| Abstract [eng] |
Biosensor is an analytical device that detects a biological signal by converting it into an electrical signal. The development and production of in vitro biosensors requires time-consuming experiments and often expensive reagents. Direct and indirect costs can be reduced by developing mathematical models for biosensors and numerically solving them. During this work, a biosensors mathematical model, which incorporates substrate, product, enzyme and enzyme-product complex kinetics, is analysed. The system of three nonlinear diffusion-reaction equations is solved. Different numerical methods are described: Crank–Nicolson finite difference method, iterative method, numerical differentiation. The biochemical model of the modeled system is presented: kinetics of enzymatic reactions, diffusion process. The numerical experiment, which focuses on finding the response of the biosensor, was implemented in PYTHON programming language. A database of biosensor response dependence on the initial conditions is created. The biosensor's response to the influence of biochemical characteristics was analysed. Determination of the initial conditions was elaborated by formulating the equations of the relationship between the response and the initial conditions of the biosensor and by using the machine learning. |
