A new computational framework for electro-activation in cardiac mechanics
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AuthorGarcía Blanco, Emilio; Ortigosa Martínez, Rogelio; Gil, Antonio J.; Lee, Chun Hean; Bonet, Javier
Knowledge AreaIngeniería MecánicaMatemática Aplicada
SponsorsThe second and third authors acknowledge the support provided by the Ser Cymru National Research Network under the Ser Cymru II Fellowship "Virtual engineering of the new generation of biomimetic artificial muscles", funded by the European Regional Development Fund. The third author acknowledges the financial support received through the European Training Network AdMoRe (Project ID: 675919).
Realizado en/conUniversidad Politécnica de Cartagena; Universidad de Glasgow; Universidad de Greenwich; Universidad de Swansea
This paper presents a novel computational framework for the numerical simulation of the electromechanical response of the myocardium during the cardiac cycle. The paper presents the following main novelties. (1) Two new mixed formulations, tailormade for active stress and active strain coupling approaches, have been developed and used in conjunction with two different ionic models, namely Bueno-Orovio et al. (2008) and Ten Tusscher et al. (2004). Taking as a reference the mixed formulations introduced by Bonet et al. (2015) in the context of nonlinear elasticity, the proposed formulations include as unknown fields the geometry and the transmembrane potential (and possibly a Lagrange multiplier enforcing weakly the incompressibility constraint) as well as the deformation gradient tensor, its cofactor, its determinant, the gradient of the transmembrane potential and their respective work conjugates. The Finite Element implementation of these formulations is shown in this paper, where a ...
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