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A finite element framework for solving coupled multiphysics problems with moving boundaries in cell biophysics
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Unfitted finite element modelling of surface-bulk viscous flows in animal cells
Temperature dependent extensions of the Cahn–Hilliard equation
Francesco De Anna, Chun Liu, Anja Schlömerkemper and Jan-Eric Sulzbach Nonlinear Analysis: Real World Applications 77 104056 (2024) https://doi.org/10.1016/j.nonrwa.2023.104056
Hydrodynamics of multicomponent vesicles: A phase-field approach
Zuowei Wen, Navid Valizadeh, Timon Rabczuk and Xiaoying Zhuang Computer Methods in Applied Mechanics and Engineering 432 117390 (2024) https://doi.org/10.1016/j.cma.2024.117390
Variational models for the interaction of surfactants with curvature – existence and regularity of minimizers in the case of flexible curves
Christopher Brand, Georg Dolzmann and Alessandra Pluda ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik 103(7) (2023) https://doi.org/10.1002/zamm.202100169
Finite-Element Method for the Simulation of Lipid Vesicle/Fluid Interactions in a Quasi–Newtonian Fluid Flow
Regularization and Separation for Evolving Surface Cahn–Hilliard Equations
Diogo Caetano, Charles M. Elliott, Maurizio Grasselli and Andrea Poiatti SIAM Journal on Mathematical Analysis 55(6) 6625 (2023) https://doi.org/10.1137/22M1497213
Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces
A computational study of lateral phase separation in biological membranes
Vladimir Yushutin, Annalisa Quaini, Sheereen Majd and Maxim Olshanskii International Journal for Numerical Methods in Biomedical Engineering 35(3) (2019) https://doi.org/10.1002/cnm.3181
Gradient flow dynamics of two-phase biomembranes: Sharp interface variational formulation and finite element approximation
John W. Barrett, Harald Garcke and Robert Nürnberg The SMAI Journal of computational mathematics 4 151 (2018) https://doi.org/10.5802/smai-jcm.32
Modeling of multicomponent three-dimensional vesicles