Dec 1, 2011 · We prove that a small patch of the minority lipids forms at a point of the membrane where the Gauss curvature attains a maximum. This patch has a round shape approximately and its boundary has a constant geodesic curvature. The proof consists of three steps.

In the geodesic multiniosome, the vesicles are tightly packed and in the raspberry structure they are more loosely arranged, held together by an envelope of one or several membranes (c).

Sep 15, 2017 · Here we introduce the geodesic curvature to characterize the geometry of the domain boundary, and develop a geodesic curvature energy model to describe the formation of these microdomains as a result of energy minimization.

Dec 13, 2021 · This transition is driven by the filaments organizing into a stable polar band in which all filaments move in the same direction, resulting in deformations of the vesicle along a geodesic.

Feb 6, 2024 · We characterize the relative positions of the three interacting particles using three parameters: (1) r is defined as the geodesic between two particles, (2) l is defined as the geodesic line from the middle of r to the third particle, and (3) θ is the angle between r and l, schematically depicted in Fig. 1 d. To extract the free energy ...

Jan 2, 2024 · In this work, we use a Ginzburg–Landau type of free energy that recovers the Canham–Helfrich model in the limit of small width-to-vesicle-extension ratio, with the additional ability to...

Jun 1, 2014 · We present the shape equation of lipid vesicles and its special solutions. We show the governing equations of open lipid membranes and a theorem of nonexistence. Three types of theoretical investigations on chiral lipid membranes are introduced.

Sternberg et al (1995) reported the formation of multiple vesicle structures, so called geodesic structures (Figure 1.11b), which are aggregates of small spherical niosomes packed in a...

Feb 27, 2015 · Control the deviation from exact geodesic disk. Determine the radii and locations of droplets. Investigate the role played by the Gauss curvature of M. 1

In a Riemannian manifold or submanifold, geodesics are characterised by the property of having vanishing geodesic curvature. More generally, in the presence of an affine connection, a geodesic is defined to be a curve whose tangent vectors remain parallel if they are transported along it.