Journal of Mathematical Biology

, Volume 45, Issue 1, pp 37-56

Curvature effects on membrane-mediated interactions of inclusions

  • Paolo BiscariAffiliated withDipartimento 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.it
  • , Fulvio BisiAffiliated withDipartimento di Matematica, Politecnico di Milano. Piazza Leonardo da Vinci 32, 20133 Milano, Italy. e-mail: fulvio.bisi@polimi.it
  • , Riccardo RossoAffiliated withDipartimento 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.it

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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.