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The relation between the pressure drop and flow of a uniform segment of blood vessel is shown in the Figure in the box. The relation consists of a longitudinal impedance, which is described by Womersley’s oscillatory flow theory [1, 2], and a transverse impedance [3], describing the pressure-area (or volume) relation of the segment. The combination of longitudinal and transverse impedances gives characteristic impedance and wave propagation (Appendix 4).
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References
Jager GN, Westerhof N, Noordergraaf A. Oscillatory flow impedance in electrical analog of arterial system. Circ Res 1965;16:121–133.
Womersley JR. The mathematical analysis of the arterial circulation in a state of oscillatory motion. 1957, Wright Air Dev. Center, Tech Report WADC-TR-56-614.
Westerhof N, Noordergraaf A. Arterial viscoelasticity. A generalized model. J Biomech 1970;3:357–379.
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Westerhof, N., Stergiopulos, N., Noble, M.I.M. (2010). Vessel Segment. In: Snapshots of Hemodynamics. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-6363-5_33
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DOI: https://doi.org/10.1007/978-1-4419-6363-5_33
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