scholarly journals The Relationship of Sodium and Potassium Conductances with Dynamic States of a Mathematical Model of Electrosensory Pyramidal Neurons

2016 ◽  
Vol 07 (09) ◽  
pp. 819-823 ◽  
Author(s):  
Takaaki Shirahata
Keyword(s):  
Mathematical Model ◽  
Pyramidal Neurons ◽  
Potassium Conductances ◽  
Relationship Of ◽  
The Relationship ◽  
Sodium And Potassium ◽  
Dynamic States

scholarly journals Relation between swine weight and morphometric measurements

2020 ◽  
Vol 9 (9) ◽  
pp. e891998013
Author(s):  
Mônica Calixto Ribeiro de Holanda ◽  
Marco Aurélio Carneiro de Holanda ◽  
Leandro Ricardo Rodrigues de Lucena
Keyword(s):  
Mathematical Model ◽  
Body Weight ◽  
Regression Models ◽  
Hip Circumference ◽  
Morphometric Measurements ◽  
Large White ◽  
Male And Female ◽  
Lactation Phase ◽  
Relationship Of ◽  
The Relationship

Objective was to define a mathematical model that better explain the relationship of the animals weight depending not only on the animals age but also on the animals morphometric measurements. 40 piglets, half Duroc-Large White blood, were used, 20 males and 20 females, from 3 to 35 days of age (lactation phase) initially weighing 1.518 ± 0.121 kg and from 36 to 66 days of age (calving phase) with a body weight of 7.010 ± 0.704 kg. The animals were weighed weekly on a digital balance. The relationship of animal weight, age and morphometric measurements of male and female piglets were performed using regression models: existing, linear and power. The models were evaluated according to nine criterialinear model was the most adequate to explain the weight of male pigs, while for female pigs was the power. The age of the pig, the shank and palette length, as well as the circumference of the shank jointly explain the weight of the male piglets. The weight of females is explained jointly by age, body length, thorax and hip circumference.

Establishment of Relatively Unified Mathematical Model for Spiral Surface Based on Movement Characteristics of Particle

2010 ◽  
Vol 455 ◽  
pp. 1-5
Author(s):  
L.Z. Song ◽  
S.L. Guo ◽  
Chun Jiang Xiang ◽  
Qi Hong
Keyword(s):  
Mathematical Model ◽  
Surface Shape ◽  
Movement Characteristics ◽  
Spiral Surface ◽  
Relationship Of ◽  
First Time ◽  
The Relationship

From the viewpoint of the forming principle of spiral curve and classification from the kinematics, established relatively unified mathematical model of spiral curve based on the movement characteristics of particle and the forming principle of space surface shape, and in turn relying on relatively unified mathematical model of spiral curve, combined the similarity of forming movement between spiral curve and spiral surface, derived the relatively unified mathematical model of spiral surface with the concept of sequence of operator presented for the first time. The relatively unified mathematical model has been validated that it not only expressed the relationship of movement synthesis for commonly spiral surface’s forming movement, but also depicted new spiral surface to be required or named through changing parameters.

Study on High Frequency Hydraulic Exciter Based on Rotary Valve Control

2012 ◽  
Vol 490-495 ◽  
pp. 1441-1445 ◽  
Author(s):  
Jian Zhuo Zhang ◽  
Li Zhe Guan ◽  
Kang Kang Li
Keyword(s):  
Mathematical Model ◽  
High Frequency ◽  
Rotary Valve ◽  
Exciting Frequency ◽  
Working Principle ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Valve Control

A kind of hydraulic exciter based on rotary valve control was studied in this paper, the composition of the exciter and its working principle were introduced, and the mathematical model of the system was established. The characters of the system were simulated using MATLAB. From the results of the simulation, we get the relationship of the amplitude of Vibration oil cylinder between the system’s pressure and the exciting frequency. The results can provide theoretical bases to design the hydraulic exciter.

Shaping Law and Motion Design in NC-ECM under Effect of Twiste Angle

2011 ◽  
Vol 128-129 ◽  
pp. 1010-1014
Author(s):  
Rui Wu ◽  
Dan Wen Zhang ◽  
Juan Sun
Keyword(s):  
Mathematical Model ◽  
Electrochemical Machining ◽  
Experimental Results ◽  
Working Face ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Motion Design

The twiste angle has a great effect on shaping law and stability of Numerical Controlled Electrochemical Machining (NC-ECM) process. In order to avoid the disadvantages caused by twiste angle, a methode of study shaping law by dispersing cathode working face in NC-ECM was proposed, and a mathematical model of the shaping law with the effects of twiste angle has been established in this paper. The mathematical model disclosed the relationship of twiste angle β, feeding velocity vf and thickness of removal material h in NC-ECM. Theoretical and experimental results show the the mathematical model of shaping law described in this paper can be considered as a useful reference and is helpful for the analysis of the NC-ECM and general ECM process.

scholarly journals Clique topology reveals intrinsic geometric structure in neural correlations

2015 ◽  
Vol 112 (44) ◽  
pp. 13455-13460 ◽  
Author(s):  
Chad Giusti ◽  
Eva Pastalkova ◽  
Carina Curto ◽  
Vladimir Itskov
Keyword(s):  
Eye Movement ◽  
Neural Activity ◽  
Geometric Structure ◽  
Pyramidal Neurons ◽  
Wheel Running ◽  
Matrix Analysis ◽  
Novel Approach ◽  
Position Coding ◽  
Relationship Of ◽  
The Relationship

Detecting meaningful structure in neural activity and connectivity data is challenging in the presence of hidden nonlinearities, where traditional eigenvalue-based methods may be misleading. We introduce a novel approach to matrix analysis, called clique topology, that extracts features of the data invariant under nonlinear monotone transformations. These features can be used to detect both random and geometric structure, and depend only on the relative ordering of matrix entries. We then analyzed the activity of pyramidal neurons in rat hippocampus, recorded while the animal was exploring a 2D environment, and confirmed that our method is able to detect geometric organization using only the intrinsic pattern of neural correlations. Remarkably, we found similar results during nonspatial behaviors such as wheel running and rapid eye movement (REM) sleep. This suggests that the geometric structure of correlations is shaped by the underlying hippocampal circuits and is not merely a consequence of position coding. We propose that clique topology is a powerful new tool for matrix analysis in biological settings, where the relationship of observed quantities to more meaningful variables is often nonlinear and unknown.

Investigation on Silicon-Glass Electrostatic Bonding Time Experiment

2011 ◽  
Vol 483 ◽  
pp. 78-82
Author(s):  
Xiao Wei Liu ◽  
Jia Lu Tang ◽  
Rong Yan Chuai ◽  
Hai Feng Zhang ◽  
Xi Lian Wang
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Thermal Expansion ◽  
Coefficient Of Thermal Expansion ◽  
Bonding Process ◽  
Bonding Time ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Electrostatic Bonding

In this paper, we make a detail analysis of some factors, which affects the electrostatic bonding process. According to the electrical properties of glass, combined with the principle of electrostatic bonding, we analysed the relationship of critical bonding time, voltage and temperature as well as the factors which affect electrostatic bonding. Then we come up with the mathematical model of the intensity and temperature of electrostatic bonding. In accordance with the above-mentioned formula and the experimental data, we can get the following conclusions: the intensity of electrostatic bonding is much greater between 280°C to 370°C; the best temperature for this bonding is about 350°C; however, when the temperature is below 280°C,the intensity of electrostatic bonding is lower due to the great impact of particles under low temperature; but when the temperature is higher than 370°C,the mismatch of coefficient of thermal expansion of silicon and glass gets larger, then as a result, the intensity of this bonding has a significant decrease with the increasing of temperature.

scholarly journals FORMATION OF MATHEMATICAL APPARATU FOR THE METHODOLOGY OF EMERGENCY PREVENTION ON SOLID WASTE LANDFILL WITH TECHNOLOGICAL EQUIPMENT

2020 ◽  
Vol 1 (154) ◽  
pp. 100-107 ◽  
Author(s):  
N. Rashkevich
Keyword(s):  
Mathematical Model ◽  
Solid Waste ◽  
Living Conditions ◽  
Analytical Dependence ◽  
Load Force ◽  
Physical Parameters ◽  
Technological Equipment ◽  
Waste Landfill ◽  
Relationship Of ◽  
The Relationship

The landfill with technological equipment becomes a clear danger of emergencies. The dangerous factors of emergencies there is landslides of waste mass, explosion of biogas on technological equipment. Modern scientific research aimed at establishing the laws of soil mechanics, obtaining the maximum amount of methane in the biogas composition, an unresolved part of the problem of ensuring civil security is the lack of an adequate method of emergency prevention. In the course of research, by the author was developed a mathematical model of emergency prevention on solid waste landfill with technological equipment. The mathematical model consists of an equation that describes the number of casualties due to an emergency and an equation that describes the existence of solutions to separate problems of estimating the conditions for determining the density, humidity, temperature of the waste mass. The desired solution of a separate problem is an analytical dependence that describes the relationship of the density of the waste mass in accordance with the variation of the physical parameters of the load force, porosity, height of waste storage. The desired solution of a separate problem is an analytical dependence that describes the relationship of the humidity of the waste mass in accordance with the variation of the input and visible fluid flows, density. The desired solution of a separate problem is an analytical dependence that describes the relationship of the temperature of the waste mass in accordance with the variation of the amount of heat supplied, generated, discharged. The number of people affected by an emergency is less than the objective level of the effects of the hazard, and the number of people with impaired living conditions is less than or equal to the objective level. Emergency prevention involves a set of measures aimed at preventing an increase in the number of victims, casualties, and persons with impaired living conditions from an object level to a higher level. Keywords: solid waste landfill, emergency, temperature, humidity, density.

Effect of cutting width on the optimum size of bars and boards when cutting sawlogs with sawing three bars of equal thickness and four pairs of side boards

10.12737/4517 ◽  
2014 ◽  
Vol 4 (2) ◽  
pp. 128-135 ◽  
Author(s):  
Агапов ◽  
Aleksandr Agapov
Keyword(s):  
Mathematical Model ◽  
Objective Function ◽  
Optimality Criterion ◽  
Constraint Equations ◽  
First Pass ◽  
Method Of Lagrange Multipliers ◽  
Relationship Of ◽  
The Mathematical Model ◽  
The Relationship ◽  
Equal Thickness

There is a task of cutting optimization of sawlogs considering the width of cut. Output of sawn timber produced after the first pass of cutting sawlogs is chosen as optimality criterion. The objective function is represented as the sum of the cross-section of bars and planks. Such a mathematical model of the objective function establishes a relationship between size of bars and planks. Constraint equations represent the relationship of sawlogs diameter with the size of bars and boards, as well as the width of the cut. To solve the mathematical model the method of Lagrange multipliers is used.

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