Updated: 3/13/2018

Resistance, Pressure, and Flow

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  • Vessel Pressure
    • Overview
      • a change in pressure in a vessel is equal to flow times resistance: ΔP = Q x R
        • this is similar to Ohm's law where a change in voltage is equal to current times resistance: ΔV = IR
      • a pressure gradient drives flow from high pressure to low
  • Resistance
    • Formula
      • resistance = (driving pressure ΔP) / (flow Q) = (8η)(viscosity)(length) / (Ï€r4)
      • is directly proportional to viscosity and inversely proportional to the radius of a vessel raised to the 4th power
    • Peripheral resistance
      • arterioles account for most of the total peripheral resistance in the cardiovascular system
      • regulates capillary flow
    • Total resistance
      • the total resistance of vessels in series is determined by summing the resistance of each vessel: RTOTAL = R1 + R2 + R3 + ...
      • the total resistance of vessels in parallel is determined by taking the inverse of the sum of the inverses of the resistance of each vessel: 1/RTOTAL= 1/R1 + 1/R2 + 1/R3 + ...
      • these calculations are done similarly to adding electrical resistors
  • Viscosity
    • Viscosity depends mostly on hematocrit
    • Viscosity is increased in several disease states:
      • polycythemia
        • conversely, anemia decreases the viscosity
      • hyperproteinemic states (e.g., multiple myeloma)
      • hereditary spherocytosis
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(M1.CV.12.79) A peripheral artery is found to have 50% stenosis. Therefore, compared to a normal artery with no stenosis, by what factor has the flow of blood been decreased?

QID: 100595

2

8%

(16/209)

4

14%

(29/209)

8

10%

(21/209)

16

65%

(136/209)

32

2%

(5/209)

M 1 E

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