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September 1, 1963Journal of Applied Physiology547 citations

Hemodynamics of collapsible vessels with tone: the vascular waterfall

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SPSolbert PermuttRRR. L. Riley

Structured PICO

P
Population
Theoretical model of arterioles with active tension produced by smooth muscle contraction
I
Intervention
Vascular waterfall model (pressure-flow relationships based on critical closing pressure)
C
Comparator
Poiseuille's law model
O
Outcome
Pressure-flow relationships and vascular resistance

Proposes the vascular waterfall model, suggesting that in arterioles with active tone, driving pressure is determined by the difference between inflow pressure and critical closing pressure.

Abstract

A theoretical analysis is presented of pressure-flow relationships in arterioles based on the assumption that the presence of active tension produced by smooth muscle contraction causes a critical closing pressure which is itself a function of the magnitude of the active tension. This analysis differs from those previously carried out in that it uses the pressure-flow relationships of a waterfall rather than those described by Poiseuille's law to characterize the flow between arterioles and capillaries in the presence of active tension. It is suggested that, under some conditions, the driving pressure for the flow through arterioles is not the difference between the inflow pressure and outflow pressure of the arterioles, but rather the difference between the inflow pressure and the critical closing pressure. This seemingly slight modification causes marked differences in the interpretation of pressure-flow relationships and vascular resistance in the presence of active tone. Submitted on December 10, 1962

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Cite This Study

Permutt et al. (1963) studied this question.

synapsesocial.com/papers/6a16922bb13aec50ea6b3f86https://doi.org/10.1152/jappl.1963.18.5.924
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