Resistance in the peripheral circulation (R) is termed the systemic vascular resistance SVR. The resistance in a single vessel is given by the following expression: 8Ln R= 774 Where L is the length of the vessel, n is the viscosity, and r is the radius of the vessel. Assume that you have the following system consisting of an arteriole and a capillary bed in series, where the capillaries in the capillary bed are in parallel. The viscosity of blood is n=3.4cP(centipoise) The length of the arteriole is given by LA, and the length of each capillary is LC.

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Resistance in the peripheral circulation (R) is termed the systemic vascular resistance SVR. The resistance in a single
vessel is given by the following expression:
8Ln
R=
Where L is the length of the vessel, n is the viscosity, and r is the radius of the vessel.
η
πr4
Assume that you have the following system consisting of an arteriole and a capillary bed in series, where the capillaries in
the capillary bed are in parallel. The viscosity of blood is n=3.4cP(centipoise)
The length of the arteriole is given by LA, and the length of each capillary is LC.
Arteriole
r₁ = 20μm
LA = 4.5mm
Capillary Bed
r₂ = 5μm
r4 = 4μm
13 =
Lc = 100μm
3μm
Compute the resistance of each of the vessels
in the diagram below.
Knowing that the circulatory system can be
compared to a circuit with resistors
representing the resistance of the vessels,
compute the total resistance of this system.
Give answers in units of (mmHg)(s)/cm^3
Transcribed Image Text:Resistance in the peripheral circulation (R) is termed the systemic vascular resistance SVR. The resistance in a single vessel is given by the following expression: 8Ln R= Where L is the length of the vessel, n is the viscosity, and r is the radius of the vessel. η πr4 Assume that you have the following system consisting of an arteriole and a capillary bed in series, where the capillaries in the capillary bed are in parallel. The viscosity of blood is n=3.4cP(centipoise) The length of the arteriole is given by LA, and the length of each capillary is LC. Arteriole r₁ = 20μm LA = 4.5mm Capillary Bed r₂ = 5μm r4 = 4μm 13 = Lc = 100μm 3μm Compute the resistance of each of the vessels in the diagram below. Knowing that the circulatory system can be compared to a circuit with resistors representing the resistance of the vessels, compute the total resistance of this system. Give answers in units of (mmHg)(s)/cm^3
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