|| Balloon angioplasty is a technique to restore blood flow through coronary arteries that have been narrowed by the build-up of plaque. The surgeon threads a catheter into the cor- onary artery, then inflates a balloon that compresses the plaque against the wall of the artery. Suppose a diseased coronary ar- tery has a diameter of 2.0 mm. To what diameter must it be expanded to increase the blood flow by a factor of 5.0 with no change in pressure?

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**Balloon Angioplasty**

Balloon angioplasty is a medical procedure used to restore blood flow through coronary arteries that have been narrowed due to plaque buildup. During this procedure, a surgeon inserts a catheter into the coronary artery and inflates a balloon. This balloon presses the plaque against the artery walls, thereby widening the artery to improve blood flow.

**Problem Scenario:**

Consider a diseased coronary artery with an initial diameter of 2.0 mm. To enhance blood flow by a factor of 5.0 without altering the existing pressure, to what diameter should the artery be expanded?

This involves understanding the relationship between the diameter of the artery and the rate of blood flow, often modeled by Poiseuille's Law, which states that flow rate is proportional to the fourth power of the radius.
Transcribed Image Text:**Balloon Angioplasty** Balloon angioplasty is a medical procedure used to restore blood flow through coronary arteries that have been narrowed due to plaque buildup. During this procedure, a surgeon inserts a catheter into the coronary artery and inflates a balloon. This balloon presses the plaque against the artery walls, thereby widening the artery to improve blood flow. **Problem Scenario:** Consider a diseased coronary artery with an initial diameter of 2.0 mm. To enhance blood flow by a factor of 5.0 without altering the existing pressure, to what diameter should the artery be expanded? This involves understanding the relationship between the diameter of the artery and the rate of blood flow, often modeled by Poiseuille's Law, which states that flow rate is proportional to the fourth power of the radius.
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