How Plaque Reduces Artery Radius: Calculating with Poiseuille's Law

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Homework Help Overview

The discussion revolves around calculating the reduction in artery radius due to plaque formation, utilizing Poiseuille's Law. The original poster presents a scenario where the flow rate in an artery has decreased to 30% of its normal value, accompanied by a 30% increase in pressure difference.

Discussion Character

  • Mathematical reasoning, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to apply a formula derived from Poiseuille's Law to determine the radius reduction. Some participants question the interpretation of the flow rate and pressure values, suggesting different approaches to the calculations.

Discussion Status

Participants are actively engaging with the problem, exploring different interpretations of the flow rate and pressure increase. There is a collaborative effort to clarify the correct values to use in the calculations, but no consensus has been reached on the final approach.

Contextual Notes

There is some confusion regarding the interpretation of the flow rate reduction and the pressure increase, which may affect the calculations. The original poster's assumptions and the imposed constraints of the homework are under discussion.

cyberdx16
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Homework Statement


When physicians diagnose arterial blockages, they quote the reduction in flow rate. If the flow rate in an artery has been reduced to 30% of its normal value due to plaque formation, and the average pressure difference has increased by 30%, by what factor has the plaque reduced the radius of the artery?


Homework Equations



Poiseuille's Law.

The Attempt at a Solution



what i used was R=(.7/1.3)^.25 and get that only 85.6% of the radius of the artery is available, and has been reduced by 14.4%
 
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I think you want to use .3 in the numerator, ie

flow is now 30 percent of original, not been reduced by 30%
 
Last edited:
wouldn't the presure rate be increased by .3 so from its original, which is 1 and add .3 for the increase. But yeah i just tried .3 and it didnt work
 
Its both .3 and 1.3, (.3/1.3)^.25 is that what you tried?
 
yeah you are right denverdoc! thx
 
NP. FYI when occlusion reaches 80 percent and above, bad news. This guy has lost some exercise tolerance but still in decent shape re meeting oxygen demands.
 

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