scholarly journals Corrigendum to: Tidying-up the plant nuclear space: domains, functions, and dynamics

2021 ◽  
Author(s):  
Ana Paula Santos ◽  
Valérie Gaudin ◽  
Iva Mozgová ◽  
Frédéric Pontvianne ◽  
Daniel Schubert ◽  
...  
Keyword(s):  
Nuclear Space

Mackey Continuity of Characteristic Functionals

2002 ◽  
Vol 9 (1) ◽  
pp. 83-112
Author(s):  
S. Kwapień ◽  
V. Tarieladze
Keyword(s):  
Product Space ◽  
Locally Convex Space ◽  
Inner Product ◽  
Nuclear Space ◽  
Probability Measures ◽  
Linear Kernel ◽  
Characteristic Functional ◽  
Initial Space ◽  
Radon Probability Measure ◽  
Locally Convex

Abstract Problems of the Mackey-continuity of characteristic functionals and the localization of linear kernels of Radon probability measures in locally convex spaces are investigated. First the class of spaces is described, for which the continuity takes place. Then it is shown that in a non-complete sigmacompact inner product space, as well as in a non-complete sigma-compact metizable nuclear space, there may exist a Radon probability measure having a non-continuous characteristic functional in the Mackey topology and a linear kernel not contained in the initial space. Similar problems for moment forms and higher order kernels are also touched upon. Finally, a new proof of the result due to Chr. Borell is given, which asserts that any Gaussian Radon measure on an arbitrary Hausdorff locally convex space has the Mackey-continuous characteristic functional.

Load-Displacement Characteristics of an Implanted Nuclear Pouch in the Lumbar Spine

1999 ◽  
Author(s):  
Andrew P. Dooris ◽  
Nicole M. Grosland ◽  
Vijay K. Goel ◽  
John S. Drake ◽  
James W. Ahern ◽  
...  
Keyword(s):  
Lumbar Spine ◽  
Nuclear Space ◽  
Patient Exposure ◽  
Active Joint ◽  
Surgical Morbidity ◽  
Bone Chip ◽  
Spinal Segments ◽  
Load Displacement ◽  
Graft Implantation

Abstract Fusion of the spinal segments is typically done to prevent or correct deformity, stabilize the spine after trauma or pathologic destruction, or eliminate painful movement of the spinal segments. Spinal interbody arthrodesis typically requires considerable patient exposure, necessary for discectomy and graft implantation, and resultant morbidity. Some researchers suggest nuclear replacements as active joint mobilizers, while others suggest full disc replacements, and although some biomechanical consideration has been given, results are unclear. We consider here a device which proposes to reduce surgical morbidity while promoting stability by fusion. The device investigated here is a bone-chip pouch, which fills the nuclear space. We present here initial findings of this device in lumbar cadaveric specimens.

scholarly journals Dynamics of Telomeres and Promyelocytic Leukemia Nuclear Bodies in a Telomerase-negative Human Cell Line

2009 ◽  
Vol 20 (7) ◽  
pp. 2070-2082 ◽  
Author(s):  
Thibaud Jegou ◽  
Inn Chung ◽  
Gerrit Heuvelman ◽  
Malte Wachsmuth ◽  
Sabine M. Görisch ◽  
...  
Keyword(s):  
Cell Line ◽  
Human Cell Line ◽  
Promyelocytic Leukemia ◽  
Nuclear Bodies ◽  
Nuclear Space ◽  
Telomere Repeat ◽  
Lac Operator ◽  
Alternative Lengthening ◽  
Promyelocytic Leukemia Nuclear Bodies ◽  
Negative Tumor

Telomerase-negative tumor cells maintain their telomeres via an alternative lengthening of telomeres (ALT) mechanism. This process involves the association of telomeres with promyelocytic leukemia nuclear bodies (PML-NBs). Here, the mobility of both telomeres and PML-NBs as well as their interactions were studied in human U2OS osteosarcoma cells, in which the ALT pathway is active. A U2OS cell line was constructed that had lac operator repeats stably integrated adjacent to the telomeres of chromosomes 6q, 11p, and 12q. By fluorescence microscopy of autofluorescent LacI repressor bound to the lacO arrays the telomere mobility during interphase was traced and correlated with the telomere repeat length. A confined diffusion model was derived that describes telomere dynamics in the nucleus on the time scale from seconds to hours. Two telomere groups were identified that differed with respect to the nuclear space accessible to them. Furthermore, translocations of PML-NBs relative to telomeres and their complexes with telomeres were evaluated. Based on these studies, a model is proposed in which the shortening of telomeres results in an increased mobility that could facilitate the formation of complexes between telomeres and PML-NBs.

HIDA DISTRIBUTIONS ON COMPACT LIE GROUPS

2000 ◽  
Vol 03 (03) ◽  
pp. 337-362 ◽  
Author(s):  
THOMAS DECK
Keyword(s):  
Lie Group ◽  
Noise Analysis ◽  
Growth Conditions ◽  
Nuclear Space ◽  
Compact Lie Groups ◽  
Space Of Analytic Functions ◽  
S Transform ◽  
Tensor Norm ◽  
Taylor Map ◽  
Connected Lie Group

We show that a nuclear space of analytic functions on K is associated with each compact, connected Lie group K. Its dual space consists of distributions (generalized functions on K) which correspond to the Hida distributions in white noise analysis. We extend Hall's transform to the space of Hida distributions on K. This extension — the S-transform on K — is then used to characterize Hida distributions by holomorphic functions satisfying exponential growth conditions (U-functions). We also give a tensor description of Hida distributions which is induced by the Taylor map on U-functions. Finally we consider the Wiener path group over a complex, connected Lie group. We show that the Taylor map for square integrable holomorphic Wiener functions is not isometric w.r.t. the natural tensor norm. This indicates (besides other arguments) that there might be no generalization of Hida distribution theory for (noncommutative) path groups equipped with Wiener measure.

scholarly journals Explicit forms of Wick tensor powers in general white noise spaces

2002 ◽  
Vol 31 (7) ◽  
pp. 413-420 ◽  
Author(s):  
ZhiyuanHuang Huang ◽  
Xiaoshan Hu ◽  
Xiangjun Wang
Keyword(s):  
White Noise ◽  
Random Variable ◽  
Nuclear Space ◽  
Infinitely Divisible ◽  
Gaussian Analysis ◽  
Tensor Powers

This paper is devoted to construction and investigation of explicit forms of Wick tensor powers in general white noise spaces. We give an extension of some objects and structure of Gaussian analysis to the case of more general white noise measures onE*(the dual of a nuclear spaceE), such that the random variable〈ω,ξ〉is infinitely divisible distributed for anyξ∈Eandω∈E*.

scholarly journals Invariant nuclear space of a second quantization operator

1995 ◽  
Vol 25 (3) ◽  
pp. 541-559
Author(s):  
Hong Chul Chae ◽  
Kenji Handa ◽  
Itaru Mitoma ◽  
Yoshiaki Okazaki
Keyword(s):  
Nuclear Space ◽  
Second Quantization ◽  
Quantization Operator

scholarly journals Live-cell chromosome dynamics in Arabidopsis thaliana reveals increased chromatin mobility in response to DNA damage

2021 ◽  
Author(s):  
Anis Meschichi ◽  
Adrien Sicard ◽  
Frédéric Pontvianne ◽  
Svenja Reeck ◽  
Stefanie Rosa
Keyword(s):  
Dna Damage ◽  
Arabidopsis Thaliana ◽  
Genome Instability ◽  
High Mobility ◽  
Double Strand Breaks ◽  
Nuclear Space ◽  
Strand Breaks ◽  
Homologous Sequences ◽  
Damage Response ◽  
Repair Mechanisms

Double-strand breaks (DSBs) are a particularly deleterious type of DNA damage potentially leading to translocations and genome instability. Homologous recombination (HR) is a conservative repair pathway in which intact homologous sequences are used as a template for repair. How damaged DNA molecules search for homologous sequences in the crowded space of the cell nucleus is, however, still poorly understood, especially in plants. Here, we measured global chromosome and DSB site mobility, in Arabidopsis thaliana, by tracking the motion of specific loci using the lacO/LacI tagging system and two GFP-tagged HR regulators, RAD51 and RAD54. We observed an increase in chromatin mobility upon the induction of DNA damage, specifically at the S/G2 phases of the cell cycle. Importantly, this increase in mobility was lost on sog1-1 mutant, a central transcription factor of the DNA damage response (DDR), indicating that repair mechanisms actively regulate chromatin mobility upon DNA damage. Interestingly, we observed that DSB sites show remarkably high mobility levels at the early HR stage. Subsequently, a drastic decrease of DSB mobility is observed, which seems to be associated to the relocation of DSBs to the nucleus periphery. Altogether, our data suggest that changes in chromatin mobility are triggered in response to DNA damage, and that this may act as a mechanism to enhance the physical search within the nuclear space to locate a homologous template during homology-directed DNA repair.

scholarly journals Technologies to study spatial genome organization: beyond 3C

2019 ◽  
Author(s):  
Nadine Übelmesser ◽  
Argyris Papantonis
Keyword(s):  
Genome Organization ◽  
Nuclear Organization ◽  
Three Dimensional ◽  
Nuclear Space ◽  
Chromosome Conformation ◽  
Novel Variants ◽  
Cell Processes ◽  
Systematic Biases ◽  
And Function ◽  
Spatial Genome Organization

Abstract The way that chromatin is organized in three-dimensional nuclear space is now acknowledged as a factor critical for the major cell processes, like transcription, replication and cell division. Researchers have been armed with new molecular and imaging technologies to study this structure-to-function link of genomes, spearheaded by the introduction of the ‘chromosome conformation capture’ technology more than a decade ago. However, this technology is not without shortcomings, and novel variants and orthogonal approaches are being developed to overcome these. As a result, the field of nuclear organization is constantly fueled by methods of increasing resolution and/or throughput that strive to eliminate systematic biases and increase precision. In this review, we attempt to highlight the most recent advances in technology that promise to provide novel insights on how chromosomes fold and function.

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