scholarly journals Determination of a New Characterization Point for Nonlinear Mathematical Models Applied to Sheep

2019 ◽  
Vol 4 (3) ◽  
pp. 38
Author(s):  
Mohammed Balafrej
Keyword(s):  
Mathematical Models ◽  
Nonlinear Mathematical Models

scholarly journals Determination of Capacity and Rules of the Variability of Maximum Force Using Nonlinear Mathematical Models: a Case Study.

2016 ◽  
Vol 16 ◽  
pp. 91-101
Author(s):  
Milenko B. Milosevic ◽  
Vesna J. Nemec ◽  
Morteza Jourkesh ◽  
Predrag M. Nemec ◽  
Milos M. Milosevic ◽  
...  
Keyword(s):  
Mathematical Models ◽  
Maximum Force ◽  
Nonlinear Mathematical Models

DETERMINATION OF THE JUICE EVAPORATION MATHEMATICAL MODELS EFFICIENCY FOR AUTOMATED PROCESS CONTROL SYSTEMS

2019 ◽  
Vol 9 (1) ◽  
Author(s):  
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Keyword(s):  
Process Control ◽  
Mathematical Models ◽  
Control Systems ◽  
Process Control Systems ◽  
Automated Process

scholarly journals Effect of data quality on estimates of farm infectiousness trends in the UK 2001 foot-and-mouth disease epidemic

2006 ◽  
Vol 4 (13) ◽  
pp. 235-241 ◽  
Author(s):  
Nicholas J Savill ◽  
Darren J Shaw ◽  
Rob Deardon ◽  
Michael J Tildesley ◽  
Matthew J Keeling ◽  
...  
Keyword(s):  
Mathematical Models ◽  
Data Quality ◽  
Foot And Mouth Disease ◽  
Mouth Disease ◽  
Inaccurate Data ◽  
Foot And Mouth ◽  
The Uk ◽  
Parameter Values

Most of the mathematical models that were developed to study the UK 2001 foot-and-mouth disease epidemic assumed that the infectiousness of infected premises was constant over their infectious periods. However, there is some controversy over whether this assumption is appropriate. Uncertainty about which farm infected which in 2001 means that the only method to determine if there were trends in farm infectiousness is the fitting of mechanistic mathematical models to the epidemic data. The parameter values that are estimated using this technique, however, may be influenced by missing and inaccurate data. In particular to the UK 2001 epidemic, this includes unreported infectives, inaccurate farm infection dates and unknown farm latent periods. Here, we show that such data degradation prevents successful determination of trends in farm infectiousness.

scholarly journals Determination of parameters for Cauchy’s problem for systems of ODEs with application to biological modelling

BIOMATH ◽  
2016 ◽  
Vol 5 (1) ◽  
pp. 1604231
Author(s):  
A.N. Pete ◽  
Peter Mathye ◽  
Igor Fedotov ◽  
Michael Shatalov
Keyword(s):  
Experimental Data ◽  
Mathematical Models ◽  
Least Squares ◽  
Numerical Method ◽  
Least Squares Method ◽  
Algebraic Equations ◽  
Systems Of Odes ◽  
Determination Of Parameters ◽  
Biological Modelling

An inverse numerical method that estimate parameters of dynamic mathematical models given some information about unknown trajectories at some time is applied to examples taken from Biology and Ecology. The method consisting of determining an over-determined system of algebraic equations using experimental data. The solution of the over-determined system is then obtained using, for example the least-squares method. To illustrate the effectiveness of the method an analysis of examples and corresponding numerical example are presented.

scholarly journals Chemometric approach in the development of the colorimetric method for the estimation of food colorants in meat products

2014 ◽  
Vol 68 (6) ◽  
pp. 781-791 ◽  
Author(s):  
Radivoj Petronijevic ◽  
Vesna Matekalo-Sverak ◽  
Aurelija Spiric ◽  
Ilija Vukovic ◽  
Jelena Babic ◽  
...  
Keyword(s):  
Linear Regression ◽  
Mathematical Models ◽  
Multiple Linear Regression ◽  
Linear Models ◽  
Colorimetric Method ◽  
Meat Products ◽  
Food Colorants ◽  
Food Colorant ◽  
Control Batch

The aim of this research was to develop a novel colorimetric method based on mathematical models, by multiple linear regression (MLR), from the CIE L*a*b* measurements and data of the HPLC determination of food colorants. Calibration set of 10 production batches of finely grinded cooked sausage with food colorants added was manufactured in industrial conditions as follows: one control batch and 9 products with various quantities of added food colorants: E120 (3.4, 7.5 and 12.5 mg/kg), E 124 (5.0, 15.0, 25.0 mg/kg) and E 129 (5.0, 15.0, 25.0 mg/kg). The estimation of the added food colorants was assessed by measuring L*, a*, b* parameters of cross-section. The quantification of food colorants was achieved by HPLC-PDA. Food colorants were extracted from meat products using Accelerated Solvent Extraction (ASE). Quantification of food colorants was achieved in the range from 1 to 100 mg / kg, and recovery values were from 76.15% to 107.04%, for E 120, from 97.61% to 101.03%, for E 124 and from 99.91% to 101.67%, for E 129. Correlation of the results obtained using HPLC and colorimetric measuring data was assessed by Multiple Linear Regression (MLR). The results from colorimetric and chromatographic determinations in four experimental batches (three batches with different quantities of food colorants and one control batch) were used for calibration. Coefficients of determination (R2) for linear models in experimental batches were 0.954, for E 124, 0.987, for E 120 and 0.993, for E 129. Correlation functions of food colorant quantities and corresponding L*a*b* values were established. The obtained mathematical models were tested for the estimation of the content of dyes in 21 samples of finely grinded cooked sausages purchased in retail stores. Food colorants were confirmed in 20 samples (95.24 %), and one sample (4.76 %) did not contain any of these compounds. Out of the positive samples, sixteen samples (80.00 %) contained E 120, while four samples (20.00 %) contained E 129. Food colorant E124 was not established in any of the analyzed samples. Colorimetric CIE L*a*b* method might be used during sensory evaluation of meat products for the assessment of the added food colorants.

scholarly journals Solitary Wave Solution of Nonlinear PDEs Arising in Mathematical Physics

Open Physics ◽  
2019 ◽  
Vol 17 (1) ◽  
pp. 381-389
Author(s):  
Attia Rani ◽  
Nawab Khan ◽  
Kamran Ayub ◽  
M. Yaqub Khan ◽  
Qazi Mahmood-Ul-Hassan ◽  
...  
Keyword(s):  
Solitary Wave ◽  
Mathematical Models ◽  
Solitary Wave Solution ◽  
Nonlinear Differential Equations ◽  
Soliton Solutions ◽  
Nonlinear Pdes ◽  
Wave Transformation ◽  
Soliton Theory ◽  
Nonlinear Mathematical Models ◽  
Expansion Technique

Abstract The solution of nonlinear mathematical models has much importance and in soliton theory its worth has increased. In the present article, we have investigated the Caudrey-Dodd-Gibbon and Pochhammer-Chree equations, to discuss the physics of these equations and to attain soliton solutions. The exp(−ϕ(ζ ))-expansion technique is used to construct solitary wave solutions. A wave transformation is applied to convert the problem into the form of an ordinary differential equation. The drawn-out novel type outcomes play an essential role in the transportation of energy. It is noted that in the study, the approach is extremely reliable and it may be extended to further mathematical models signified mostly in nonlinear differential equations.

General Solutions to Nurses Travel in Linear and Circular Nursing Units

1974 ◽  
Vol 18 (2) ◽  
pp. 134-134
Author(s):  
Stanley Lippert
Keyword(s):  
Mathematical Models ◽  
Nursing Staff ◽  
General Solutions ◽  
Room Size ◽  
Number Of Patients ◽  
Internal Arrangement ◽  
Objective Determination ◽  
Made In

The hospital literature of the 1960's contains about a dozen reports or articles pertaining to the relative merits of circular vs. conventional (chiefly linear corridors flanked by patient rooms on both sides). The claims included items other than nurses travel, for example, patient visibility to nursing staff, subjective impressions, and building costs. This article is concerned only with general but quantitative comparisons of these two classes of nursing units with respect to nurses travel. Mathematical models have been developed which permit practically instant evaluation of nursing units where all patient rooms are for a single occupant or where all rooms are for two occupants. The model reflects changes in room size and internal arrangement. Examination of the architect's preliminary sketches permits the determination of superior ority of one layout over another in terms of travel. The fact that this is but one of hundreds of determinations to be made in hospital designs does not diminish its importance. The literature contains various claims to “efficiency” based on no objective criteria. The model provides a simple and objective determination of nurses travel, for any number of patients typically visited and for any pattern of randomness or orderliness in their assignments.

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