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On Gaussian curvature and membrane fission [PDF]

Scientific Reports, 2021
We propose a three-dimensional mathematical model to describe dynamical processes of membrane fission. The model is based on a phase field equation that includes the Gaussian curvature contribution to the bending energy. With the addition of the Gaussian
Mara Denisse Rueda-Contreras, Andreu F. Gallen, J. Roberto Romero-Arias, Aurora Hernandez-Machado, Rafael A. Barrio   +4 more
doaj   +2 more sources

Gaussian Curvature Effects on Graphene Quantum Dots [PDF]

Nanomaterials, 2022
In the last few years, much attention has been paid to the exotic properties that graphene nanostructures exhibit, especially those emerging upon deforming the material.
Sergio de-la-Huerta-Sainz, Angel Ballesteros, Nicolás A. Cordero   +2 more
doaj   +2 more sources

Gaussian curvature dilutes the nuclear lamina, favoring nuclear rupture, especially at high strain rate [PDF]

Nucleus, 2022
Nuclear rupture has long been associated with deficits or defects in lamins, with recent results also indicating a role for actomyosin stress, but key physical determinants of rupture remain unclear.
Charlotte R. Pfeifer, Michael P. Tobin, Sangkyun Cho, Manasvita Vashisth, Lawrence J. Dooling, Lizeth Lopez Vazquez, Emma G. Ricci-De Lucca, Keiann T. Simon, Dennis E. Discher   +8 more
doaj   +2 more sources

Gaussian Curvature Entropy for Curved Surface Shape Generation [PDF]

Entropy, 2020
The overall shape features that emerge from combinations of shape elements, such as “complexity” and “order”, are important in designing shapes of industrial products.
Akihiro Okano, Taishi Matsumoto, Takeo Kato   +2 more
doaj   +2 more sources

Gaussian Curvature Directs Stress Fiber Orientation and Cell Migration. [PDF]

Biophys J, 2018
Bade ND, Xu T, Kamien RD, Assoian RK, Stebe KJ.   +4 more
europepmc   +3 more sources

Generalized Gaussian curvature flows related to the Orlicz Gaussian Minkowski problem

Advanced Nonlinear Studies
In this paper, we investigate two anisotropic Gaussian curvature flows. Through establishing the long-time existence and congergence for these two flows, we derive the existence results for the Orlicz-Gaussian Minkowski problem in both origin-symmetric ...
Liu Yannan, Peng Yuxin
doaj   +2 more sources

Offset Ruled Surface in Euclidean Space with Density

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2021
In this paper, offset ruled surfaces in these spaces are defined by using the geometry of ruled surfaces in Euclidean space with density. The mean curvature and Gaussian curvature of these surfaces are studied.
Ulucan Neslihan, Akyigit Mahmut
doaj   +1 more source

Measurement point layout strategy of free-form surface based on gridding using coordinate measuring machine

International Journal of Metrology and Quality Engineering, 2023
The layout of measurement points is the key to the efficient inspection of free-form surfaces. Two algorithms are proposed for the layout of free-form surface measurement points: the free-form surface Gaussian curvature variation grid method and the ...
Zeng Linan, Chen Yueping
doaj   +1 more source

Bianchi transformation of the pseudosphere

Дифференциальная геометрия многообразий фигур, 2023
The work is devoted to the study of the Bianchi transform for surfa­ces of constant negative Gaussian curvature. The surfaces of rotation of cons­tant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere (Beltrami surface).
M. A. Cheshkova
doaj   +1 more source

Transformation of Bianchi for Minding Top

Дифференциальная геометрия многообразий фигур, 2021
The work is devoted to the study of the Bianchi transform for surfac­es of revolution of constant negative Gaussian curvature. The surfaces of rotation of constant negative Gaussian curvature are the Minding top, the Minding coil, the pseudosphere ...
M.A. Cheshkova
doaj   +1 more source