scholarly journals Modelling of Beetroot Seedlings with Modified Generalized Logistic Functions

2017 ◽  
Vol 21 (3) ◽  
pp. 107-117 ◽  
Author(s):  
Agnieszka Szparaga ◽  
Ewa Czerwińska

AbstractModified generalized logistic functions (also known as Koya-Goshu functions) were used for mathematical description of germination. These functions constitute natural modification of traditionally used Richards' function for description of plants germination that introduces a non-linear time increase in exponent and an element related to time shift. Curves were adjusted to experimental data based on minimization of the square sum of difference between experimental data and a mathematical model (the smallest squares method). Results of simulation research show that the determined parameters of curves (e.g., values of the growth parameter, time shift or upper limit of population) describing the number of seedlings as a time function stay compliant to interpretation with regard to biology of the investigated processes. Based on the research, it was stated that for control and application of plant extracts to soil, Koyu-Gosha model has better adjustment to experimental data in comparison to the generalized logistic model.

2012 ◽  
Vol 550-553 ◽  
pp. 1144-1150
Author(s):  
Wen Jing Sun ◽  
Lin Yu ◽  
Si Lian Yu ◽  
Feng Jie Cui ◽  
Yan Zheng Zhou ◽  
...  

Kinetic models are proposed for the 2KGA batch production from rice starch hydrolysate containing 162 g/L of glucose by Pseudomonas fluorescens AR4. The models include terms accounting for both substrate and product inhibitions. Experimental data collected from the batch fermentations were used to estimate parameters and also to validate the models proposed. The growth of Ps. fluorescens could be expressed by a Logistic model wihout incorporating inhibitions of glucose and organic acids accumulated in the culture broth. The Luedeking–Piret model was able to describe the 2KGA formation as the fermentation proceeded with a mixed-growth-associated pattern. In all cases, the model simulation matched well with the experimental observations, which made it possible to elucidate the fermentation characteristics of Ps. fluorescens AR4 during efficient 2KGA production from glucose.


1997 ◽  
Vol 67 (9) ◽  
pp. 643-653 ◽  
Author(s):  
Ali Akbar Merati ◽  
Fujio Konda ◽  
Masaaki Okamura ◽  
Etsuo Marui

We have analyzed the tension distribution along the yarn tail in the yarn-forming zone of a friction spinning machine by considering the effective parameters of the torque applied to the yarn tail. Tension is applied to the yarn tail by suction air pressure and rotation of friction rollers. The yarn tension in the yarn-forming zone is measured for various yarn counts and suction air pressures. The effects of the parameters on yarn tension are considered in a theoretical analysis based on tension distribution along the conical yarn tail. Theoretical results are compared with me experimental data. The results of this research show that yarn tension increases with increasing suction air pressure and yarn size in tex, and yam diameter decreases with increasing suction air pressure for the same yarn size. Therefore, because of the low tension experienced with fine yarns, it is difficult to properly produce such yarns through friction spinning.


2021 ◽  
pp. 107754632110310
Author(s):  
Chapel Rice ◽  
Jay I Frankel

This article proposes and demonstrates a calibration-based integral formulation for resolving the forcing function in a mass–spring–damper system, given either displacement or acceleration data. The proposed method is novel in the context of vibrations, being thoroughly studied in the field of heat transfer. The approach can be expanded and generalized further to multi-variable systems associated with machine parts, vehicle suspensions, translational and rotational systems, gear systems, etc. when mathematically described by a system of constant property, linear, time-invariant ordinary differential equations. The analytic approach and subsequent numerical reconstruction of the forcing function is based on resolving a parameter-free inverse formulation for the equation(s) of motion. The calibration approach is formulated in the frequency domain and takes advantage of several observations produced by the dimensionality reduction leading to an algebratized system involving an input–output relationship and a transfer function possessing all the system parameters. The transfer function is eliminated in lieu of experimental data, from a calibration effort, thus leading to a reduction of systematic errors. These parameter-free, reduced systematic error aspects are the distinct and novel advantages of the proposed method. A first-kind Volterra integral equation is formed containing only the unknown forcing function and experimental data. As with all ill-posed problems, regularization must be introduced for system stabilization. A future-time technique is instituted for forming a family of predictions based on the chosen regularization parameter. The optimal regularization parameter is estimated using a combination of phase–plane analysis and cross-correlation principles. Finally, a numerical simulation is performed verifying the proposed approach.


2013 ◽  
Vol 744 ◽  
pp. 23-26
Author(s):  
Fan He Meng ◽  
Jun Hua Zhang

For the limitations of the existing hydraulic test bench for experimenting with multi-species of hydraulic components, the additional cartridge valve circuit and multi-way directional valve circuit were designed. The AMESim simulation models of the hydraulic test benchs basic hydraulic circuits were established and simulated. Then the simulation results were compared with the experimental data to get some principles of simulation modeling and optimize the models. These principles were used to simulate the additional hydraulic circuits. Through analysis of the simulation results, theory supports were provided to the optimal design of hydraulic test bench. In this way, the existing hydraulic test bench can be fully used and the suitable components were selected, reducing the waste of resources. Besides, the simulation models can be used as part of the virtual hydraulic teaching.


2012 ◽  
Vol 487 ◽  
pp. 166-170
Author(s):  
Yan Lei Jiang ◽  
Han Lian

This paper investigates the complex controlled object. A method of fuzzy-network is proposed. Results of simulation research show that the controller has not only high self-study ability, but also high robustness, and let the performance in AC speed adjustment system quickly improve.


Energies ◽  
2020 ◽  
Vol 13 (19) ◽  
pp. 5129
Author(s):  
Fernando Jaramillo-Lopez ◽  
Brian Flannery ◽  
Jimmy Murphy ◽  
John V. Ringwood

In order to increase the prevalence of wave energy converters (WECs), they must provide energy at competitive prices, especially when compared with other renewable energy sources. Thus, it is imperative to develop control system technologies that are able to maximize energy extraction from waves, such that the delivered energy cost is reduced. An important part of a model-based controller is the model that it uses. System identification techniques (SITs) provide methodologies to get accurate dynamic models from input-output data. However, even though these techniques are well developed in other application areas, they are seldom used in the context of WECs. This paper proposes several strategies based on SIT to get a linear time-invariant model for a three-body hinge-barge wave energy device using experimental data. The main advantage of the model obtained with this methodology, against other methods such as linear potential theory, is that this model remains valid even for relatively large waves and WEC displacements. Other advantages of this model are its simplicity and the low computational resources that it needs. Numerical simulations are carried out to show the validation of the obtained model against recorded experimental data.


2021 ◽  
Vol 7 (1) ◽  
pp. 124-136
Author(s):  
Kingsley Chidozie Agu ◽  
Mujeeb Koyejo Oduola

Ethanol production via the batch fermentation of sugarcane juice using immobilized yeast has been studied. The influence of glucose concentration, ethanol concentration, and cell concentration (biomass) on the process rate throughout the period of fermentation has been investigated. Initial cell concentration was found to be 4.60 g/L saccharomyces cerevisiae. Biomass, ethanol and glucose concentrations were measured at different time interval during fermentation. The experimental data obtained were fitted using a variety of models for yeast growth. The logistic model gave the best fitting and was the basis for the development of the overall kinetic model. For ethanol formation, different model based on the logistic model for yeast growth were used to fit the experimental data and the leudeking – piret model was adopted because of its good fit. The leudeking – piret model was also adopted for substrate consumption. The estimated values of the kinetic parameters in the developed model were μm=0.04216hr-1, Xm = 6.2652g/L, α = 24.87149g/g.hr, Yx/s = 0.18292g/g and m = 0.008171g/g.hr. Therefore, a model based on the logistic equation of yeast growth, growth associated production of ethanol, and consumption of glucose for biomass and maintenance was found to accurately fit the production of ethanol from sugarcane.


2019 ◽  
Vol 11 (2) ◽  
pp. 289-307
Author(s):  
Felina Kusnakhin

Financial management involves understanding and transferring assets and liabilities of the company, including freedom of use of profits, liability and debt, cash flow and profitability. Meanwhile every strategy exposes business people to trade-offs that present benefits and risks. Selling on credit is one of the strategies that helps companies to increase sales and maintain customer relationships, but on the other hand it presents the risk of billing. This research is intended to provide a solution to the problem of the duration billing.The research method used in this study is a descriptive study method. A research method todescribe the characteristics of people, events, or situations. In this study, the research object in question is CV. Y. The research began with calculating the effect of trade receivables on the company's financial statements, especially on the value of net cash increases. The study continued with a credit simulation of changes in credit terms by setting cash discounts, cash discount periods and payment limits. As for each credit terms of the simulation produces different effects on several costs associated. As for credit terms, too tight credit terms will cause a loss of sales and too loose credit terms will lead to bad expense. The simulation showed that every credit terms will lead to different profit projection. Overall, the results of the simulation research show that every credit terms will increase the profit. Keywords: Credit Terms, Sales on Credit, Profits


Author(s):  
Ērika Teirumnieka ◽  
Ilmārs Kangro ◽  
Edmunds Teirumnieks ◽  
Harijs Kalis ◽  
Aigars Gedroics

Bogs have been formed by an accumulation of peat - a light brown-to-black organic material, built up from partial decomposition of mosses and other bryophytes, sedges, grasses, shrubs, or trees under waterlogged conditions. The total peatlands area in Latvia covers 698 918 ha or 10.7% of the entire territory. Knowledge’s of peat metals content are important for any kind of peat using. Experimental determination of metals in peat is very long and expensive work. Using experimental data mathematical model for calculation of concentrations of metals in different points for different layers can help to very easy and fast to find approximately concentration of metals or trace elements. The results of the research show that concentrations of trace elements in peat are generally low. Concentrations differ between the superficial, middle and bottom peat layers, but the significance decreases depending on the type of mire. The mathematical model for calculation of concentration of metals in different points for different 3 layers in peat blocks is developed. As an example, mathematical models for calculation of Ca and Fe concentrations have been analyzed.


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