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<p>This article models the response of an amperometric biosensor under the influence of coupled enzyme activity and diffusion constraints. This model usually includes mass transport (diffusion), enzyme kinetics and electrochemical processes at the electrode surface. Three fundamental aspects of the activity of enzymes (first-order, Michaelis–Menten and Ping-Pong kinetics) are analyzed in a diagnostic biosensor system. This work uses innovative homotopy perturbation techniques to provide accurate analytical approaches for the non-linear problems for steady-state environments. Theoretical computations for substrate and co-substrate concentrations and the associated current response have been obtained in simple and closed forms for all feasible parameter values.The problem's numerical simulation using the Scilab tool is also presented here. The analytical and numerical findings show good agreement. The capacity to forecast and regulate enzyme activity in various contexts paves the way for substantial scientific progress, with prospective applications in medicines, biofuels, and commercial biochemical processes.</p>

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A Kinetic Model for Amperometric Biosensor in Dynamic Mode to Various Enzyme Reactions: Theoretical and Numerical Approach

  • 期刊论文

  • 发表日期：

    2025年8月5日

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  • R. Priyanka,
  • M. Rasi,
  • S. V. Vani,
  • L. Rajendran,
  • D. SivaKumar

摘要

This article models the response of an amperometric biosensor under the influence of coupled enzyme activity and diffusion constraints. This model usually includes mass transport (diffusion), enzyme kinetics and electrochemical processes at the electrode surface. Three fundamental aspects of the activity of enzymes (first-order, Michaelis–Menten and Ping-Pong kinetics) are analyzed in a diagnostic biosensor system. This work uses innovative homotopy perturbation techniques to provide accurate analytical approaches for the non-linear problems for steady-state environments. Theoretical computations for substrate and co-substrate concentrations and the associated current response have been obtained in simple and closed forms for all feasible parameter values.The problem's numerical simulation using the Scilab tool is also presented here. The analytical and numerical findings show good agreement. The capacity to forecast and regulate enzyme activity in various contexts paves the way for substantial scientific progress, with prospective applications in medicines, biofuels, and commercial biochemical processes.