Introduction to Tensor Surface Harmonic Theory

2021 ◽  
pp. 67-108
Author(s):  
D. Michael P. Mingos
Keyword(s):  
Surface Harmonic

Detection and mapping of interactions between chromatin and the nuclear envelope in drosophila embryos

1995 ◽  
Vol 53 ◽  
pp. 764-765
Author(s):  
W.F. Marshall ◽  
A.F. Dernburg ◽  
B. Harmon ◽  
J.W. Sedat
Keyword(s):  
Nuclear Envelope ◽  
Chromatin Condensation ◽  
Three Dimensional ◽  
Physiological Role ◽  
Nuclear Surface ◽  
Intact Cells ◽  
Molecular Determinants ◽  
Surface Harmonic ◽  
Drosophila Embryos

Interactions between chromatin and nuclear envelope (NE) have been implicated in chromatin condensation, gene regulation, nuclear reassembly, and organization of chromosomes within the nucleus. To further investigate the physiological role played by such interactions, it will be necessary to determine which loci specifically interact with the nuclear envelope. This will not only facilitate identification of the molecular determinants of this interaction, but will also allow manipulation of the pattern of chromatin-NE interactions to probe possible functions. We have developed a microscopic approach to detect and map chromatin-NE interactions inside intact cells.Fluorescence in situ hybridization (FISH) is used to localize specific chromosomal regions within the nucleus of Drosophila embryos and anti-lamin immunofluorescence is used to detect the nuclear envelope. Widefield deconvolution microscopy is then used to obtain a three-dimensional image of the sample (Fig. 1). The nuclear surface is represented by a surface-harmonic expansion (Fig 2). A statistical test for association of the FISH spot with the surface is then performed.

Surface-harmonic calculation of the RBMK-reactor polycells and fuel assemblies

Atomic Energy ◽  
1993 ◽  
Vol 74 (6) ◽  
pp. 440-448 ◽  
Author(s):  
N. I. Laletin ◽  
N. V. Sultanov ◽  
V. A. Lyul'ka
Keyword(s):  
Rbmk Reactor ◽  
Fuel Assemblies ◽  
Surface Harmonic

The vector particle of tensor surface harmonic theory

1994 ◽  
Vol 219 (3-4) ◽  
pp. 274-278 ◽  
Author(s):  
Arnout Ceulemans ◽  
Geert Mys
Keyword(s):  
Vector Particle ◽  
Surface Harmonic

scholarly journals Fast Simulation of Lipid Vesicle Deformation Using Spherical Harmonic Approximation

2016 ◽  
Vol 21 (1) ◽  
pp. 40-64
Author(s):  
Michael Mikucki ◽  
Yongcheng Zhou
Keyword(s):  
Harmonic Functions ◽  
Degrees Of Freedom ◽  
Finite Difference Methods ◽  
Harmonic Approximation ◽  
Lipid Vesicles ◽  
Membrane Curvature ◽  
Lipid Vesicle ◽  
Nonlinear Conjugate Gradient Method ◽  
Surface Harmonic ◽  
Curvature Energy

AbstractLipid vesicles appear ubiquitously in biological systems. Understanding how the mechanical and intermolecular interactions deform vesicle membranes is a fundamental question in biophysics. In this article we develop a fast algorithm to compute the surface configurations of lipid vesicles by introducing surface harmonic functions to approximate themembrane surface. This parameterization allows an analytical computation of the membrane curvature energy and its gradient for the efficient minimization of the curvature energy using a nonlinear conjugate gradient method. Our approach drastically reduces the degrees of freedom for approximating the membrane surfaces compared to the previously developed finite element and finite difference methods. Vesicle deformations with a reduced volume larger than 0.65 can be well approximated by using as small as 49 surface harmonic functions. The method thus has a great potential to reduce the computational expense of tracking multiple vesicles which deform for their interaction with external fields.

Scanning surface harmonic microscopy of self‐assembled monolayers on gold

1993 ◽  
Vol 63 (2) ◽  
pp. 147-149 ◽  
Author(s):  
W. Mizutani ◽  
B. Michel ◽  
R. Schierle ◽  
H. Wolf ◽  
H. Rohrer
Keyword(s):  
Self Assembled Monolayers ◽  
Surface Harmonic ◽  
Assembled Monolayers ◽  
Self Assembled

Scanning surface harmonic microscopy: Scanning probe microscopy based on microwave field‐induced harmonic generation

1992 ◽  
Vol 63 (9) ◽  
pp. 4080-4085 ◽  
Author(s):  
B. Michel ◽  
W. Mizutani ◽  
R. Schierle ◽  
A. Jarosch ◽  
W. Knop ◽  
...  
Keyword(s):  
Harmonic Generation ◽  
Scanning Probe Microscopy ◽  
Microwave Field ◽  
Scanning Probe ◽  
Probe Microscopy ◽  
Surface Harmonic

scholarly journals Comparison of Incomplete Pole-Figure Methods for Surfaces Perpendicular to Rolling, Transverse and Normal Directions

1992 ◽  
Vol 19 (1-2) ◽  
pp. 75-80 ◽  
Author(s):  
P. R. Morris ◽  
R. E. Hook
Keyword(s):  
Pole Figure ◽  
Reference Frame ◽  
Reference Frames ◽  
Spherical Surface ◽  
Sheet Steel ◽  
Case Series ◽  
Orientation Distribution ◽  
Steel Sample ◽  
Pole Figures ◽  
Surface Harmonic

Coefficients for a generalized-spherical-harmonic expansion of the crystallite orientation distribution function (ODF) through L=16 were obtained by an incomplete pole-figure method from a deep-drawing aluminum-killed sheet steel sample with surface perpendicular to the sheet-normal direction (ND). These coefficients were subsequently transformed from the RD, TD, ND reference frame to –ND, TD, RD and ND, RD, TD reference frames. Spherical-surface-harmonic expansions of incomplete {110}, {100}, and {112} pole-figures were calculated for each reference frame and used as input data to calculate ODF coefficients for each frame. The thus-calculated coefficients were transformed to the RD, TD, ND frame in each case. Series expansions of pole-figures and ODF for each frame are compared with the initial data.

Describing head shape with surface harmonic expansions

1991 ◽  
Vol 38 (3) ◽  
pp. 303-306 ◽  
Author(s):  
C. Purcell ◽  
T. Mashiko ◽  
K. Odaka ◽  
K. Ueno
Keyword(s):  
Head Shape ◽  
Surface Harmonic
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