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Mathematical Modeling of Plate−gap Biosensors with an Outer Porous Membrane
Faculty of Mathematics and Informatics, Vilnius University, Naugarduko 24, LT−03225 Vilnius, Lithuania
Institute of Mathematics and Informatics, Akademijos 4, LT−08663 Vilnius, Lithuania
Institute of Biochemistry, Mokslininku 12, LT−08662 Vilnius, Lithuania
* Author to whom correspondence should be addressed.
Received: 26 April 2006; Accepted: 11 July 2006 / Published: 24 July 2006
Abstract: A plate−gap model of a porous enzyme doped electrode covered by a porousinert membrane has been proposed and analyzed. The two−dimensional−in−spacemathematical model of the plate−gap biosensors is based on the reaction−diffusionequations containing a nonlinear term related to the Michaelis−Menten kinetics. Usingnumerical simulation of the biosensor action, the influence of the geometry of the outermembrane on the biosensor response was investigated at wide range of analyteconcentrations as well as of the reaction rates. The numerical simulation was carried outusing finite−difference technique. The behavior of the plate−gap biosensors was comparedwith that of a flat electrode deposited with a layer of enzyme and covered with the sameouter membrane.
Keywords: modeling; reaction−diffusion; simulation; biosensor.
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MDPI and ACS Style
Baronas, R.; Ivanauskas, F.; Kaunietis, I.; Laurinavicius, V. Mathematical Modeling of Plate−gap Biosensors with an Outer Porous Membrane. Sensors 2006, 6, 727-745.
Baronas R, Ivanauskas F, Kaunietis I, Laurinavicius V. Mathematical Modeling of Plate−gap Biosensors with an Outer Porous Membrane. Sensors. 2006; 6(7):727-745.
Baronas, Romas; Ivanauskas, Feliksas; Kaunietis, Irmantas; Laurinavicius, Valdas. 2006. "Mathematical Modeling of Plate−gap Biosensors with an Outer Porous Membrane." Sensors 6, no. 7: 727-745.