Journal of Mathematical Biology

, Volume 45, Issue 1, pp 37–56

Curvature effects on membrane-mediated interactions of inclusions

  • Paolo Biscari
  • Fulvio Bisi
  • Riccardo Rosso

DOI: 10.1007/s002850200142

Cite this article as:
Biscari, P., Bisi, F. & Rosso, R. J Math Biol (2002) 45: 37. doi:10.1007/s002850200142

Abstract

 We study the static, long-range interactions of inclusions embedded in lipid membranes. By using a two-dimensional model, we are able to determine explicitly the closed equilibrium shape of the membrane for any value of the distance between the inclusions; our results show that these shapes cannot be obtained by linearizing the equilibrium equations near a referential shape. Moreover, by computing the membrane-mediated force between the inclusions in given static conditions, we also detect the effects on the interactions due to the curvature and the closed geometry of the membrane.

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Paolo Biscari
    • 1
  • Fulvio Bisi
    • 2
  • Riccardo Rosso
    • 3
  1. 1.Dipartimento di Matematica, Politecnico di Milano. Piazza Leonardo da Vinci 32, 20133 Milano, Italy and Istituto Nazionale di Fisica della Materia. Via Ferrata 1, 27100 Pavia, Italy. e-mail: paolo.biscari@polimi.itIT
  2. 2.Dipartimento di Matematica, Politecnico di Milano. Piazza Leonardo da Vinci 32, 20133 Milano, Italy. e-mail: fulvio.bisi@polimi.itIT
  3. 3.Dipartimento di Matematica, Università di Pavia. Via Ferrata 1, 27100 Pavia, Italy and Istituto Nazionale di Fisica della Materia. Via Ferrata 1, 27100 Pavia, Italy. e-mail: rosso@dimat.unipv.itIT

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