scholarly journals Analytical determination of DNA melting characteristic parameters using the optimal degree polynomial regression model

2021 ◽  
Vol 2103 (1) ◽  
pp. 012057
Author(s):  
D A Belov ◽  
A L Bulyanitsa ◽  
N A Korneva ◽  
A S Aldekeeva ◽  
Yu V Belov
Keyword(s):  
Polynomial Regression ◽  
Polynomial Function ◽  
Melting Curve ◽  
New Technique ◽  
Analytical Determination ◽  
Dna Melting ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Optimal Degree ◽  
Degree Choice

Abstract The article describes a new technique for determining two main parameters of DNA melting: the melting temperature Tm and the temperature melting range ΔT, based on the plotting of an approximating polynomial function for the DNA melting curve. An algorithm is proposed for reducing the melting curve to approximation by the fourth degree polynomial function in accordance with the physical aspect of the DNA melting process. The correctness of the optimal degree choice from the condition of minimizing the value of the Akaike’s information criterion corrected has been confirmed. Analytical expressions for calculating the values of Tm and ΔT are given oriented to a polynomial function of the fourth degree. Results comparison of applying the proposed and well-known techniques based on the experimental data is performed. The advantages of the new technique are revealed.

scholarly journals Distribution of Trichinella infections in pigs and Trichinellosis in humans in Serbia from 1994 to 2018

2019 ◽  
Vol 73 (2) ◽  
pp. 133-143 ◽  
Author(s):  
Milorad Mirilovic ◽  
Nada Tajdic ◽  
Branislav Vejnovic ◽  
Spomenka Djuric ◽  
Nikola Mirilovic ◽  
...  
Keyword(s):  
Polynomial Function ◽  
Winter Season ◽  
Degree Polynomial ◽  
Surveillance Period ◽  
Mammal Species ◽  
Fourth Degree ◽  
Trend Line ◽  
Trichinella Infection ◽  
The World ◽  
The Republic

Introduction. Trichinellosis is a disease in humans caused by parasites of the genus Trichinella, and these roundworms can occur in a variety of animals (over one hundred mammal species). Members of the genus Trichinella are present in almost all continents and in all climate zones. Intensive studies on the eradication of this disease have been going on for a long period, but despite the finances invested in research projects, trichinellosis is still present in the 21st century and poses a major health issue all over the world. According to current scientific estimations, there are over 27 million Trichinellainfected people in the world. The aim of our study was to determine the distribution and trends for Trichinella infection in pigs and trichinellosis in humans in Serbia between 1994 and 2018. Materials and Methods. Data for the 25-year surveillance period of Trichinella cases registered in pigs and humans in Serbia was gathered from the Veterinary Directorate and from the Institute of Public Health of the Republic of Serbia. The data obtained was analysed with the relative numbers of structure and dynamics, indices and descriptive statistical indicators. Results and Conclusions. During the research period, 14,837 pigs were diagnosed as infected with Trichinella. Out of this number, 87.31% of pigs were identified in the five epizootiological regions, and only 12.69% were diagnosed in the non-epizootiological regions in Serbia. During the period 1994-2018 in Serbia, a total of 6,850 people were treated for Trichinella infection. Out of this number, 4,153 (60.63%) people were from the five epizootiological regions. The trend-line describing the presence of Trichinella in pigs was defined by a fourth degree polynomial function. Meanwhile, the trend-line describing the presence of trichinellosis in humans was defined by a sixth degree polynomial function. Trichinellosis in Serbia is most common during the winter season, from December to March.

scholarly journals Local height transformation through polynomial regression

2012 ◽  
Vol 61 (1) ◽  
pp. 3-17 ◽  
Author(s):  
Marcin Ligas ◽  
Piotr Banasik
Keyword(s):  
Reference System ◽  
Goodness Of Fit ◽  
Polynomial Regression ◽  
Polynomial Function ◽  
Statistical Tests ◽  
Transformation Function ◽  
Spatial Reference ◽  
Optimal Degree ◽  
Polynomial Transformation

Abstract The paper presents results of the transformation between two height systems Kronstadt’60 and Kronstadt’86 within the area of Krakow’s district, the latter system being nowadays a part of National Spatial Reference System in Poland. The transformation between the two height systems was carried out based on the well known and frequently applied in geodesy polynomial regression. Despite the fact it is well known and frequently applied it is rather seldom broader tested against the optimal degree of a polynomial function, goodness of fit and its predictive capabilities. In this study some statistical tests, measures and techniques helpful in analyzing a polynomial transformation function (and not only) have been used.

scholarly journals Mathematical Model and Data Analysis to Determine the Number of Confirmed Infections Due to Covid-19 in Spain

2020 ◽  
Vol 14 (7) ◽  
pp. 60
Author(s):  
Gaston Sanglier ◽  
Sonia Cesteros ◽  
Eduardo J. Lopez ◽  
Roberto A. Gonzalez
Keyword(s):  
Mathematical Model ◽  
Data Analysis ◽  
Mathematical Models ◽  
Polynomial Regression ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Vital Importance ◽  
The World ◽  
Speed Of Propagation ◽  
Regression Adjustment

Covid-19 initially started in China, although cases of infection by this virus are currently being identified in Europe since January and February of this year camouflaged within a strong outbreak of influenza that had not been identified before. What is certain is that in about a hundred days it has spread around the world threatening humanity. There seems to be a great need to find a rapid response to the speed at which the virus is spreading. In this work, different mathematical models are studied to accurately determine the speed of propagation or infection of people infected by Covid-19 based on data collected from the evolution of the pandemic in Spain. Several mathematical models are proposed and analyzed, but the model proposed as the most suitable is a fourth degree polynomial regression adjustment that presents an R-square statistic of 99.72% which gives a great adjustment of the model for the calculation of the number of infected confirmed by this virus in Spain.  Knowing these data is of vital importance to be able to take and undertake the most urgent health and social measures in an effective and orderly manner. This will have a great repercussion in being able to avoid a high number of possible infections.

scholarly journals Simulation Tests of a Cow Milking Machine—Analysis of Design Parameters

Processes ◽  
2021 ◽  
Vol 9 (8) ◽  
pp. 1358
Author(s):  
Ewa Golisz ◽  
Adam Kupczyk ◽  
Maria Majkowska ◽  
Jędrzej Trajer
Keyword(s):  
Mathematical Model ◽  
Simplified Model ◽  
Design Parameters ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Local Loss ◽  
Linear Drag ◽  
Milking Machine ◽  
Machine Analysis ◽  
The Impact

The objective of this paper was to create a mathematical model of vacuum drops in a form that enables the testing of the impact of design parameters of a milking cluster on the values of vacuum drops in the claw. Simulation tests of the milking cluster were conducted, with the use of a simplified model of vacuum drops in the form of a fourth-degree polynomial. Sensitivity analysis and a simulation of a model with a simplified structure of vacuum drops in the claw were carried out. As a result, the impact of the milking machine’s design parameters on the milking process could be analysed. The results showed that a change in the local loss and linear drag coefficient in the long milk duct will have a lower impact on vacuum drops if a smaller flux of inlet air, a higher head of the air/liquid mix, and a higher diameter of the long milk tube are used.

scholarly journals Effect of Differentiated Nitrogen Fertilization on the Enzymatic Activity of the Soil for Sweet Potato (Ipomoea batatas L. [Lam.]) Cultivation

Agronomy ◽  
2020 ◽  
Vol 10 (12) ◽  
pp. 1970
Author(s):  
Barbara Sawicka ◽  
Barbara Krochmal-Marczak ◽  
Piotr Pszczółkowski ◽  
Elżbieta Jolanta Bielińska ◽  
Anna Wójcikowska-Kapusta ◽  
...  
Keyword(s):  
Enzymatic Activity ◽  
Total Nitrogen ◽  
Nitrogen Fertilization ◽  
Ipomoea Batatas ◽  
Polynomial Regression ◽  
Sandy Loam ◽  
C:N Ratio ◽  
Soil Reaction ◽  
Research Station ◽  
Fourth Degree

The experiment was conducted between 2015–2017 in the Research Station for Cultivar Testing in Uhnin (51°34′ N, 23°02′ E), in Luvisols developed from sandy loam soils. Soil samples for the tests of enzymatic activity were collected after the crop was harvested. The measurements included: the content of dehydrogenases, phosphatases, urease and protease, as well as total organic carbon, total nitrogen and mineral nitrogen in soil, based on standard methods. The research results point to changes in the enzymatic activity of light soil under the influence of varied nitrogen fertilization. In objects fertilized with this ingredient, the activity of the analysed enzymes was significantly higher than in the control soil, except for combinations fertilised with 150 kg ha−1 N characterised by the highest accumulation of N-NO3− in soil. The activity of dehydrogenases, phosphatases and urease changed as the nitrogen dose increased. The polynomial regression analysis enabled a better understanding of those dependences. In the case of dehydrogenases, phosphatases and urease, a third-degree curvilinear relation of enzymatic activity to nitrogen fertilisation was observed (a fourth-degree relation was found, with a coefficient R2 in those equations amounting to =0.958, 0.977, 0.979, respectively) and in the case of protease activity, a fourth-degree relation, with coefficient R2 = 0.989. However, soil acidity did not have a significant influence on either the enzymatic activity or physico-chemical characteristics of soil under the cultivation of sweet potatoes. The C:N ratio turned out to be significantly negatively related to the content of the enzymes dehydrogenase (Adh), phosphatase (AF), urease (AU) and protease (AP) as well as the content of total nitrogen, especially its ammonium form (N-NH4). The obtained results indicate the usefulness of research on enzymatic activity as an indicator of soil reaction to nitrogen fertilization and will enable maintenance of the optimal biological balance of cultivated soils.

BENDING OF ORTHOTROPIC RECTANGULAR CANTILEVER PLATE

2021 ◽  
pp. 2-9
Author(s):  
M.V. Sukhoterin ◽  
◽  
A.M. Maslennikov ◽  
T.P. Knysh ◽  
I.V. Voytko ◽  
...  
Keyword(s):  
Iterative Method ◽  
Boundary Conditions ◽  
Trigonometric Series ◽  
Bending Moment ◽  
Partial Solution ◽  
Numerical Results ◽  
Cantilever Plate ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Beam Function

Abstract. An iterative method of superposition of correcting functions is proposed. The partial solution of the main differential bending equation is represented by a fourth-degree polynomial (the beam function), which gives a residual only with respect to the bending moment on parallel free faces. This discrepancy and the subsequent ones are mutually compensated by two types of correcting functions-hyperbolic-trigonometric series with indeterminate coefficients. Each function satisfies only a part of the boundary conditions. The solution of the problem is achieved by an infinite superposition of correcting functions. For the process to converge, all residuals must tend to zero. When the specified accuracy is reached, the process stops. Numerical results of the calculation of a square ribbed plate are presented.

Complete Solution to the Eight-Point Path Generation of Slider-Crank Four-Bar Linkages

2010 ◽  
Vol 132 (8) ◽  
Author(s):  
Hafez Tari ◽  
Hai-Jun Su
Keyword(s):  
Complete Solution ◽  
Solution Process ◽  
Polynomial Equations ◽  
Homotopy Methods ◽  
Degree Polynomial ◽  
Fourth Degree ◽  
Augmented System ◽  
Polynomial Curve ◽  
Four Bar Linkage ◽  
Classical Homotopy

We study the synthesis of a slider-crank four-bar linkage whose coupler point traces a set of predefined task points. We report that there are at most 558 slider-crank four-bars in cognate pairs passing through any eight specified task points. The problem is formulated for up to eight precision points in polynomial equations. Classical elimination methods are used to reduce the formulation to a system of seven sixth-degree polynomials. A constrained homotopy technique is employed to eliminate degenerate solutions, mapping them to solutions at infinity of the augmented system, which avoids tedious post-processing. To obtain solutions to the augmented system, we propose a process based on the classical homotopy and secant homotopy methods. Two numerical examples are provided to verify the formulation and solution process. In the second example, we obtain six slider-crank linkages without a branch or an order defect, a result partially attributed to choosing design points on a fourth-degree polynomial curve.

Sign in / Sign up

Export Citation Format

Share Document