statistical fluctuation
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2021 ◽  
Vol 15 ◽  
Author(s):  
Yuto Takeda ◽  
Katsuhiko Hata ◽  
Tokio Yamazaki ◽  
Masaki Kaneko ◽  
Osamu Yokoi ◽  
...  

Synaptic plasticity is vital for learning and memory in the brain. It consists of long-term potentiation (LTP) and long-term depression (LTD). Spike frequency is one of the major components of synaptic plasticity in the brain, a noisy environment. Recently, we mathematically analyzed the frequency-dependent synaptic plasticity (FDP) in vivo and found that LTP is more likely to occur with an increase in the frequency of background synaptic activity. Meanwhile, previous studies suggest statistical fluctuation in the amplitude of background synaptic activity. Little is understood, however, about its contribution to synaptic plasticity. To address this issue, we performed numerical simulations of a calcium-based synapse model. Then, we found attenuation of the tendency to become LTD due to an increase in the fluctuation of background synaptic activity, leading to an enhancement of synaptic weight. Our result suggests that the fluctuation affects synaptic plasticity in the brain.


2021 ◽  
Author(s):  
Egemen Aras ◽  
Robert Hayes

Abstract This study aims to low-level background range measurements of commercial OSLDs. This work is the initial step to put a framework to detect any illicit nuclear activities in any nuclear facility at any time. The idea in this framework is to utilize already placed OSLDs in the facility which are normally read-out periodically. The results of these measurements could be distinguishable from the background radiation since this paper shows how the background dose with its statistical fluctuation provide detection limits in these applications. To do this, we measured dosimeters in two ways; without removal or replacement and full removal for each measurement. As a result of measurements, the initial dose, bleaching constant, and background dose was evaluated for different measurements. ANOVA was applied to all measurements and all measurements considered a measurement data set to analyze results. Consequently, we observed no statistically significant difference in these different kinds of measurement approaches relative to the total propagated uncertainty in any given dose estimate. This shows a passive detection can be verified with iterative measurements to improve statistics without compromising data quality when coupled with dose levels of potential interest serves to advance this potential nonproliferation application.


Author(s):  
Pablo Fosalba ◽  
Enrique Gaztañaga

Abstract The origin of power asymmetry and other measures of statistical anisotropy on the largest scales of the universe, as manifested in Cosmic Microwave Background (CMB) and large-scale structure data, is a long-standing open question in cosmology. In this paper we analyse the Planck Legacy temperature anisotropy data and find strong evidence for a violation of the Cosmological principle of isotropy, with a probability of being a statistical fluctuation of order ∼10−9. The detected anisotropy is related to large-scale directional ΛCDM cosmological parameter variations across the CMB sky, that are sourced by three distinct patches in the maps with circularly-averaged sizes between 40 to 70 degrees in radius. We discuss the robustness of our findings to different foreground separation methods and analysis choices, and find consistent results from WMAP data when limiting the analysis to the same scales. We argue that these well-defined regions within the cosmological parameter maps may reflect finite and casually disjoint horizons across the observable universe. In particular we show that the observed relation between horizon size and mean dark energy density within a given horizon is in good agreement with expectations from a recently proposed model of the universe that explains cosmic acceleration and cosmological parameter tensions between the high and low redshift universe from the existence of casual horizons within our universe.


Coatings ◽  
2021 ◽  
Vol 11 (4) ◽  
pp. 469
Author(s):  
Holger Badorreck ◽  
Lars Jensen ◽  
Detlev Ristau ◽  
Marco Jupé

For the purpose of a deeper understanding of thin film growth, in the last two decades several groups developed models for simulation on the atomistic scale. Models using molecular dynamics as their simulation method already give results comparable to experiments, however statistical analysis of the simulations themselves are lacking so far, reasoned by the limits imposed by the computational power and parallelization that can only be used in lateral dimensions. With advancements of software and hardware, an increase in simulation speed by a factor of up to 10 can be reached. This allows either larger structures and/or more throughput of the simulations. The paper analyses the significance of increasing the structure size in lateral dimensions and also the repetition of simulations to gain more insights into the statistical fluctuation contained in the simulations and how well the coincidence with the experiment is. For that, glancing angle incidence deposition (GLAD) coatings are taken as an example. The results give important insights regarding the used interaction potential, the structure size and resulting important differences for the density, surface morphology, roughness and anisotropy. While larger structures naturally can reproduce the real world in more detail, the results show which structure sizes are needed for these aspects without wasting computational resources.


2021 ◽  
Vol 11 (7) ◽  
pp. 2999
Author(s):  
Alessandro Stefano ◽  
Pietro Pisciotta ◽  
Marco Pometti ◽  
Albert Comelli ◽  
Sebastiano Cosentino ◽  
...  

Gamma Knife treatment is an alternative to traditional brain surgery and whole-brain radiation therapy for treating cancers that are inaccessible via conventional treatments. To assess the effectiveness of Gamma Knife treatments, functional imaging can play a crucial role. The aim of this study is to evaluate new prognostic indices to perform an early assessment of treatment response to therapy using positron emission tomography imaging. The parameters currently used in nuclear medicine assessments can be affected by statistical fluctuation errors and/or cannot provide information on tumor extension and heterogeneity. To overcome these limitations, the Cumulative standardized uptake value (SUV) Histogram (CSH) and Area Under the Curve (AUC) indices were evaluated to obtain additional information on treatment response. For this purpose, the absolute level of [11C]-Methionine (MET) uptake was measured and its heterogeneity distribution within lesions was evaluated by calculating the CSH and AUC indices. CSH and AUC parameters show good agreement with patient outcomes after Gamma Knife treatments. Furthermore, no relevant correlations were found between CSH and AUC indices and those usually used in the nuclear medicine environment. CSH and AUC indices could be a useful tool for assessing patient responses to therapy.


Entropy ◽  
2021 ◽  
Vol 23 (3) ◽  
pp. 333
Author(s):  
Yuichi Itto

A formal analogy of fluctuating diffusivity to thermodynamics is discussed for messenger RNA molecules fluorescently fused to a protein in living cells. Regarding the average value of the fluctuating diffusivity of such RNA-protein particles as the analog of the internal energy, the analogs of the quantity of heat and work are identified. The Clausius-like inequality is shown to hold for the entropy associated with diffusivity fluctuations, which plays a role analogous to the thermodynamic entropy, and the analog of the quantity of heat. The change of the statistical fluctuation distribution is also examined from a geometric perspective. The present discussions may contribute to a deeper understanding of the fluctuating diffusivity in view of the laws of thermodynamics.


2021 ◽  
Vol 247 ◽  
pp. 09008
Author(s):  
Sin-ya Hohara ◽  
Atsushi Sakon ◽  
Tomohiro Endo ◽  
Tadafumi Sano ◽  
Kunihiro Nakajima ◽  
...  

In these years, reactor noise analysis methods have been studied to apply for the Debris’ criticality management at the Fukushima Daiichi NPP, Japan. The Feynman-α analysis with bunching method is one of the candidate techniques, however the bunching method itself has never been validated in detail. This synthesis technique is useful to reduce a time required for the experiment, however it is known that a non-physical trend unrelated to the state of a nuclear reactor is generated by the multiple use of time series data, and this phenomenon (we call “pseudo trend phenomenon”) has never been systematically studied in detail. In this study, Poisson events, whose statistical characteristics were clarified, were employed to investigate the pseudo trend phenomenon of the bunching method. The time-sequence count data for various statistical parameters were generated by the Monte Carlo time series simulator. Comparing the two results obtained by applying the conventional bunching method and the moving-bunching method for the same Poisson event time series, and it was found that the same pseudo trend component appears in both results of the bunching method and the moving bunching method. In addition, it was also found that the fluctuation width of the pseudo trend component is smaller than the statistical fluctuation range.


Author(s):  
Д.Н. Шайкин ◽  
Д.Т. Есембекова ◽  
М.М. Валиева ◽  
О.В. Копылова ◽  
D. Shaikin ◽  
...  

В статье рассмотрена проблема изучения миграционного потенциала, выступающего одной из ключевых движущих сил при формировании экономической системы государства. В рамках осуществления теоретического изучения и проведения анализа научной литературы сформулирован и дополнен понятийно-категориальный аппарат, раскрывающий точки зрения и научные подходы зарубежных ученых-исследователей различных направлений, занимающихся вопросом анализа миграционного потенциала в регионе.В статье рассмотрены методы оценки миграционного потенциала, которые являются общепринятыми и основываются на анализе и использовании таких абсолютных статистических показателей, как численность прибывшего и выбывшего населения, а также сальдо миграции. В связи с этим, авторами дополнен и осуществлен расчет коэффициента вариации, характеризующий колеблемость миграционных процессов в Северном регионе Казахстана, в который входят Акмолинская, Костанайская, Павлодарская и Северо-Казахстанская области. Согласно выполненным расчетам наибольшее значение данного показателя отмечается в Акмолинской области, что говорит о высоком уровне статистической колеблемости сальдо миграции в данном регионе. В целом, авторы указывают на необходимость учета полученных результатов при разработке национальных и региональных программных документов, целью которых является дальнейшее эффективное развитие миграционных процессов, направленное наобеспечениеустойчивого социально-экономического развития. The article deals with the problem of studying the migration potential, which is one of the key drivingforces in the formation of the state's economic system. As part of the theoretical study and analysis of scientific literature, the conceptual and categorical apparatus containing the points of view and scientific approaches of foreign researchers in various fields dealing with the analysis of migration potential in the region is formulated and supplemented. The article considers a number of approaches to assessing migration potential, which are generally accepted and are based on the analysis and use of such absolute statistical indicators as the number of arrivals and departures, as well as the migration balance. In this regard, the authors supplemented and calculated the coefficient of variation that characterizes the fluctuation of migration processes in the Northern region of Kazakhstan, which includes the Akmola, Kostanay, Pavlodar and North Kazakhstan regions. According to the calculations, the highest value of this indicator is noted in the Akmola region, which indicates a high level of statistical fluctuation of the migration balance in this region. In general, the authors point out the need to take into account the results obtained in the development of national and regional policy documents, the purpose of which is to further effective development of migration processes aimed at ensuring sustainable socio-economic development.


2020 ◽  
Vol 10 (21) ◽  
pp. 7770
Author(s):  
Zhengchun Zhou ◽  
Shanhua Zou ◽  
Tongcheng Huang ◽  
Ying Guo

Establishing global secure networks is a potential implementation of continuous-variable quantum key distribution (CVQKD) but it is also challenged with respect to long-distance transmission. The discrete modulation (DM) can make up for the shortage of transmission distance in that it has a unique advantage against all side-channel attacks; however, its further performance improvement requires source preparation in the presence of noise and loss. Here, we consider the effects of photon catalysis (PC) on the DM-involved source preparation for improving the transmission distance. We address a zero-photon-catalysis (ZPC)-based source preparation for enhancing the DM–CVQKD system. The statistical fluctuation is taken into account for the practical security analysis. Numerical simulations show that the ZPC-based source preparation can not only achieve the long-distance transmission, but also contributes to the reasonable increase of the secret key rate.


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