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Updated: Jun 19, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
A model of mechanical interactions between heart and lungs
Julie Fontecave Jallon1, Enas Abdulhay, Pascale Calabrese
1PRETA Team, TIMC-IMAG, Faculté de Médecine, Bâtiment Taillefer, 38706 La Tronche Cedex, France. julie.fontecave@imag.fr
This study introduces a mathematical model integrating respiratory and cardiovascular systems to analyze cardiorespiratory mechanical interactions. The model accurately simulates physiological data, confirming significant mechanical links between the heart, lungs, and thorax.
Area of Science:
- Physiology
- Biomedical Engineering
- Computational Biology
Background:
- Understanding cardiorespiratory mechanical interactions is crucial for diagnosing and treating various medical conditions.
- Existing models often focus on either the respiratory or cardiovascular system independently, limiting the study of their interplay.
Purpose of the Study:
- To develop and validate a comprehensive mathematical model that integrates both ventilatory neuromuscular and cardiovascular systems.
- To investigate the mechanical interactions between the heart, lungs, and thorax using a coupled computational model.
Main Methods:
- Adapted a Liénard oscillator-based respiratory model to simulate respiratory centers, muscles, and rib cage mechanics.
- Integrated this respiratory model with a minimal hemodynamic system model of the cardiovascular system (Smith et al.).
- Coupled the models using pleural pressure from the respiratory system and intrathoracic blood volume from the cardiovascular system.
Main Results:
- The simulation results closely align with experimental data.
- The model's outputs are consistent with previously published literature findings.
- The simulations highlight the presence and significance of mechanical cardiorespiratory interactions.
Conclusions:
- The proposed integrated mathematical model effectively captures the mechanical cardiorespiratory interactions.
- This model serves as a valuable tool for further research into cardiorespiratory physiology and pathology.
- The findings underscore the importance of considering coupled cardiorespiratory mechanics in physiological studies.
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