Calculating Pressure Increase in Arteries with Fatty Tissue Build-Up

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SUMMARY

The discussion centers on calculating the pressure increase required to maintain constant blood flow in arteries with a 10% reduction in radius due to fatty tissue build-up. Utilizing Poiseuille's equation, the initial calculations suggest a 23% increase in pressure based on the area ratio derived from the continuity equation. However, further analysis indicates that the actual pressure increase needed is approximately 52%. This discrepancy highlights the importance of accurately applying fluid dynamics principles in biological systems.

PREREQUISITES
  • Understanding of Poiseuille's equation
  • Knowledge of fluid dynamics principles
  • Familiarity with the concept of blood flow continuity
  • Basic calculus for solving equations
NEXT STEPS
  • Study the derivation and applications of Poiseuille's equation
  • Explore the effects of arterial narrowing on hemodynamics
  • Learn about the continuity equation in fluid dynamics
  • Investigate the physiological implications of increased arterial pressure
USEFUL FOR

This discussion is beneficial for students in biomedical engineering, healthcare professionals studying cardiovascular dynamics, and anyone interested in the effects of arterial blockages on blood flow and pressure regulation.

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Homework Statement


Suppose that the build-up of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure provided by the heart have to be increased to maintain a constant blood flow?


Homework Equations


Poiseuille's equation


The Attempt at a Solution


52%?
 
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This was a while ago, but I hope someone can help me. I'm using continuity and get A1/A2 = 1.23, and using P = F/A, it looks like P1 = 1.23P2, which is a 23 percent increase. How do you get 52%? A little help? Thanks.
 

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