A mathematical model for quinone-herbicide competition in the reaction centres of Rhodobacter sphaeroides

2002 ◽  
Vol 29 (4) ◽  
pp. 443 ◽  
Author(s):  
Andrea Halmschlager ◽  
Júlia Tandori ◽  
Massimo Trotta ◽  
László Rinyu ◽  
Ilona Pfeiffer ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Equilibrium Constants ◽  
Simple Algebra ◽  
Quantitative Model ◽  
Characteristic Parameters ◽  
Oscillation Pattern ◽  
Reaction Centres ◽  
Two Parameters ◽  
The Mathematical Model ◽  
Best Fit

A quantitative model describing the amplitude of semiquinone absorption in photosynthetic reaction centres after successive flashes in the presence of increasing inhibitor concentration is presented. By using relatively simple algebra, the semiquinone signals can be calculated and fitted to the oscillation pattern by optimizing only two parameters; the electron and quinone equilibrium constants, Ke and Kq, respectively. In this work we expand our earlier model [Tandori et al. (1991) Photosynthetica 25, 159–166] by introducing the inhibitor equilibrium constant, Ki, describing the best fit of the model to the measured oscillation pattern. We found that there are characteristic parameters of the measured and normalized signal, and of those calculated from the mathematical model, which fit well with competitive Michaelis-Menten kinetics.

scholarly journals On the Dragging Trajectory of Anchors in Clay for Merchant Ships

2021 ◽  
Vol 9 (2) ◽  
pp. 118
Author(s):  
Xinqing Zhuang ◽  
Keliang Yan ◽  
Pan Gao ◽  
Yihua Liu
Keyword(s):  
Mathematical Model ◽  
Structural Integrity ◽  
Indirect Measurement ◽  
Test System ◽  
Flow Rule ◽  
Burial Depth ◽  
Proposed Model ◽  
Depth Increase ◽  
Two Parameters ◽  
The Mathematical Model

Anchor dragging is a major threat to the structural integrity of submarine pipelines. A mathematical model in which the mechanical model of chain and the bearing model of anchor were coupled together. Based on the associated flow rule, an incremental procedure was proposed to solve the spatial state of anchor until it reaches the ultimate embedding depth. With an indirect measurement method for the anchor trajectory, a model test system was established. The mathematical model was validated against some model tests, and the effects of two parameters were studied. It was found that both the ultimate embedding depth of a dragging anchor and the distance it takes to reach the ultimate depth increase with the shank-fluke pivot angle, but decrease as the undrained shear strength of clay increases. The proposed model is supposed to be useful for the embedding depth calculation and guiding the design of the pipeline burial depth.

scholarly journals Identifying Diseases and Diagnosis using Machine Learning

2019 ◽  
Vol 8 (6S2) ◽  
pp. 978-981
Keyword(s):  
Machine Learning ◽  
Mathematical Model ◽  
Dimensionality Reduction ◽  
Disease Classification ◽  
High Dimensional ◽  
Classification Algorithms ◽  
Major Work ◽  
The Mathematical Model ◽  
Best Fit ◽  
Learning By Using

The method that is use to optimize the criterion efficiency that depend on the previous experience is known as machine learning. By using the statistics theory it creates the mathematical model, and its major work is to surmise from the examples gave. To take the data straightforwardly from the information the approach uses computational methods. For recognize and identify the disease correctly a pattern is very necessary in Diagnosis recognition of disease. for creating the different models machine learning is used, this model can use for prediction of output and this output is depend on the input that is related to the data which previously used. For curing any disease it is very important to identify and detect that disease. For classify the disease classification algorithms are used. It uses are many dimensionality reduction algorithms and classification algorithms. Without externally modified the computer can learn with the help of the machine learning. For taking the best fit from the observation set the hypothesis is selected. Multi-dimensional and high dimensional are used in machine learning. By using machine learning automatic and classy algorithms can build.

Effects of Powders on the Precision of a Powder Metallurgy Helical Gear

2007 ◽  
Author(s):  
Ming-Ta Yu ◽  
Chung-Biau Tsay
Keyword(s):  
Mathematical Model ◽  
Powder Metallurgy ◽  
Helical Gear ◽  
Precision Measurements ◽  
Manufacture Process ◽  
Measurement Results ◽  
Surface Deviations ◽  
Two Parameters ◽  
The Mathematical Model ◽  
The Relationship

This study refers to the conditions of practical powder metallurgy manufacture process, and proceeds to experiments and gear precision measurements as well as investigation on the effects of two parameters, powders and pitch circle radius, on gear precision. The relationship between gear parameters and gear surface deviations was derived from the mathematical model of the involute helical gear and the analysis of gear surface deviations. In accordance with the measurement results of experiments, an ideal correction on the parameters of a forming die is obtained from the computer simulations of gear surface deviations.

scholarly journals Isotropic Modeling of a Composite Panel of the Stern of a Fiberglass Boat Propelled by an Outboard Motor

2014 ◽  
Vol 7 (14) ◽  
pp. 9
Author(s):  
Patrick Townsend Valencia
Keyword(s):  
Mathematical Model ◽  
Finite Element ◽  
Mathematical Formulation ◽  
Composite Panel ◽  
Finite Element Program ◽  
Element Program ◽  
Material Conditions ◽  
Sandwich Materials ◽  
The Mathematical Model ◽  
Best Fit

We performed a theoretical and experimental study to define the best way to model the finite element sandwich structure aft of a fiberglass boat less than 15 meters in length, using an isotropic linear mathematical model that fits anisotropic material conditions. This is done by defining the properties of the ship’s fiberglass resin structure, which is representative of the influence of the forces acting during the glide on the geometry of the entire vessel. Formulation of the Finite Elements Method is presented, which works on the mathematical model to define the limitations of the results obtained. Isotropic material adjustment is calculated using Halpin-Tsai laws, developing its mathematical formulation for restrictions of modulus data entered as the finite element program experimentally calculated for each of the sandwich materials. The best-fit mathematical presentation to the modulus of the composite tool justifies the calculation thereof. 

THE APPLICA TION OF "FROZEN WALL " SOFTWARE IN SIMULA TION OF ARTIFICIAL GROUND FREEZING

2019 ◽  
Vol 4 (1) ◽  
pp. 269-282
Author(s):  
L.Y. Levin ◽  
◽  
M.A. Semin ◽  
A.V. Bogomyagkov ◽  
O.S. Parshakov ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Numerical Solution ◽  
General Information ◽  
Software Application ◽  
Ground Freezing ◽  
Artificial Ground Freezing ◽  
Frozen Wall ◽  
The Mathematical Model ◽  
Best Fit ◽  
Technical Measures

The paper presents general information about the software application “Frozen Wall ”, which was designed to simulate frozen wall formation around constructed vertical shafts. The main feature of the developed application is the possibility of calibrating the mathematical model for the best fit with the experimental temperature measurements by numerical solution of the inverse Stefan problem. In addition, it takes into account a number of technological processes that affect the state of the frozen wall. Based on calculations performed in the application, it is possible to develop technical measures aimed at ensuring the efficiency of mine shafts construction in difficult hydrogeological conditions.

Adjustment of a Rotor Model to Achieve Agreement between Calculated and Experimental Natural Frequencies

1979 ◽  
Vol 21 (6) ◽  
pp. 389-396 ◽  
Author(s):  
G. T. S. Done
Keyword(s):  
Mathematical Model ◽  
Natural Frequencies ◽  
Turbine Rotor ◽  
Beam Elements ◽  
Stiffness Properties ◽  
Standard Values ◽  
Lumped Masses ◽  
The Mathematical Model ◽  
Best Fit ◽  
Rotor Model

This paper is concerned with the problem of adjusting the mathematical model of a system such that the computed natural frequencies coincide with those measured experimentally. The particular system considered is a laboratory turbine-rotor model, modelled mathematically by 42 Timoshenko beam elements and lumped masses. Model adjustments are made by assuming, firstly, Young's modulus and the modulus of rigidity to be variable, a change from standard values representing overall stiffness deficiencies in the mathematical model. In this case, a best fit to the lowest six natural frequencies, as measured experimentally, is made. Secondly, stiffness diameters are assumed variable, thereby allowing for deficiencies in the model near discontinuous changes of section, and in this case, the lowest six natural frequencies are matched exactly, but an overall measure of the differences between the actual and the stiffness diameters is minimized. An analysis for the rates of change of natural frequency with the various stiffness properties (i.e. the sensitivities) is presented, and the results of the manipulation discussed.

scholarly journals Development of a Quantitative Model for the Analysis of the Functioning of Integrated TextileSupply Chains

Mathematics ◽  
2019 ◽  
Vol 7 (10) ◽  
pp. 929 ◽  
Author(s):  
Hua ◽  
Memon ◽  
Shah ◽  
Shakhrukh
Keyword(s):  
Mathematical Model ◽  
Supply Chain ◽  
Supply Chains ◽  
Cost Reduction ◽  
Quantitative Model ◽  
Transport Processes ◽  
Integrated Supply Chain ◽  
The Mathematical Model ◽  
Textile Products

The article is devoted to the development of a mathematical model for the analysis of functioning interferonogenic supply chain of textile products. A mathematical model and method of analysis of the functioning of an integrated supply chain of textile products are proposed. A mathematical model contributing to cost reduction in the supply chain of textile products is recommended. The results show that the mathematical model of optimization of placement textile enterprises promotes the decrease of the expenses in the supply chain. The designated model will not only be helpful for managers and enterprises related to textiles, but also for other fields dealing with logistics and supply chains in planning and organization of transport processes.

An accurate and efficient control over the present numerical model of depth of sputtering in focused ion beam milling

2009 ◽  
Vol 223 (1) ◽  
pp. 9-18 ◽  
Author(s):  
S N Bhavsar ◽  
S Aravindan ◽  
P Venkateswara Rao
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Focused Ion Beam ◽  
Ion Beam ◽  
Substrate Material ◽  
Milling Process ◽  
Intensity Function ◽  
Two Parameters ◽  
The Mathematical Model ◽  
Better Than

In many applications, such as fabrication of microtools, microsurgical instruments, microgears, and so on, material must be removed precisely with a focused ion beam (FIB) milling process to generate a specified geometry on substrate material. A mathematical model is available to calculate depth of sputtering at each point on substrate material in order to generate a specified geometry, but the results of the existing model deviates from experimental data. In the current paper, normalized pixel spacing and ratio of redeposition to beam velocity are the two parameters that have been considered in calculation of depth of sputtering during the FIB milling process. A proposed mathematical model incorporating the effect of redeposition has been simulated for parabolic and rectangular trench profiles, and it has been proven to be better than the existing model through comparison with experimental data of parabolic and rectangular geometry on silicon material. In addition, efforts have been made to reduce the amount of numerical calculation in the simulation process by utilizing a Gaussian mask in the existing model instead of the usual Gaussian intensity function. The Gaussian mask prevents the need for repeated calculation of Gaussian intensity function in the mathematical model of depth of sputtering, and in turn reduces the time of computation.

scholarly journals The Verhulst-Like Equations: Integrable OΔE and ODE with Chaotic Behavior

Symmetry ◽  
2019 ◽  
Vol 11 (12) ◽  
pp. 1446 ◽  
Author(s):  
Igor Andrianov ◽  
Galina Starushenko ◽  
Sergey Kvitka ◽  
Lelya Khajiyeva
Keyword(s):  
Mathematical Model ◽  
Dynamical Systems ◽  
Difference Equations ◽  
Chaotic Behavior ◽  
Logistic Equation ◽  
Deterministic System ◽  
Characteristic Parameters ◽  
Chaotic Dynamical Systems ◽  
The Mathematical Model ◽  
Continualization Procedure

In this paper, we study various variants of Verhulst-like ordinary differential equations (ODE) and ordinary difference equations (O Δ E). Usually Verhulst ODE serves as an example of a deterministic system and discrete logistic equation is a classic example of a simple system with very complicated (chaotic) behavior. In our paper we present examples of deterministic discretization and chaotic continualization. Continualization procedure is based on Padé approximants. To correctly characterize the dynamics of obtained ODE we measured such characteristic parameters of chaotic dynamical systems as the Lyapunov exponents and the Lyapunov dimensions. Discretization and continualization lead to a change in the symmetry of the mathematical model (i.e., group properties of the original ODE and O Δ E). This aspect of the problem is the aim of further research.

scholarly journals Modeling Groundwater Surface by MODFLOW Math Code and Geostatistical Method

2018 ◽  
Vol 4 (4) ◽  
pp. 812 ◽  
Author(s):  
Ahmad Tahershamsi ◽  
Atabak Feizi ◽  
Siavash Molaei
Keyword(s):  
Mathematical Model ◽  
Quantitative Model ◽  
Data Sets ◽  
Calibration Data ◽  
Element Analysis ◽  
Geostatistical Method ◽  
Qualitative Models ◽  
Definition Of ◽  
The Mathematical Model ◽  
Surface Changes

Simulation of groundwater flow by mathematical model can be used for developing aquifer balance element analysis scenarios, explaining conditions of droughts, definition of prohibitive extraction policies and analyzing the qualitative models. In this study, the development of a quantitative model in terms of the main parameters affecting on the water surface changes has been performed for the Ardebil plain (located in NW of Iran). Accordingly, a comprehensive processing of raw data sets has been carried-out by means of MODFLOW mathematical model. Also to simulate the groundwater surface changes in the mentioned plain, the geo-statistical method has been used. Results indicate that the mathematical model used in the aquifer balance simulation for the Ardebil plain has approximately 2% relative normal root-mean-square error (NRMSE). This small NRSMSE confirms the model accuracy for the Ardebil plain using the calibration data. Moreover, comparing the results of this method and the ones obtained by mathematical model performed by examining some error criteria like RMSE, Mean, ASE and MS, it is found that the accuracy of the mathematical model is higher than the geostatistical method and the main reason for this is the distribution of uncertainty in a few available piezometric points in the geostatistical method.

Sign in / Sign up

Export Citation Format

Share Document