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Curvature effects on membrane-mediated interactions of inclusions

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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.

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Authors and Affiliations

  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.it, , , , , , IT

    Paolo Biscari

  2. Dipartimento di Matematica, Politecnico di Milano. Piazza Leonardo da Vinci 32, 20133 Milano, Italy. e-mail: fulvio.bisi@polimi.it, , , , , , IT

    Fulvio Bisi

  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.it, , , , , , IT

    Riccardo Rosso

Authors
  1. Paolo Biscari
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  2. Fulvio Bisi
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  3. Riccardo Rosso
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Additional information

Received: 2 January 2001 / Revised version: 20 December 2001 / Published online: 26 June 2002

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Biscari, P., Bisi, F. & Rosso, R. Curvature effects on membrane-mediated interactions of inclusions. J Math Biol 45, 37–56 (2002). https://doi.org/10.1007/s002850200142

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  • DOI: https://doi.org/10.1007/s002850200142

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