# Using formulas to explain why contraction of blood vessels leads to increased blood pressure

I know, I know this is probably a question too simple to be asked on a forum like biology stack exchange. Problem is, I looked many places and can't seem to find a more mathematical approach to explain why the contraction of a BV leads to increased blood pressure (BP). The main formula i'm looking at is Flow = Pressure/Resistance. In addition, Flow = Area x velocity so Area x velocity = Pressure/Resistance. As the BV constricts, the radius, ie. area, decreases, and so the pressure decreases. But clearly, that is not the case.

What am I missing here?

• Basic physiology questions are my personal favourite +1...anyways have you tried it this way (I'm supposing):area decreases, so flow decreases (possibly because resistance (R) increases in the blood vessel)...now to keep the flow constant the pressure (P) needs to be increased...what I 'm trying to say is that P increases to counter reduced flow as R increases. – user 33690 Apr 17 '18 at 7:50