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 D Rueda-Contreras +4 more
semanticscholar +7 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 +2 more
semanticscholar +8 more sources
Gaussian curvature dilutes the nuclear lamina, favoring nuclear rupture, especially at high strain rate [PDF]
Nucleus, 2021 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.
C. R. Pfeifer +8 more
semanticscholar +4 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. However, controlling the features of shapes is difficult and depends on the experience
Akihiro Okano, T. Matsumoto, Takeo Kato
semanticscholar +4 more sources
Gaussian curvature–driven direction of cell fate toward osteogenesis with triply periodic minimal surface scaffolds [PDF]
Proc Natl Acad Sci U S A, 2022 Significance This article reports an exciting breakthrough in the translation of the biomimicking hyperboloidal structure into three-dimensional tissue-engineered bone grafts and reveals how the nature-derived hyperboloid structure affects osteogenesis ...
Yuhe Yang +10 more
semanticscholar +2 more sources
Universally bistable shells with nonzero Gaussian curvature for two-way transition waves [PDF]
Nat Commun, 2021 Multi-welled energy landscapes arising in shells with nonzero Gaussian curvature typically fade away as their thickness becomes larger because of the increased bending energy required for inversion.
Nikolaos Vasios +3 more
semanticscholar +2 more sources
Reconfiguring Gaussian Curvature of Hydrogel Sheets with Photoswitchable Host–Guest Interactions [PDF]
ACS Macro Lett, 2020 Photoinduced shape morphing has implications in fields ranging from soft robotics to biomedical devices. Despite considerable effort in this area, it remains a challenge to design materials that can be both rapidly deployed and reconfigured into multiple
Alexa S. Kuenstler +5 more
semanticscholar +2 more sources
Primordial black hole formation with non-Gaussian curvature perturbations [PDF]
Journal of Cosmology and Astroparticle Physics, 2019 In the context of transient constant-roll inflation near a local maximum, we derive the non-perturbative field redefinition that relates a Gaussian random field with the true non-Gaussian curvature perturbation.
Vicente Atal +2 more
semanticscholar +5 more sources
Discrete Gaussian Curvature Flow for Piecewise Constant Gaussian Curvature Surface
Computer-Aided Design, 2021 Abstract A method is presented for generating a discrete piecewise constant Gaussian curvature (CGC) surface. An energy functional is first formulated so that its stationary point is the linear Weingarten (LW) surface, which has a property such that the weighted sum of mean and Gaussian curvatures is constant.
Kazuki Hayashi +4 more
semanticscholar +2 more sources
Shape programming lines of concentrated Gaussian curvature [PDF]
Journal of Applied Physics, 2021 Liquid crystal elastomers (LCEs) can undergo large reversible contractions along their nematic director upon heating or illumination. A spatially patterned director within a flat LCE sheet thus encodes a pattern of contraction on heating, which can morph
D. Duffy +9 more
semanticscholar +5 more sources