Madura College

Madurai, India

Madura College

Madurai, India
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Rajeswari M.,Fatima College | Hamid I.S.,Madura College
Tamkang Journal of Mathematics | Year: 2017

Let G be a graph. Among all χ-colorings of G, a coloring with the maximum number of color classes that are global dominating sets inG is called a global dominating-χ-coloring of G. The number of color classes that are global dominating sets in a global dominating-χ-coloring of G is defined to be the global dominating -χ- color number of G, denoted by gdχ(G). This concept was introduced in [5]. This paper extends the study of this notion.


Marimuthu G.,Madura College
Information Sciences | Year: 2014

A (p,q) graph G with p vertices and q edges is edge magic graceful if there exists a bijection f:V(G)∪E(G)→{1,2,⋯,p+q} such that |f(u)+f(v)-f(uv)|=k, a constant for any edge uv of G. G is said to be super edge magic graceful if f(V(G))={1,2,⋯,p}. In this paper we present some properties of super edge magic graceful graphs. Using these properties, we prove some classes of graphs are super edge magic graceful. Then we exhibit the relationship between super edge magic graceful labeling and other well studied classes of labelings. In particular, we prove that every super edge magic graceful graph with either f(uv)>f(u)+f(v) for all uvεE(G) or f(uv)


A mathematical model of amperometric biosensor is analysed. This model is based on catechol-polyphenol oxidase as a prototype electroenzymatic model system. This paper presents an approximate analytical method (He's Homotopy perturbation method) to solve the system of non-linear differential equations for Michaelis-Menten formalism that describe the concentrations of substrates and product within the enzymatic layer. Analytical expressions for substrate concentrations, product concentration and corresponding current response have been derived for all values of parameters using Homotopy perturbation method. These results are compared with simulation results (Scilab program) and are found to be in good agreement. The obtained results are valid for the whole solution domain. © 2011 Elsevier Ltd. All rights reserved.


Loghambal S.,Madura College | Rajendran L.,Madura College
Journal of Electroanalytical Chemistry | Year: 2011

A theoretical model of an electrochemical reduction of nitrate ion is presented. Analytical expressions pertaining to the concentration of nitrate, nitrite, ammonia, and nitrogen are obtained in terms of reaction rate constant. Simple and closed expression of current is also derived. In this paper, a powerful analytical method, called Homotopy Analysis Method (HAM) is used to obtain approximate analytical solutions for a nonlinear ordinary differential equation. The main objective is to propose an analytical method of solution, which do not require small parameters and avoid linearization and physically unrealistic assumptions. The obtained analytical solution in comparison with the numerical ones is found to be in satisfactory agreement. © 2011 Elsevier B.V. All rights reserved.


Rasi M.,Madura College | Rajendran L.,Madura College | Subbiah A.,CSIR - Central Electrochemical Research Institute
Sensors and Actuators, B: Chemical | Year: 2015

Mathematical modeling pertaining to the catalytic response of a redox enzymatic system is discussed. The model proposed herein describes the relationship between the electrochemical responses and the kinetic characteristics of the enzymatic reaction. The analytical expressions corresponding to the concentration of co-substrate for steady and non-steady state conditions have been obtained using a new approach to homotopy perturbation method (HPM). Analytical expressions of the plateau current are also presented for steady and non-steady state conditions. Upon comparison, we found that the analytical results of this work are in excellent agreement with the existing limiting case results. Further, the sensitivity of the parameter in transient current potential was also analyzed due to its importance in predicting the relationship between the input value of the parameter and the model results. © 2014 Elsevier B.V. All rights reserved.


Loghambal S.,Madura College | Rajendran L.,Madura College
Electrochimica Acta | Year: 2010

An analysis of the diffusion and kinetics in amperometric immobilized enzyme electrodes is presented for reactions of the enzyme and substrate. This analysis contains a non-linear term related to Michaelis-Menten kinetics. In this paper, we obtain approximate analytical solutions for the non-linear equations that describe diffusion and the reaction within the film by employing the homotopy perturbation method (HPM). The obtained analytical results are compared with the available limiting case results and found to be in satisfactory agreement. © 2010 Elsevier Ltd. All rights reserved.


Manimozhi P.,Madura College | Rajendran L.,Madura College
Journal of Electroanalytical Chemistry | Year: 2010

A mathematical modeling of real-time surface plasmon resonance (SPR) imaging measurements of surface enzymatic reactions on DNA microarrays are examined using a kinetics model that couples the contribution of both enzyme adsorption and surface enzyme reaction kinetics. The enzymatic reaction can be described in terms of classical Langmuir adsorption and Michaelis-Menten concepts and three rate constants: enzyme adsorption (ka), enzyme desorption (kd) and enzyme catalysis (kcat). In this paper, the analytical solution of the fractional surface coverage for the three surface species ES, S and S are derived. In the presence of catalytic activity, the numerical solution of the problem is also reported using Matlab software program. All the analytical results are compared with our numerical results.© 2010 Elsevier B.V. All rights reserved.


Eswari A.,Madura College | Rajendran L.,Madura College
Journal of Electroanalytical Chemistry | Year: 2010

The steady state concentration and current occurring at a microdisk enzyme electrode when a product from an immobilized enzyme reacts with the electrode is derived. A closed form of an analytical expression of concentration for the full range of enzyme activities has been derived. A simple approximate analytical expression of current in terms of all dimensionless parameters for film thickness r1 / r0 and enzyme kinetic χ r0 for all values of Michaelis-Menten constant is also reported. Available limiting case results are compared with our results and are found to be in good agreement. Crown Copyright © 2010.


Eswari A.,Madura College | Rajendran L.,Madura College
Journal of Electroanalytical Chemistry | Year: 2010

An analysis of the diffusion and kinetics in an enzyme-modified microcylinder electrodes is presented. A simple approximate analytical expression of concentration is derived for the cases where the enzyme is immobilized in a metallically conducting, or a non-conducting matrix. This is done by using Homotopy perturbation method. A closed approximate analytical expression of current is also reported in terms of all dimensionless parameters for film thickness (r1/r0 = α), enzyme kinetics (χr0) and for all values of Michaelis-Menten constant (K M). Available limiting case results are compared with our results and are found to be in good agreement. The model is also extended to the chemical sensor case, of a conducting polymer without enzyme. © 2010 Elsevier B.V. All rights reserved.


Gajendran P.,Madura College | Saraswathi R.,Madurai Kamaraj University
Journal of Solid State Electrochemistry | Year: 2013

The electrocatalytic properties of poly(o-phenylenediamine) (PoPD)-Pt-Ru nanocomposite electrode for methanol oxidation have been investigated by linear sweep and cyclic voltammetry. The Pt-Ru ion concentration ratio in the electrodeposition bath is varied in the ratios of 1:0.25, 1:0.5, 1:1, 1:2, and 1:4. The morphology and particle size of the nanocomposites are obtained from the scanning electron microscopy data. The onset potential for the oxidation of methanol is found to be effectively reduced by 220 mV for the (PoPD)-Pt-Ru (1:1) nanocomposite compared to PoPD-Pt electrode. Also, the PoPD-Pt-Ru (1:1) composite shows a value of 4.2 for the ratio of forward to reverse peak current which is relatively a high value that can be observed among the conducting polymer-based catalysts used for methanol oxidation. The results are substantiated by the polarization and stability data. © 2013 Springer-Verlag Berlin Heidelberg.

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