scholarly journals A theoretical morphological model for quantitative description of the three-dimensional floral morphology in water lily (Nymphaea)

PLoS ONE ◽  
2020 ◽  
Vol 15 (10) ◽  
pp. e0239781
Author(s):  
Shiryu Kirie ◽  
Hideo Iwasaki ◽  
Koji Noshita ◽  
Hiroyoshi Iwata
Keyword(s):  
Floral Morphology ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Water Lily ◽  
Morphological Model

The Simulation and Modelling of the Crack Path of Biomaterials

2011 ◽  
Vol 465 ◽  
pp. 141-144
Author(s):  
Sebastian Stach
Keyword(s):  
Fracture Surface ◽  
Spanning Tree ◽  
Crack Path ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Minimal Spanning Tree ◽  
Simulation And Modelling ◽  
Metallic Biomaterial ◽  
Cracking Process

Analysis of issues related to the cracking process of materials requires a quantitative description of the problem which frequently, due to its complexity, is difficult or impossible to solve. In a number of cases, the deficiencies of a quantitative description made using classical methods are compensated for by such unconventional tools as percolation, which requires creating an appropriate model. The aim of the study was to use a three-dimensional minimal spanning tree (3DMST) to create a model of the crack path, based on an example of a metallic biomaterial. For this purpose, a stereometric file, obtained as a result of measuring its fracture surface, was applied.

scholarly journals CORRELATIONS WEAK AND STRONG: DIVERS GUISES OF THE TWO-DIMENSIONAL ELECTRON GAS

1999 ◽  
Vol 13 (05n06) ◽  
pp. 447-459
Author(s):  
A. H. MACDONALD
Keyword(s):  
Quantum Wells ◽  
Electron Gas ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Electronic Systems ◽  
Strongly Correlated ◽  
Dimensional Electron ◽  
Many Body ◽  
Many Body Theory ◽  
Dimensional Electron Gas

The three-dimensional electron-gas model has been a major focus for many-body theory applied to the electronic properties of metals and semiconductors. Because the model neglects band effects, whereas electronic systems are generally more strongly correlated in narrow band systems, it is most widely used to describe the qualitative physics of weakly correlated metals with unambiguous Fermi liquid properties. The model is more interesting in two space dimensions because it provides a quantitative description of electrons in quantum wells and because these can form strongly correlated many-particle states. We illustrate the range of possible many-particle behaviors by discussing the way correlations are manifested in 2D tunneling spectroscopy experiments.

Orientation-guided two-scale approach for the segmentation and quantitative description of woven bundles of fibers from three-dimensional tomographic images

2015 ◽  
Vol 24 (6) ◽  
pp. 061113 ◽  
Author(s):  
Cédric Chapoullié ◽  
Jean-Pierre Da Costa ◽  
Michel Cataldi ◽  
Gérard L. Vignoles ◽  
Christian Germain
Keyword(s):  
Quantitative Description ◽  
Three Dimensional ◽  
Tomographic Images

scholarly journals Geometric convergence results for closed minimal surfaces via bubbling analysis

2021 ◽  
Vol 61 (1) ◽  
Author(s):  
Lucas Ambrozio ◽  
Reto Buzano ◽  
Alessandro Carlotto ◽  
Ben Sharp
Keyword(s):  
Minimal Surfaces ◽  
Sharp Estimate ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Dimensional Sphere ◽  
Global Character ◽  
Multiplicity One ◽  
Convergence Results ◽  
Geometric Convergence ◽  
Number Of Ends

AbstractWe present some geometric applications, of global character, of the bubbling analysis developed by Buzano and Sharp for closed minimal surfaces, obtaining smooth multiplicity one convergence results under upper bounds on the Morse index and suitable lower bounds on either the genus or the area. For instance, we show that given any Riemannian metric of positive scalar curvature on the three-dimensional sphere the class of embedded minimal surfaces of index one and genus $$\gamma $$ γ is sequentially compact for any $$\gamma \ge 1$$ γ ≥ 1 . Furthemore, we give a quantitative description of how the genus drops as a sequence of minimal surfaces converges smoothly, with mutiplicity $$m\ge 1$$ m ≥ 1 , away from finitely many points where curvature concentration may happen. This result exploits a sharp estimate on the multiplicity of convergence in terms of the number of ends of the bubbles that appear in the process.

Halide Ion Micro-Hydration: Structure, Energetics, and Spectroscopy of Small Halide–Water Clusters

2019 ◽  
Author(s):  
Pushp Bajaj ◽  
Marc Riera ◽  
Jason K. Lin ◽  
Yaira E. Mendoza Montijo ◽  
Jessica Gazca ◽  
...  
Keyword(s):  
Water Clusters ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Many Body ◽  
Ion Hydration ◽  
Potential Energy Functions ◽  
Hydrogen Bond Networks ◽  
Correct Representation ◽  
Dynamics Simulations ◽  
Body Potential

<div> <div> <div> <p>Replica exchange molecular dynamics simulations and vibrational spectroscopy calculations are performed using halide-water many-body potential energy functions to provide a bottom-up analysis of the structures, energetics, and hydrogen-bonding arrangements in X−(H2O)n=3−6 clusters, with X = F, Cl, Br, and I. Independently of the cluster size, it is found that all four halides prefer surface-type structures in which they occupy one of the vertices in the underlying three-dimensional hydrogen-bond networks. For fluoride-water clusters, this is in contrast with previous reports suggesting that fluoride prefers interior-type arrangements, where the ion is fully hydrated. These differences can be ascribed to the variability in how various molecular models are capable to reproduce the subtle interplay between halide-water and water-water interactions. Our results thus emphasize the importance of a correct representation of individual many-body contributions to the molecular interactions for a quantitative description of halide ion hydration. </p> </div> </div> </div>

Molecular Ion Channels; Electrodiffusion in R3

2010 ◽  
Vol 297-301 ◽  
pp. 1469-1474 ◽  
Author(s):  
Bogusław Bożek ◽  
Bartek Wierzba ◽  
Marek Danielewski
Keyword(s):  
Ion Channels ◽  
Ion Transport ◽  
Quantitative Description ◽  
Three Dimensional ◽  
Radial Symmetry ◽  
Clear Understanding ◽  
Three Dimensional Model ◽  
Molecular Ion ◽  
Channel Interactions ◽  
Molecular Channel

Ion transport across the membrane of the living cell (molecular ion channels) is a critical process, e.g., the triggering of nerve cells and heart muscle cells is coupled with mechanisms controlled by ion diffusion (electrodiffusion). Although the process is described by the century old Nernst- Planck-Poisson system of equations, it is not well understood and a clear understanding of how the interaction between channel and ions affects the flow is still missing. We present a three-dimensional model of the molecular channel. An appropriate quantitative description of the ion transport process allows proper explanation of molecule channel interactions (e.g. the ions flow for a given concentration gradient should depend on the potential and other parameters describing the interaction, i.e. asymmetric transport). We show the simulation of the stationary electrodiffusion in the ion channel showing radial symmetry.

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