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Measuring gaussian rigidity using curved substrates

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Fonda, Piermarco, Al-Izzi, Sami C., Giomi, Luca and Turner, Matthew S. (2020) Measuring gaussian rigidity using curved substrates. Physical Review Letters, 125 (18). 188002. doi:10.1103/PhysRevLett.125.188002 ISSN 0031-9007.

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Official URL: https://doi.org/10.1103/PhysRevLett.125.188002

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Abstract

The Gaussian (saddle splay) rigidity of fluid membranes controls their equilibrium topology but is notoriously difficult to measure. In lipid mixtures, typical of living cells, linear interfaces separate liquid ordered (LO) from liquid disordered (LD) bilayer phases at subcritical temperatures. Here, we consider such membranes supported by curved substrates that thereby control the membrane curvatures. We show how spectral analysis of the fluctuations of the LO-LD interface provides a novel way of measuring the difference in Gaussian rigidity between the two phases. We provide a number of conditions for such interface fluctuations to be both experimentally measurable and sufficiently sensitive to the value of the Gaussian rigidity, while remaining in the perturbative regime of our analysis.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history
Divisions: Faculty of Science, Engineering and Medicine > Science > Physics
SWORD Depositor: Library Publications Router
Library of Congress Subject Headings (LCSH): Gaussian measures, Membranes (Biology) -- Fluidity, Bilayer lipid membranes
Journal or Publication Title: Physical Review Letters
Publisher: American Physical Society
ISSN: 0031-9007
Official Date: October 2020
Dates:
DateEvent
October 2020Published
28 October 2020Available
2 October 2020Accepted
Volume: 125
Number: 18
Article Number: 188002
DOI: 10.1103/PhysRevLett.125.188002
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access (Creative Commons)
Date of first compliant deposit: 19 November 2021
Date of first compliant Open Access: 19 November 2021
RIOXX Funder/Project Grant:
Project/Grant IDRIOXX Funder NameFunder ID
VIDI grant scheme[NWO] Nederlandse Organisatie voor Wetenschappelijk Onderzoekhttp://dx.doi.org/10.13039/501100003246
EP/L015374/1[EPSRC] Engineering and Physical Sciences Research Councilhttp://dx.doi.org/10.13039/501100000266
ANR-11-LABX-0038Labexhttp://dx.doi.org/10.13039/501100004100
ANR-10- IDEX-0001-02Labexhttp://dx.doi.org/10.13039/501100004100
UNSPECIFIED[JSPS] Japan Society for the Promotion of Sciencehttp://dx.doi.org/10.13039/501100001691
Is Part Of: 1

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