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Elastic and dynamic properties of membrane phase-field models
Guillermo R Lázaro1, Ignacio Pagonabarraga2,3,4, Aurora Hernández-Machado2,5
1Martin Fisher School of Physics, Brandeis University, 02454, Waltham, MA, USA. grolazaro@gmail.com.
The European Physical Journal. E, Soft Matter
|September 17, 2017
Summary
This study applies phase-field models to biological membranes, connecting Helfrich elasticity theory to derive membrane properties like stress and elastic moduli. The research also analyzes dynamic models for membrane behavior.
Area of Science:
- Computational physics
- Biophysics
- Materials science
Background:
- Phase-field models are widely used for interfacial phenomena, including solidification and vesicle dynamics.
- Biological membranes exhibit complex physical behaviors governed by elasticity.
Purpose of the Study:
- To analyze a phase-field model capturing essential physical features of biological membranes.
- To connect Helfrich's membrane elasticity theory with phase-field modeling.
- To investigate the macroscopic equilibrium and dynamic behavior of membranes.
Main Methods:
- Application of Helfrich theory to phase-field models.
- Derivation of stress tensor, lateral stress profile, and elastic moduli.
- Analysis of the sharp-interface limit.
- Study of two dynamic models and their relaxational behavior.
Main Results:
- Expressions for stress tensor, lateral stress profile, and elastic moduli derived from phase-field models.
- Demonstration that macroscopic membrane equilibrium equations arise from phase-field interface equilibrium.
- Characterization of dynamics for two distinct membrane models.
Conclusions:
- Phase-field models provide a robust framework for understanding biological membrane mechanics.
- The study bridges continuum elasticity theories with phase-field simulations.
- The derived models offer insights into membrane equilibrium and dynamics for various applications.
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