Mathematical analysis of urea amperometric biosensor with Non-Competitive inhibition for Non-Linear Reaction-Diffusion equations with Michaelis-Menten kinetics

Theoretical Analysis of Pre-Steady State Behaviour of Non-Linear Double Intermediate Enzymatic Reaction

“…As per (9), the variable reaches a steady state concerning the present values of s and z. (1) and ( 4) dictate s and z's evolution.…”

“…Effective mathematical modelling serves as a valuable tool for elucidating enzymatic reaction processes. Since direct analytical solutions are unavailable for many non-linear enzymatic reaction equations, employing approximate analytical methods such as the variational iteration method (VIM) [4,5], Akbari Ganji method (AGM) [6,7], differential transform method (DTM) [8,9], homotopy perturbation method (HPM) [10,11], and homotopy analysis method (HAM) [12,13] becomes essential for obtaining analytical solutions. Most realistic models across chemistry, engineering, biology, and physics exhibit nonlinearity, making obtaining analytical solutions for such systems impractical.…”