The European Physical Journal E

, Volume 26, Issue 3, pp 295–300

Shape optimization in lipid nanotube networks

  • T. Lobovkina
  • P. G. Dommersnes
  • S. Tiourine
  • J. -F. Joanny
  • O. Orwar
Regular Article

DOI: 10.1140/epje/i2007-10325-x

Cite this article as:
Lobovkina, T., Dommersnes, P.G., Tiourine, S. et al. Eur. Phys. J. E (2008) 26: 295. doi:10.1140/epje/i2007-10325-x

Abstract.

Starting from a high surface free-energy state, lipid nanotube networks are capable to self-organize into tree-like structures with particular geometrical features. In this work we analyze the process of self-organization in such networks, and report a strong similarity to the Euclidian Steiner Tree Problem (ESTP). ESTP is a well-known NP-hard optimization problem of finding a network connecting a given set of terminal points on a plane, allowing addition of auxiliary points, with the overall objective to minimize the total network length. The present study shows that aggregate lipid structures self-organize into geometries that correspond to locally optimal solutions to such problems.

PACS.

87.16.D- Membranes, bilayers, and vesicles47.61.-k Micro- and nano-scale flow phenomena

Copyright information

© EDP Sciences, Società Italiana di Fisica and Springer-Verlag 2008

Authors and Affiliations

  • T. Lobovkina
    • 1
  • P. G. Dommersnes
    • 2
  • S. Tiourine
    • 3
  • J. -F. Joanny
    • 4
  • O. Orwar
    • 1
  1. 1.Department of Chemistry and Bioscience, Microtechnology CentreChalmers University of TechnologyGöteborgSweden
  2. 2.MSCUniversité Paris DiderotParisFrance
  3. 3.Odinsgatan 9Jeppesen Systems ABGöteborgSweden
  4. 4.UMR 168Institut CurieParisFrance