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Theoretical and Numerical Modeling of Nonlinear Electromechanics with applications to Biological Active Media

Communications in Computational Physics 2015年第1期17卷 93-126页

作者： Alessio Gizzi christian cherubini Simonetta Filippi Anna Pandolfi Nonlinear Physics and Mathematical Modeling Laboratory ***University Campus Bio-Medico of RomeVia A.del Portillo 2100128 RomeItaly International Center for Relativistic Astrophysics Network ***University Campus Bio-Medico of RomeVia A.del Portillo 2100128 RomeItaly Civil and Environmental Engineering Department Politecnico di Milano Piazza Leonardo da Vinci 3220133 MilanoItaly

We present a general theoretical framework for the formulation of the nonlinear electromechanics of polymeric and biological active *** approach developed here is based on the additive decomposition of the Helmholtz free energy in elastic and inelastic parts and on the multiplicative decomposition of the deformation gradient in passive and active *** describe a thermodynamically sound scenario that accounts for geometric and material *** view of numerical applications,we specialize the general approach to a particular material model accounting for the behavior of fiber reinforced ***,we use the model to solve via finite elements a uniaxial electromechanical problem dynamically activated by an electrophysiological *** for nonlinear solid mechanics and computational electrophysiology are finally discussed.

关键词： Active electromechanical media Helmholtz free energy multiplicative decomposition of the deformation gradient active deformation active stress

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Modelling Thermo-Electro-Mechanical Effects in Orthotropic Cardiac Tissue

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Communications in Computational Physics 2020年第1期27卷 87-115页

作者： Ricardo Ruiz-Baier Alessio Gizzi Alessandro Loppini christian cherubini Simonetta Filippi Mathematical Institute University of OxfordWoodstock RoadOxford OX26GGUnited Kingdom Laboratory of Mathematical Modelling Institute of Personalised MedicineSechenov UniversityMoscowRussian Federation Nonlinear Physics and Mathematical Modeling Department of EngineeringUniversity Campus Bio-Medico of RomeVia A.del Portillo 2100128RomeItaly International Center for Relativistic Astrophysics(ICRA) and ICRANetPiazza delle Repubblica 10I-65122 PescaraItaly

In this paper we introduce a new mathematical model for the active contraction of cardiac muscle,featuring different thermo-electric and nonlinear conductivity *** passive hyperelastic response of the tissue is described by an orthotropic exponential model,whereas the ionic activity dictates active contraction in-corporated through the concept of orthotropic active *** use a fully incompressible formulation,and the generated strain modifies directly the conductivity mechanisms in the medium through the pull-back *** also investigate the influence of thermo-electric effects in the onset of multiphysics emergent spatiotem-poral dynamics,using nonlinear *** turns out that these ingredients have a key role in reproducing pathological chaotic dynamics such as ventricular fibrillation during inflammatory events,for *** specific structure of the governing equations suggests to cast the problem in mixed-primal form and we write it in terms of Kirchhoff stress,displacements,solid pressure,dimensionless electric potential,activation generation,and ionic *** also advance a new mixed-primal finite element method for its numerical approximation,and we use it to explore the properties of the model and to assess the importance of coupling terms,by means of a few computational experiments in 3D.

关键词： Cardiac electromechanics orthotropic active strain thermo-electric coupling scroll wave propagation numerical simulations

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