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Updated: Jun 28, 2025

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Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
Published on: February 13, 2021
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Whole-heart electromechanical simulations using Latent Neural Ordinary Differential Equations.
Matteo Salvador1,2,3, Marina Strocchi4,5, Francesco Regazzoni6
1Institute for Computational and Mathematical Engineering, Stanford University, California, CA, USA. msalvad@stanford.edu.
NPJ Digital Medicine
|April 11, 2024
Summary
Artificial intelligence, using Latent Neural Ordinary Differential Equations (LNODEs), creates fast cardiac digital twins. This approach significantly reduces computational costs for personalized heart failure medicine.
Area of Science:
- Computational biology
- Biomedical engineering
- Artificial intelligence in medicine
Background:
- High-fidelity cardiac digital twins are crucial for personalized medicine but computationally expensive.
- Current multi-scale cardiac models present a barrier to widespread clinical adoption due to significant computational demands.
Purpose of the Study:
- To develop a computationally efficient method for creating accurate whole-heart digital twins.
- To enable faster simulations for personalized cardiac modeling using artificial intelligence.
Main Methods:
- Utilized Latent Neural Ordinary Differential Equations (LNODEs) to model cardiac pressure-volume dynamics.
- Trained a surrogate model using 400 simulations, incorporating 43 parameters of cardiac electromechanics and hemodynamics.
- Developed a compact Artificial Neural Network representation with 3 hidden layers and 13 neurons per layer.
Main Results:
- Achieved a compact latent space representation of a 3D-0D cardiac model.
- Enabled numerical simulations of cardiac function on a single processor, drastically reducing computational time.
- Successfully performed global sensitivity analysis and parameter estimation with uncertainty quantification within 3 hours on a single processor.
Conclusions:
- Latent Neural Ordinary Differential Equations offer a feasible approach to creating fast and accurate cardiac digital twins.
- This AI-driven method overcomes the computational barriers associated with traditional high-fidelity models.
- Facilitates personalized medicine applications, including efficient parameter estimation and sensitivity analysis for heart failure patients.

