Micro-structurally Based Kinematic Approaches to Electromechanics of the Heart

  • Serdar Göktepe
  • Andreas Menzel
  • Ellen Kuhl


This contribution is concerned with a new kinematic approach to the computational cardiac electromechanics. To this end, the deformation gradient is multiplicatively decomposed into the active part and the passive part. The former is considered to be dependent on the transmembrane potential through a micro-mechanically motivated evolution equation. Moreover, the proposed kinematic framework incorporates the inherently anisotropic, active architecture of cardiac tissue. This kinematic setting is then embedded in the recently proposed, fully implicit, entirely finite-element-based coupled framework. The implicit numerical integration of the transient terms along with the internal variable formulation, and the monolithic solution of the resultant coupled set of algebraic equations result in an unconditionally stable, modular, and geometrically flexible structure. The capabilities of the proposed approach are demonstrated by the fully coupled electromechanical analysis of a generic heart model.


Deformation Gradient Kinematic Setting Kirchhoff Stress Tensor Kinematic Approach Passive Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



The research by SG leading to these results has received funding from the European Union Seventh Framework Programme (FP7/2007-2013) under grant agreement no: PCIG09-GA-2011-294161. Work of EK has received financial support from the National Science Foundation CAREER award CMMI-0952021 and from the National Institutes of Health Grant U54 GM072970.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Civil EngineeringMiddle East Technical UniversityAnkaraTurkey
  2. 2.Institute of MechanicsTU DortmundDortmundGermany
  3. 3.Division of Solid MechanicsLund UniversityLundSweden
  4. 4.Departments of Mechanical Engineering, Bioengineering, and Cardiothoracic SurgeryStanford UniversityStanfordUSA

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