Mathematical modeling of biosensors : an introduction for chemists and mathematicians
著者
書誌事項
Mathematical modeling of biosensors : an introduction for chemists and mathematicians
（Springer series on chemical sensors and biosensors : methods and applications / Otto S. Wolfbeis series editor, 9）
Springer, c2010
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
Biosensors are analytical devices in which speci?c recognition of the chemical substances is performed by biological material. The biological material that serves as recognition element is used in combination with a transducer. The transducer transforms concentration of substrate or product to electrical signal that is amp- ?ed and further processed. The biosensors may utilize enzymes, antibodies, nucleic acids, organelles, plant and animal tissue, whole organism or organs. Biosensors containing biological catalysts (enzymes) are called catalytical biosensors. These type of biosensors are the most abundant, and they found the largest application in medicine, ecology, and environmental monitoring. The action of catalytical biosensors is associated with substrate diffusion into biocatalytical membrane and it conversion to a product. The modeling of bios- sors involves solving the diffusion equations for substrate and product with a term containing a rate of biocatalytical transformation of substrate. The complications of modeling arise due to solving of partially differential equations with non-linear biocatalytical term and with complex boundary and initial conditions. The book starts with the modeling biosensors by analytical solution of partial differential equations. Historically this method was used to describe fundamental features of biosensors action though it is limited by substrate concentration, and is applicable for simple biocatalytical processes. Using this method the action of biosensors was analyzed at critical concentrations of substrate and enzyme activity.
目次
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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