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- W2022773497 abstract "A mathematical model of reactive hyperaemia is developed using quasi-steady flow in a single tube to represent blood flow in the vascular bed. The role of the myogenic response during reactive hyperaemia is examined by suggesting a linear relationship between tube cross-sectional area S and pressure p, in which S decreases as p increases, thereby modelling the response of the smooth muscle in the blood vessel walls to increases in p which the myogenic mechanism proposes. However, this simple relationship, together with the equations of continuity and Poiseuille flow, lead to an unstable equation for p which is inconsistent with the known boundary conditions. It is necessary to make S a function of p and delta p delta t in order to achieve a stable response which implies that the myogenic response must be rate sensitive to pressure changes. The resulting equations are then solved for p, S, and flow Q by numerical integration and give results for Q which are in broad agreement with experiment." @default.
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- W2022773497 title "A single-tube mathematical model of reactive hyperaemia" @default.
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- W2022773497 doi "https://doi.org/10.1088/0031-9155/35/1/010" @default.
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