Modeling fusion of cellular aggregates in biofabrication using phase field theories

DOI10.1016/j.jtbi.2012.03.003zbMath1337.92050OpenAlexW1977636145WikidataQ51347191 ScholiaQ51347191MaRDI QIDQ289485

F. Blanchet-Sadri, M. Dambrine

Publication date: 30 May 2016

Published in: Journal of Theoretical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jtbi.2012.03.003

zbMATH Keywords

fusionspectral methodscellular aggregatesphase fieldtissue

Mathematics Subject Classification ID

PDEs in connection with biology, chemistry and other natural sciences (35Q92) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Cell biology (92C37)

Related Items

Error analysis of a decoupled, linear stabilization scheme for the Cahn-Hilliard model of two-phase incompressible flows ⋮ Diffuse interface model for cell interaction and aggregation with lennard-Jones type potential ⋮ Numerical approximations for a three-component Cahn–Hilliard phase-field model based on the invariant energy quadratization method ⋮ Numerical approximations for the Cahn-Hilliard phase field model of the binary fluid-surfactant system ⋮ Using sacrificial cell spheroids for the bioprinting of perfusable 3D tissue and organ constructs: a computational study ⋮ Linear and unconditionally energy stable schemes for the binary fluid-surfactant phase field model

Uses Software

• FronTier

Cites Work

• Unnamed Item
• Unnamed Item
• Numerical approximations of Allen-Cahn and Cahn-Hilliard equations
• Numerical simulations of jet pinching-off and drop formation using an energetic variational phase-field method
• Volume of fluid (VOF) method for the dynamics of free boundaries
• An elasto-visco-plastic model of cell aggregates
• Level set methods and dynamic implicit surfaces
• A simple package for front tracking
• Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionnaires. II
• COMPUTATIONAL MODELING OF TISSUE SELF-ASSEMBLY
• The Immersed Interface Method for Elliptic Equations with Discontinuous Coefficients and Singular Sources
• A diffuse-interface method for simulating two-phase flows of complex fluids
• DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS
• On the error estimates for the rotational pressure-correction projection methods
• Free Energy of a Nonuniform System. I. Interfacial Free Energy
• On the Convergence of Discrete Approximations to the Navier-Stokes Equations
• Numerical Solution of the Navier-Stokes Equations
• Viscoelastic effects on drop deformation in steady shear
• Boundary integral methods for multicomponent fluids and multiphase materials.
• An immersed-boundary finite volume method for simulations of flow in complex geometries