A Comparison of Finite Difference Schemes for Computational Modelling of Biosensors

Abstract. This paper presents a one-dimensional-in-space mathematical model o f an amperometric biosensor. The model is based on the reaction-diffus ion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzym atic reactions. The stated problem is solved numerically by applying the finite diff rence method. Several types of finite difference schemes are used. The nu merical results for the schemes and couple mathematical software packages are compared a nd verified against known analytical solutions. Calculation results are compared in terms of the precision and computation time.