The indentation of pressurized elastic shells: From polymeric capsules to yeast cells
| Autor: | Amin Ajdari, Dominic Vella, Arezki Boudaoud, Ashkan Vaziri |
|---|---|
| Přispěvatelé: | University of Cambridge [UK] (CAM), University of Oxford [Oxford], Dept Mech & Ind Engn, University of Toronto, Reproduction et développement des plantes (RDP), Centre National de la Recherche Scientifique (CNRS)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de la Recherche Agronomique (INRA)-École normale supérieure - Lyon (ENS Lyon), Oppenheimer Early Career Fellowship, King Abdullah University of Science and Technology (KAUST) [KUK-C1-013-04], NSF CMMI [1065759], ANR-BLANC-Mechastem, University of Oxford, École normale supérieure de Lyon (ENS de Lyon)-Institut National de la Recherche Agronomique (INRA)-Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Centre National de la Recherche Scientifique (CNRS) |
| Rok vydání: | 2016 |
| Předmět: |
Materials science
Cells [SDV]Life Sciences [q-bio] Finite Element Analysis Turgor pressure education Biomedical Engineering Biophysics Capsules Bioengineering 02 engineering and technology turgor regulation Biochemistry Biomaterials SACCHAROMYCES-CEREVISIAE 03 medical and health sciences Indentation Materials Testing Pressure medicine Osmotic pressure [SDV.BV]Life Sciences [q-bio]/Vegetal Biology buckling Composite material Research Articles 030304 developmental biology ATOMIC-FORCE MICROSCOPY 0303 health sciences Internal pressure Stiffness WALL Models Theoretical 021001 nanoscience & nanotechnology Elasticity Pressure vessel Buckling finite-element method cell wall GROWTH medicine.symptom 0210 nano-technology Material properties Biotechnology |
| Zdroj: | Journal of the Royal Society Interface Journal of the Royal Society Interface, the Royal Society, 2012, 9 (68), pp.448-455. ⟨10.1098/rsif.2011.0352⟩ Journal of the Royal Society Interface, 2012, 9 (68), pp.448-455. ⟨10.1098/rsif.2011.0352⟩ |
| ISSN: | 1742-5689 1742-5662 |
| DOI: | 10.1098/rsif.2011.0352⟩ |
| Popis: | International audience; 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. |
| Databáze: | OpenAIRE |
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