3. a) the windkessel model explains the relationship of the time response betwee

Question

3. a) the windkessel model explains the relationship of the time response between which two flow variables? b) Murray’s law relates the diameter of a parent artery to the diameters of the daughter arteries. What physical quantity is assumed to remain constant between the parent and daughter arteries? 3. a) the windkessel model explains the relationship of the time response between which two flow variables? b) Murray’s law relates the diameter of a parent artery to the diameters of the daughter arteries. What physical quantity is assumed to remain constant between the parent and daughter arteries? b) Murray’s law relates the diameter of a parent artery to the diameters of the daughter arteries. What physical quantity is assumed to remain constant between the parent and daughter arteries?

Explanation / Answer

Ans-3. a)The two flow variables between which the windkessel model explains the relationship of the time response are the following -

1) Blood flow - Since the blood flow is compared to that of current flowing in an electric circuit , it is represented as i(t)

2) Blood pressure - The blood pressure in the aorta ( the largest artery) is the second flow variable.It is modelled as a time varying electric potential, hence it is represented as v(t).

Ans- 3. b) The physical quantity that is assumed to remain constant according to Murray's law is the Dynamic Viscosity of the blood developed at the wall of the arteries.Dynamic Viscosity is the force needed by any fluid to overcome the friction between its molecules so that the liquid flows easily.

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