In reference to vasoconstriction and vasodilation, they are
an important means of regulating blood flow through blood vessels.
Arteries and arterioles have their own tiny smooth muscles that can constrict or dilate (causing vasodilation) depending on CO2 concentrations. When we breathe more, our arterial CO2 levels lower, blood vessels constrict and vital organs (like the brain, heart, kidneys, liver, stomach, spleen, colon, etc.) get less blood supply. Similarly, hypocapnia causes spasm of all other smooth muscles of the human body: airways or bronchi and bronchioles, diaphragm, colon, bile ducts, etc.When you get a small bleeding cut or a wound, deliberately hyperventilate and see if that can help stop the bleeding. It should, due to vasoconstriction.