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Engineering - Biomedical Engineering | Mathematical Modeling of Biosensors - An Introduction for Chemists and Mathematicians

Mathematical Modeling of Biosensors

An Introduction for Chemists and Mathematicians

Baronas, Romas, Ivanauskas, Feliksas, Kulys, Juozas

2010, XIX, 334p.

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  • First monograph to cover the mathematical aspects of biosensors
  • Only monograph to describe digital modeling of biosensors
  • Unique modeling methods for a wide range of biosensors
  • Great compendium of biosensor development and their mathematical modeling for graduate students and researchers in both chemistry and mathematics

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.

Content Level » Research

Keywords » Biochemical A - Biosensor - Biosensors - Catalytical Biosensors - Diffusion Equation - Digital Modeling - Enzymatic Kinetic Equation - Enzyme - Fractal Kinetics - Mathematical Model - Modeling - Numerical Method - cells - enzymes - mathematical modeling

Related subjects » Biomedical Engineering - Chemistry - Computational Science & Engineering - Theoretical, Mathematical & Computational Physics

Table of contents 

Analytical Modeling of Biosensors.- Biosensor Action.- Modeling Biosensors at Steady State and Internal Diffusion Limitations.- Modeling Biosensors at Steady State and External Diffusion Limitations.- Modeling Biosensors Utilizing Microbial Cells.- Modeling Nonstationary State of Biosensors.- Numerical Modeling of Biosensors.- Mono-Layer Mono-Enzyme Models of Biosensors.- One-Layer Multi-Enzyme Models of Biosensors.- Multi-Layer Models of Biosensors.- Modeling Biosensors of Complex Geometry.- Numerical Methods for Reaction-Diffusion Equations.- The Difference Schemes for the Diffusion Equation.- The Difference Schemes for the Reaction–Diffusion Equations.

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