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- Dec 7, 2014
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Hi, I'm a little confused on the (mathematical) relationships between vascular compliance & resistance and venous return.
I remember learning that venoconstriction causes an increase in VR, and it also makes sense to me conceptually - constricting the veins causes their compliance/capacitance to drop, and more blood is "forced" into the heart (there're valves and the blood can't go backwards).
And then there's this equation which is driving me crazy:
VR = (MSFP - CVP)/RVR
where MSFP = mean systemic filling pressure; CVP = central venous pressure or right atrial pressure; RVR = resistance to venous return.
It's pretty obvious that a decrease in compliance causes an increase in MSFP. But when you constrict the veins, venous resistance should also increase, wouldn't this oppose the increase in VR caused by the increase in MSFP?
I tried assuming that the increase in MSFP overrides the increase in RVR. But what about vasoconstriction of arterioles? I read somewhere that vasoconstriction of arterioles causes VR to decrease (because you're preventing the blood from flowing to the venous compartment from the arterioles), but according to this equation, both MSFP and RVR should also increase in the case of vasoconstriction? There's also this equation that I found in some papers: RVR = Rv + Ra/19, where Rv = venous resistance and Ra = arterial resistance. According to this logic, an increase in venous resistance should be 19 times more apparent than an equivalent increase in arterial resistance? How do I make sense of arteriolar vasoconstriction mathematically?
Also, in the case of sympathetic stimulation, both vaso and venoconstriction should occur, but why do we say that sympathetic stimulation increases venous return?
I remember learning that venoconstriction causes an increase in VR, and it also makes sense to me conceptually - constricting the veins causes their compliance/capacitance to drop, and more blood is "forced" into the heart (there're valves and the blood can't go backwards).
And then there's this equation which is driving me crazy:
VR = (MSFP - CVP)/RVR
where MSFP = mean systemic filling pressure; CVP = central venous pressure or right atrial pressure; RVR = resistance to venous return.
It's pretty obvious that a decrease in compliance causes an increase in MSFP. But when you constrict the veins, venous resistance should also increase, wouldn't this oppose the increase in VR caused by the increase in MSFP?
I tried assuming that the increase in MSFP overrides the increase in RVR. But what about vasoconstriction of arterioles? I read somewhere that vasoconstriction of arterioles causes VR to decrease (because you're preventing the blood from flowing to the venous compartment from the arterioles), but according to this equation, both MSFP and RVR should also increase in the case of vasoconstriction? There's also this equation that I found in some papers: RVR = Rv + Ra/19, where Rv = venous resistance and Ra = arterial resistance. According to this logic, an increase in venous resistance should be 19 times more apparent than an equivalent increase in arterial resistance? How do I make sense of arteriolar vasoconstriction mathematically?
Also, in the case of sympathetic stimulation, both vaso and venoconstriction should occur, but why do we say that sympathetic stimulation increases venous return?