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Biosensors with Porous and Perforated Membranes

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Mathematical Modeling of Biosensors

Part of the book series: Springer Series on Chemical Sensors and Biosensors ((SSSENSORS,volume 9))

Abstract

The additional application of catalytically inactive membranes can solve some drawbacks of biosensors, such as a relatively short linear range of the calibration graph, an instability and a low specificity. The selective membranes are usually used to increase the biosensors specificity. In this chapter, amperometric biosensors with inert and selective membranes are mathematically modeled by nonlinear reaction–diffusion equations containing a nonlinear term related to the Michaelis–Menten kinetics of an enzymatic reaction. At first, a biosensor, containing enzymatic and outer inert membranes , is mathematically and numerically modeled by a three-compartment model in one-dimensional space at transient conditions. Then, the model is extended to cover a transducer with an additional selective membrane permeable for the product of the enzymatic reaction, and the output results are numerically analysed with a special emphasis on the influence of the selective membrane to the biosensor response . And finally, the biosensor with selective and outer perforated membranes is modeled in two-dimensions. The biosensor response is analysed with a special focus on the geometry of the membrane perforation

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Authors and Affiliations

  1. Faculty of Mathematics & Informatics, Institute of Computer Science, Vilnius University, Vilnius, Lithuania

    Romas Baronas & Feliksas Ivanauskas

  2. Life Sciences Center, Vilnius University, Vilnius, Lithuania

    Juozas Kulys

Authors
  1. Romas Baronas
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  2. Feliksas Ivanauskas
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  3. Juozas Kulys
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Baronas, R., Ivanauskas, F., Kulys, J. (2021). Biosensors with Porous and Perforated Membranes. In: Mathematical Modeling of Biosensors. Springer Series on Chemical Sensors and Biosensors, vol 9. Springer, Cham. https://doi.org/10.1007/978-3-030-65505-1_8

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