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Windkessel Model

A lumped-parameter model representing the arterial system as a compliance chamber and a resistance, predicting pulse wave propagation and pressure dampening.

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The statement of the theorem

The Windkessel model describes the arterial pressure

P(t)

using a lumped-parameter circuit involving compliance

C

and peripheral resistance

R

C \frac{dP}{dt} + \frac{P(t)}{R} = Q_{in}(t)

where

Q_{in}(t)

is the flow rate into the arterial system.