Evidence map›Paper›PMID 21831894›Full record

ArticleJournal of the Royal Society, Interface2012

The indentation of pressurized elastic shells: from polymeric capsules to yeast cells.

Dominic Vella, Amin Ajdari, Ashkan Vaziri, Arezki Boudaoud

Open access · bronzeAbstract read
In one paragraph

Article in Journal of the Royal Society, Interface, 2012. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 38 papers.

0numbers the graph read from it
0cells of the map it votes in
38citing papers in PubMed
16.0field-weighted citation impact, top 1% of its field
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

38 citing papers in PubMed, 144 citations in OpenAlex.

  1. Article
  2. Force spectroscopy reveals membrane fluctuations and surface adhesion of extracellular nanovesicles impact their elastic behavior.Proceedings of the National Academy of Sciences of the United States of America · 2025
    Article
  3. Article
  4. Article
  5. Review
  6. Review
  7. Article
  8. The role of the cortex in indentation experiments of animal cells.Biomechanics and modeling in mechanobiology · 2023
    Article
  9. Bending stiffness ofLab on a chip · 2022
    Article
  10. Article
  11. Article
  12. Compression of a pressurized spherical shell by a spherical or flat probe.The European physical journal. E, Soft matter · 2022
    Article
  13. Article
  14. Validity of Winkler's mattress model for thin elastomeric layers: beyond Poisson's ratio.Proceedings. Mathematical, physical, and engineering sciences · 2020
    Article
  15. Article
  16. Article
  17. Article
  18. Viral nanomechanics with a virtual atomic force microscope.Journal of physics. Condensed matter : an Institute of Physics journal · 2018
    Article
  19. Finite indentation of highly curved elastic shells.Proceedings. Mathematical, physical, and engineering sciences · 2018
    Article
  20. Article
4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors at 3 institutions in 4 countries.

Dominic VellaDepartment of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK. dominic.vella@maths.ox.ac.uk
Amin Ajdari
Ashkan Vaziri
Arezki Boudaoud
Northeastern University · USÉcole Normale Supérieure de Lyon · FRUniversity of Cambridge · GB

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Pressurized elastic capsules arise at scales ranging from the 10 m diameter pressure vessels used to store propane at oil refineries to the microscopic polymeric capsules that may be used in drug delivery. Nature also makes extensive use of pressurized elastic capsules: plant cells, bacteria and fungi have stiff walls, which are subject to an internal turgor pressure. Here, we present theoretical, numerical and experimental investigations of the indentation of a linearly elastic shell subject to a constant internal pressure. We show that, unlike unpressurized shells, the relationship between force and displacement demonstrates two linear regimes. We determine analytical expressions for the effective stiffness in each of these regimes in terms of the material properties of the shell and the pressure difference. As a consequence, a single indentation experiment over a range of displacements may be used as a simple assay to determine both the internal pressure and elastic properties of capsules. Our results are relevant for determining the internal pressure in bacterial, fungal or plant cells. As an illustration of this, we apply our results to recent measurements of the stiffness of baker's yeast and infer from these experiments that the internal osmotic pressure of yeast cells may be regulated in response to changes in the osmotic pressure of the external medium.

Indexed as

CapsulesCellsElasticityFinite Element AnalysisModels, TheoreticalPressureBiophysicsMaterials TestingCapsules

Identifiers

PMID21831894
PMCPMC3262421
OpenAlexW2145779572

What OpenQuestion holds

Textmetadata
Read underepoch 390

Registered trials

None linked

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.