Mathematical Modeling of Biosensors: An Introduction for Chemists and Mathematicians

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This book presents biosensor development and modeling from both a chemical and a mathematical point of view. It contains unique modeling methods for catalytical (amperometric, potentiometer and optical) biosensors. It examines processes that occur in the sensors' layers and at their interface, and it provides analytical and numerical methods to solve enzymatic kinetic and diffusion equations. The action of single enzyme as well as polyenzyme biosensors is studied, and the modeling of biosensors that contain perforated membranes and multipart mass transport profiles is critically investigated. Furthermore, it is fully described how signals can be biochemically amplified, how cascades of enzymatic substrate conversion are triggered, and how signals are processed via a chemometric approach and artificial neuronal networks. The results of digital modeling are compared with both proximal analytical solutions and experimental data.

Author(s): Romas Baronas, Feliksas Ivanauskas, Juozas Kulys (auth.)
Series: Springer Series on Chemical Sensors and Biosensors 9
Edition: 1
Publisher: Springer Netherlands
Year: 2010

Language: English
Pages: 334
Tags: Math. Applications in Chemistry;Computational Mathematics and Numerical Analysis;Computer Applications in Chemistry;Mathematical Methods in Physics;Biochemical Engineering;Simulation and Modeling

Front Matter....Pages i-xix
Front Matter....Pages 1-1
Biosensor Action....Pages 3-8
Modeling Biosensors at Steady State and Internal Diffusion Limitations....Pages 9-20
Modeling Biosensors at Steady State and External Diffusion Limitations....Pages 21-26
Modeling Biosensors Utilizing Microbial Cells....Pages 27-31
Modeling Nonstationary State of Biosensors....Pages 33-39
Front Matter....Pages 42-42
Mono-Layer Mono-Enzyme Models of Biosensors....Pages 43-111
One-Layer Multi-Enzyme Models of Biosensors....Pages 113-137
Multi-Layer Models of Biosensors....Pages 139-202
Modeling Biosensors of Complex Geometry....Pages 203-246
Front Matter....Pages 248-248
The Difference Schemes for the Diffusion Equation....Pages 249-291
The Difference Schemes for the Reaction–Diffusion Equations....Pages 293-315
Back Matter....Pages 317-334