scholarly journals Mathematical modeling of the corpse cooling under conditions of varying ambient temperature

2021 ◽  
Vol 7 (1) ◽  
pp. 29-35
Author(s):  
German V. Nedugov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Ambient Temperature ◽  
Analytical Determination ◽  
Time Of Death ◽  
Main Condition ◽  
Proposed Model ◽  
Thermometric Determination ◽  
Early Postmortem

Background: The constancy of the ambient temperature is the main condition to correctly determine the time of death by thermometric method. However, in practice, this requirement is met only in cases of death in closed rooms. In this study, an exponential mathematical model was proposed for corpse cooling under any changes in ambient temperature. Aim: This study aimed to develop a mathematical model to determine the time of death based on the NewtonRichman cooling law in changing ambient temperature conditions. Materials and methods: Mathematical modeling of corpse cooling under changing ambient temperature is performed, focusing on problem solving of thermometric determination of the time of death. The axillary hollow was used as the diagnostic zone of the corpse, and the temperature of which at the time of death is taken is 36.6С. Results: A method of reverse reproduction of the cadaver temperature in conditions of changing ambient temperature has been developed. Results allow a relatively simple analytical determination of the time of death in the early postmortem period. Conclusions: The proposed method is advisable to be used in forensic medical practice to determine the time of death in early postmortem period. The developed mathematical model is implemented in the format of the application program Warm Bodies NRN. Use of tympanic and intraocular thermometry was recommended within the proposed model.

scholarly journals MATHEMATICAL MODELING OF ERRORS IN DETERMINING THE TIME OF DEATH ON THE BASIS OF THE NEWTON’S - RICHMAN’S COOLING LAW

2021 ◽  
Author(s):  
G. Nedugov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Ambient Temperature ◽  
Measurement Model ◽  
Indirect Measurement ◽  
Analytical Determination ◽  
Thermal Method ◽  
Time Of Death ◽  
Maximum Absolute Errors ◽  
Diagnostic Technologies

Abstract. A mandatory element of the development and implementation of diagnostic technologies for determining the time of death by the thermal method is the assessment of their possible errors. For equations of cadaver cooling that have a deterministic character, the estimation of errors is possible on the basis of a mathematical model of indirect measurement. In this article, a mathematical model is proposed for estimating the maximum absolute errors in determining the prescription of death on the basis of the Newtons - Richmans cooling law under conditions of constant and changing ambient temperature. Aim. To develop, on the basis of a mathematical model of indirect measurement, a method for estimating errors in determining the prescription of death on the basis of the Newtons - Richmans cooling law. Material and methods. Mathematical modeling of errors in determining the time of death in conditions of constant and changing ambient temperature is carried out on the basis of the Newtons - Richmans law. The computer program code is written in the C# programming language using the Microsoft Visual Studio 2019 application. Results. On the basis of the indirect measurement model, a method for estimating the maximum absolute errors in determining the time of death during cooling according to the Newtons - Richmans law under conditions of constant and changing ambient temperature is developed. The results obtained allow us to carry out an analytical determination of the errors in time the prescription of death in the early postmortem period. Conclusions. A mathematical model is developed for estimating the maximum absolute errors in determining the time of death on the basis of the Newtons - Richmans cooling law under conditions of constant and changing ambient temperature. The developed mathematical model is implemented in the format of the application program Warm Bodies NRN. The proposed method is advisable to use in forensic medical expert practice in determining the time of death.

Methods of Mathematical Modeling of the Leaching Process of Cobalt-Containing Solutions

2021 ◽  
Vol 316 ◽  
pp. 661-666
Author(s):  
Nataliya V. Mokrova
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Chemical Kinetics ◽  
Group Method ◽  
Data Handling ◽  
Multistage Processes ◽  
Leaching Process ◽  
Proposed Model ◽  
Simulation Results ◽  
The Mathematical Model

Current cobalt processing practices are described. This article discusses the advantages of the group argument accounting method for mathematical modeling of the leaching process of cobalt solutions. Identification of the mathematical model of the cascade of reactors of cobalt-producing is presented. Group method of data handling is allowing: to eliminate the need to calculate quantities of chemical kinetics; to get the opportunity to take into account the results of mixed experiments; to exclude the influence of random interference on the simulation results. The proposed model confirms the capabilities of the group method of data handling for describing multistage processes.

scholarly journals THE MATHEMATICAL MODELING OF METALS CONTENT IN PEAT

2015 ◽  
Vol 1 ◽  
pp. 249
Author(s):  
Edmunds Teirumnieks ◽  
Ērika Teirumnieka ◽  
Ilmārs Kangro ◽  
Harijs Kalis
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Inductively Coupled Plasma ◽  
Optical Emission ◽  
Peat Bog ◽  
Inductively Coupled ◽  
Pollution Loading ◽  
The Mathematical Model ◽  
Optical Emission Spectrometer

Metals deposition in peat can aid to evaluate impact of atmospheric or wastewaters pollution and thus can be a good indicator of recent and historical changes in the pollution loading. For peat using in agriculture, industrial, heat production etc. knowledge of peat metals content is important. Experimental determination of metals in peat is very long and expensive work. Using experimental data the mathematical model for calculation of concentrations of metals in different points for different layers is developed. The values of the metals (Ca, Mg, Fe, Sr, Cu, Zn, Mn, Pb, Cr, Ni, Se, Co, Cd, V, Mo) concentrations in different layers in peat taken from Knavu peat bog from four sites are determined using inductively coupled plasma optical emission spectrometer. Mathematical model for calculation of concentrations of metal has been described in the paper. As an example, mathematical models for calculation of Pb concentrations have been analyzed.

scholarly journals DETERMINING THE FORCES OF INTERACTION OF MAIN GEOKHODS SYSTEMS WITH GEO-ENVIRONMENT AND WITH EACH OTHER

2018 ◽  
pp. 23-30
Author(s):  
V. Yu. Beglyakov ◽  
V. V. Aksenov ◽  
I. K. Kostinets ◽  
A. A. Khoreshok
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Interaction Process ◽  
Generalized Model ◽  
Machine Elements ◽  
General Mathematical Model ◽  
Mine Workings ◽  
Modular Principles ◽  
Sufficient Strength

The processes occurring during the geodetic excavation of underground excavations are characterized by the interaction of the elements of the geokhod with each other and with the geo-environment. The interaction process can be investigated in mathematical modeling, solving the problems of justifying the parameters of the drives and interacting forces, ensuring sufficient strength of the machine elements and the bearing capacity of the contour array. The proposed block-modular principles of constructing a mathematical model allow solving particular problems of the system and its individual elements. From the solution of particular problems, it is now necessary to proceed to the solution of the generalized model, using equivalent loads and reduced total moments (forces). The construction of a generalized model requires a number of assumptions, but its solution will reveal the interaction between the elements of the geokhod and the geo-environment, which is very relevant.As an example, the solution of a particular problem is given-the determination of the value of the forces arising from the interaction of the blade of an external engine with the medium.A list of assumptions is formulated that allow us to describe a general mathematical model of the interaction between the geo-environment and the geokhod, as well as the processes occurring during geodetic excavation of mine workings.

scholarly journals Roll Attitude Determination of Spin Projectile Based on GPS and Magnetoresistive Sensor

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Dandan Yuan ◽  
Wenjun Yi ◽  
Jun Guan
Keyword(s):  
Mathematical Model ◽  
Attitude Determination ◽  
Accurate Determination ◽  
Blind Spot ◽  
Gps Measurements ◽  
Guidance And Control ◽  
Magnetoresistive Sensor ◽  
Proposed Model ◽  
And Control

Improvement in attack accuracy of the spin projectiles is a very significant objective, which increases the overall combat efficiency of projectiles. The accurate determination of the projectile roll attitude is the recent objective of the efficient guidance and control. The roll measurement system for the spin projectile is commonly based on the magnetoresistive sensor. It is well known that the magnetoresistive sensor produces a sinusoidally oscillating signal whose frequency slowly decays with time, besides the possibility of blind spot. On the other hand, absolute sensors such as GPS have fixed errors even though the update rates are generally low. To earn the benefit while eliminating weaknesses from both types of sensors, a mathematical model using filtering technique can be designed to integrate the magnetoresistive sensor and GPS measurements. In this paper, a mathematical model is developed to integrate the magnetoresistive sensor and GPS measurements in order to get an accurate prediction of projectile roll attitude in a real flight time. The proposed model is verified using numerical simulations, which illustrated that the accuracy of the roll attitude measurement is improved.

INFLUENCE OF DYNAMIC LOADING ON THE CHARACTERISTICS OF POLYMER IMPACT DAMPERS

2020 ◽  
Author(s):  
Vladimir Altuhov ◽  
Aleksey Boldyrev ◽  
Pavel Zhirov
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Ambient Temperature ◽  
Dynamic Loading ◽  
Loading Rate ◽  
Rolling Stock ◽  
Wear Factor ◽  
Shock Absorbers ◽  
Draft Gear ◽  
Freight Car

The article is devoted to the study of the influence of dynamic loading on the characteristics of polymer elements of shock absorbers of the rolling stock of railways and to the description of the creation of a mathematical model of their work. The results of mathematical modeling are further used to solve problems of the longitudinal dynamics of rolling stock. In the study, the initial loading rate varied, the ambient temperature and the influence of the wear factor remained unchanged. For the operating speeds of a freight car, a mathematical model of the PMKP-110 draft gear was determined.

scholarly journals MATHEMATICAL MODELING OF RESIDUAL STRESSES IN PLASMA COATINGS TAKING INTO ACCOUNT THE PROCESS OF INCREASING LAYERS

2020 ◽  
Vol 22 (6) ◽  
pp. 14-20
Author(s):  
V.I. Bogdanovich ◽  
◽  
M.G. Giorbelidze ◽  
I.A. Dokukina ◽  
N.V. Surkova ◽  
...  
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Residual Stresses ◽  
Mathematical Models ◽  
Ambient Temperature ◽  
Experimental Studies ◽  
Final Temperature ◽  
Good Convergence ◽  
Plasma Coatings

Developed a mathematical model for determining residual stresses with increasing plasma coatings, taking into account the stresses arising upon cooling of the material from the final temperature to ambient temperature; tension that arises when removing the fastening devices and tension that existed in the substrate before spraying. The developed mathematical models are adapted for the most common cases of fixing the base used in the practice of coating. Experimental studies of residual stresses were carried out, which showed good convergence with the values of residual stresses obtained theoretically.

scholarly journals Experimental and Theoretical Analysis of a Mono PV Cell with Five Parameters, Simulation Model Compatible with Iraqi Climate

2020 ◽  
Vol 27 (1) ◽  
pp. 54-64
Author(s):  
Bdoor Majed Ahmed ◽  
Nibal Fadel Farman Alhialy
Keyword(s):  
Mathematical Model ◽  
Solar Radiation ◽  
Ambient Temperature ◽  
Weather Conditions ◽  
Included Study ◽  
Standard Test ◽  
Solar Panel ◽  
Solar Panels ◽  
Proposed Model ◽  
The Mathematical Model

The present work included study of the effects of weather conditions such as solar radiation and  ambient temperature on solar panels (monocrystalline 30 Watts) via proposed mathematical model, MATLAB_Simulation was used by scripts file to create a special code to solve the mathematical model , The latter is single –diode model (Five parameter) ,Where the effect of ambient temperature and solar radiation on the output of the solar panel was studied, the Newton Raphson method was used to find the  output current of the solar panel and plot P-V ,I-V curves, the performance of the PV was determined at Standard Test Condition (STC) (1000W/m2)and a comparison between theoretical and experimental results were done .The best efficiency  ranging from 0.15 to 0.16. With a particularly, error about (-0.333) for experimental power (30 Watt) comparing with theoretical power (30.1), through these results it is concluded the validity of the proposed model. This model can be used for all types of photovoltaic panels and also with larger output power.

scholarly journals Determination of the Course of COVID-19 Pandemic Using Modified Logistic Modeling

2021 ◽  
pp. 17-26
Keyword(s):  
Mathematical Modeling ◽  
Mathematical Model ◽  
Mortality Rate ◽  
Tract Infection ◽  
Large Population ◽  
High Rate ◽  
The World ◽  
New Type ◽  
Short Time

Introduction: COVID-19 appeared in China at the end of 2019. It then spread all over the world very quickly. The new type of corona virus COVID-19, which causes respiratory tract infection, is destructive with its high rate of transmission and mortality rate. Materials and Methods: In this study, determining the course of the COVID-19 pandemic for next 4 months in Afghanistan with the help of a specially modified mathematical modeling is intended to reveal. Results: results of our study show that the COVID-19 pandemic can affect a large population in Afghanistan in a short time. However, it is possible to reduce the number of cases and deaths very effectively with easy measures. Keywords: COVID-19, precautions, pandemic, logistic mathematical model, Afghanistan.

scholarly journals Determinación Mejorada del Volumen de Pesas Patrón por Medición Geométrica

2019 ◽  
Vol 7 (20) ◽  
Author(s):  
Omar Jair Purata Sifuentes
Keyword(s):  
Mathematical Model ◽  
Current Model ◽  
Title Page ◽  
Manufacturing Processes ◽  
Volume Determination ◽  
New Model ◽  
Proposed Model ◽  
Surface Contact ◽  
Geometric Measurement

<div class="page" title="Page 1"><div class="layoutArea"><div class="column"><p><span><strong>Purpose</strong>  </span><span>̶  </span><span>to develop an improved mathematical model for volume determination of standardized weights by geometric measurement.</span></p><p><span><strong>Methodology</strong>  </span><span>̶  </span><span>the new model eliminates an assumption considered in the current model published in the OIML R 111-1 recommendation, since it considers existing deviations from the assumed shape of the weights in the current model, specifically in the so-called knob and ring sections. These deviations might originate during the manufacturing processes of the weights. </span></p><p><span><strong>Results</strong>  </span><span>̶  </span><span>an improved mathematical model for the calculation of the volume of standard weights by geometric measurement was deduced. Additionally, the model has the advantage of eliminating the risk of scratching the weights, which makes it possible to extend the use of the new model to higher accuracy classes.</span></p><p><span><strong>Limitations</strong>  </span><span>̶  </span><span>the proposed model involves the possibility of making geometric measurements without surface contact of the weights, for example, with an optical comparator. </span></p><p><span><strong>Findings</strong>  </span><span>̶  </span><span>an assessment of the current model against data previously published allows highlighting the relevance and higher accuracy of the new model, which makes it possible to calculate the density of standard weights, even for E class, through only geometric measurements. </span></p></div></div></div>

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