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Updated: Apr 24, 2026

Lumped-Parameter and Finite Element Modeling of Heart Failure with Preserved Ejection Fraction
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Identification of the Unloaded Heart Configuration Including External Interactions.

Javiera Jilberto1, David Nordsletten1

  • 1University of Michigan, Ann Arbor, MI 48105, USA.

Functional Imaging and Modeling of the Heart : ... International Workshop, FIMH ..., Proceedings. FIMH (Conference)
|April 23, 2026
PubMed
Summary
This summary is machine-generated.

Accurately determining the heart's unloaded configuration is vital for patient-specific models. This study introduces a novel inverse mechanics method incorporating external forces to improve geometric accuracy and strain estimation.

Keywords:
Inverse mechanicscardiac mechanicsreference state

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Area of Science:

  • Computational mechanics
  • Biomedical engineering
  • Cardiac modeling

Background:

  • Accurate patient-specific cardiac models require precise determination of the heart's unloaded reference configuration.
  • Current inverse mechanics methods for estimating this configuration rely on accurate boundary conditions, often simplified as spring elements.
  • Existing boundary conditions do not fully capture localized external forces from surrounding structures like the ribs and diaphragm.

Purpose of the Study:

  • To develop a novel inverse mechanics approach for determining the unloaded cardiac geometry.
  • To integrate localized external forces, not directly measurable from medical images, into the inverse mechanics formulation.
  • To improve the physiological relevance and accuracy of estimated cardiac strains and stresses.

Main Methods:

  • The proposed method modifies the inverse mechanics formulation by penalizing large deformations, implicitly accounting for external forces.
  • This approach avoids complex optimization procedures typically required in inverse problems.
  • The method was validated using a series of computational test problems.

Main Results:

  • The novel approach successfully generated a reference cardiac configuration that closely matched the ground truth in test cases.
  • Circumferential strain estimations were improved by an order of magnitude compared to standard inverse mechanics methods.
  • The integration of external force effects through deformation penalization enhanced the accuracy of the unloaded geometry.

Conclusions:

  • The developed inverse mechanics method provides a more accurate and physiologically meaningful reference configuration for cardiac models.
  • Penalizing large deformations is an effective strategy for incorporating unmeasured external forces into cardiac mechanics.
  • This advancement holds significant potential for improving the accuracy of patient-specific cardiac modeling and clinical applications.