---
_id: '12710'
abstract:
- lang: eng
  text: Surface curvature both emerges from, and influences the behavior of, living
    objects at length scales ranging from cell membranes to single cells to tissues
    and organs. The relevance of surface curvature in biology is supported by numerous
    experimental and theoretical investigations in recent years. In this review, first,
    a brief introduction to the key ideas of surface curvature in the context of biological
    systems is given and the challenges that arise when measuring surface curvature
    are discussed. Giving an overview of the emergence of curvature in biological
    systems, its significance at different length scales becomes apparent. On the
    other hand, summarizing current findings also shows that both single cells and
    entire cell sheets, tissues or organisms respond to curvature by modulating their
    shape and their migration behavior. Finally, the interplay between the distribution
    of morphogens or micro-organisms and the emergence of curvature across length
    scales is addressed with examples demonstrating these key mechanistic principles
    of morphogenesis. Overall, this review highlights that curved interfaces are not
    merely a passive by-product of the chemical, biological, and mechanical processes
    but that curvature acts also as a signal that co-determines these processes.
acknowledgement: B.S. and A.R. contributed equally to this work. A.P.G.C. and P.R.F.
  acknowledge the funding from Fundação para a Ciência e Tecnologia (Portugal), through
  IDMEC, under LAETA project UIDB/50022/2020. T.H.V.P. acknowledges the funding from
  Fundação para a Ciência e Tecnologia (Portugal), through Ph.D. Grant 2020.04417.BD.
  A.S. acknowledges that this work was partially supported by the ATTRACT Investigator
  Grant (no. A17/MS/11572821/MBRACE, to A.S.) from the Luxembourg National Research
  Fund. The author thanks Gerardo Ceada for his help in the graphical representations.
  N.A.K. acknowledges support from the European Research Council (grant 851960) and
  the Gravitation Program “Materials Driven Regeneration,” funded by the Netherlands
  Organization for Scientific Research (024.003.013). M.B.A. acknowledges support
  from the French National Research Agency (grant ANR-201-8-CE1-3-0008 for the project
  “Epimorph”). G.E.S.T. acknowledges funding by the Australian Research Council through
  project DP200102593. A.C. acknowledges the funding from the Deutsche Forschungsgemeinschaft
  (DFG) Emmy Noether Grant CI 203/-2 1, the Spanish Ministry of Science and Innovation
  (PID2021-123013O-BI00) and the IKERBASQUE Basque Foundation for Science.
article_number: '2206110'
article_processing_charge: No
article_type: review
author:
- first_name: Barbara
  full_name: Schamberger, Barbara
  last_name: Schamberger
- first_name: Ricardo
  full_name: Ziege, Ricardo
  last_name: Ziege
- first_name: Karine
  full_name: Anselme, Karine
  last_name: Anselme
- first_name: Martine
  full_name: Ben Amar, Martine
  last_name: Ben Amar
- first_name: Michał
  full_name: Bykowski, Michał
  last_name: Bykowski
- first_name: André P.G.
  full_name: Castro, André P.G.
  last_name: Castro
- first_name: Amaia
  full_name: Cipitria, Amaia
  last_name: Cipitria
- first_name: Rhoslyn A.
  full_name: Coles, Rhoslyn A.
  last_name: Coles
- first_name: Rumiana
  full_name: Dimova, Rumiana
  last_name: Dimova
- first_name: Michaela
  full_name: Eder, Michaela
  last_name: Eder
- first_name: Sebastian
  full_name: Ehrig, Sebastian
  last_name: Ehrig
- first_name: Luis M.
  full_name: Escudero, Luis M.
  last_name: Escudero
- first_name: Myfanwy E.
  full_name: Evans, Myfanwy E.
  last_name: Evans
- first_name: Paulo R.
  full_name: Fernandes, Paulo R.
  last_name: Fernandes
- first_name: Peter
  full_name: Fratzl, Peter
  last_name: Fratzl
- first_name: Liesbet
  full_name: Geris, Liesbet
  last_name: Geris
- first_name: Notburga
  full_name: Gierlinger, Notburga
  last_name: Gierlinger
- first_name: Edouard B
  full_name: Hannezo, Edouard B
  id: 3A9DB764-F248-11E8-B48F-1D18A9856A87
  last_name: Hannezo
  orcid: 0000-0001-6005-1561
- first_name: Aleš
  full_name: Iglič, Aleš
  last_name: Iglič
- first_name: Jacob J.K.
  full_name: Kirkensgaard, Jacob J.K.
  last_name: Kirkensgaard
- first_name: Philip
  full_name: Kollmannsberger, Philip
  last_name: Kollmannsberger
- first_name: Łucja
  full_name: Kowalewska, Łucja
  last_name: Kowalewska
- first_name: Nicholas A.
  full_name: Kurniawan, Nicholas A.
  last_name: Kurniawan
- first_name: Ioannis
  full_name: Papantoniou, Ioannis
  last_name: Papantoniou
- first_name: Laurent
  full_name: Pieuchot, Laurent
  last_name: Pieuchot
- first_name: Tiago H.V.
  full_name: Pires, Tiago H.V.
  last_name: Pires
- first_name: Lars D.
  full_name: Renner, Lars D.
  last_name: Renner
- first_name: Andrew O.
  full_name: Sageman-Furnas, Andrew O.
  last_name: Sageman-Furnas
- first_name: Gerd E.
  full_name: Schröder-Turk, Gerd E.
  last_name: Schröder-Turk
- first_name: Anupam
  full_name: Sengupta, Anupam
  last_name: Sengupta
- first_name: Vikas R.
  full_name: Sharma, Vikas R.
  last_name: Sharma
- first_name: Antonio
  full_name: Tagua, Antonio
  last_name: Tagua
- first_name: Caterina
  full_name: Tomba, Caterina
  last_name: Tomba
- first_name: Xavier
  full_name: Trepat, Xavier
  last_name: Trepat
- first_name: Sarah L.
  full_name: Waters, Sarah L.
  last_name: Waters
- first_name: Edwina F.
  full_name: Yeo, Edwina F.
  last_name: Yeo
- first_name: Andreas
  full_name: Roschger, Andreas
  last_name: Roschger
- first_name: Cécile M.
  full_name: Bidan, Cécile M.
  last_name: Bidan
- first_name: John W.C.
  full_name: Dunlop, John W.C.
  last_name: Dunlop
citation:
  ama: 'Schamberger B, Ziege R, Anselme K, et al. Curvature in biological systems:
    Its quantification, emergence, and implications across the scales. <i>Advanced
    Materials</i>. 2023;35(13). doi:<a href="https://doi.org/10.1002/adma.202206110">10.1002/adma.202206110</a>'
  apa: 'Schamberger, B., Ziege, R., Anselme, K., Ben Amar, M., Bykowski, M., Castro,
    A. P. G., … Dunlop, J. W. C. (2023). Curvature in biological systems: Its quantification,
    emergence, and implications across the scales. <i>Advanced Materials</i>. Wiley.
    <a href="https://doi.org/10.1002/adma.202206110">https://doi.org/10.1002/adma.202206110</a>'
  chicago: 'Schamberger, Barbara, Ricardo Ziege, Karine Anselme, Martine Ben Amar,
    Michał Bykowski, André P.G. Castro, Amaia Cipitria, et al. “Curvature in Biological
    Systems: Its Quantification, Emergence, and Implications across the Scales.” <i>Advanced
    Materials</i>. Wiley, 2023. <a href="https://doi.org/10.1002/adma.202206110">https://doi.org/10.1002/adma.202206110</a>.'
  ieee: 'B. Schamberger <i>et al.</i>, “Curvature in biological systems: Its quantification,
    emergence, and implications across the scales,” <i>Advanced Materials</i>, vol.
    35, no. 13. Wiley, 2023.'
  ista: 'Schamberger B, Ziege R, Anselme K, Ben Amar M, Bykowski M, Castro APG, Cipitria
    A, Coles RA, Dimova R, Eder M, Ehrig S, Escudero LM, Evans ME, Fernandes PR, Fratzl
    P, Geris L, Gierlinger N, Hannezo EB, Iglič A, Kirkensgaard JJK, Kollmannsberger
    P, Kowalewska Ł, Kurniawan NA, Papantoniou I, Pieuchot L, Pires THV, Renner LD,
    Sageman-Furnas AO, Schröder-Turk GE, Sengupta A, Sharma VR, Tagua A, Tomba C,
    Trepat X, Waters SL, Yeo EF, Roschger A, Bidan CM, Dunlop JWC. 2023. Curvature
    in biological systems: Its quantification, emergence, and implications across
    the scales. Advanced Materials. 35(13), 2206110.'
  mla: 'Schamberger, Barbara, et al. “Curvature in Biological Systems: Its Quantification,
    Emergence, and Implications across the Scales.” <i>Advanced Materials</i>, vol.
    35, no. 13, 2206110, Wiley, 2023, doi:<a href="https://doi.org/10.1002/adma.202206110">10.1002/adma.202206110</a>.'
  short: B. Schamberger, R. Ziege, K. Anselme, M. Ben Amar, M. Bykowski, A.P.G. Castro,
    A. Cipitria, R.A. Coles, R. Dimova, M. Eder, S. Ehrig, L.M. Escudero, M.E. Evans,
    P.R. Fernandes, P. Fratzl, L. Geris, N. Gierlinger, E.B. Hannezo, A. Iglič, J.J.K.
    Kirkensgaard, P. Kollmannsberger, Ł. Kowalewska, N.A. Kurniawan, I. Papantoniou,
    L. Pieuchot, T.H.V. Pires, L.D. Renner, A.O. Sageman-Furnas, G.E. Schröder-Turk,
    A. Sengupta, V.R. Sharma, A. Tagua, C. Tomba, X. Trepat, S.L. Waters, E.F. Yeo,
    A. Roschger, C.M. Bidan, J.W.C. Dunlop, Advanced Materials 35 (2023).
date_created: 2023-03-05T23:01:06Z
date_published: 2023-03-29T00:00:00Z
date_updated: 2023-09-26T10:56:46Z
day: '29'
ddc:
- '570'
department:
- _id: EdHa
doi: 10.1002/adma.202206110
external_id:
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  - '000941068900001'
  pmid:
  - '36461812'
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intvolume: '        35'
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month: '03'
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oa_version: Published Version
pmid: 1
publication: Advanced Materials
publication_identifier:
  eissn:
  - 1521-4095
  issn:
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publication_status: published
publisher: Wiley
quality_controlled: '1'
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title: 'Curvature in biological systems: Its quantification, emergence, and implications
  across the scales'
tmp:
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type: journal_article
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