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Physiology Cardiac Output 0eca62d8

A 60-year old patient underwent renal aery doppler which shows narrowing and turbulence in right renal aery. If radius of the aery is reduced by 1/3rd, resistance to blood flow in right kidney would have increased by:

A
3 times
B
9 times
C
16 times
D
81 times
High-Yield Explanation
"Fouh power law" of radius ~ Blood flow varies directly and resistance inversely with the fouh power of the radius (r 4). If the radius is changed by a factor of 3 (reduced by 1/3rd), resistance would change by (34).

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