S2: Haemodynamics II: Arterioles and Veins Flashcards
Give different equations for blood flow
Darcy’s law = Blood flow (CO) = Pa - CVP / TPR
Blood flow = Pa - CVP x G
G = conductance
- TPR controls blood flow and blood pressure
- Increase in resistance means need to increase pressure to keep same flow.
Equation for resistance (TPR)
Resistance (TPR) = 1 / Conductance (G)
Increase in resistance means decrease in conductance and vice versa
Resistance = 8 nL/ Pi r4
Factors controlling total peripheral resistance
- Poiseulle’s law
- Myogenic response
- Blood viscosity
Describe how TPR affects blood flow and pressure
Use hypertension as an example
Constriction causes an increase in blood pressure upstream from the constriction and downstream from the constriction will have a decrease in blood pressure which decreases flow.
Hypertension (high blood pressure) leads to over constriction of arterioles leads to reduction in blood flow which is harmful and causes end organ damage.
How does blood flow change in response to need?
Sitting can constrict blood vessels to legs, increasing TPR and decreasing flow to legs. This means more blood can be increased to intestines to aid with food digestion. The opposite occurs when running.
Describe Poiseuille’s law
Interaction of concentric cells in blood flow determines viscosity of blood
Blood flow = Pa - CVP x G
so Poiseuille’s law describes the parameter that govern TPR
Conductance (G) = Pi r4 / 8nl
Combines Darcy’s and Poiseulle Law
Resistance and conductance have an inverse relationship. The conductance can therefore be substituted into Darcy’s Law.
Blood flow = Pa - CVP x G
so
Blood flow = Pa - CVP x pi r4/ 8nL
n: blood viscocity
L= vessel length
What is the r4 effect?
By doubling radius of vessel, there is a 16 fold change of blood flow (2^4=16). Small changes of radius in vessels can drastically change blood flow - this is seen using poiseulle’s law on TPR
Increasing the radius increases blood flow
What is TPR controlled by?
- Radius 4
- Pressure difference across vessels - P1-P2
- Length L
Explain pressure drop in arterioles
Arteriole radius is tightly controlled by sympathetic nerves. They have a natural tone to the that allows them to dilate and constrict.
Arterioles have largest pressure drop of 40-50 mmHg amongst vessels because they have high TPR so downstream there is a big pressure drop.
Compare radius of arterioles and capillaries
ARTERIOLES
Walls contain smooth muscle and are innervated. Radius can be altered.
CAPILLARIES
No sympathetic innervation/smooth muscle in capillaries and they are made of endothelial cells. The radius of capillaries cannot be altered.
Compare pressure drop of arterioles and capillaries
ARTERIOLES
Pressure drop of (40-50 mmHg) which is more of a pressure drop than capillaries (compared to ventricular/arterial pressure)
CAPILLARIES
Less pressure drop in capillaries (20-30 mmHg) due to less resistance to blood flow in capillaries.
Compare resistance of arterioles and capillaries
ARTERIOLES
In contrast, arterioles are in series with arteries, arterioles, capillaries
RTotal = R1 + R2 etc – total resistance is greater
CAPILLARIES
Bolus flow reduces viscosity (η, see Poiseulle’s law)
Capillaries are arranged in parallel,
So have a low total resistance as RTotal = 1/R1 + 1/R2 etc (blood spreads out in large capillary network)
Compare length of arterioles and capillaries
Capillaries are shorter
What controls local blood flow?
Local blood flow through individual organs/tissues is mainly controlled by the changes in radius of arterioles supplying a given organ/tissue