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On the Gaussian modulus of lipid membranes.

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Title: On the Gaussian modulus of lipid membranes.
Authors: Agrawal, Ashutosh1 (AUTHOR) ashutosh@uh.edu
Source: Biomechanics & Modeling in Mechanobiology. Apr2025, Vol. 24 Issue 2, p553-557. 5p.
Subjects: Gauss-Bonnet theorem, Flexural modulus, Gaussian curvature, Membrane lipids, Paper arts
Abstract: The Gaussian modulus is a crucial property that influences topological transformations in lipid membranes. However, unlike the bending modulus, estimating the Gaussian modulus has been particularly challenging due to the constraints imposed by the Gauss-Bonnet theorem. Despite this, various theoretical, computational, and experimental approaches have been developed to estimate the Gaussian modulus, though they are often complex, and analytical estimates remain rare. In this work, we present a minimalist model inspired by the folding of a sheet of paper, which provides an exact calculation of the Gaussian modulus. Remarkably, the induced deformation does not affect the Gaussian curvature or alter the system's topology, yet it yields the modulus that governs these geometric properties. [ABSTRACT FROM AUTHOR]
Copyright of Biomechanics & Modeling in Mechanobiology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: On the Gaussian modulus of lipid membranes.
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  Data: <searchLink fieldCode="AR" term="%22Agrawal%2C+Ashutosh%22">Agrawal, Ashutosh</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> ashutosh@uh.edu</i>
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  Data: <searchLink fieldCode="DE" term="%22Gauss-Bonnet+theorem%22">Gauss-Bonnet theorem</searchLink><br /><searchLink fieldCode="DE" term="%22Flexural+modulus%22">Flexural modulus</searchLink><br /><searchLink fieldCode="DE" term="%22Gaussian+curvature%22">Gaussian curvature</searchLink><br /><searchLink fieldCode="DE" term="%22Membrane+lipids%22">Membrane lipids</searchLink><br /><searchLink fieldCode="DE" term="%22Paper+arts%22">Paper arts</searchLink>
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  Data: The Gaussian modulus is a crucial property that influences topological transformations in lipid membranes. However, unlike the bending modulus, estimating the Gaussian modulus has been particularly challenging due to the constraints imposed by the Gauss-Bonnet theorem. Despite this, various theoretical, computational, and experimental approaches have been developed to estimate the Gaussian modulus, though they are often complex, and analytical estimates remain rare. In this work, we present a minimalist model inspired by the folding of a sheet of paper, which provides an exact calculation of the Gaussian modulus. Remarkably, the induced deformation does not affect the Gaussian curvature or alter the system's topology, yet it yields the modulus that governs these geometric properties. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Biomechanics & Modeling in Mechanobiology is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s10237-025-01925-y
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      – Code: eng
        Text: English
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        PageCount: 5
        StartPage: 553
    Subjects:
      – SubjectFull: Gauss-Bonnet theorem
        Type: general
      – SubjectFull: Flexural modulus
        Type: general
      – SubjectFull: Gaussian curvature
        Type: general
      – SubjectFull: Membrane lipids
        Type: general
      – SubjectFull: Paper arts
        Type: general
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      – TitleFull: On the Gaussian modulus of lipid membranes.
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            – D: 01
              M: 04
              Text: Apr2025
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              Y: 2025
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