Shape optimization in lipid nanotube networks
Journal article, 2008

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.


Tatsiana Lobovkina

Chalmers, Chemical and Biological Engineering, Physical Chemistry

Paul Gunnar Dommersnes

Paris Diderot University

S. Tiourine

Jeppesen Systems AB

J. F. Joanny

Physico-Chimie Curie

Owe Orwar

Chalmers, Chemical and Biological Engineering, Physical Chemistry

European Physical Journal E

1292-8941 (ISSN) 1292-895X (eISSN)

Vol. 26 3 295-300

Subject Categories

Chemical Sciences



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