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Updated: Jun 17, 2026

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Optical Mapping of Action Potentials and Calcium Transients in the Mouse Heart
Published on: September 13, 2011
Modeling calcium-dependent passive cardiac mechanics in the mouse.
Will Zhang1, Filip Jezek1, Anthony J Baker2
1Department of Biomedical Engineering, University of Michigan, Ann Arbor, MI, USA.
Acta Biomaterialia
|June 15, 2026
Summary
Calcium significantly impacts passive myocardial mechanics, contrary to previous assumptions. This study models calcium
Area of Science:
- Cardiovascular Mechanics
- Biophysics
- Biomaterials
Background:
- Previous research focused on nonlinearity, anisotropy, and viscoelasticity in myocardial mechanics.
- Calcium was primarily thought to influence active, not passive, cardiac mechanics.
- Recent studies reveal calcium significantly affects passive myocardial viscoelasticity.
Purpose of the Study:
- To extend fractional viscoelastic constitutive models to include calcium-sensitive passive mechanics.
- To investigate the implications of calcium cycling on dynamic passive cardiac function.
- To model the contribution of altered passive mechanics to diastolic heart failure.
Main Methods:
- Developed extended fractional viscoelastic constitutive models.
- Incorporated additional Maxwell arms to capture calcium's effect on passive mechanics.
- Utilized a Hill curve to model calcium concentration dependence.
Main Results:
- Calcium's effect necessitates additional Maxwell arms in viscoelastic models.
- Calcium induces a pure viscoelastic response with a first-order exponential decay (time constant ~2.17s).
- This model accurately captures passive mechanics across various calcium levels.
- Calcium dependence acts as a scaling factor, potentially increasing passive mechanics sixfold in mouse trabeculae.
Conclusions:
- Calcium significantly modulates passive myocardial mechanics, challenging prior assumptions.
- The developed fractional viscoelastic model accurately represents calcium's influence.
- This work enables more precise computational cardiac models, particularly for diastolic dysfunction.

