Results 41 to 50 of about 191,981 (275)

Quantifying epithelial cell proliferation on curved surfaces

Frontiers in Physics, 2022
Out-of-plane curvature is an important, but poorly explored geometric parameter that influences cell behavior. We address the impact of curvature on epithelial proliferation through monitoring how MDCK cells proliferate on planar and curved toroidal ...
Ya-Wen Chang, Ya-Wen Chang, Ricardo Cruz-Acuña, Ricardo Cruz-Acuña, Michael Tennenbaum, Alexandros A. Fragkopoulos, Andrés J. García, Andrés J. García, Alberto Fernández-Nieves, Alberto Fernández-Nieves, Alberto Fernández-Nieves, Alberto Fernández-Nieves   +11 more
doaj   +1 more source

Prescribing Gaussian curvature on S2

Acta Mathematica, 1987
On the standard two sphere S 2 the Gaussian curvature after a conformal change ds \(2=e^{2u}ds\) \(2_ 0\) is determined by the following equation: \[ (1.1)\quad \Delta u+Ke^{2u}=1\quad on\quad S^ 2 \] where \(\Delta\) denotes the Laplacian relative to the standard metric. The question raised by L.
Chang, Sun-yung Alice, Yang, Paul C.
openaire   +2 more sources

Constraints on primordial curvature spectrum from primordial black holes and scalar-induced gravitational waves

European Physical Journal C: Particles and Fields, 2023
The observational data of primordial black holes and scalar-induced gravitational waves can constrain the primordial curvature perturbation at small scales. We parameterize the primordial curvature perturbation by a broken power law form and find that it
Zhu Yi, Qin Fei
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Conchoidal Surfaces in Euclidean 3-space Satisfying $\Delta x_{i}=\lambda _{i}x_{i}$

Universal Journal of Mathematics and Applications, 2023
In this paper, we study the conchodial surfaces in 3-dimensional Euclidean space with the condition $\Delta x_{i}=\lambda _{i}x_{i}$ where $\Delta $ denotes the Laplace operator with respect to the first fundamental form.
Tuğçe Dirim, Betül Bulca Sokur
doaj   +1 more source

Shapes of pored membranes

, 2012
We study the shapes of pored membranes within the framework of the Helfrich theory under the constraints of fixed area and pore size. We show that the mean curvature term leads to a budding- like structure, while the Gaussian curvature term tends to ...
de la Cruz, Monica Olvera, Sknepnek, Rastko, Thomas, Creighton K., Yao, Zhenwei   +3 more
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Developable Surfaces Foliated by General Ellipses in Euclidean Space R³

Mathematics, 2023
In this article, we classify the developable surfaces in three-dimensional Euclidean space R3 that are foliated by general ellipses. We show that the surface has constant Gaussian curvature (CGC) and is foliated by general ellipses if and only if the ...
Ahmad T. Ali
doaj   +1 more source

Non-Gaussian curvature distribution of actin-propelled biomimetric colloid trajectories [PDF]

We analyze the motion of colloids propelled by a comet-like tail of polymerizing actin filaments. The curvature of the particle trajectories deviates strongly from a Gaussian distribution, implying that the underlying microscopic processes are ...
Biesheuvel, P.M., Fery, A., Gucht, J., van der, Helfer, E., Schmidt, S., Weinkamer, R.   +5 more
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Equi-Gaussian curvature folding

Proceedings Mathematical Sciences, 2007
In this paper the authors introduce the notion of equi-Gaussian curvature folding and consider some elementary properties of it.
El-Kholy, E. M., Lashin, El-Said R., Daoud, Salama N.   +2 more
openaire   +2 more sources

A-Net Ruled Surface Which Generated By First Principle Direction Curve In E3

Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2017
In this paper, we give a new parametrization of A- net surface which generated by first principle direction curve Euclidean 3- space . Then, we obtain mean curvature and Gaussian curvature of this surface.
Talat KÖRPINAR, Gülden ALTAY SUROĞLU
doaj   +1 more source

Topological Defects on Fluctuating Surfaces: General Properties and the Kosterlitz-Thouless Transition

, 1995
We investigate the Kosterlitz-Thouless transition for hexatic order on a free fluctuating membrane and derive both a Coulomb gas and a sine-Gordon Hamiltonian to describe it.
A. Polyakov, A. Polyakov, D.J. Amit, D.R. Nelson, D.R. Nelson, D.R. Nelson, D.R. Nelson, E. Guitter, F. David, H.S. Seung, J. A. Aronovitz, J. Jose, J.M. Kosterlitz, J.M. Kosterlitz, Jeong-Man Park, L. Peliti, M. Green, M. Nakahara, M. Paczuski, M. Spivak, P. Canham, P. Chaikin, P. Minnhagen, P. Nelson, P.C. Martin, P.G. de Gennes, T. C. Lubensky, T.C. Lubensky, V. Popov, W. Cai, W. Helfrich, Y. Kantor   +31 more
core   +2 more sources