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research article

Electromechanical Coupling In Cardiac Dynamics: The Active Strain Approach

Ambrosi, D.
•
Arioli, G.
•
Nobile, F.  
Show more
2011
Siam Journal On Applied Mathematics

The coupling between cardiac mechanics and electric signaling is addressed in a nonstandard framework in which the electrical potential dictates the active strain (not stress) of the muscle. The physiological and mathematical motivations leading us to this choice are illustrated. The propagation of the electric signal is assumed to be governed by the FitzHugh-Nagumo equations, rewritten in material coordinates with a deforming substrate; the solution is compared with the rigid case, and differences in celerity and width of a pulse are discussed. The role of viscoelasticity is pointed out. We show that the stretching of coordinates is insufficient to originate electromechanical feedback; nevertheless, it can increase the energy of a perturbation enough to produce a traveling pulse: an energy estimate and numerical evidence are reported. To support these conclusions, numerical simulations in two dimensions show the interplay between electric propagation and mechanical strain.

  • Details
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Type
research article
DOI
10.1137/100788379
Web of Science ID

WOS:000289974400010

Author(s)
Ambrosi, D.
Arioli, G.
Nobile, F.  
Quarteroni, A.  
Date Issued

2011

Publisher

Society for Industrial and Applied Mathematics

Published in
Siam Journal On Applied Mathematics
Volume

71

Start page

605

End page

621

Subjects

elasticity

•

cardiac mechanics

•

electromechanical coupling

•

FitzHugh-Nagumo equations

•

Contraction

•

Tissue

•

Model

•

Simulations

•

Excitation

•

Growth

•

Heart

Editorial or Peer reviewed

REVIEWED

Written at

EPFL

EPFL units
CSQI  
Available on Infoscience
December 16, 2011
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/74164
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