In this work, the variational direct method (VDM) based on the variational theory and Ritz-
like method, combined with the fractal two-scale transformation, is employed to construct the …

In this paper, the integrable (2+ 1)-dimensional Maccari system (MS), which can model
many complex phenomena in hydrodynamics, plasma physics and nonlinear optics, is …

Diffusion and kinetics of amperometric immobilized enzymes on the planar, cylindrical and
spherical electrodes are discussed. This model is described as a set of non-linear reaction …

In this article, a new (2+ 1)‐dimensional local fractional breaking soliton equation is derived
with the local fractional derivative. Applying the traveling wave transform of the non …

This article reports a theoretical analysis of the reaction-transport processes of the
Putrescine enzymatic biosensor inside the sensitive layer under steady-state conditions. It …

Theoretical models of an amperometric biosensor with product inhibition kinetics are
discussed. These models are based on non-stationary diffusion equations containing a non …

In this paper, an amperometric biosensor model with substrate and product inhibition
kinetics is analysed. This model is a steady-state system of reaction-diffusion equations with …

In this study, we have investigated the mathematical model of an immobilized enzyme
system that follows the Michaelis–Menten (MM) kinetics for a micro-disk biosensor. The film …

The concentration of glucose in sweat recently has been measured with high sensitivity,
selectivity, and reproducibility by nanostructured NiO electrodes manufactured by the …

The present paper aims to investigate the influence of perforated membrane geometry on
the performance of biosensors. For this purpose, a 2-D axisymmetric model of an …