Evidence map›Paper›PMID 33002014›Full record

ArticlePloS one2020

Deep learning-based reduced order models in cardiac electrophysiology.

Stefania Fresca, Andrea Manzoni, Luca Dedè, Alfio Quarteroni

Abstract read
In one paragraph

Article in PloS one, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 17 papers.

0numbers the graph read from it
0cells of the map it votes in
17citing papers in PubMed
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

17 citing papers in PubMed.

  1. Probabilistic Cardiac Digital Twins for Robust Patient-Specific Modeling.bioRxiv : the preprint server for biology · 2026
    Article
  2. Article
  3. Review
  4. Full-field surrogate modeling of cardiac electrophysiology encoding geometric variability.Computer methods in applied mechanics and engineering · 2026
    Article
  5. Article
  6. Article
  7. Article
  8. Branched Latent Neural Maps.Computer methods in applied mechanics and engineering · 2024
    Article
  9. Article
  10. Article
  11. Review
  12. Article
  13. Article
  14. Data integration for the numerical simulation of cardiac electrophysiology.Pacing and clinical electrophysiology : PACE · 2021
    Review
  15. Polygonal surface processing and mesh generation tools for the numerical simulation of the cardiac function.International journal for numerical methods in biomedical engineering · 2021
    Article
  16. Article
  17. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Stefania FrescaMOX - Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.ORCID 0000-0001-8599-6588
Andrea ManzoniMOX - Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.
Luca DedèMOX - Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.
Alfio QuarteroniMOX - Dipartimento di Matematica, Politecnico di Milano, Milano, Italy.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Predicting the electrical behavior of the heart, from the cellular scale to the tissue level, relies on the numerical approximation of coupled nonlinear dynamical systems. These systems describe the cardiac action potential, that is the polarization/depolarization cycle occurring at every heart beat that models the time evolution of the electrical potential across the cell membrane, as well as a set of ionic variables. Multiple solutions of these systems, corresponding to different model inputs, are required to evaluate outputs of clinical interest, such as activation maps and action potential duration. More importantly, these models feature coherent structures that propagate over time, such as wavefronts. These systems can hardly be reduced to lower dimensional problems by conventional reduced order models (ROMs) such as, e.g., the reduced basis method. This is primarily due to the low regularity of the solution manifold (with respect to the problem parameters), as well as to the nonlinear nature of the input-output maps that we intend to reconstruct numerically. To overcome this difficulty, in this paper we propose a new, nonlinear approach relying on deep learning (DL) algorithms-such as deep feedforward neural networks and convolutional autoencoders-to obtain accurate and efficient ROMs, whose dimensionality matches the number of system parameters. We show that the proposed DL-ROM framework can efficiently provide solutions to parametrized electrophysiology problems, thus enabling multi-scenario analysis in pathological cases. We investigate four challenging test cases in cardiac electrophysiology, thus demonstrating that DL-ROM outperforms classical projection-based ROMs.

Indexed as

Deep LearningElectrophysiological PhenomenaModels, CardiovascularHeartMyocardial IschemiaNonlinear Dynamics

Identifiers

PMID33002014
PMCPMC7529269

What OpenQuestion holds

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Registered trials

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.