### Abstract

Language | English |
---|---|

Pages | 319-326 |

Number of pages | 7 |

Journal | European Physical Journal E - Soft Matter |

Volume | 32 |

Issue number | 3 |

DOIs | |

Publication status | Published - 2010 |

### Fingerprint

### Keywords

- continuum model
- lipid bilayer
- liquid crystals

### Cite this

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*European Physical Journal E - Soft Matter*, vol. 32, no. 3, pp. 319-326. https://doi.org/10.1140/epje/i2010-10615-2

**Nonlinearities in tilt and layer displacements of planar lipid bilayers.** / De Vita, R.; Stewart, I.W.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Nonlinearities in tilt and layer displacements of planar lipid bilayers

AU - De Vita, R.

AU - Stewart, I.W.

PY - 2010

Y1 - 2010

N2 - A novel continuum model is proposed to describe the deformations of a planar lipid bilayer suspended across a circular pore. The model is derived within a new theoretical framework for smectic A liquid crystals in which the usual director n , which defines the average orientation of the molecules, is not constrained to be normal to the layers. The free energy is defined by considering the elastic splay of the director, the bending and compression of the lipid bilayer, the cost of tilting the director with respect to the layer normal, the surface tension, and the weak anchoring of the director. Variational methods are used to derive the equilibrium equations and boundary conditions. The resulting boundary value problem is then solved numerically to compute the fully nonlinear displacement of the layers and tilt of the lipid molecules. A parametric study shows that an increase in surface tension produces a decrease in the deformation of the lipid bilayers while an opposite effect is obtained when increasing the anchoring strength.

AB - A novel continuum model is proposed to describe the deformations of a planar lipid bilayer suspended across a circular pore. The model is derived within a new theoretical framework for smectic A liquid crystals in which the usual director n , which defines the average orientation of the molecules, is not constrained to be normal to the layers. The free energy is defined by considering the elastic splay of the director, the bending and compression of the lipid bilayer, the cost of tilting the director with respect to the layer normal, the surface tension, and the weak anchoring of the director. Variational methods are used to derive the equilibrium equations and boundary conditions. The resulting boundary value problem is then solved numerically to compute the fully nonlinear displacement of the layers and tilt of the lipid molecules. A parametric study shows that an increase in surface tension produces a decrease in the deformation of the lipid bilayers while an opposite effect is obtained when increasing the anchoring strength.

KW - continuum model

KW - lipid bilayer

KW - liquid crystals

UR - http://www.springerlink.com/content/q3w65663996j1171/

U2 - 10.1140/epje/i2010-10615-2

DO - 10.1140/epje/i2010-10615-2

M3 - Article

VL - 32

SP - 319

EP - 326

JO - European Physical Journal E - Soft Matter

T2 - European Physical Journal E - Soft Matter

JF - European Physical Journal E - Soft Matter

SN - 1292-8941

IS - 3

ER -