Analysis of Carleman Linearization of Lattice Boltzmann

We explore the Carleman linearization of the collision term of the lattice Boltzmann formulation, as a first step towards formulating a quantum lattice Boltzmann algorithm. Specifically, we deal with the case of a single, incompressible fluid with the Bhatnagar Gross and Krook equilibrium function. Under this assumption, the error in the velocities is proportional to the square of the Mach number. Then, we showcase the Carleman linearization technique for the system under study. We compute an upper bound to the number of variables as a function of the order of the Carleman linearization. We study both collision and streaming steps of the lattice Boltzmann formulation under Carleman linearization. We analytically show why linearizing the collision step sacrifices the exactness of streaming in lattice Boltzmann, while also contributing to the blow up in the number of Carleman variables in the classical algorithm. The error arising from Carleman linearization has been shown analytically and numerically to improve exponentially with the Carleman linearization order. This bodes well for the development of a corresponding quantum computing algorithm based on the Lattice Boltzmann equation.

INFORMATIVE VALUE OF COMPUTER STABILOMETRY IN THE DIAGNOSIS OF VIBRATION DISEASE FROM THE EFFECTS OF GENERAL VIBRATION

A statistical analysis of stabilometric study results of 50 male patients with vibration disease (VD) from the effects of general vibration (GV) (average work experience 26,7±6,2) has been carried out. The control group (CG) included 50 men who have not been exposed to the general vibration. The compared groups were comparable by age: the average age of patients with vibration disease was 56.34+5.15, patients of the control group-58.22+-7.05. The study of the support symmetry and equilibrium function was carried out using the Romberg test on the St-150 stabiloplatform (Biomera, Moscow) in a vertical stand with European installation of feet in the positions of open (OE) and closed eyes (CE). A comparative analysis of the parameters of support symmetry in patients with VD from GV revealed a statistically significant sagittal asymmetry in the phases of OE and CE than in individuals of CG. Among the balancing parameters, the most informative parameters of computer stabilometry in patients with VD from GV were: an increase in the area of the statokinesiogram, a decrease in energy efficiency in both phases of the study, and an increase in the speed of the statokinesiogram in phase with CE. Computer stabilometry can be recommended as an additional objective research method in the diagnosis of early stages of VD from GV to improve the quality of periodic medical examinations.

Triple Semicircular Canal Occlusion Combined with Endolymphatic Sac Decompression: An Effective Surgical Strategy for Vertigo Control of Intractable Meniere’s Disease

Objective: To investigate the symptomatic relief and functional preservation of a novel surgical strategy combined with triple semicircular canal occlusion and endolymphatic sac decompression in patients with intractable Meniere’s disease. Design: Retrospective analysis. Setting: Patients with intractable Meniere’s disease in the Department of Otolaryngology Head & Neck in the Second Affiliated Hospital of Nanchang University between July 2015 and June 2019. Participants: Data from 46 patients diagnosed with Meniere’s disease, and underwent surgery Methods: Triple semicircular canal occlusion combined with endolymphatic sac decompression was performed in all patients with intractable Meniere’s disease. Pre- and postoperative vertigo attacks, hearing levels, tinnitus, aural fullness, and equilibrium function rehabilitation were analyzed at defined time points during follow-up. Results: A significant vertigo control rate was observed in all patients postoperatively. The overall control rate of vertigo postoperatively was 100% in the entire follow-up, with a complete control rate of 97.8% and a substantial control rate of 2.2%. The rate of hearing preservation was 54.35%, and all patients suffering from hearing deterioration were at stages III and IV. The rate of tinnitus and aural fullness alleviation was 65.8% and 100%, respectively. Four patients failed to regain the equilibrium function postoperatively. Conclusion: Combining triple semicircular canal occlusion with endolymphatic sac decompression is an efficient strategy for vertigo control in patients with intractable Meniere’s disease. Patients in advanced stages suffered more from hearing function deterioration. Hearing preservation and tinnitus alleviation warrant further investigation.

CORRECTIONAL STRATEGY AND TACTICS OF EQUILIBRIUM DISORDERS OVERCOMING OF PRESCHOOLERS

The article describes planning system features of corrective actions for the balance function formation in preschool children with musculoskeletal system disorders. The analysis of the existing planning approaches of physical education and physical rehabilitation is made: the insufficiency of the substantiated scientific methodological bases in planning of corrective actions for balance function improvement in preschool children with musculoskeletal system disorders is found out. The general principles of adaptive physical education planning of preschoolers with musculoskeletal disorders are considered. On this basis, a method of step-by-step planning of equilibrium function purposeful formation was developed, which reflects the logic of five channels stimulating of the postural aplomb system and takes into account the peculiarities of postural deficit in each case. Conclusions present the algorithm of corrective actions planning system, which improves balance function of the specified children category. Research prospects of effective ways of postural deficit overcoming of preschool children with musculoskeletal system disorders are briefly marked.

A Reinsurance and Investment Game between Two Insurers under the CEV Model

In this paper, the problem of nonzero-sum stochastic differential game between two competing insurance companies is considered, i.e., the relative performance concerns. A certain proportion of reinsurance can be taken out by each insurer to control his own risk. Moreover, each insurer can invest in a risk-free asset and risk asset with the price dramatically following the constant elasticity of variance (CEV) model. Based on the principle of dynamic programming, a general framework regarding Nash equilibrium for nonzero-sum games is established. For the typical case of exponential utilization, we, respectively, give the explicit solutions of the equilibrium strategy as well as the equilibrium function. Some numerical studies are provided at last which assist in obtaining some economic explanations.

Assessment of anxiety and postural balance in strategy for health care for elderly women

Introduction. The relevance of the study is determined by the tasks set in the National Project “Demography” (Federal Project “Senior Generation”), and consists in the need for registration of functional characteristics of the organism of older age groups in the accounting system of measures to preserve their health.Aim of the study is to establish the characteristics of anxiety and components of the postural balance (CPB) in elderly women with the risk of recurrent falls.Material and methods. We examined 232 women aged 55-69 years who reported that they experienced two or more falls over the past 12 months. The first age group included women whose calendar age was in the range of 55-64 years (n = 72), the second - women aged 65-69 years (n = 160). Using the self-assessment diagnostic technique by Spielberger, Ch. D., and Khanin, Yu. L. we determined the level of situational (SA) and personal (PA) anxiety. To assess the features of the CPB, a US-manufactured computerized dynamic posturography complex Smart Equitest Balance Manager was used. Sensory Organization Test (SOT) and Motor Control Test (MCT) tests were conducted. Results. When analyzing anxiety scale values, a high level of PA was revealed in both groups of women, however, the SA indices in women 55-64 years old were lower than for women 65-69 years old (p = 0.005). All this indicates that the development of recurrent falls among women older 64 years will be accompanied by mental tension and pronounced emotional responses to postural changes. According to computerized dynamic posturography testing, age-related differences in CPB have been revealed. There was a decrease in the quality of the equilibrium function by test 5 SOT and vestibular information in postural control found in women of age group 55-64, whereas for women in the age group 65-69 there was a decrease in the quality of equilibrium function by test 4 and visual information in balance control. In the latter, there was also found an increase in the time of coordinated motor response by the test of unexpected external impact on the shift of the center of gravity capable of enhancing the risks of stuttering and falls when walking fast.Conclusion. The suggested criteria for assessing the risk of falls in elderly women can be used to develop individual health programs to prevent serious consequences in such events.

Elliptic Flow of Hadrons via Quark Coalescence Mechanism Using the Boltzmann Transport Equation for Pb+Pb Collision at sNN=2.76 TeV

Elliptic flow of hadrons observed at relativistic heavy ion collision experiments at relativistic heavy ion collider (RHIC) and large hadron collider (LHC) provides us an important signature of possible deconfinement transition from the hadronic phase to partonic phase. However, hadronization processes of deconfined partons back into final hadrons are found to play a vital role in the observed hadronic flow. In the present work, we use a coalescence mechanism also known as recombination (ReCo) to combine quarks into hadrons. To get there, we have used the Boltzmann transport equation in relaxation time approximation to transport the quarks into equilibration and finally to freeze-out the surface, before coalescence takes place. A Boltzmann-Gibbs blast wave (BGBW) function is taken as an equilibrium function to get the final distribution and a power-like function to describe the initial distributions of partons produced in heavy ion collisions. In the present work, we try to estimate the elliptic flow of identified hadrons such as π, K, and p, produced in Pb+Pb collisions at sNN=2.76 TeV at the LHC for different centralities. The elliptic flow (v2) of identified hadrons seems to be described quite well in the available pT range. After the evolution of quarks until freeze-out time has been calculated using BTE-RTA, the approach used in this paper consists of combining two or more quarks to explain the produced hadrons at intermediate momenta regions. The formalism is found to describe the elliptic flow of hadrons produced in Pb+Pb collisions to a large extent.

The role of posturography on the initial stage of sports training

One of the main directions in the wrestlers training on the initial stage of sports training is the formation of the wrestler’s motion coordination abilities. Equilibrium function and anthropometric data including wrestler’s gender have essential differences in connection both with the child’s biological specialities and choosen athletic discipline special aspects. This research is focused on comparsion of variations in kinetic postural control affected by the lassitude among young athletes and non-athletes. 16 girl childs - freestyle wrestlers participates in this research. They are on initial stage of sports training. The control group consisted of 14 girl childs irrelevant to sports. There was made a hypothesis that the wrestlers lassitude can be measured subjectively (with the Borg scale) and objectively (with the stabilometrics), and that the wrestlers will better control their body position than the girls irrelevant to sports. Tecnobody Pro-Kin stabilometric platform was used to measure postural balance. There was determined statistically significant positive relationship of the investigated parameters changes between groups. As a result of the research we can make a conclusion that the offered method can provide reliable data concerning wrestler’s lassitude level. Analogues data are received with the rating of perceived exertion by Borg’s scale. As the result we can conclude that the offered postural balance research method is valid for the wrestler’s lassitude rating and can be used as a component of the complex athletes control system.

CORRECTIVE STRATEGY AND TACTICS OF OVERCOMING IMPAIRED BALANCE IN PRESCHOOLERS.

The article reveals the system features of planning corrective measures for the formation of the balance function of preschool children with musculoskeletal system disorders. The innovative planning concept implies a harmonious combination of a correction strategy, that should be responsible for the long-term vector of achieving the desired target result, with the corrective tactics of overcoming specific children’s disorders. The strategy reflects a constant component of the correction process and is relatively unchanged, whereas the corrective tactic is based on the variability of individual planning, followed by appropriate methodological support for the implementation of this program for a particular child. The author analyzes the existing approaches in the planning physical education and physical rehabilitation. The analysis revealed the insufficient methodological foundations for the planning of corrective measures to improve the balance function in preschool children with musculoskeletal system disorders. The general principles of planning adaptive physical education for preschool children with musculoskeletal system disorders are considered. The general planning principles (phylogenetic principle, age, calendar, intra-cycle, repetition, the principle of "steps") of adaptive physical education for preschool children with musculoskeletal system disorders were revealed, they were proposed in the technique of N.Efimenko and P.Bochkov. On this basis, a methodology for the phased planning of the targeted formation of the equilibrium function was developed, which reflects the logic of stimulating the five channels of the postural aplomb system and takes into account the peculiarities of postural deficiency in each case. In the conclusions the algorithm of the system for planning correctivee measures to improve the balance function in this category of children is presented. The prospects for research of effective ways of overcoming the postural deficiency in children with musculoskeletal disorders is outlined.

POSTURAL STABILITY IN PATIENTS WITH LATENT TRIGGER ZONES OF NECK MUSCULATURE

There are many reasons for postural disorder development, but dysfunction of the cervical spine muscles is the most disputable reason. The purpose of the study is to reveal the influence of latent myogenic trigger zones of the cervical muscles on postural resistance. Materials and Methods. The authors used the method of computer posturography. Latent myogenic trigger zones (LMTZs) were determined by an indurated nodule or bundle in the neck muscle and by hyperesthesia in this zona. Assessment of postural resistance in subjects with LMTZs was carried out using standard posturography tests and Romberg test. Both classical and vector indicators were evaluated in a standard sample. Results. In fact, only vector indicators changed significantly in subjects with multiple LMTZs (4 or more). Thus, a decrease in the equilibrium function quality was established, as well as an increase in the average linear velocity of the pressure center and an increase in the normalized vectorogram area if compared with the indices in the control group and the group with sporadic LMTZs (from 1 to 3). The obtained results indicate a postural control decrease in individuals with multiple LMTZs. Subjects with sporadic LMTZs demonstrated a significant decrease in classical and a number of vector indicators, which shows the improvement in postural resistance in this test group. In Romberg test, all subjects with LMTZs, regardless of the zone number, showed an increasd Romberg coefficient. Conclusion. Multiple LMTZs of cervical muscles can reduce postural stability through increased afferentation from the cervical proprioreceptors. It is more obvious during in case of eye control elimination. Keywords: latent myogenic trigger points, postural control, posturography, Romberg test. Выделяют множество причин развития постуральных нарушений, среди которых дисфункция мышц шейного отдела позвоночника является наиболее спорной. Цель исследования. Выявить влияние латентных миогенных триггерных зон шейной мускулатуры на постуральную устойчивость. Материалы и методы. Использовался метод компьютерной стабилографии. Латентные миогенные триггерные зоны (лМТЗ) определялись по наличию в мышце шеи уплотненного узелка или пучка и по повышенной болевой чувствительности в этой области. Оценка постуральной устойчивости у испытуемых с лМТЗ осуществлялась с помощью стандартного стабилографического тестирования и теста Ромберга. В стандартной пробе оценивались как классические, так и векторные показатели. Результаты. Показано, что у испытуемых с множественными лМТЗ (4 и более) достоверно изменяются только векторные показатели. Так, установлено снижение качества функции равновесия, а также повышение средней линейной скорости центра давления и увеличение нормированной площади векторограммы по сравнению показателями в группе контроля и группе с единичными лМТЗ (от 1 до 3), что указывает на снижение постурального контроля у лиц с множественными лМТЗ. У испытуемых с единичными лМТЗ отмечено достоверное снижение классических показателей и ряда векторных, что свидетельствует об улучшении постуральной устойчивости в данной группе испытуемых. В пробе Ромберга все субъекты с лМТЗ независимо от количества последних показали повышение коэффициента Ромберга. Выводы. Множественные лМТЗ шейной мускулатуры могут снизить постуральную устойчивость через усиление афферентации от шейных проприорецепторов, что наиболее выражено при элиминации зрительного контроля. Ключевые слова: латентные миогенные триггерные точки, постуральный контроль, стабилография, тест Ромберга.