Darcy’s law
Q = ΔP/R
Q - flow in the steady state
ΔP - P1 - P2 pressure difference between two points
R - resistance
perfusion pressure
ΔP or Pa - Pv
vascular resistance
resistance of the circulation
apply Darcy’s law to circulation
blood flow = perfusion pressure/vascular resistance
what is perfusion pressure usually equivalent to? hence what could be another equation for cardiac output?
cardiac output = blood pressure/vascular resistance
which equations demonstrate the main determinants of blood pressure?
blood pressure = cardiac output x vascular resistance
cardiac output = stroke volume x heart rate
laminar flow
—>
——->
—>
turbulent flow
blood flows back and forth disorderly within the vessel
components which influence the resistance to laminar flow
Poiseuille’s Law
R ∝ (Lη)/r⁴
R - resistance
L - length of vessel
η - viscosity of blood
r - radius of vessel
note that radius has a significantly greater effect on resistance than the other factors (to the power of 4) so it is more efficient to increase radius than decrease length of vessel to decrease resistance
how do capillaries have such little resistance despite their small radius? why is some resistance still necessary?
what determines blood viscosity?
haematocrit - percentage ratio of erythrocytes to plasma
what causes changes in haematocrit? what effect does each have?
Fåhræus-Lindqvist effect
viscosity of a fluid changed with diameter of the tube it travels through
what happens to blood viscosity when diameter of the vessel decreases? why?
vasomotion
term encompassing vasoconstriction and vasodilation
what are vasoconstrictor nerves always doing?
tonically active imposing a constant squeezing “tone” on vessels which maintains TPR and therefore arterial blood pressure
what do sympathetic vasoconstrictor nerves innervate? which has the greatest innervation?
result of constriction of the arterioles vs venules
arteriole constriction - increases TPR, increases arterial blood pressure
venule constriction - increases venous return and/or speed of venous return
what stimulates vasodilation?
inhibition of sympathetic tone
which layer of the blood vessels has a role in vasomotion? how was this discovered?
how does ACh stimulate vasodilation?
how is NO produced by the endothelium?
what regulates the activity of NO synthase?
[intracellular Ca2+-calmodulin complex]