Laplaces law

This states that the wall tension required to withstand a given fluid pressure is directly proportional to the vessel radius. The intraluminal blood pressure exerts a distending and compressive force on the arterial wall, with a circumferential stretching force being applied tangentially to the arterial wall. The expansion of arterial walls is normally limited by collagen fibres, and weakening leads to aneurysm formation, progressing to rupture of the vessel. Wall tension T — Pr, where P is the pressure and r is the radius of the lumen. At a critical closing pressure, the vessel closes.

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