Closing the loop: modelling of heart failure progression from health to end-stage using a meta-analysis of left ventricular pressure-volume loops
Related Experiment Video
Updated: Apr 19, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
David R Warriner1, Alistair G Brown2, Susheel Varma2
1Medical Physics Group, Department of Cardiovascular Science, University of Sheffield, Sheffield, S10 2TN, United Kingdom; Department of Cardiology, Northern General Hospital, Sheffield Teaching Hospitals, Sheffield, S5 7AU, United Kingdom.
Insights
This study quantitatively models heart failure (HF) progression using left ventricular (LV) pressure-volume loops. Elastance emerged as a key parameter for staging HF, offering objective measures beyond current guidelines.
Area of Science:
- Cardiovascular Physiology
- Biomedical Engineering
- Heart Failure Research
Background:
- Current American Heart Association (AHA)/American College of Cardiology (ACC) heart failure (HF) guidelines lack objective measures for staging.
- Left ventricular (LV) pressure-volume (PV) loop data offers a potential avenue for quantitative HF assessment.
- There is a need for precise parameters to categorize HF progression.
Purpose of the Study:
- To quantitatively demonstrate HF progression through AHA/ACC stages using a meta-analysis of LV PV loop data.
- To develop stage-specific HF models based on LV PV loop data.
- To identify objective parameters for HF classification.
Main Methods:
- Conducted a meta-analysis of 31 studies, extracting PV data from over 200 patients in various HF stages.
- Utilized digitizing software to extract and analyze raw pressure and volume data.
- Employed a 2-element lumped parameter model to represent mean LV PV loops and calculated elastance (Emax).
Main Results:
- Meta-analysis revealed decreased stroke volume (SV) and ejection fraction (EF%) with increased LV volumes as HF progressed.
- The lumped parameter model showed a close fit between mean PV loops across HF stages.
- LV elastance (Emax) was the sole statistically significant and consistent parameter differentiating HF stages.
Conclusions:
- Developed the first visual and quantitative representation of AHA/ACC stages of LVSD-HF.
- Demonstrated that load-independent parameters like elastance can objectively categorize and model HF.
- Established novel physiological parameters, including LV elastance, for each HF stage, identifying it as the primary determinant of HF severity in lumped parameter models.
Introduction:
The American Heart Association (AHA)/American College of Cardiology (ACC) guidelines for the classification of heart failure (HF) are descriptive but lack precise and objective measures which would assist in categorising such patients. Our aim was two fold, firstly to demonstrate quantitatively the progression of HF through each stage using a meta-analysis of existing left ventricular (LV) pressure-volume (PV) loop data and secondly use the LV PV loop data to create stage specific HF models.
Methods And Results:
A literature search yielded 31 papers with PV data, representing over 200 patients in different stages of HF. The raw pressure and volume data were extracted from the papers using a digitising software package and the means were calculated. The data demonstrated that, as HF progressed, stroke volume (SV), ejection fraction (EF%) decreased while LV volumes increased. A 2-element lumped parameter model was employed to model the mean loops and the error was calculated between the loops, demonstrating close fit between the loops. The only parameter that was consistently and statistically different across all the stages was the elastance (Emax).
Conclusions:
For the first time, the authors have created a visual and quantitative representation of the AHA/ACC stages of LVSD-HF, from normal to end-stage. The study demonstrates that robust, load-independent and reproducible parameters, such as elastance, can be used to categorise and model HF, complementing the existing classification. The modelled PV loops establish previously unknown physiological parameters for each AHA/ACC stage of LVSD-HF, such as LV elastance and highlight that it this parameter alone, in lumped parameter models, that determines the severity of HF. Such information will enable cardiovascular modellers with an interest in HF, to create more accurate models of the heart as it fails.
More Related Videos
07:13A Rat Model of Pressure Overload Induced Moderate Remodeling and Systolic Dysfunction as Opposed to Overt Systolic Heart Failure
Published on: April 30, 2020
07:41A Model of Reverse Vascular Remodeling in Pulmonary Hypertension Due to Left Heart Disease by Aortic Debanding in Rats
Published on: March 1, 2022
Related Concept Videos
Heart Failure II: Pathophysiology
Pathophysiology of Heart Failure
Heart Failure IV: Classification and Diagnostic Evaluation
Heart Failure I: Introduction
Mitral Regurgitation I: Introduction
Heart Failure V: Medical Management