Cardiovascular models
Cardiovascular models describe blood flow, pressure and the mechanical action of the heart and vessels.
Flow and resistance
A simple lumped relationship analogous to Ohm's law is
\[Q=\frac{\Delta P}{R},\]where \(Q\) is flow, \(\Delta P\) a pressure difference and \(R\) vascular resistance.
Compliance
Vascular compliance relates changes in blood volume and pressure:
\[C=\frac{dV}{dP}.\]Combining resistance and compliance gives compartment models for time-dependent pressure and flow.
More detailed models
Spatial blood-flow models can use conservation laws and fluid-dynamical equations, while whole-circulation models often use networks of lumped compartments.
Key idea. Cardiovascular mathematics links conservation of blood volume with pressure–flow relationships and vessel mechanics.