Quantitative Analysis Of Performance Of A Hydrogen Peroxide–Based Glucose Biosensor

2012 ◽  
Author(s):  
Azila Abd. Aziz
Keyword(s):  
Mathematical Model ◽  
Polyvinyl Alcohol ◽  
Gold Electrode ◽  
Immobilized Enzyme ◽  
Glucose Biosensor ◽  
Internal Layer ◽  
External Layer ◽  
The Mathematical Model ◽  
Analysis Of Performance ◽  
Enzyme Layer

Satu biosensor glukosa separa telah dibina menggunakan satu lapisan dalaman yang selektif, satu lapisan enzim dan satu elektrod emas. Kedua–dua lapisan membran tersebut adalah berasaskan polivinil alcohol (PVA) tersambung silang. Prestasi biosensor glukosa tersebut telah dinilai terutamanya prestasi terhadap gangguan asetaminofen, yang merupakan molekul tak ionik. Sensitiviti enzim tersekat gerak tersebut terhadap glukosa adalah tinggi tetapi ianya tidak mencukupi untuk melawan gangguan asetaminofen. Kehadiran lapisan dalaman PVA yang hanya sederhana selektif tidak menyebabkan kesan yang ketara pada gangguan. Satu model matematik kemudiannya digunakan untuk menganalisis prestasi biosensor yang lengkap. Satu lapisan luar ditambah secara simulasi kepada dua lapisan terdahulu. Model matematik tersebut meramalkan bahawa penambahan satu lapisan luar yang mempunyai kebolehtelapan yang rendah terhadap bahan larut mampu memperbaiki prestasi sensor. Kata kunci: Biosensor glukosa; model matematik; asetaminofen; gangguan elektrokimia; polivinil alkohol tersambung silang A partial glucose biosensor was constructed using a selective internal layer, an enzyme layer and a gold electrode. Both membrane layers are based on cross–linked polyvinyl alcohol (PVA). The performance of the partial glucose biosensor was analyzed particularly with respect to the interfering effects of acetaminophen, a non–ionic molecule. The sensitivity of the immobilized enzyme to glucose was high but it was not high enough to counter acetaminophen interference. The addition of the moderately selective PVA internal layer did not seem to have a significant effect on interference. A mathematical model was then used to analyze the performance of a completed biosensor. A simulated external layer was added to the two layers. The mathematical model predicted that the addition of an external layer with lowered permeability to solutes could improve the performance of the sensor. Key words: Glucose biosensor; mathematical modeling; acetaminophen; electrochemical interference; cross-linked polyvinyl alcohol

scholarly journals MODELO MATEMÁTICO PARA LA TRANSFRUCTOSILACIÓN DE ESTEVIÓSIDO CON - FRUCTOFURANOSIDASA INMOVILIZADA

2019 ◽  
pp. 13-18
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Immobilized Enzyme ◽  
Kinetic Equations ◽  
Particle Diffusion ◽  
Palabras Clave ◽  
El Sistema ◽  
Partition Equilibrium ◽  
The Mathematical Model ◽  
Total Enzyme

MODELO MATEMÁTICO PARA LA TRANSFRUCTOSILACIÓN DE ESTEVIÓSIDO CON - FRUCTOFURANOSIDASA INMOVILIZADA MATHEMATICAL MODEL FOR TRANSFRUCTOSYLATION OF STEVIOSIDE USING ImmOBILIZED - FRUCTOFURANOSIDASE Fiorella Cárdenas T. Departamento de Ingeniería Química, Universidad de Tohoku, Japón DOI: https://doi.org/10.33017/RevECIPeru2010.0002/ RESUMEN En el presente articulo, un modelo matemático fue diseñado para la transfructosilación de esteviósido con b-fructofuranosidasa inmovilizada considerando el equilibrio de partición entre la fase liquida y la fase de partícula, difusión y reacción dentro de la partícula. Las constantes cinéticas fueron estimadas mediante el ajuste de las ecuaciones cinéticas con los resultados experimentales de la síntesis de fructosil-esteviósido con enzima libre. Las otras constantes fueron estimadas mediante el ajuste del modelo matemático con resultados experimentales de coeficiente de equilibrio de partición, y síntesis de fructosil-esteviósido con enzima inmovilizada. El modelo describe la formación de fructosil-esteviósido en el tiempo para varias condiciones de concentración inicial de sustrato y enzima total en el sistema. Palabras clave: transfructosilación, fructosil-esteviósido, análisis cinético, modelo matemático. ABSTRACT In the present article, a mathematical model for the b- immobilized fructofuranosidase was constructed considering the partition equilibrium between the liquid phase and the particle, diffusion and reaction within the particle. The kinetic constants were estimated by fitting the kinetic equations with the experimental data of the fructosyl-stevioside experiments using suspended enzyme. The other constants were estimated by fitting the mathematical model with experimental data of partition equilibrium coefficient, and fructosyl-stevioside synthesis using immobilized enzyme. The model could describe the fructosyl-stevioside formation under several conditions of initial concentration of substrate and total enzyme in the system. Keywords: Transfructosilation, fructosyl – stevioside, kinetic analysis, mathematical model.

scholarly journals Kompiuterinis optinio biojutiklio savybių tyrimas taikant bedimensį modelį

2009 ◽  
Vol 50 ◽  
pp. 306-310
Author(s):  
Evelina Gaidamauskaitė ◽  
Romas Baronas
Keyword(s):  
Mathematical Model ◽  
Digital Simulation ◽  
Reaction Diffusion ◽  
Optical Biosensor ◽  
Reaction Diffusion Equations ◽  
Computational Investigation ◽  
Linear Reaction ◽  
The Mathematical Model ◽  
Enzyme Layer ◽  
Biosensor Response

Šiame darbe, siekiant nustatyti pagrindinius kinetinius peroksidazinio optinio biojutiklio matematinio modelio parametrus, buvo sudarytas bedimensis modelis. Biojutikliui taikomos reakcijos-difuzijos lygtys su netiesiniu nariu, aprašančiu fermentinę reakciją. Biojutiklio veikimas modeliuojamas fermento ir difuzijos sluoksniuose. Ištirta biojutiklio atsako ir jautrio priklausomybė nuo bedimensio biojutiklio modulio. Suformuluotas uždavinys sprendžiamas baigtinių skirtumų metodu. Gauti rezultatai pagrindžia šio modelio pritaikomumą. Atliekami peroksidazinio optinio biojutiklio eksperimentiniai tyrimai leis nustatyti modelio taikymo ribas.A Computational Investigation of the Optical Biosensor by a Dimensionless ModelEvelina Gaidamauskaitė, Romas Baronas SummaryIn order to determine the main governing parameters, a dimensionless mathematical model of a peroxidase-based optical biosensor is derived. The mathematical model of the biosensor is based on a system of non-linear reaction-diffusion equations. The modelled biosensor comprises two compartments, an enzyme layer and an outer diffusion layer. The influence of the dimensionless diffusion modulus on the biosensor response and the sensitivity is investigated. The digital simulation was carried out using a finite difference method.

scholarly journals Graph Theory of Tower Tasks

2012 ◽  
Vol 25 (1) ◽  
pp. 13-22 ◽  
Author(s):  
Andreas M. Hinz
Keyword(s):  
Mathematical Model ◽  
Graph Theory ◽  
The State ◽  
State Graph ◽  
Problem Space ◽  
Test Tool ◽  
The Mathematical Model ◽  
Analysis Of Performance ◽  
Selection Of

The appropriate mathematical model for the problem space of tower transformation tasks is the state graph representing positions of discs or balls and their moves. Graph theoretical quantities like distance, eccentricities or degrees of vertices and symmetries of graphs support the choice of problems, the selection of tasks and the analysis of performance of subjects whose solution paths can be projected onto the graph. The mathematical model is also at the base of a computerized test tool to administer various types of tower tasks.

scholarly journals Numerical simulation of the influence of the fluctuations of the biosensor’s parameters on its response

2019 ◽  
Vol 50 ◽  
pp. 345-350
Author(s):  
Olga Štikonienė ◽  
Feliksas Ivanauskas
Keyword(s):  
Numerical Simulation ◽  
Mathematical Model ◽  
Diffusion Coefficients ◽  
Glucose Biosensor ◽  
The Mathematical Model

The mathematical model of the electrochemical glucose biosensor based on the enzymatic conversionof the substrate and the diffusion of the substrate was used. The influence of the fluctuations of themembrane thickness, the diffusion coefficients and pH were modelled and their impact was evaluated atdifferent modes of an action of the biosensor.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

Computer Simulation of the Response of Amperometric Biosensors in Stirred and non Stirred Solution

2003 ◽  
Vol 8 (1) ◽  
pp. 3-18 ◽  
Author(s):  
R. Baronas ◽  
F. Ivanauskas ◽  
J. Kulys
Keyword(s):  
Mathematical Model ◽  
Computer Simulation ◽  
Finite Difference ◽  
Mass Transport ◽  
Enzyme Reaction ◽  
Analyte Concentration ◽  
Amperometric Biosensors ◽  
Finite Difference Technique ◽  
Enzyme Layer ◽  
Biosensor Response

A mathematical model of amperometric biosensors has been developed to simulate the biosensor response in stirred as well as non stirred solution. The model involves three regions: the enzyme layer where enzyme reaction as well as mass transport by diffusion takes place, a diffusion limiting region where only the diffusion takes place, and a convective region, where the analyte concentration is maintained constant. Using computer simulation the influence of the thickness of the enzyme layer as well the diffusion one on the biosensor response was investigated. The computer simulation was carried out using the finite difference technique.

Mathematical Models of Papermaking

2001 ◽  
Vol 6 (1) ◽  
pp. 9-19 ◽  
Author(s):  
A. Buikis ◽  
J. Cepitis ◽  
H. Kalis ◽  
A. Reinfelds ◽  
A. Ancitis ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Initial Value Problems ◽  
Moisture Transfer ◽  
Bound Water ◽  
Drying Process ◽  
Initial Value ◽  
First Order ◽  
Heat And Moisture ◽  
The Mathematical Model ◽  
The Web

The mathematical model of wood drying based on detailed transport phenomena considering both heat and moisture transfer have been offered in article. The adjustment of this model to the drying process of papermaking is carried out for the range of moisture content corresponding to the period of drying in which vapour movement and bound water diffusion in the web are possible. By averaging as the desired models are obtained sequence of the initial value problems for systems of two nonlinear first order ordinary differential equations. 

Sign in / Sign up

Export Citation Format

Share Document