Pulmonary vascular resistance is the hydraulic resistance of the pulmonary vessels (veins, capillaries, arteries).
$$\Delta P = \text{PVR} \cdot Q$$
This flow is laminar, so the resistance is given by the Hagen-Poiseuille equation:
$$R = \frac{8 \mu l}{\pi r^4}$$
Where l is the tube length, r is the pipe (total cross-sectional) radius, and \(\mu\) is the fluid viscosity.
It is influenced by six factors
Confusingly, PVR is not independent of pressure. Resistance falls roughly with \(\frac{1}{\Delta P}\), due to
Therefore, the relationship between PAP and pulmonary blood flow is roughly parabolic:
$$Q \propto {\Delta P}^2 \text{ (roughly)}$$
PVR is minimal at FRC.
At volumes greater than FRC, the expanded alveoli compress the small pulmonary capillaries, increasing PVR.
At volumes less than FRC, the larger pulmonary arterial vessels, which are thin-walled and stented open by radial tension from the elastic lung parenchyma, collapse due to loss of this radial tension.
Mechanism:
And:
In normal physiology, HPV improves v/q matching by directing blood away from areas of low ventilation. In global pulmonary hypoxia, however, increases PVR substantially.
Biphasic process: rapid, then slow, with very gradual return to normal after withdrawal of hypoxic stimulus.
Just a laundry list of things that ALL increase PVR...
Pulmonary vasodilators
†inhaled agent
Pulmonary vasoconstrictors (basically all non-vasopressin systemic vasocostrictors...)
Because of Poiseuille: