Kass DA. Age- and gender-related ventricular-vascular stiffening: a community-based study. Circulation. 2005;112:2254–62.CrossRefGoogle Scholar
Senzaki H, Chen C-H, Kass DA. Single-beat estimation of end-systolic pressure-volume relation in humans: a new method with the potential for noninvasive application. Circulation. 1996;94:2497–506.CrossRefPubMedGoogle Scholar
Stergiopulos N, Meister J-J, Westerhof N. Determinants of stroke volume and systolic and diastolic aortic pressure. Am J Phys. 1996;270:H2050–9.Google Scholar
Formaggia L, Lamponi D, Tuveri M, Veneziani A. Numerical modeling of 1D arterial networks coupled with a lumped parameters description of the heart. Comput Methods Biomech Biomed Engin. 2006;9:273–88.CrossRefPubMedGoogle Scholar
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. 2009;47:743–55.CrossRefPubMedGoogle Scholar
Gao H, Carrick D, Berry C, Griffith BE, Luo X. Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method. IMA J Appl Math. 2014;79:978–1010.CrossRefPubMedPubMedCentralGoogle Scholar
Munson BR, Young DF, Okiishi TH. Fundamentals of fluid mechanics. New York: Wiley; 1994.Google Scholar
Westerhof N, Elzinga G. Normalized input impedance and arterial decay time over heart period are independent of animal size. Am J Phys. 1991;261:R126–33.Google Scholar
Randall OS, van den Bos GC, Westerhof N. Systemic compliance: does it play a role in the genesis of essential hypertension? Cardiovasc Res. 1984;18:455–62.CrossRefPubMedGoogle Scholar
Elzinga G, Westerhof N. Pressure and flow generated by the left ventricle against different impedances. Circ Res. 1973;32:178–86.CrossRefPubMedGoogle Scholar
Maksuti E, Westerhof N, Westerhof BE, Broomé M, Stergiopulos N. Contribution of the arterial system and the heart to blood pressure during normal aging – a simulation study. PLoS One. 2016;11:e0157493.CrossRefPubMedPubMedCentralGoogle Scholar
Segers P, Stergiopulos N, Westerhof N. Quantification of the contribution of cardiac and arterial remodeling to hypertension. Hypertension. 2000;36:760–5.CrossRefPubMedGoogle Scholar