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<p>Theoretical modelling of an amperometric biosensor, including product inhibition kinetics, is discussed. The non-stationary diffusion equations that govern these models have a nonlinear part about the non-Michaelis–Menten mechanism. The Akbari–Ganji method and hyperbolic function method derives analytical results for concentration of substrate, product, current and sensitivity for all input values of parameters. The consequence of variables on the concentration and sensitivity of biosensors is also discussed. A comparison between our approximate analytical findings and numerical simulations is also shown. An acceptable agreement has been noted<Emphasis Type="BoldItalic">.</Emphasis></p>

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Theoretical Analysis of Nonlinear Process in Amperometric Biosensor Using Akbari–Ganji and Hyperbolic Function Method

  • 期刊论文

  • 发表日期：

    2025年3月26日

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  • S. Denita Rajachelin,
  • R. Usha Rani,
  • L. Rajendran

摘要

Theoretical modelling of an amperometric biosensor, including product inhibition kinetics, is discussed. The non-stationary diffusion equations that govern these models have a nonlinear part about the non-Michaelis–Menten mechanism. The Akbari–Ganji method and hyperbolic function method derives analytical results for concentration of substrate, product, current and sensitivity for all input values of parameters. The consequence of variables on the concentration and sensitivity of biosensors is also discussed. A comparison between our approximate analytical findings and numerical simulations is also shown. An acceptable agreement has been noted.