An isogeometric analysis formulation for red blood cell electro-deformation modeling

DOI10.1016/j.cma.2018.04.038zbMath1440.74432OpenAlexW2801447650MaRDI QIDQ1986212

Paolo Bisegna, Nicola A. Nodargi, Josef Kiendl, Federica Caselli, Laura De Lorenzis

Publication date: 8 April 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/11250/2587222

zbMATH Keywords

strong couplingisogeometric analysisthin shellbiological membraneelectro-deformation

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Membranes (74K15) Biomechanical solid mechanics (74L15) Cell biology (92C37)

Related Items (5)

Multiscale computational framework for predicting viscoelasticity of red blood cells in aging and mechanical fatigue ⋮ NURBS solid modeling for the three-dimensional limit analysis of curved rigid block structures ⋮ An isogeometric collocation method for the static limit analysis of masonry domes under their self-weight ⋮ Phase-field Navier-Stokes model for vesicle doublets hydrodynamics in incompressible fluid flow ⋮ Phase-field simulation of multiple fluid vesicles with a consistently energy-stable implicit-explicit method

Cites Work

• Unnamed Item
• Unnamed Item
• An adaptive meshfree method for phase-field models of biomembranes. II: A Lagrangian approach for membranes in viscous fluids
• Isogeometric shell analysis with Kirchhoff-Love elements
• Numerical computation of the elastic and mechanical properties of red blood cell membrane using the higher-order Cauchy-Born rule
• A quasi-continuum model for human erythrocyte membrane based on the higher order Cauchy-Born rule
• Isogeometric fluid-structure interaction: Theory, algorithms, and computations
• The application of domain derivative for heat conduction with mixed condition in shape reconstruction
• Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
• Isogeometric fluid-structure interaction analysis with applications to arterial blood flow
• Effective computational modeling of erythrocyte electro-deformation
• Isogeometric Kirchhoff-Love shell formulations for general hyperelastic materials
• Multi-degree smooth polar splines: a framework for geometric modeling and isogeometric analysis
• Atomistic-continuum model for probing the biomechanical properties of human erythrocyte membrane under extreme conditions
• A multiscale framework for large deformation modeling of RBC membranes
• Isogeometric Kirchhoff-Love shell formulations for biological membranes
• Existence and Uniqueness for Electrode Models for Electric Current Computed Tomography
• The domain derivative and two applications in inverse scattering theory
• Isogeometric Analysis
• A surface Cauchy–Born model for nanoscale materials

This page was built for publication: An isogeometric analysis formulation for red blood cell electro-deformation modeling