---
_id: '14844'
abstract:
- lang: eng
  text: 'Many cell functions require a concerted effort from multiple membrane proteins,
    for example, for signaling, cell division, and endocytosis. One contribution to
    their successful self-organization stems from the membrane deformations that these
    proteins induce. While the pairwise interaction potential of two membrane-deforming
    spheres has recently been measured, membrane-deformation-induced interactions
    have been predicted to be nonadditive, and hence their collective behavior cannot
    be deduced from this measurement. We here employ a colloidal model system consisting
    of adhesive spheres and giant unilamellar vesicles to test these predictions by
    measuring the interaction potential of the simplest case of three membrane-deforming,
    spherical particles. We quantify their interactions and arrangements and, for
    the first time, experimentally confirm and quantify the nonadditive nature of
    membrane-deformation-induced interactions. We furthermore conclude that there
    exist two favorable configurations on the membrane: (1) a linear and (2) a triangular
    arrangement of the three spheres. Using Monte Carlo simulations, we corroborate
    the experimentally observed energy minima and identify a lowering of the membrane
    deformation as the cause for the observed configurations. The high symmetry of
    the preferred arrangements for three particles suggests that arrangements of many
    membrane-deforming objects might follow simple rules.'
acknowledgement: We gratefully acknowledge useful discussions with Casper van der
  Wel, help by Yogesh Shelke with PAA coverslip preparation, and support by Rachel
  Doherty with particle functionalization. A.A. and D.J.K. would like to thank Timon
  Idema and George Dadunashvili for initial attempts to simulate the experimental
  system. D.J.K. would like to thank the physics department at Leiden University for
  funding the PhD position of A.A. B.M. and A.Š. acknowledge funding by the European
  Union’s Horizon 2020 research and innovation programme (ERC starting grant no. 802960).
article_processing_charge: No
article_type: original
author:
- first_name: Ali
  full_name: Azadbakht, Ali
  last_name: Azadbakht
- first_name: Billie
  full_name: Meadowcroft, Billie
  id: a4725fd6-932b-11ed-81e2-c098c7f37ae1
  last_name: Meadowcroft
  orcid: 0000-0003-3441-1337
- first_name: Juraj
  full_name: Majek, Juraj
  id: 3e6d9473-f38e-11ec-8ae0-c4e05a8aa9e1
  last_name: Majek
- first_name: Anđela
  full_name: Šarić, Anđela
  id: bf63d406-f056-11eb-b41d-f263a6566d8b
  last_name: Šarić
  orcid: 0000-0002-7854-2139
- first_name: Daniela J.
  full_name: Kraft, Daniela J.
  last_name: Kraft
citation:
  ama: Azadbakht A, Meadowcroft B, Majek J, Šarić A, Kraft DJ. Nonadditivity in interactions
    between three membrane-wrapped colloidal spheres. <i>Biophysical Journal</i>.
    doi:<a href="https://doi.org/10.1016/j.bpj.2023.12.020">10.1016/j.bpj.2023.12.020</a>
  apa: Azadbakht, A., Meadowcroft, B., Majek, J., Šarić, A., &#38; Kraft, D. J. (n.d.).
    Nonadditivity in interactions between three membrane-wrapped colloidal spheres.
    <i>Biophysical Journal</i>. Elsevier. <a href="https://doi.org/10.1016/j.bpj.2023.12.020">https://doi.org/10.1016/j.bpj.2023.12.020</a>
  chicago: Azadbakht, Ali, Billie Meadowcroft, Juraj Majek, Anđela Šarić, and Daniela
    J. Kraft. “Nonadditivity in Interactions between Three Membrane-Wrapped Colloidal
    Spheres.” <i>Biophysical Journal</i>. Elsevier, n.d. <a href="https://doi.org/10.1016/j.bpj.2023.12.020">https://doi.org/10.1016/j.bpj.2023.12.020</a>.
  ieee: A. Azadbakht, B. Meadowcroft, J. Majek, A. Šarić, and D. J. Kraft, “Nonadditivity
    in interactions between three membrane-wrapped colloidal spheres,” <i>Biophysical
    Journal</i>. Elsevier.
  ista: Azadbakht A, Meadowcroft B, Majek J, Šarić A, Kraft DJ. Nonadditivity in interactions
    between three membrane-wrapped colloidal spheres. Biophysical Journal.
  mla: Azadbakht, Ali, et al. “Nonadditivity in Interactions between Three Membrane-Wrapped
    Colloidal Spheres.” <i>Biophysical Journal</i>, Elsevier, doi:<a href="https://doi.org/10.1016/j.bpj.2023.12.020">10.1016/j.bpj.2023.12.020</a>.
  short: A. Azadbakht, B. Meadowcroft, J. Majek, A. Šarić, D.J. Kraft, Biophysical
    Journal (n.d.).
date_created: 2024-01-21T23:00:56Z
date_published: 2023-12-29T00:00:00Z
date_updated: 2024-01-23T09:26:35Z
day: '29'
ddc:
- '570'
department:
- _id: AnSa
doi: 10.1016/j.bpj.2023.12.020
ec_funded: 1
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.1016/j.bpj.2023.12.020
month: '12'
oa: 1
oa_version: Published Version
project:
- _id: eba2549b-77a9-11ec-83b8-a81e493eae4e
  call_identifier: H2020
  grant_number: '802960'
  name: 'Non-Equilibrium Protein Assembly: from Building Blocks to Biological Machines'
publication: Biophysical Journal
publication_identifier:
  eissn:
  - 1542-0086
  issn:
  - 0006-3495
publication_status: inpress
publisher: Elsevier
quality_controlled: '1'
scopus_import: '1'
status: public
title: Nonadditivity in interactions between three membrane-wrapped colloidal spheres
tmp:
  image: /images/cc_by_nc_nd.png
  legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode
  name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
    (CC BY-NC-ND 4.0)
  short: CC BY-NC-ND (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
year: '2023'
...
