Abstract
Bio-membranes are the basic separation structure in animal cells. Their complex behaviour, rich physical properties, formation and dynamics have been the object of experimental and theoretical investigation for biologists, chemists and physicists for many years. Bio-membranes are made out of several kinds of lipids self-assembled in a fuid bilayer, which presents a fluid behaviour in-plane and solid out-of-plane (curvature elasticity). Vesicles are closed fluid membranes, which play an important role in biophysical processes such as transfer of proteins, antibodies or drug delivery into the cells. Vesicles serve as simplified models of more complex cell membranes, as well as the basis for bio-mimetic engineered systems. Bio-membranes only exist in solution and intimately interact with the surrounding fluid, which owing to the characteristic sizes and velocities, can be modeled with the incompressible Stokes equations. The aim of our work is to simulate the dynamics of the interaction between a bio-membrane and the fluid media surrounding. We take as basis our previous work on bio-membrane simulations [1], in which the solution of the fourth order PDE governing the bending elasticity of a vesicle is tackled with a phase-field or diffuse interface approach. The nonlinear, fourth-order PDE governing the phase field are conveniently solved using the local maximum-entropy (LME) approximants, a type of meshfree shape functions [2]. We merge the phase field model with the Stokes fluid media to treat naturally the coupling between the viscous forces in the fluid, the elastic forces due to the membrane, and the various constraints in the problem. The dynamics arise from a variational principle, and dictate the Lagrangian motion of the particles, convecting the phase field.
| Original language | English (US) |
|---|---|
| Title of host publication | Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI |
| Pages | 397-409 |
| Number of pages | 13 |
| State | Published - Dec 1 2011 |
| Event | 11th International Conference on Computational Plasticity, COMPLAS XI - Barcelona, Spain Duration: Sep 7 2011 → Sep 9 2011 |
Publication series
| Name | Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI |
|---|
Conference
| Conference | 11th International Conference on Computational Plasticity, COMPLAS XI |
|---|---|
| Country | Spain |
| City | Barcelona |
| Period | 9/7/11 → 9/9/11 |
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All Science Journal Classification (ASJC) codes
- Polymers and Plastics
Cite this
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Simulation of the dynamics of bio-membranes in a viscous fluid with a phasefield variational Lagrangian approach. / Peco Regales, Christian; Rosolen, A.; Arroyo, M.
Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI. 2011. p. 397-409 (Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI).Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
TY - GEN
T1 - Simulation of the dynamics of bio-membranes in a viscous fluid with a phasefield variational Lagrangian approach
AU - Peco Regales, Christian
AU - Rosolen, A.
AU - Arroyo, M.
PY - 2011/12/1
Y1 - 2011/12/1
N2 - Bio-membranes are the basic separation structure in animal cells. Their complex behaviour, rich physical properties, formation and dynamics have been the object of experimental and theoretical investigation for biologists, chemists and physicists for many years. Bio-membranes are made out of several kinds of lipids self-assembled in a fuid bilayer, which presents a fluid behaviour in-plane and solid out-of-plane (curvature elasticity). Vesicles are closed fluid membranes, which play an important role in biophysical processes such as transfer of proteins, antibodies or drug delivery into the cells. Vesicles serve as simplified models of more complex cell membranes, as well as the basis for bio-mimetic engineered systems. Bio-membranes only exist in solution and intimately interact with the surrounding fluid, which owing to the characteristic sizes and velocities, can be modeled with the incompressible Stokes equations. The aim of our work is to simulate the dynamics of the interaction between a bio-membrane and the fluid media surrounding. We take as basis our previous work on bio-membrane simulations [1], in which the solution of the fourth order PDE governing the bending elasticity of a vesicle is tackled with a phase-field or diffuse interface approach. The nonlinear, fourth-order PDE governing the phase field are conveniently solved using the local maximum-entropy (LME) approximants, a type of meshfree shape functions [2]. We merge the phase field model with the Stokes fluid media to treat naturally the coupling between the viscous forces in the fluid, the elastic forces due to the membrane, and the various constraints in the problem. The dynamics arise from a variational principle, and dictate the Lagrangian motion of the particles, convecting the phase field.
AB - Bio-membranes are the basic separation structure in animal cells. Their complex behaviour, rich physical properties, formation and dynamics have been the object of experimental and theoretical investigation for biologists, chemists and physicists for many years. Bio-membranes are made out of several kinds of lipids self-assembled in a fuid bilayer, which presents a fluid behaviour in-plane and solid out-of-plane (curvature elasticity). Vesicles are closed fluid membranes, which play an important role in biophysical processes such as transfer of proteins, antibodies or drug delivery into the cells. Vesicles serve as simplified models of more complex cell membranes, as well as the basis for bio-mimetic engineered systems. Bio-membranes only exist in solution and intimately interact with the surrounding fluid, which owing to the characteristic sizes and velocities, can be modeled with the incompressible Stokes equations. The aim of our work is to simulate the dynamics of the interaction between a bio-membrane and the fluid media surrounding. We take as basis our previous work on bio-membrane simulations [1], in which the solution of the fourth order PDE governing the bending elasticity of a vesicle is tackled with a phase-field or diffuse interface approach. The nonlinear, fourth-order PDE governing the phase field are conveniently solved using the local maximum-entropy (LME) approximants, a type of meshfree shape functions [2]. We merge the phase field model with the Stokes fluid media to treat naturally the coupling between the viscous forces in the fluid, the elastic forces due to the membrane, and the various constraints in the problem. The dynamics arise from a variational principle, and dictate the Lagrangian motion of the particles, convecting the phase field.
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M3 - Conference contribution
AN - SCOPUS:84858959038
SN - 9788489925731
T3 - Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI
SP - 397
EP - 409
BT - Computational Plasticity XI - Fundamentals and Applications, COMPLAS XI
ER -