A mathematical study on non-liner steady state reaction-diffusion equations in transport and kinetics at carbon nanotube

V. Vijayalakshmi; Vembu Ananthaswamy; J. Anantha Jothi; Seenith Sivasundaram

V. Vijayalakshmi The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
Vembu Ananthaswamy The Madura College, Madurai, Tamil Nadu, India.
J. Anantha Jothi The Madura College (Affiliated to Madurai Kamaraj University), Madurai, Tamil Nadu, India.
Seenith Sivasundaram College of Science, Engineering and Mathematics, Daytona Beach, Florida 321114, USA

Abstract

A mathematical modelling of kinetics and transport of substrate, redox-mediator concentrations in surface deposited films and currents are derived. The model is created on nonlinear reaction-diffusion equations with nonlinear terms related to enzymatic reactions of Michaelis- Menten kinetics. This paper provides semi-analytical expressions of substrate and redoxmediator for steady-state conditions. These nonlinear reaction-diffusion equations in amperometric biosensors are solved by using the Adomian Decomposition Method (ADM). The effect on current density of various parameters is explained. The numerical simulation of concentration profiles and fluxes are achieved and compared with our analytical solutions. It is mentioned that a good agreement is noted.