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28 July, 10:26

Consider a blood vessel of constant diameter and fixed length. Which equation expresses the relation between pressure gradient (ΔP), blood flow (F), and resistance (R) ? Remember that the Greek letter Δ (delta) means the difference in pressure between one end of the vessel and the other end

A) F = R / ΔP

B) ΔP = F / R

C) R = ΔP * F

D) F = R4

E) ΔP = F * R

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  1. 28 July, 10:35
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    E) ΔP = F * R

    Explanation:

    Let's look at Ohm's law:

    ΔV = I * R

    where I is the electric current, ΔV is the potential difference and R is the resistance.

    We can derive the relationship between pressure gradient (ΔP), blood flow (F), and resistance (R) by analogy, getting:

    ΔP = F * R

    or

    F = ΔP/R

    This means that the flow is proportional to the pressure difference and inversely proportional to the resistance.
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