A symmetric mapping of spatial domains, infinitely close to a sphere, with asymptotically smallest maximal dilatation

1983 ◽  
Vol 23 (4) ◽  
pp. 472-483
Author(s):  
M. Yu. Vasil'chik
Keyword(s):  
Maximal Dilatation ◽  
Spatial Domains

scholarly journals A DNA Sequence Based Polymer Model for Chromatin Folding

2021 ◽  
Vol 22 (3) ◽  
pp. 1328
Author(s):  
Rui Zhou ◽  
Yi Qin Gao
Keyword(s):  
Dna Sequence ◽  
Cpg Island ◽  
Coarse Grained ◽  
Chromosome Territories ◽  
Base Pairs ◽  
Single Chromosome ◽  
Power Law Decay ◽  
Multiple Length Scales ◽  
Spatial Domains ◽  
Chromatin Folding

The recent development of sequencing technology and imaging methods has provided an unprecedented understanding of the inter-phase chromatin folding in mammalian nuclei. It was found that chromatin folds into topological-associated domains (TADs) of hundreds of kilo base pairs (kbps), and is further divided into spatially segregated compartments (A and B). The compartment B tends to be located near to the periphery or the nuclear center and interacts with other domains of compartments B, while compartment A tends to be located between compartment B and interacts inside the domains. These spatial domains are found to highly correlate with the mosaic CpG island (CGI) density. High CGI density corresponds to compartments A and small TADs, and vice versa. The variation of contact probability as a function of sequential distance roughly follows a power-law decay. Different chromosomes tend to segregate to occupy different chromosome territories. A model that can integrate these properties at multiple length scales and match many aspects is highly desired. Here, we report a DNA-sequence based coarse-grained block copolymer model that considers different interactions between blocks of different CGI density, interactions of TAD formation, as well as interactions between chromatin and the nuclear envelope. This model captures the various single-chromosome properties and partially reproduces the formation of chromosome territories.

scholarly journals An immersive first-person navigation task for abstract knowledge acquisition

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Doerte Kuhrt ◽  
Natalie R. St. John ◽  
Jacob L. S. Bellmund ◽  
Raphael Kaplan ◽  
Christian F. Doeller
Keyword(s):  
Spatial Navigation ◽  
First Person ◽  
Abstract Space ◽  
Motion Platform ◽  
Head Mounted Display ◽  
Person Perspective ◽  
Abstract Knowledge ◽  
Behavioural Patterns ◽  
Spatial Domains ◽  
First Person Perspective

AbstractAdvances in virtual reality (VR) technology have greatly benefited spatial navigation research. By presenting space in a controlled manner, changing aspects of the environment one at a time or manipulating the gain from different sensory inputs, the mechanisms underlying spatial behaviour can be investigated. In parallel, a growing body of evidence suggests that the processes involved in spatial navigation extend to non-spatial domains. Here, we leverage VR technology advances to test whether participants can navigate abstract knowledge. We designed a two-dimensional quantity space—presented using a head-mounted display—to test if participants can navigate abstract knowledge using a first-person perspective navigation paradigm. To investigate the effect of physical movement, we divided participants into two groups: one walking and rotating on a motion platform, the other group using a gamepad to move through the abstract space. We found that both groups learned to navigate using a first-person perspective and formed accurate representations of the abstract space. Interestingly, navigation in the quantity space resembled behavioural patterns observed in navigation studies using environments with natural visuospatial cues. Notably, both groups demonstrated similar patterns of learning. Taken together, these results imply that both self-movement and remote exploration can be used to learn the relational mapping between abstract stimuli.

scholarly journals Evidence toward the potential absence of relationship between temporal and spatial heartbeats perception

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Betka Sophie ◽  
Łukowska Marta ◽  
Silva Marta ◽  
King Joshua ◽  
Garfinkel Sarah ◽  
...  
Keyword(s):  
Bayesian Statistics ◽  
State Anxiety ◽  
Discrimination Task ◽  
Spatial Perception ◽  
The Body ◽  
Temporal Perception ◽  
Heartbeat Perception ◽  
Sampling Locations ◽  
Spatial Domains ◽  
Temporal And Spatial

AbstractMany interoceptive tasks (i.e. measuring the sensitivity to bodily signals) are based upon heartbeats perception. However, the temporal perception of heartbeats—when heartbeats are felt—varies among individuals. Moreover, the spatial perception of heartbeats—where on the body heartbeats are felt—has not been characterized in relation to temporal. This study used a multi-interval heartbeat discrimination task in which participants judged the timing of their own heartbeats in relation to external tones. The perception of heartbeats in both time and spatial domains, and relationship between these domains was investigated. Heartbeat perception occurred on average ~ 250 ms after the ECG R-wave, most frequently sampled from the left part of the chest. Participants’ confidence in discriminating the timing of heartbeats from external tones was maximal at 0 ms (tone played at R-wave). Higher confidence was related to reduced dispersion of sampling locations, but Bayesian statistics indicated the absence of relationship between temporal and spatial heartbeats perception. Finally, the spatial precision of heartbeat perception was related to state-anxiety scores, yet largely independent of cardiovascular parameters. This investigation of heartbeat perception provides fresh insights concerning interoceptive signals that contribute to emotion, cognition and behaviour.

scholarly journals Reference frames in spatial communication for navigation and sports: an empirical study in ultimate frisbee players

2020 ◽  
Vol 5 (1) ◽  
Author(s):  
Steven M. Weisberg ◽  
Anjan Chatterjee
Keyword(s):  
Reference Frame ◽  
Reference Frames ◽  
Spatial Information ◽  
Spatial Reference ◽  
Spatial Reference Frames ◽  
The North ◽  
Communication Task ◽  
Spatial Communication ◽  
Spatial Domains ◽  
Ultimate Frisbee

Abstract Background Reference frames ground spatial communication by mapping ambiguous language (for example, navigation: “to the left”) to properties of the speaker (using a Relative reference frame: “to my left”) or the world (Absolute reference frame: “to the north”). People’s preferences for reference frame vary depending on factors like their culture, the specific task in which they are engaged, and differences among individuals. Although most people are proficient with both reference frames, it is unknown whether preference for reference frames is stable within people or varies based on the specific spatial domain. These alternatives are difficult to adjudicate because navigation is one of few spatial domains that can be naturally solved using multiple reference frames. That is, while spatial navigation directions can be specified using Absolute or Relative reference frames (“go north” vs “go left”), other spatial domains predominantly use Relative reference frames. Here, we used two domains to test the stability of reference frame preference: one based on navigating a four-way intersection; and the other based on the sport of ultimate frisbee. We recruited 58 ultimate frisbee players to complete an online experiment. We measured reaction time and accuracy while participants solved spatial problems in each domain using verbal prompts containing either Relative or Absolute reference frames. Details of the task in both domains were kept as similar as possible while remaining ecologically plausible so that reference frame preference could emerge. Results We pre-registered a prediction that participants would be faster using their preferred reference frame type and that this advantage would correlate across domains; we did not find such a correlation. Instead, the data reveal that people use distinct reference frames in each domain. Conclusion This experiment reveals that spatial reference frame types are not stable and may be differentially suited to specific domains. This finding has broad implications for communicating spatial information by offering an important consideration for how spatial reference frames are used in communication: task constraints may affect reference frame choice as much as individual factors or culture.

Determination of spatial domains of zygotic gene expression in the Drosophila embryo by the affinity of binding sites for the bicoid morphogen

Nature ◽  
1989 ◽  
Vol 340 (6232) ◽  
pp. 363-367 ◽  
Author(s):  
Wolfgang Driever ◽  
Gudrun Thoma ◽  
Christiane Nüsslein-Volhard
Keyword(s):  
Gene Expression ◽  
Binding Sites ◽  
Drosophila Embryo ◽  
Zygotic Gene ◽  
Spatial Domains

scholarly journals Assessing the Effect of Drought on Winter Wheat Growth Using Unmanned Aerial System (UAS)-Based Phenotyping

2021 ◽  
Vol 13 (6) ◽  
pp. 1144
Author(s):  
Mahendra Bhandari ◽  
Shannon Baker ◽  
Jackie C. Rudd ◽  
Amir M. H. Ibrahim ◽  
Anjin Chang ◽  
...  
Keyword(s):  
Winter Wheat ◽  
Vegetation Index ◽  
Normalized Difference Vegetation Index ◽  
Vegetation Indices ◽  
Grain Filling ◽  
Unmanned Aerial Systems ◽  
High Temporal Resolution ◽  
Wheat Growth ◽  
Spatial Domains ◽  
Temporal And Spatial

Drought significantly limits wheat productivity across the temporal and spatial domains. Unmanned Aerial Systems (UAS) has become an indispensable tool to collect refined spatial and high temporal resolution imagery data. A 2-year field study was conducted in 2018 and 2019 to determine the temporal effects of drought on canopy growth of winter wheat. Weekly UAS data were collected using red, green, and blue (RGB) and multispectral (MS) sensors over a yield trial consisting of 22 winter wheat cultivars in both irrigated and dryland environments. Raw-images were processed to compute canopy features such as canopy cover (CC) and canopy height (CH), and vegetation indices (VIs) such as Normalized Difference Vegetation Index (NDVI), Excess Green Index (ExG), and Normalized Difference Red-edge Index (NDRE). The drought was more severe in 2018 than in 2019 and the effects of growth differences across years and irrigation levels were visible in the UAS measurements. CC, CH, and VIs, measured during grain filling, were positively correlated with grain yield (r = 0.4–0.7, p < 0.05) in the dryland in both years. Yield was positively correlated with VIs in 2018 (r = 0.45–0.55, p < 0.05) in the irrigated environment, but the correlations were non-significant in 2019 (r = 0.1 to −0.4), except for CH. The study shows that high-throughput UAS data can be used to monitor the drought effects on wheat growth and productivity across the temporal and spatial domains.

Otx2andGbx2are required for refinement and not induction of mid-hindbrain gene expression

Development ◽  
2001 ◽  
Vol 128 (24) ◽  
pp. 4979-4991 ◽  
Author(s):  
James Y. H. Li ◽  
Alexandra L. Joyner
Keyword(s):  
Gene Expression ◽  
Retinoic Acid ◽  
Mouse Embryos ◽  
Anterior Region ◽  
Spatial Domains ◽  
Cerebellum Development

Otx2 and Gbx2 are among the earliest genes expressed in the neuroectoderm, dividing it into anterior and posterior domains with a common border that marks the mid-hindbrain junction. Otx2 is required for development of the forebrain and midbrain, and Gbx2 for the anterior hindbrain. Furthermore, opposing interactions between Otx2 and Gbx2 play an important role in positioning the mid-hindbrain boundary, where an organizer forms that regulates midbrain and cerebellum development. We show that the expression domains of Otx2 and Gbx2 are initially established independently of each other at the early headfold stage, and then their expression rapidly becomes interdependent by the late headfold stage. As we demonstrate that the repression of Otx2 by retinoic acid is dependent on an induction of Gbx2 in the anterior brain, molecules other than retinoic acid must regulate the initial expression of Otx2 in vivo. In contrast to previous suggestions that an interaction between Otx2- and Gbx2-expressing cells may be essential for induction of mid-hindbrain organizer factors such as Fgf8, we find that Fgf8 and other essential mid-hindbrain genes are induced in a correct temporal manner in mouse embryos deficient for both Otx2 and Gbx2. However, expression of these genes is abnormally co-localized in a broad anterior region of the neuroectoderm. Finally, we find that by removing Otx2 function, development of rhombomere 3 is rescued in Gbx2–/– embryos, showing that Gbx2 plays a permissive, not instructive, role in rhombomere 3 development. Our results provide new insights into induction and maintenance of the mid-hindbrain genetic cascade by showing that a mid-hindbrain competence region is initially established independent of the division of the neuroectoderm into an anterior Otx2-positive domain and posterior Gbx2-positive domain. Furthermore, Otx2 and Gbx2 are required to suppress hindbrain and midbrain development, respectively, and thus allow establishment of the normal spatial domains of Fgf8 and other genes.

scholarly journals Three-dimensional organization of Drosophila melanogaster interphase nuclei. I. Tissue-specific aspects of polytene nuclear architecture.

1987 ◽  
Vol 104 (6) ◽  
pp. 1455-1470 ◽  
Author(s):  
M Hochstrasser ◽  
J W Sedat
Keyword(s):  
Drosophila Melanogaster ◽  
Three Dimensional ◽  
Nuclear Architecture ◽  
Close Packing ◽  
Prothoracic Gland ◽  
Cell Type ◽  
Interphase Chromosome ◽  
Tissue Specific ◽  
Spatial Domains ◽  
Four Levels

Interphase chromosome organization in four different Drosophila melanogaster tissues, covering three to four levels of polyteny, has been analyzed. The results are based primarily on three-dimensional reconstructions from unfixed tissues using a computer-based data collection and modeling system. A characteristic organization of chromosomes in each cell type is observed, independent of polyteny, with some packing motifs common to several or all tissues and others tissue-specific. All chromosomes display a right-handed coiling chirality, despite large differences in size and degree of coiling. Conversely, in each cell type, the heterochromatic centromeric regions have a unique structure, tendency to associate, and intranuclear location. The organization of condensed nucleolar chromatin is also tissue-specific. The tightly coiled prothoracic gland chromosomes are arrayed in a similar fashion to the much larger salivary gland chromosomes described previously, having polarized orientations, nonintertwined spatial domains, and close packing of the arms of each autosome, whereas hindgut and especially the unusually straight midgut chromosomes display striking departures from these regularities. Surprisingly, gut chromosomes often appear to be broken in the centric heterochromatin. Severe deformations of midgut nuclei observed during gut contractions in living larvae may account for their unusual properties. Finally, morphometric measurements of chromosome and nuclear dimensions provide insights into chromosome growth and substructure and also suggest an unexpected parallel with diploid chromatin organization.

scholarly journals OECD-NEA Expert Group on Multi-Physics Experimental Data, Benchmarks and Validation

2018 ◽  
Author(s):  
Timothy Valentine ◽  
Kostadin Ivanov ◽  
Maria Avramova ◽  
Alessandro Petruzzi ◽  
Jean-Pascal Hudelot ◽  
...  
Keyword(s):  
Experimental Data ◽  
Nuclear Energy ◽  
Great Promise ◽  
Expert Group ◽  
Energy Agency ◽  
Validation Data ◽  
Task Forces ◽  
Spatial Domains ◽  
Physics Modeling ◽  
Physical Phenomena

High-fidelity, multi-physics modeling and simulation (M&S) tools are being developed and utilized for a variety of applications in nuclear science and technology and show great promise in their abilities to reproduce observed phenomena for many applications. Even with the increasing fidelity and sophistication of coupled multi-physics M&S tools, the underpinning models and data still need to be validated against experiments that may require a more complex array of validation data because of the great breadth of the time, energy and spatial domains of the physical phenomena that are being simulated. The expert group on Multi-Physics Experimental Data, Benchmarks and Validation (MPEBV) of the Nuclear Energy Agency (NEA) of the Organization for Economic Cooperation and Development (OECD) was formed to address the challenges with the validation of such tools. The work of the MPEBV expert group is shared among three task forces to fulfill its mandate and specific exercises are being developed to demonstrate validation principles for common industrial challenges. This paper describes the overall mission of the group, the specific objectives of the task forces, the linkages among the task forces, and the development of a validation exercise that focuses on a specific reactor challenge problem.

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