Final answer:
The Law of Laplace states that the wall tension in a sphere is directly proportional to the pressure inside the sphere and the radius of the sphere. In the case of an aneurysm, the wall tension increases as the aneurysm grows larger and the radius of the blood vessel increases.
Step-by-step explanation:
The Law of Laplace is a mathematical concept that relates to the growth of an aneurysm. The Law of Laplace states that the wall tension in a sphere is directly proportional to the pressure inside the sphere and the radius of the sphere. In the case of an aneurysm, which is a balloon-like bulge in a blood vessel, the wall tension increases as the aneurysm grows larger and the radius of the blood vessel increases.
When an aneurysm grows, the wall tension increases, which can lead to a higher risk of rupture. The increased wall tension is due to the increased pressure exerted on the walls of the blood vessel and the larger radius of the aneurysm. Therefore, the Law of Laplace helps explain why larger aneurysms are more prone to rupture.
For example, if the radius of an aneurysm doubles, the wall tension quadruples according to the Law of Laplace. This puts greater stress on the blood vessel walls and increases the risk of rupture.