Volume 18 Supplement 1

19th Annual SCMR Scientific Sessions

Open Access

Debt-free cardiac health

  • Victor Farah1,
  • Mark Doyle1,
  • Geetha Rayarao1,
  • Diane V Thompson1,
  • Ronald B Williams1,
  • June A Yamrozik1,
  • Moneal Shah1 and
  • Robert W Biederman1
Journal of Cardiovascular Magnetic Resonance201618(Suppl 1):P247


Published: 27 January 2016


Predicting cardiac prognosis and outcome is important. As the heart progresses towards failure, it is known that the ventricular-vascular coupling (VVC) progresses from the optimal range (0.5 to 1.2) to values as high as 10 in severe failure. However, even hearts close to failure may exhibit a VVC in the normal range and thus its future predictive value is low. Here we consider the cardiac energy usage derived from cardiovascular magnetic resonance (CMR) to better utilize VVC data. To accomplish this we consider the difference between internal energy (EInternal) and external energy (EExternal) which we term energy debt (EDebt).


To establish the relationship between EDebt and VVC and show that EDebt adds to the assessment of cardiac health.


CMR volumetric image data were collected in patients (n = 90) undergoing functional evaluation to measure; end-systolic volume (ESV), end-diastolic volume (EDV), stroke volume (SV), blood pressure and heart rate. From the end-systolic pressure volume relationship (ESPVR) (Figure 1) the EInternal is calculated as:

EInternal = ½ ESV.Pes (equ 1)

Where Pes is considered to be approximated to the mean arterial pressure:

MAP = [DBP + 1/3 (SBP-DBP)] (equ 2)

The EExternal is calculated as:

EExternal = SV x Pes (equ 3)

VVC is calculated as:

VVC = ESV/SV (equ 4)

EDebt is calculated as:

EDebt = EInternal - EExternal (equ 5)

By substitution and arrangement:

EDebt = ½ Pes x SV x (VVC-2) (equ 6)

Figure 1


The plot of VVC vs. EDebt is fitted to a log curve (Figure 2). As is apparent from equ 6 and Figure 2, when the EDebt transitions from positive to negative the VVC exceeds 2. Further, note the high steepness of the curve for values when EDebt is positive.

Figure 2


Here we consider the net difference between internal and external ventricular work derived from non-invasive PV loops acquired during routine CMR exams. By regarding internal work as a negative burden and external work as a positive expression of cardiac function, we show that hearts with a net energy debt cross over to failure, while hearts with a net positive energy expression function normally. Thus, EDebt provides additional information, since even when the VVC is within the optimal working range, the heart may be close to crossing the debt line, masquerading dysfunction. Once crossed, the curve indicates that rapid acceleration to a high VVC may imminently follow. Importantly, we show that even hearts with a healthy VVC value, heretofore believed to be advantageous, may be close to failure by the net energy debt criteria.

Authors’ Affiliations

Cardiac MRI, Allegheny General Hospital


© Farah et al. 2016

This article is published under license to BioMed Central Ltd. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. The Creative Commons Public Domain Dedication waiver (http://creativecommons.org/publicdomain/zero/1.0/) applies to the data made available in this article, unless otherwise stated.