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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
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Official URL: https://doi.org/10.1103/PhysRevLett.125.188002
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 | ||||||||||||||||||
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| Subjects: | Q Science > QA Mathematics Q Science > QH Natural history |
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| Divisions: | Faculty of 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: |
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| 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 | ||||||||||||||||||
| RIOXX Funder/Project Grant: |
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