Key result
A new mathematical model linking oxygen consumption to areas under the end-systolic pressure-volume relation was developed, introducing the concept of external energy reserve.
This theoretical study provides new mathematical models linking myocardial oxygen consumption to the total area under the end-systolic pressure-volume relation, introducing the concept of external energy reserve.
Hypothesis-generating for LV energetics; leaves open clinical translation of external energy reserve until validated.
This study presents new mathematical relations to link oxygen consumption to different areas under the end-systolic pressure-volume relation (ESPVR). The approach consists of approximating the relation between oxygen consumption and left ventricular pressure by a quadratic polynomial, and then relating the coefficients of the quadratic polynomial to different areas under the ESPVR. The procedure applies to both ejecting contraction and isovolumic contraction. The concept of external energy reserve, EER, is introduced and experimental data that corroborate the derived theoretical results are discussed. The clinical significance of the results obtained enhances the potential possibility of using ESPVR in clinical work.
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Rachad M. Shoucri (1993) studied Left Ventricular Energetics. Mathematical modeling of oxygen consumption and ESPVR was evaluated on Mathematical relations linking oxygen consumption to areas under the ESPVR. A new mathematical model linking oxygen consumption to areas under the end-systolic pressure-volume relation was developed, introducing the concept of external energy reserve.
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