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Biosensors Response Amplification with Cyclic Substrates Conversion

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Mathematical Modeling of Biosensors

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

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Abstract

The sensitivity of biosensors can be notably increased by a cyclic conversion of substrates or reaction products. In this chapter, mathematical models of different types of amperometric biosensors utilizing the cyclic conversion are modeled and analysed at transient conditions assuming an absence of outer diffusion limitations. A specific type of highly sensitive biosensors utilizing the substrate cyclic conversion in single enzyme membrane has been analytically modeled assuming the first-order reaction kinetics. The amplification of biosensor response by conjugated electrochemical and enzymatic substrate conversions is modeled by reaction–diffusion equations containing a nonlinear term related to Michaelis–Menten kinetic of the enzymatic reaction. The trigger of the response of biosensors utilizing substrate (analyte) conversion following the cyclic product conversion has been modeled and analysed computationally, too. The simulated response of the biosensors acting in two trigger schemes is compared with the response of a single enzyme biosensor utilizing Michaelis–Menten kinetics. The numerical experiments demonstrated significant gain in the biosensor sensitivity when the biosensor response was under diffusion control.

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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 Response Amplification with Cyclic Substrates Conversion. 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_4

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