On the Gaussian modulus of lipid membranes.

IF 3 3区医学 Q2 BIOPHYSICS

Biomechanics and Modeling in Mechanobiology Pub Date : 2025-01-15 DOI:10.1007/s10237-025-01925-y

Ashutosh Agrawal

引用次数: 0

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.

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脂质膜的高斯模量。

高斯模量是影响脂膜拓扑结构变化的一个重要特性。然而，与弯曲模量不同，由于高斯-波内定理的限制，估算高斯模量尤其具有挑战性。尽管如此，人们还是开发出了各种理论、计算和实验方法来估算高斯模量，不过这些方法通常都很复杂，而且分析估算仍然很少见。在这项工作中，我们提出了一个受纸张折叠启发的简约模型，它提供了高斯模量的精确计算。值得注意的是，诱导变形不会影响高斯曲率，也不会改变系统的拓扑结构，但却能得到支配这些几何特性的模量。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Biomechanics and Modeling in Mechanobiology 工程技术-工程：生物医学

CiteScore

7.10

自引率

8.60%

发文量

119

审稿时长

6 months

期刊介绍： Mechanics regulates biological processes at the molecular, cellular, tissue, organ, and organism levels. A goal of this journal is to promote basic and applied research that integrates the expanding knowledge-bases in the allied fields of biomechanics and mechanobiology. Approaches may be experimental, theoretical, or computational; they may address phenomena at the nano, micro, or macrolevels. Of particular interest are investigations that (1) quantify the mechanical environment in which cells and matrix function in health, disease, or injury, (2) identify and quantify mechanosensitive responses and their mechanisms, (3) detail inter-relations between mechanics and biological processes such as growth, remodeling, adaptation, and repair, and (4) report discoveries that advance therapeutic and diagnostic procedures. Especially encouraged are analytical and computational models based on solid mechanics, fluid mechanics, or thermomechanics, and their interactions; also encouraged are reports of new experimental methods that expand measurement capabilities and new mathematical methods that facilitate analysis.