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Sensors 2004, 4(4), 20-36; doi:10.3390/s40400020

Mathematical Model of the Biosensors Acting in a Trigger Mode

1,* , 2 and 1,3
1 Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, 2006 Vilnius, Lithuania 2 Vilnius Gediminas Technical University, Sauletekio Avenue 11, 2040 Vilnius, Lithuania 3 Institute of Mathematics and Informatics, Akademijos 4, 2600 Vilnius, Lithuania
* Author to whom correspondence should be addressed.
Received: 12 March 2004 / Accepted: 10 May 2004 / Published: 26 May 2004
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A mathematical model of biosensors acting in a trigger mode has been developed. One type of the biosensors utilized a trigger enzymatic reaction followed by the cyclic enzymatic and electrochemical conversion of the product (CCE scheme). Other biosensors used the enzymatic trigger reaction followed by the electrochemical and enzymatic product cyclic conversion (CEC scheme). The models were based on diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reactions. The digital simulation was carried out using the finite difference technique. The influence of the substrate concentration, the maximal enzymatic rate as well as the membrane thickness on the biosensor response was investigated. The numerical experiments demonstrated a significant gain (up to dozens of times) in biosensor sensitivity when the biosensor response was under diffusion control. In the case of significant signal amplification, the response time with triggering was up to several times longer than that of the biosensor without triggering.
Keywords: Biosensor; amperometry; modelling; simulation; amplification Biosensor; amperometry; modelling; simulation; amplification
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Baronas, R.; Kulys, J.; Ivanauskas, F. Mathematical Model of the Biosensors Acting in a Trigger Mode. Sensors 2004, 4, 20-36.

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