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نتیجه جستجو - Math

تعداد مقالات یافته شده: 386
ردیف عنوان نوع
61 Computational analysis of NIRS and BOLD signal from neurovascular coupling with three neuron-system feedforward inhibition network
تجزیه و تحلیل محاسباتی سیگنال های NIRS و BOLD از اتصال جفت عصبی عروقی با سه شبکه مهار کننده تغذیه ای سیستم عصبی-2020
Several neurological disorders occur due to hypoxic condition in brain arising from impairment of cere- bral functionality, which can be controlled by neural stimulation driven vasoactive response mediated through biological response in astrocyte, a phenomenon known as neurovascular coupling. Brain can ad- just with the problem of hypoxic condition by causing vasodilation with the help of this mechanism. To deduce the mechanism behind vasodilation of blood vessel caused by neuronal stimulus, current study articulates a mathematical model involving neuronal system feedforward inhibition network model (FFI) with two other functional components of neurovascular coupling, i.e. astrocyte and smooth muscle cell lining blood vessel. This study includes the neural inhibition network system where glutamatergic pyra- midal neuron and GABAergic interneuron act antagonistically with each other. The proposed model suc- cessfully includes the implication of the inhibition system to design mathematical model for neurovas- cular coupling. Result of the proposed model shows that the increase in neuronal stimulus from 20 to 60 μA/cm 2 has the ability to increase the vasodilatory activity of blood tissue vasculature. Oxygenation level and hemodynamic response due to input synaptic stimulation has been calculated by regional cere- bral oxygenation level (rS0 2 ) and blood oxygen level dependent (BOLD) imaging signal which supports vasodilation of blood vessel with increase in synaptic input stimulus.
Keywords: Neurovascular coupling unit | Hodgkin-Huxley model | Neurotransmitter | Feedforward-inhibition network | Regional cerebral oxygen saturation
مقاله انگلیسی
62 Laws carbonite friction VK8 solid alloy in water environment
قانون اصطکاک کربنیت VK8 آلیاژ جامد در محیط آب-2020
Implemented research of laws carbonite friction solid alloy VK8 in the water environment due to the need to clarify and complement the existing mathematical models of friction. Developed and used the method of physical modeling of friction on a ‘‘plane - a plane,” the use of which allows testing of parts of friction units, in particular support washers impellers of centrifugal pumps. Established analytical dependence of the frictional force carbonite solid alloy VK8 in water medium from the time when a normal load changing stepwise, first introduced in the form of a sigmoidally-step function. A mathematical model of the dependence of the frictional force carbonite solid alloy VK8 in water medium from normal load combining classical formula Amontons and Coulomb’s binomial formula. Implemented analysis the mathematical model developed frictional force depending on the normal load using elements molecular theory academic friction B.V. Deryagina.
Keywords: Frictional wear | Carbonite solid alloy | Friction machine | Modeling friction methods | Friction tests | VK8 | Frictional mathematical model
مقاله انگلیسی
63 Second law analysis on performance of double stage reciprocating air compressor with inter cooler
تجزیه و تحلیل قانون دوم در مورد عملکرد کمپرسور هوا برگشت پذیر دو مرحله ای با کولر -2020
Nowadays compressors are playing a major role in many processing industries, manufacturing industries and power sector. At many cases, the compressors are the ultimate comprehensive one on energy consumption in industries. The major grievance of the compression process is heating effect of air compression process which leads to ineffective compression and constant air supply. Many researchers are showing interest to increase the performance of air compressors. Optimizing the suitable designs, working parameters and fluid properties are the three main ways for improving the performance of air compressors. Energy and second law efficiency analysis are the necessary one to recognize the important of energy consumption and conservation. For analysing the performance of the air compressor it is mandatory to measure the working parameters such as pressure, temperature, mass flow rate of air, speed of the compressor and electrical input power. Since the measurementation and instrumentation is playing a vital influence on the performance of air compressor. Therefore investigating the error on instrumentation and its influence on performance of air compressor is compulsory to regulate the eminence of experimental set-up. And these error factors will designate the effect of the uncertainty cause on the performance of air compressor. Uncertainties are significant in all experimental dealings and must be measured throughout the various points of an experimental analysis. In this research work, a study on energy, second law uncertainty efficiency and analysis were done in a double stage reciprocating air compressor with inter cooler setup which is located in Sathyamangalam, Tamilnadu, India. Based on the local ambient conditions and required output for various applications were taken for this performance analysis of double stage reciprocating air compressor with inter cooler. The discharge pressure from the double stage compression is varied from 3 bar to 7 bar. For the corresponding output pressure, first law and second law efficiency of the system was calculated. For the fixed mass flow rate of air the calculated first law efficiency of the system varies from 38% to 64% and second law efficiency of the system varies from 57% to 67%. For the corresponding pressure ratios the uncertainty on the performance of air compressor based on the first law and second law analysis were mathematically modelled. Based on the model the uncertainty on the performance of compressor were found for the error of 0.1%, 0.2%, 0.3%, 0.4%, 0.5%, 1%, 2% in all the instruments and it was discussed in the result.
Keywords: Energy | First law efficiency | Second law efficiency | Pressure ratio | Work done | Uncertainty
مقاله انگلیسی
64 Data-driven switching modeling for MPC using Regression Trees and Random Forests
مدل سازی سوئیچینگ داده محور برای MPC با استفاده از درختان رگرسیون و جنگل های تصادفی-2020
Model Predictive Control is a well consolidated technique to design optimal control strategies, leveraging the capability of a mathematical model to predict a system’s behavior over a time horizon. However, building physics-based models for complex large-scale systems can be cost and time prohibitive. To overcome this problem we propose a methodology to exploit machine learning techniques (i.e. Regression Trees and Random Forests) in order to build a Switching Affine dynamical model (deterministic and Markovian) of a large-scale system using historical data, and apply Model Predictive Control. A comparison with an optimal benchmark and related techniques is provided on an energy management system to validate the performance of the proposed methodology.
Keywords: Regression Trees | Random Forests | Model predictive control | Switching systems | Markov Jump Systems
مقاله انگلیسی
65 A comparative analysis of flow features of Newtonian and power law material: A New configuration
تجزیه و تحلیل مقایسه ای از ویژگی های جریان مواد نیوتن و قانون قدرت: پیکربندی جدید-2020
In recent years, material analysis of fluids has generated prodigious interest of researchersdue to their effective role in interdisciplinary sciences. In view of its importance, the presentcommunication is devoted to analyze the flow of power law fluid representing the fea-tures of shear thinning, shear thickening and Newtonian materials. Constitutive equationsexpressed in the form of tensorial representations depicting power law relation betweenviscosity and shear rate. The whole mathematical model is solved computationally via offinite element method by using stable P2− P1finite element pair. A highly refined hybridmesh is obliged for the accurate computation of results. Material properties of power lawfluid are disclosed in physical configuration renowned as channel driven cavity combiningvarious benchmark problems like cavity flow, forward and backward facing steps and chan-nel flow. Impact of material parameters on pertinent profiles is disclosed through graphs.Verification of computed results is done by comparing the velocity, viscosity, pressure fieldsfor power law fluid with the Newtonian case.
Keywords: Finite element method | Power-law fluid | Channel driven cavity | Shear thinning and shear thickening
مقاله انگلیسی
66 CFD analysis for characterization of non-linear power law material in a channel driven cavity with a square cylinder by measuring variation in drag and lift forces
تجزیه و تحلیل CFD برای توصیف مواد قانون قدرت غیر خطی در حفره کانال هدایت شده با یک سیلندر مربع با اندازه گیری تغییر در نیروهای درگ و بالابر-2020
Current communication is manifested to investigate flowing features of power law mate-rial in a newly proposed physical configuration namely the channel driven cavity. Sincepower law fluid discloses the dynamical features of shear thinning, shear thickening andNewtonian materials so in present communication it is considered for depiction of flowattributes. To achieve the desired outcomes from the work, a unit length cavity is placedbelow the channel. The flow is induced with parabolic inlet velocity and a Neumann condi-tion is applied at the outlet, while no slip condition is set at all other boundaries. A squarecylinder is placed in the channel with varying positions giving rise to three computationalgrids named as G1, G2and G3.Mathematical modelling is constructed by obliging funda-mental conservation and rheological laws for power law fluid. Since the representativeequations are complex in nature so an efficient computational procedure based on finiteelement method (FEM) is executed. A hybrid computational grid is generated at coarse leveland then further refinement is done to improve the accuracy of the solution. The solution isapproximated by adopting P2− P1element based on second and first order polynomial shapefunctions. Graphical trends against involved parametric variables are adorned. In additionfor more physical insight of problem velocity and pressure plots and line graphs are added.Furthermore, the hydrodynamical benchmark quantities like pressure drop, drag and liftcoefficients are evaluated in tabular form around the outer surface of obstacle.
Keywords:Finite element method | Power law materia | lDrag and lift coefficients| Channel-driven cavity
مقاله انگلیسی
67 Collaborative AI and Laboratory Medicine integration in precision cardiovascular medicine
یکپارچه سازی هوش مصنوعی و داروی آزمایشگاهی در پزشکی دقیق قلب و عروق-2020
Artificial Intelligence (AI) is a broad term that combines computation with sophisticated mathematical models and in turn allows the development of complex algorithms which are capable to simulate human intelligence such as problem solving and learning. It is devised to promote a significant paradigm shift in the most diverse areas of medical knowledge. On the other hand, Cardiology is a vast field dealing with diseases relating to the heart, the circulatory system, and includes coronary heart disease, cerebrovascular disease, rheumatic heart disease and other conditions. AI has emerged as a promising tool in cardiovascular medicine which is aimed in augmenting the effectiveness of the cardiologist and to extend better quality to patients. It has the ability to support decision‑making and improve diagnostic and prognostic performance. Attempt has also been made to explore novel genotypes and phenotypes in existing cardiovascular diseases, improve the quality of patient care, to enable cost-effectiveness with reduce readmission and mortality rates. Our review addresses the integration of AI and laboratory medicine as an accelerator of personalization care associated with the precision and the need of value creation services in cardiovascular medicine.
Keywords: Artificial intelligence | Cardiology | Laboratory | Biomarkers | Data | Machine learning | Personalized
مقاله انگلیسی
68 Weathering of ignitable liquids at elevated temperatures: A thermodynamic model, based on laws of ideal solutions, to predict weathering in structure fires
هوازدگی مایعات قابل اشتعال در دماهای بالا: مدل ترمودینامیکی ، براساس قوانین راه حلهای ایده آل ، برای پیش بینی هوازدگی در آتش سوزی سازه-2020
This manuscript provides experimental evidence and a strong theoretical basis that weathering at elevated temperatures (up to 210 °C) results in significantly different distributions of the weathered residues compared to room temperature weathering, especially when the extent of weathering is held constant. A nine-component artificial gasoline mixture enabled quantitative comparisons between the residues predicted by a mathematical model and those measured in temperature-controlled evaporations. The simple mathematical model employs iterative fractional losses (e.g. 5% each step) of the mixture components in proportion to their theoretical partial pressures. The partial pressures of the constituents are determined using either: 1) Raoult’s law and Antoine constants from the literature, or 2) Henry’s law. The model supports the experimental observations in that the composition of weathered residues as a function of time—or extent of weathering—is significantly different at different temperatures. For example, toluene falls below the limits of detection at 90% weathering and 30 °C but is still readily observable at ~1% of the total ion chromatogram (TIC) at 98% weathering and 210 °C. Such behavior could help explain why ignitable liquids that are highly weathered at elevated temperatures in structure fires are likely to resemble those weathered in the laboratory to a lesser extent at room temperature. Given a chromatogram of a pristine ignitable liquid, the model based on Raoult’s law predicts the peak area of each weathered compound with a root mean squared error of prediction (RMSEP) of ~3% when the liquid is weathered up to 98% and 210 °C.
Keywords: Fire debris | Ignitable liquids | Weathering | Evaporation
مقاله انگلیسی
69 AI- modelling of molecular identification and feminization of wolbachia infected Aedes aegypti
مدل سازی هوش مصنوعی شناسایی مولکولی و مونی سازی wolbachia infected Aedes aegypti-2020
Background: The genetic control strategies of vector borne diseases includes the replacement of a vector population by “disease-refractory” mosquitoes and the release of mosquitoes with a gene to control the vectors reproduction rates. Wolbachia are common intracellular bacteria that are found in arthropods and nematodes. Wolbachia infected male mosquitos have been used in different experimental trials around the world to suppress the target population of Aedes aegypti and this genetic control strategy has proved to be a promising alternative to other treatment strategies. Due to certain limitations, the successful application of this strategy is still awaited. Methods: Mathematical frame work for Wolbachia induced genetic control strategy has been developed in this article. With the aid of Artificial Intelligence (AI) tools, accurate parametric values are depicted. For the first time, the model is well synchronized with the experimental findings. The model is comprised of the generalized varying coefficient and multiple mating rates between infected and uninfected compartments of Aedes aegypti dengue to forecast the disease control. Results: Two mathematical models are developed in this article to demonstrate different mating rates of the genetic control strategy. The important parameters and time varying coefficients are well demonstrated with the aid of numerical computations. The resulting thresholds and forecasting may prove to be a useful tool for future experimental studies. Conclusions: From our analysis, we have concluded that the genetic control strategy is a promising technique and the role of Wolbachia infected male mosquitos, in genetic control strategies, can be better interpreted in an inexpensive manner with the aid of a theoretical model.
Keywords: Dengue reproduction inhibition | Genetic control | Dynamical analysis | Kinetic modelling | Numerical simulations
مقاله انگلیسی
70 Review on industrial mathematics and materials at Industry 1:0 to Industry 4:0
بررسی ریاضیات و مواد صنعتی در صنعت 1:0 تا صنعت 4:0-2020
Industrial Evolution is a most important part of the development of the World. From the 18th Century itself, Industrial evolution growth has to be increased. But yet now Industries faces a lot of challenges. Facing Challenges on Production-Distribution Planning in Supply Chain Management, uncertain business environment. An industrial mathematics tool helps to improve the efficiency of the industry operation. So here paper review on Industrial revolution with Impact of Industrial mathematics and Materials and How Industrial mathematics and materials develop Smart industries to meet customer need for an uncertain business environment future.© 2019 Elsevier Ltd. All rights reserved. Selection and peer-review under responsibility of the scientific committee of the International Conference on Nanotechnology: Ideas, Innovation and Industries.
Keywords: Industry Mathematics | Industry Materials | Industrial Evolution | Manufacturing | Production | Intelligence system
مقاله انگلیسی
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