Mathematical and computational modeling of biosensors: Modeling for enzyme-substrate interaction and biomolecular interaction

The main components of biosensors are based on well-understood physical processes (such as diffusion, convective flow, energy and mass transfer) as well as chemical and biological reactions, all of which are amenable to differential equations. Using mathematical and computational modeling techniques to characterize the biosensor response as a function of its input parameter in wide range of physical contexts, it can guide experiments, therefore reducing development times and costs. In this paper we investigate the problem of optimizing biosensor design using an interdisciplinary approach which combines mathematical and computational modeling with electrochemistry and biochemistry techniques. Specifically, a model for enzyme-substrate interaction and a model for biomolecular interaction will be developed and used as building blocks towards describing more complex electrochemical immunoassay systems. The ultimate goal is to develop a flexible, modular mathematical model, which can be used towards a software platform capable of predicting the behavior of a wide range of electrochemical and optical biosensor. Key–Words: Biosensor, electrochemical biosensor, enzyme-substrate kinetics, biomolecule interaction, diffusion equations, boundary conditions, numerical simulations.