scholarly journals On three-dimensional Type I $\kappa $-solutions to the Ricci flow

2018 ◽  
Vol 146 (11) ◽  
pp. 4899-4903
Author(s):  
Yongjia Zhang
Keyword(s):  
Ricci Flow ◽  
Three Dimensional ◽  
Type I

Nonexistence of noncompact Type-I ancient three-dimensional κ-solutions of Ricci flow with positive curvature

2019 ◽  
Vol 21 (06) ◽  
pp. 1850049 ◽  
Author(s):  
Max Hallgren
Keyword(s):  
Ricci Flow ◽  
Positive Curvature ◽  
Three Dimensional ◽  
Short Paper ◽  
Type I ◽  
Noncompact Type

In this short paper, we show that there does not exist a noncompact Type-I [Formula: see text]-solution of the Ricci flow with positive curvature in dimension 3.

scholarly journals Application of a Proposed Multi-Positional Circumferential Arm Liposuction Method and Quantification of its Clinical Efficacy Evaluation

2021 ◽  
Author(s):  
Yunpeng Gu ◽  
Ning Kang ◽  
Qianwen Lv ◽  
Yue Qi ◽  
Zhenjun Liu ◽  
...  
Keyword(s):  
Clinical Efficacy ◽  
Quantitative Research ◽  
Three Dimensional ◽  
Reduction Rate ◽  
Full Description ◽  
Type I ◽  
Efficacy Evaluation ◽  
Level Of Evidence ◽  
Simple Measurement ◽  
Based Medicine

Abstract Background Upper arm liposuction mainly focuses on the posterolateral region, which may lead to a lack of harmony between the aspirated and unaspirated areas. In addition, the treatment effect of arm liposuction is often evaluated only by preoperative and postoperative photograph comparison and simple measurement; quantitative research on this topic is still lacking. Methods The multi-positional circumferential arm liposuction (MCAL) technique was proposed and applied to a total of 34 females in our hospital from 2017 to 2019. Three-dimensional data of 12 patients before the operation and after 2–3 months were collected and processed by 3D imaging, and the volume reduction rate was evaluated quantitatively. Results The MCAL method was successfully applied in the clinic, and its surgical effect was quantitatively studied. The mean follow-up time of 12 patients was (75.2 ±13.1) days, and the postoperative volume was significantly reduced. The postoperative volume of patients with type I, type II and type III decreased by (10.79 ±2.55)%, (17.25 ±3.02)% and (22.76 ±3.51)%, respectively. Conclusion Our new MCAL technique was successful, maximizing the esthetic results in upper limb contour refinements in the superficial fascial layer. The clinical efficacy of this proposed MCAL method was evaluated by CT and 3D digital technology, which provided further accuracy in demonstrating its effect on the shape of the arm. Level of evidence IV This journal requires that authors assign a level of evidence to each article. For a full description of these Evidence-Based Medicine ratings, please refer to the Table of Contents or the online Instructions to Authors https://www.springer.com.

A new model for packing of type-I collagen molecules in the native fibril

1981 ◽  
Vol 1 (10) ◽  
pp. 801-810 ◽  
Author(s):  
Karl A. Piez ◽  
Benes L. Trus
Keyword(s):  
Type I Collagen ◽  
Hexagonal Lattice ◽  
Three Dimensional ◽  
Equatorial Region ◽  
Type I ◽  
X Ray Diffraction ◽  
X Ray ◽  
Left Handed ◽  
Crystal Model ◽  
Collagen Molecules

A specific fibril model is presented consisting of bundles of five-stranded microfibrils, which are usually disordered (except axially) but under lateral compression become ordered. The features are as follows (where D = 234 residues or 67 nm): (1) D-staggered collagen molecules 4.5 D long in the helical microfibril have a left-handed supercoil with a pitch of 400–700 residues, but microfibrils need not have helical symmetry. (2) Straight-tilted 0.5-D overlap regions on a near-hexagonal lattice contribute the discrete x-ray diffraction reflections arising from lateral order, while the gap regions remain disordered. (3) The overlap regions are equivalent, but are crystallographically distinguished by systematic displacements from the near-hexagonal lattice. (4) The unit cell is the same as in a recently proposed three-dimensional crystal model, and calculated intensities in the equatorial region of the x-ray diffraction pattern agree with observed values.

scholarly journals Protease-dependent versus -independent cancer cell invasion programs: three-dimensional amoeboid movement revisited

2009 ◽  
Vol 185 (1) ◽  
pp. 11-19 ◽  
Author(s):  
Farideh Sabeh ◽  
Ryoko Shimizu-Hirota ◽  
Stephen J. Weiss
Keyword(s):  
Cancer Cells ◽  
Type I Collagen ◽  
Three Dimensional ◽  
Amoeboid Movement ◽  
Type I ◽  
Collagen Network ◽  
Normal Tissues ◽  
Tissue Invasion ◽  
Absolute Requirement ◽  
Cross Links

Tissue invasion during metastasis requires cancer cells to negotiate a stromal environment dominated by cross-linked networks of type I collagen. Although cancer cells are known to use proteinases to sever collagen networks and thus ease their passage through these barriers, migration across extracellular matrices has also been reported to occur by protease-independent mechanisms, whereby cells squeeze through collagen-lined pores by adopting an ameboid phenotype. We investigate these alternate models of motility here and demonstrate that cancer cells have an absolute requirement for the membrane-anchored metalloproteinase MT1-MMP for invasion, and that protease-independent mechanisms of cell migration are only plausible when the collagen network is devoid of the covalent cross-links that characterize normal tissues.

Collagen Expression in Tissue Engineered Cartilage of Aged Human Articular Chondrocytes in a Rotating Bioreactor

2003 ◽  
Vol 26 (4) ◽  
pp. 319-330 ◽  
Author(s):  
S. Marlovits ◽  
B. Tichy ◽  
M. Truppe ◽  
D. Gruber ◽  
W. Schlegel
Keyword(s):  
Electron Microscopy ◽  
Collagen Type ◽  
Articular Chondrocytes ◽  
Three Dimensional ◽  
Collagen Type I ◽  
Human Articular Chondrocytes ◽  
Type I ◽  
Transmission Electron ◽  
Low Shear Stress ◽  
Engineered Cartilage

This study describes the culture and three-dimensional assembly of aged human articular chondrocytes under controlled oxygenation and low shear stress in a rotating-wall vessel. Chondrocytes cultured in monolayer were released and placed without any scaffold as a single cell suspension in a rotating bioreactor for 12 weeks. Samples were analyzed with immunohistochemistry, molecular biology and electron microscopy. During serial monolayer cultures chondrocytes dedifferentiated to a “fibroblast-like” structure and produced predominantly collagen type I. When these dedifferentiated cells were transferred to the rotating bioreactor, the cells showed a spontaneous aggregation and formation of solid tissue during the culture time. Expression of collagen type II and other components critical for the extracellular cartilage matrix could be detected. Transmission electron microscopy revealed a fine network of randomly distributed collagen fibrils. This rotating bioreactor proves to be a useful tool for providing an environment that enables dedifferentiated chondrocytes to redifferentiate and produce a cartilage-specific extracellular matrix.

Afferent Innervation Patterns of the Saccule in Pigeons

2003 ◽  
Vol 89 (1) ◽  
pp. 534-550 ◽  
Author(s):  
M. Zakir ◽  
D. Huss ◽  
J. D. Dickman
Keyword(s):  
Hair Cells ◽  
Three Dimensional ◽  
Otolith Organs ◽  
Type I ◽  
Innervation Patterns ◽  
Receptor Organ ◽  
Oriented Parallel ◽  
Biotinylated Dextran ◽  
Afferent Innervation ◽  
Anterior Posterior

The innervation patterns of vestibular saccular afferents were quantitatively investigated in pigeons using biotinylated dextran amine as a neural tracer and three-dimensional computer reconstruction. Type I hair cells were found throughout a large portion of the macula, with the highest density observed in the striola. Type II hair cells were located throughout the macula, with the highest density in the extrastriola. Three classes of afferent innervation patterns were observed, including calyx, dimorph, and bouton units, with 137 afferents being anatomically reconstructed and used for quantitative comparisons. Calyx afferents were located primarily in the striola, innervated a number of type I hair cells, and had small innervation areas. Most calyx afferent terminal fields were oriented parallel to the anterior-posterior axis and the morphological polarization reversal line. Dimorph afferents were located throughout the macula, contained fewer type I hair cells in a calyceal terminal than calyx afferents and had medium sized innervation areas. Bouton afferents were restricted to the extrastriola, with multi-branching fibers and large innervation areas. Most of the dimorph and bouton afferents had innervation fields that were oriented dorso-ventrally but were parallel to the neighboring reversal line. The organizational morphology of the saccule was found to be distinctly different from that of the avian utricle or lagena otolith organs and appears to represent a receptor organ undergoing evolutionary adaptation toward sensing linear motion in terrestrial and aerial species.

scholarly journals P260Right cardiac chambers remodeling in marathon and ultra-trail athletes detected by speckle-tracking echocardiographyP261Speckle tracking determination of tissue motion annular displacement: comparison with strain and ejection fraction, and association with outcomes in haemodialysis patientsP262Value of right ventricular 2D-speckle tracking parameters in predicting the TIMI flow grade of the RCA in patients with acute RV infarctionP263The correlation between left atrial deformation indices and the CHA2DS2 - VASc risk score in patients with atrial fibrillationP264Right atrial and ventricular function evaluated with speckle tracking in patients with acute pulmonary embolismP265Enhanced accuracy of a speckle tracking strain based artificial intelligence model to differentiate ischaemic myocardial disease and cardiomyopathyP266Detection of early left ventricular and left atrial dysfunction in type I diabetes mellitus using 2D speckle tracking echocardiographyP267Two-dimensional left ventricular global longitudinal strain dynamics after percutaneous coronary intervention in stable single-vessel coronary artery disease patientsP268Left ventricular twist, torsion and strain in the fetus by 3D echocardiography: feasibility and comparisons with 2DP269Left atrial deformation analysis in acromegaly - a three-dimensional speckle-tracking echocardiographic studyP270Impact of hemodialysis on three-dimensional left ventricular myocardial deformation in end-stage renal disease: relationships with preload reductionP271Right atrial function in noncompaction cardiomyopathy - a three-dimensional speckle-tracking echocardiographic studyP272CABG failure in the era of cardiac computed tomography - after 8 years half the patients have at least one graft affected

2016 ◽  
Vol 17 (suppl 2) ◽  
pp. ii45-ii48 ◽  
Author(s):  
K. Ujka ◽  
D Y Y Chiu ◽  
H. Tayel ◽  
SHAIMA Mostafa ◽  
E. Ramberg ◽  
...  
Keyword(s):  
Left Atrial ◽  
Speckle Tracking ◽  
Type I Diabetes ◽  
Global Longitudinal Strain ◽  
Three Dimensional ◽  
Left Ventricular ◽  
Deformation Analysis ◽  
Type I ◽  
Timi Flow Grade ◽  
2D Speckle Tracking

scholarly journals Dynamic Mass Exchange in Doubly Degenerate Binaries. II. The Importance of Nuclear Energy Release

1989 ◽  
Vol 114 ◽  
pp. 511-514 ◽  
Author(s):  
W. Benz ◽  
A.G.W. Cameron ◽  
R. L. Bowers
Keyword(s):  
Energy Release ◽  
Gravitational Radiation ◽  
White Dwarf ◽  
Binary Stars ◽  
Nuclear Energy ◽  
Three Dimensional ◽  
Roche Lobe ◽  
Critical Threshold ◽  
Type I ◽  
Ignition Threshold

The hypothesis that Type I supernova explosions originate in binary stars, in which the secondary overflows its Roche lobe and causes a white dwarf primary to pass a critical threshold for dynamical collapse, has gained in popularity over the last decade and a half (Truran and Cameron 1971; Whelan and Iben 1973; Wheeler 1982). During this period attention has also focussed on double-degenerate binary precursors of such systems, in which gravitational radiation of orbital angular momentum causes two white dwarf stars to spiral slowly together until the less massive of the stars begins to overflow its Roche lobe (Tutukov and Yungelson 1979; Webbink 1979; Iben and Tutukov 1984; Paczyński 1985). Cameron and Iben (1986) discussed the stability of such systems as the threshold of Roche lobe overflow was approached and for low mass ratios in which gravitational radiation can maintain a low rate of such overflow. Benz, Bowers, Cameron, and Press (1988, hereafter BBCP) computed the actual merging of a binary system composed of a 1.2M© primary and a 0.9M© secondary using a fully three-dimensional SPH code. Their simulation did not include the effect of nuclear energy release despite the fact that the temperature in the accretion shock reached the carbon ignition threshold, and therefore their conclusions about the structure of the merged object remained uncertain.

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