Can I please have help on number 6 radius in the control sta

radius in the control state (before occlusion) and r is the radius during the reactive hyperemia? Assume flow. Assume that the resistance in the coronary artery equals the resitance in the distal arteries prior to occlusion. A bioengineering student lessthanorequalto about a company, Laserlinc, and their product ..... Scanning Laser Micrometer .... for measuring in a non0contacting fashion, the diameter of tubes. The principle of operation of the Laserlinc product is found at the following URL: The student applies the laser micrometer to the measurement of the diameter of a blood vessel. In particular the student determines the blood vessel diameter at systole and also the blood vessel diameter at diastole. The diameter of the blood vessel during systole is slightly larger than the diameter of the blood vessel during diastole. Given this information, and assuming the blood vessel can be modeled as a round, circular, straight tube, derive an expression for the relationship between the change in diameter over the cardiac cycle to the change in vessel volume during the cardiac cycle.

Solution

During the cardiac cycle the changes in diameter of blood vessels is responsible for blood pressure regulation.Velocity or speed of blood flow changes as it passes through the systemic circulation; it is fastest in the aorta, and declines in velocity as vessel diameter decreases (and then increases on the venous side as vessel diameter increases again).

Throughout the cardiac cycle, the blood pressure increases and decreases. As ventricles contract the pressure rise, causing the AV valves to slam shut.

The venous diameter decreased in early systole, increasing thereafter to a maximum level in early diastole and then declined towards end diastole. The arterial diameter peaks in mid-late systole which represents a blood flow increase.