Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Population Balance Equations of the Crystallization Process

Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridynamic differential operator(EE–PDDO)was obtained for solving the one-dimensional population balance equation in crystallization.Four different conditions during crystallization were studied:size-independent growth,sizedependent growth in a batch process,nucleation and size-independent growth,and nucleation and size-dependent growth in a continuous process.The high accuracy of the EE–PDDO method was confirmed by comparing it with the numerical results obtained using the second-order upwind and HR-van methods.The method is characterized by non-oscillation and high accuracy,especially in the discontinuous and sharp crystal size distribution.The stability of the EE–PDDO method,choice of weight function in the PDDO method,and optimal time step are also discussed.

Multisensory mechanisms of gait and balance in Parkinson’s disease:an integrative review

Understanding the neural underpinning of human gait and balance is one of the most pertinent challenges for 21st-century translational neuroscience due to the profound impact that falls and mobility disturbances have on our aging population.Posture and gait control does not happen automatically,as previously believed,but rather requires continuous involvement of central nervous mechanisms.To effectively exert control over the body,the brain must integrate multiple streams of sensory information,including visual,vestibular,and somatosensory signals.The mechanisms which underpin the integration of these multisensory signals are the principal topic of the present work.Existing multisensory integration theories focus on how failure of cognitive processes thought to be involved in multisensory integration leads to falls in older adults.Insufficient emphasis,however,has been placed on specific contributions of individual sensory modalities to multisensory integration processes and cross-modal interactions that occur between the sensory modalities in relation to gait and balance.In the present work,we review the contributions of somatosensory,visual,and vestibular modalities,along with their multisensory intersections to gait and balance in older adults and patients with Parkinson’s disease.We also review evidence of vestibular contributions to multisensory temporal binding windows,previously shown to be highly pertinent to fall risk in older adults.Lastly,we relate multisensory vestibular mechanisms to potential neural substrates,both at the level of neurobiology(concerning positron emission tomography imaging)and at the level of electrophysiology(concerning electroencephalography).We hope that this integrative review,drawing influence across multiple subdisciplines of neuroscience,paves the way for novel research directions and therapeutic neuromodulatory approaches,to improve the lives of older adults and patients with neurodegenerative diseases.

Wireless Network Security Using Load Balanced Mobile Sink Technique

Real-time applications based on Wireless Sensor Network(WSN)tech-nologies are quickly increasing due to intelligent surroundings.Among the most significant resources in the WSN are battery power and security.Clustering stra-tegies improve the power factor and secure the WSN environment.It takes more electricity to forward data in a WSN.Though numerous clustering methods have been developed to provide energy consumption,there is indeed a risk of unequal load balancing,resulting in a decrease in the network’s lifetime due to network inequalities and less security.These possibilities arise due to the cluster head’s limited life span.These cluster heads(CH)are in charge of all activities and con-trol intra-cluster and inter-cluster interactions.The proposed method uses Lifetime centric load balancing mechanisms(LCLBM)and Cluster-based energy optimiza-tion using a mobile sink algorithm(CEOMS).LCLBM emphasizes the selection of CH,system architectures,and optimal distribution of CH.In addition,the LCLBM was added with an assistant cluster head(ACH)for load balancing.Power consumption,communications latency,the frequency of failing nodes,high security,and one-way delay are essential variables to consider while evaluating LCLBM.CEOMS will choose a cluster leader based on the influence of the fol-lowing parameters on the energy balance of WSNs.According to simulatedfind-ings,the suggested LCLBM-CEOMS method increases cluster head selection self-adaptability,improves the network’s lifetime,decreases data latency,and bal-ances network capacity.

Three-dimensional nonlinear H_2/H_∞ guidance law based upon approach of solving the state feedback Nash balance point

Based upon the theory of the nonlinear quadric two-person nonzero-sum differential game,the fact that the time-limited mixed H2/H∞ control problem can be turned into the problem of solving the state feedback Nash balance point is mentioned. Upon this,a theorem about the solution of the state feedback control is given,the Lyapunov stabilization of the nonlinear system under this control is proved,too. At the same time,this solution is used to design the nonlinear H2/H∞ guidance law of the relative motion between the missile and the target in three-dimensional(3D) space. By solving two coupled Hamilton-Jacobi partial differential inequalities(HJPDI),a control with more robust stabilities and more robust performances is obtained. With different H∞ performance indexes,the correlative weighting factors of the control are analytically designed. At last,simulations under different robust performance indexes and under different initial conditions and under the cases of intercepting different maneuvering targets are carried out. All results indicate that the designed law is valid.

Shifting balance from neurodegeneration to regeneration of the brain: a novel therapeutic approach to Alzheimer's disease and related neurodegenerative conditions

Neurodegeneration is one of the biggest public health problems in modern society. Age-associated neurodegeneration, which is accelerated several-fold in Alzheimer＇s disease （AD） alone, is not only an enormous social and economic burden to the affected in- dividuals and their families, but is also a great scientific challenge. Currently 25-35 million people worldwide suffer from AD, the single largest cause of dementia in middle- to old-aged individuals. These numbers are projected to triple by 2050 if no treatment to prevent or reverse AD is developed.

China-U.S. Trade Balance from the National Income Perspective

This paper calculates the China-U.S. trade balance from the national income perspective based on an input-output model that differentiates domestic and foreign-invested companies. The result shows that due to different degrees of dependence of both countries on foreign production factors such as foreign capital for the manufacturing of export goods,only 87.7% of the domestic value-added created by China's exports to the U.S. in 2012 was China's national income, whereas 96.2% of value-added in U.S. exports to China was U.S.national income. In the comparison of total export volume and export value-added, the home country's national income created by exports can more realistically reflect a country's gains from trade. In 2012, China's trade surplus with the U.S. stood at 102.8 billion US dollars in national income terms, which is 61% and 22% smaller than the results in gross and value-added terms, respectively. The implication is that the traditional trade balance accounting method seriously exaggerates the China-U.S. trade imbalance.

Fecal-associated microbiome differences between phlegm-dampness constitution and balanced constitution

Objective: This study aimed to explore the structural and functional characteristics of the fecalassociated microbiome(FAM) between the phlegm-dampness constitution(PDC) and balanced constitution(BC), and to screen the related specific operational taxonomic unit(OTU) biomarkers.Methods: This was a cross-sectional study. After strictly identifying the constitution of subjects, their clinical index was recorded and counted. Fecal samples were collected for 16S rDNA sequencing. Alpha diversity, beta diversity, and the relative abundance of dominant bacterial taxa were used to describe the FAM structure, and the Wilcoxon rank-sum test, Metagenome Seq, and linear discriminant analysis effect size(LEf Se) were used to screen specific bacterial taxa. Specific OTUs were screened to construct receiver operating characteristic(ROC) curves.Results: Thirty-two subjects were enrolled, including 22 subjects with BC and 10 subjects with PDC.There were significant differences in cold preference, levels of aspartate transaminase, β2-microglobulin,and creatine kinase MB, and alpha diversity indices(Shannon and Shannoneven) between the two groups. In principal coordinate analysis by abund-jaccard distance measure and partial least squares discriminant analysis, bacterial communities clustered separately between the two groups. Furthermore,based on Metagenome Seq, LEf Se, and the Wilcoxon rank-sum test, a total of 43, 18, and 130 OTUs were differentially distributed between BC group and PDC group, respectively, and OTU200, OTU133, and OTU353 were screened when P≤.01. The area under the ROC curve constructed from the 3 selected OTUs was 0.93.Conclusion: The FAM structure and related functional characteristics of the PDC group differed from those of the BC group. In particular, OTU200, OTU133, and OTU353 can be used as unique markers of PDC to assist clinical diagnosis.

Exploring Biocomplexity in Cancer: A Comprehensive Review

Living objects have complex internal and external interactions. The complexity is regulated and controlled by homeostasis, which is the balance of multiple opposing influences. The environmental effects finally guide the self-organized structure. The living systems are open, dynamic structures performing random, stationary, stochastic, self-organizing processes. The self-organizing procedure is defined by the spatial-temporal fractal structure, which is self-similar both in space and time. The system’s complexity appears in its energetics, which tries the most efficient use of the available energies;for that, it organizes various well-connected networks. The controller of environmental relations is the Darwinian selection on a long-time scale. The energetics optimize the healthy processes tuned to the highest efficacy and minimal loss (minimalization of the entropy production). The organism is built up by morphogenetic rules and develops various networks from the genetic level to the organism. The networks have intensive crosstalk and form a balance in the Nash equilibrium, which is the homeostatic state in healthy conditions. Homeostasis may be described as a Nash equilibrium, which ensures energy distribution in a “democratic” way regarding the functions of the parts in the complete system. Cancer radically changes the network system in the organism. Cancer is a network disease. Deviation from healthy networking appears at every level, from genetic (molecular) to cells, tissues, organs, and organisms. The strong proliferation of malignant tissue is the origin of most of the life-threatening processes. The weak side of cancer development is the change of complex information networking in the system, being vulnerable to immune attacks. Cancer cells are masters of adaptation and evade immune surveillance. This hiding process can be broken by electromagnetic nonionizing radiation, for which the malignant structure has no adaptation strategy. Our objective is to review the different sides of living complexity and use the knowledge to fight against cancer.

U-Type Designs via New Generalized Partially Balanced Incomplete Block Designs with <i>m</i>= 4, 5 and 7 Associated Classes

The traditional combinatorial designs can be used as basic designs for constructing designs of computer experiments which have been used successfully till now in various domains such as engineering, pharmaceutical industry, etc. In this paper, a new series of generalized partially balanced incomplete blocks PBIB designs with m associated classes (m = 4, 5 and 7) based on new generalized association schemes with number of treatments v arranged in w arrays of n rows and l columns (w ≥ 2, n ≥ 2, l ≥ 2) is defined. Some construction methods of these new PBIB are given and their parameters are specified using the Combinatory Method (s). For n or l even and s divisor of n or l, the obtained PBIB designs are resolvable PBIB designs. So the Fang RBIBD method is applied to obtain a series of particular U-type designs U (wnl;) (r is the repetition number of each treatment in our resolvable PBIB design).

Body Balance and Core Training in Parkinson’s Disease: A Longitudinal Crossover Study

Objective: The objective of this study was to verify the effects of two different training protocols based on Core Stability and Body Balance exercises in subjects with Parkinsons’s Disease. Methods: Eight elderly men with PD (age of 73 ± 9 years, weight 69 ± 16 kg, height 164 ± 13 cm, 2 ± 1 of Disability Score according to Hoehn and Yahr scale). The disability score was evaluated using Hoehn and Yahr scale. This study was 12-month-long organized in 3 blocks of 4 months each. The sample was divided in two groups formed by 4 subjects each group. During the first four months, one group performed core stability exercises (CSG) while the other group exercised itself through a Balance Exercises Program (BG). After this first part of the study both protocols were stopped for the following 4 months. Finally, the group were reversed (counter balance design) for the last 4 months of physical activity. The two groups were measured twice, before (T0) and after the treatment (T1). Both treatments were designed in order to investigate the improvement in core muscles performance in order to grant a better balance control and to reduce the risk of falling. Results: statistically significant variations were found in the flight time of Sit-to-Stand (p < 0.05, +27%) and in the step length (p < 0.05, ?3%). In the CSG group, statistically significant variations were detected in Speed of Steps (p < 0.05, +5%), Step Cadence (p < 0.05, +3%), and Left Stride Duration (p < 0.05, ?3%) (Table 1). Conclusion: Both Body Balance and Core training can be considered two good physical exercise methods for people with PD. This study highlights the positive effects of this training protocol on legs strength improvements and on the balance control while walking.

改进YOLOX-S的偏光片表面缺陷检测算法

偏光片是液晶显示器的重要组成部分,其表面缺陷不仅会降低液晶显示器的显示质量,甚至可能造成整个液晶面板的报废。针对偏光片表面缺陷存在尺度差异大、形状变化多样的问题,提出一种改进YOLOX-S的偏光片表面缺陷检测算法。提出自适应平衡特征金字塔(ABFP)模块充分融合主干网提取的多级特征,并通过单个卷积增加检测分支,进一步增强模型的多尺度检测能力。在ABFP中引入注意力模块CBAM关注重要特征。采用CIo U损失函数的同时使用Mish激活函数替代Si LU激活函数。实验结果表明,改进的算法在偏光片表面缺陷数据集上的m AP_(50)和m AP_(50:95)分别达到92.97%和55.16%,相比YOLOX-S(FPN)提升了1.86和1.34个百分点,每秒检测帧数(FPS)达到50,基本满足工业实时检测的需求。

An Analysis of China's Trade Balances with Other Countries and Regions

This article utilizes a large amount of statistical data to analyze the global distribution of foreign trade in China since 1990,as well as the factors involved and the changes in trends.The research results indicate that China has gained a favourable balance against developed countries and a disadvantageous balance against developing countries;China enjoys a trade surplus with North American and European countries while suffering deficits with those in the Asia.pacific region,as well as with resource-abundant Australia,Africa and South America. With regard to trends,the structure of China’s foreign trade will not undergo fundamental changes in the short term,but in the long run will be transformed in line with restructuring of the growth pattern.

Pro-Oxidant Antioxidant Balance in Inflammatory Bowel Disease

Background: Inflammatory bowel disease (IBD) is associated with increased morbidity and incident of colon cancer;however its etiology is still unclear. Currently, one of the most probable pathogenesis patterns is increased permeability of bowel membrane and it seems that oxidative stress plays an important role in this pathway. This study was done to assess the pro-oxidant antioxidant balance (PAB) in these patients. Materials: This was a cross sectional study of 2 groups including 50 patients with diagnosed IBD and 50 healthy controls. Patients were selected purposively from those referring to adult gastroenterology clinic in 2013. SPSS (ver11.5) has been. A P value < 0.05 was regarded as statistically significant. Results: Mean PAB in patients and controls group was 119.98 ± 38.98 HK unite and 52.67 ± 22.80 HK unite, respectively, (P value < 0.001). PAB mean in ulcerative colitis patients was 120.60 ± 33.90 HK unite and in CD patients was 118.20 ± 45.99 HK unite, and showed no significant difference (P value = 0.85). PAB and MDA could detect healthy subjects from IBD patients with sensitivity more that 90% and specificity more than 84%. Conclusion: PAB shifted to pro-oxidants in IBD patients;moreover this shift was unrelated to disease type. These tests could use as screening test.

Analysis Method for Predicting Strain in Interior Beds and Sub-Resolution Faults from Area Balance Theory in Extensional Basins

Extensional basins include mainly grabens and half grabens displaced along alower detachment. Based on area balance theory, there is a linear relationship between a height ofregional and the lower detachment h on the outside of the basin and 'lost area S' from the regionalin the basin. The pre-growth beds above lower detachment are of the same extensional displacement sothat an 'S-h diagram' can be used to determine the depth to lower detachment and to calculate thetotal extensional displacement of the beds above the lower detachment. The extensional displacementis dominated by the heave of various scale normal faults. The displacement of obvious faults can beimmediately figured out from the measured bed-length. The requisite extension calculated by areabalance is the layer-parallel strain, which could be accommodated by displacement on sub-resolutionfaults. Accordingly, the layer-parallel strain can help us predict the magnitude and distribution ofsub-resolution faults on the basis of analysis of the structural style and rheological behavior.

基于随机理论的Nash单位线研究

应用随机理论对Nash单位线进行分析研究,把模型参数α看作是随机变量,推导出Nash随机S曲线的公式并应用于沿渡河流域的汇流计算中。应用这种方法模拟降雨径流过程能同时给出出流过程均值和方差。

基于T-S模糊建模思想的一类双人非线性非合作微分博弈的Nash均衡解

基于T-S模糊建模思想,利用T-S模糊建模方法,将一类双人非线性非合作微分博弈问题的模型转化为一个局部线性、整体非线性的T-S模糊系统,再利用其局部线性的特点,求出原问题的Nash均衡解的形式.

群体博弈Nash平衡的存在性

本文主要给出了群体博弈中Nash平衡等价定义的证明,利用Brouwer不动点定理证明了群体博弈Nash平衡的存在。关键词:群体博弈,Nash平衡。

Nash Embedding of Witten’s M-Theory and the Hawking-Hartle Quantum Wave of Dark Energy

Euclidean embedding of the 11-dimensional M-theory turned out to require a very large space leaving lavish amounts of 242 dimensional pseudo truly empty “regions” devoid of space and time and consequently of anything resembling ordinary physical energy density. It is shown here using Nash embedding that the ratio of “solid” M-theory spacetime to its required embedding “non-spacetime” is 1/22 for a classical theory and 1/22.18033989 for an analogous fractal theory. This then leads to a maximal ordinary energy density equation equal to that of Einstein’s famous formula E=mc2 but multiplied with in full agreement with previous results obtained using relatively more conventional methods including running the electromagnetic fine structure constant in the exact solution of the hydrogen atom. Consequently, the new equation corresponds to a quantum relativity theory which unlike Einstein’s original equation gives quantitative predictions which agree perfectly with the cosmological measurements of WMAP and the analysis of certain supernova events. Never the less in our view dark energy also exists being the energy of the quantum wave amounting to 95.5 present of the total Einstein theoretical energy which is blind to any distinction between ordinary energy of the quantum particle and the dark energy of the quantum wave. However, since measurement leads to the collapse of the Hawking-Hartle quantum wave, dark energy being a quantum wave non-ordinary energy could not possibly be measured in the usual way unless highly refined quantum wave non-demolition technology is developed if possible. It is a further reason that dark energy having a different sign to ordinary energy is the cause behind the anti gravity force which is pushing the universe apart and accelerating cosmic expansion. Consequently it can be seen as the result of anticlastic Cartan-like curvature caused by extra compactified dimensions of spacetime. A simple toy model demonstration of the effect of curvature in a “material” space is briefly discussed.

NASH EQUILIBRIA WITHOUT CONTINUITY OF THE CHOICE RULES

The proposal in Alcantud and Alo′s-Ferrer [1], where players that express their tastes according to choice rules facing a competitive situation, is further exploited here. We prove that, under lack of continuity of the choice rules it is also possible to ensure the existence of equilibrium. We shall appeal to general situations that are fulfilled by well-established models, where players have non-transitive preferences of various types.

Polynomial Time Method for Solving Nash Equilibria of Zero-Sum Games

There are a few studies that focus on solution methods for finding a Nash equilibrium of zero-sum games. We discuss the use of Karmarkar’s interior point method to solve the Nash equilibrium problems of a zero-sum game, and prove that it is theoretically a polynomial time algorithm. We implement the Karmarkar method, and a preliminary computational result shows that it performs well for zero-sum games. We also mention an affine scaling method that would help us compute Nash equilibria of general zero-sum games effectively.