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Pressure-Volume Relationship (P-V Loop)

Describes the cyclic relationship between ventricular pressure (P) and volume (V) during the cardiac cycle. The area enclosed by the P-V loop represents the mechanical work done by the heart.

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The statement of the theorem

Let

P(V)

be the pressure-volume curve, where

P

is the ventricular pressure and

V

is the ventricular volume. The mechanical work done by the ventricle per cycle,

W_{cycle}

, is defined by the area enclosed by the closed path

\mathcal{C}

in the P-V plane:

W_{cycle} = \oint_{\mathcal{C}} P \cdot dV