Modeling of nonlinear boundary value problems in enzyme-catalyzed reaction diffusion processes

Rahamathunissa, G.; Manisankar, P.; Rajendran, L.; Venugopal, K.

doi:10.1007/s10910-010-9752-9

Cited by 6 publications

(2 citation statements)

References 25 publications

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“…On enzymatic biosensor, the steady state analytical expression of concentration of substrate is derived using variational iteration method [11]. A monolayer potentiometric biosensor response for a polymer-modified electrode system has been discussed by Rahamathunissa et al [12]. The biosensors can be used for biomedical applications [13] and electric circuits [14].…”

Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Multienzyme Biosensor System

Ganesan¹,

Saravanakumar²,

Rajendran³

2014

International Journal of Computational Mathematics

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A mathematical model of hybrid inhibitor biosensor system is discussed. This model consists of five nonlinear partial differential equations for bisubstrate sensitive amperometric system. Simple and closed form of analytical expressions for concentration of glucose-6-phosphate (substrate), potassium dihydrogen phosphate (inhibitor), oxygen (co-substrate), glucose (product 1), and hydrogen peroxide (product 3) is obtained in terms of rate constant using modified Adomian decomposition method (MADM). In this study, behavior of biokinetic parameters is analyzed using this theoretical result. The obtained analytical results (concentrations) are compared with the numerical results and are found to be in satisfactory agreement.

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Section: Introductionmentioning

confidence: 99%

Mathematical Modeling of Multienzyme Biosensor System

Ganesan¹,

Saravanakumar²,

Rajendran³

2014

International Journal of Computational Mathematics

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“…Mathematical modeling of enzyme kinetics is given in the books by Rubinow [10], Murray [11], Segel [12] and Roberts [13]. Recently Rajendran and his team also solved some non linear problems in enzyme reaction kinetics [14][15][16][17][18][19]. The purpose of this communication is to derive asymptotic approximate expressions for the concentration of substrate and product in enzyme inhibition process.…”

Section: Introductionmentioning

confidence: 99%

Analytical expressions of the concentrations of substrate and product in enzyme inhibition process

Muthukumar¹,

Rajendran²

2013

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The initial and boundary value problem in enzyme reactions mechanism for inhabitation process is discussed. Approximate analytical expressions for the concentrations of substrate and product are presented. Approximate analytical solutions of non-linear reaction equations containing non-linear terms related to enzymatic reaction mechanism are solved using Homotopy perturbation method. The relevant analytical expression for the substrate and product concentration profiles is discussed in terms of dimensionless reaction diffusion parameters α, β, γ_E, and γ_S. Numerical solution is also obtained using Matlab program. Our analytical expression compared with numerical estimation and good agreement is noted

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Understanding the kinetics of catalysed reactions in microheterogeneous thin film electrodes

Lyons

2020

Journal of Electroanalytical Chemistry

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Modeling of nonlinear boundary value problems in enzyme-catalyzed reaction diffusion processes

Cited by 6 publications

References 25 publications

Mathematical Modeling of Multienzyme Biosensor System

Mathematical Modeling of Multienzyme Biosensor System

Analytical expressions of the concentrations of substrate and product in enzyme inhibition process

Understanding the kinetics of catalysed reactions in microheterogeneous thin film electrodes

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