Document Detail

The indentation of pressurized elastic shells: from polymeric capsules to yeast cells.
MedLine Citation:
PMID:  21831894     Owner:  NLM     Status:  MEDLINE    
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.
Dominic Vella; Amin Ajdari; Ashkan Vaziri; Arezki Boudaoud
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Publication Detail:
Type:  Journal Article; Research Support, Non-U.S. Gov't; Research Support, U.S. Gov't, Non-P.H.S.     Date:  2011-08-10
Journal Detail:
Title:  Journal of the Royal Society, Interface / the Royal Society     Volume:  9     ISSN:  1742-5662     ISO Abbreviation:  J R Soc Interface     Publication Date:  2012 Mar 
Date Detail:
Created Date:  2012-01-25     Completed Date:  2012-05-21     Revised Date:  2013-06-28    
Medline Journal Info:
Nlm Unique ID:  101217269     Medline TA:  J R Soc Interface     Country:  England    
Other Details:
Languages:  eng     Pagination:  448-55     Citation Subset:  IM    
Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK.
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MeSH Terms
Finite Element Analysis*
Materials Testing / methods*
Models, Theoretical*
Reg. No./Substance:

From MEDLINE®/PubMed®, a database of the U.S. National Library of Medicine

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