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Authors = Feliksas Ivanauskas

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7 pages, 188 KiB  
Article
Computational Modeling of the Electrochemical System of Lipase Activity Detection
by Mantas Puida, Feliksas Ivanauskas, Ilja Ignatjev, Gintaras Valinčius and Valdemaras Razumas
Sensors 2008, 8(6), 3873-3879; https://doi.org/10.3390/s8063873 - 9 Jun 2008
Cited by 8 | Viewed by 7897
Abstract
This paper presents computational modeling of response kinetics of bioelectroanalytical system based on solid supported lipase substrate and lipase interaction. The model assumes that lipase substrate is formed by dripping and drying a small amount of the ethanol solution of 9-(5’-ferrocenylpentanoyloxy)nonyl disulfide (FPONDS) [...] Read more.
This paper presents computational modeling of response kinetics of bioelectroanalytical system based on solid supported lipase substrate and lipase interaction. The model assumes that lipase substrate is formed by dripping and drying a small amount of the ethanol solution of 9-(5’-ferrocenylpentanoyloxy)nonyl disulfide (FPONDS) and that lipase is capable of cleaving FPONDS ester bonds via hydrolysis mechanism. Two mathematical models have been developed and evaluated trough computational simulation series by comparing them to experimental data. The results of simulation demonstrate that a good fitting might be obtained only taking into account non-linear substrate wash off process. Full article
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19 pages, 266 KiB  
Article
Mathematical Modeling of Plate−gap Biosensors with an Outer Porous Membrane
by Romas Baronas, Feliksas Ivanauskas, Irmantas Kaunietis and Valdas Laurinavicius
Sensors 2006, 6(7), 727-745; https://doi.org/10.3390/s6070727 - 24 Jul 2006
Cited by 17 | Viewed by 7771
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 [...] Read more.
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. Full article
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13 pages, 187 KiB  
Article
Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors
by Romas Baronas, Feliksas Ivanauskas and Juozas Kulys
Sensors 2006, 6(4), 453-465; https://doi.org/10.3390/s6040453 - 7 Apr 2006
Cited by 13 | Viewed by 10235
Abstract
This paper presents a two-dimensional-in-space mathematical model ofbiosensors based on an array of enzyme microreactors immobilised on a single electrode.The modeling system acts under amperometric conditions. The microreactors were modeledby particles and by strips. The model is based on the diffusion equations containing [...] Read more.
This paper presents a two-dimensional-in-space mathematical model ofbiosensors based on an array of enzyme microreactors immobilised on a single electrode.The modeling system acts under amperometric conditions. The microreactors were modeledby particles and by strips. The model is based on the diffusion equations containing a non-linear term related to the Michaelis-Menten kinetics of the enzymatic reaction. The modelinvolves three regions: an array of enzyme microreactors where enzyme reaction as well asmass transport by diffusion takes place, a diffusion limiting region where only the diffusiontakes place, and a convective region, where the analyte concentration is maintained constant.Using computer simulation, the influence of the geometry of the microreactors and of thediffusion region on the biosensor response was investigated. The digital simulation wascarried out using the finite difference technique. Full article
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17 pages, 1065 KiB  
Article
Mathematical Model of the Biosensors Acting in a Trigger Mode
by Romas Baronas, Juozas Kulys and Feliksas Ivanauskas
Sensors 2004, 4(4), 20-36; https://doi.org/10.3390/s40400020 - 26 May 2004
Cited by 15 | Viewed by 8125
Abstract
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 [...] Read more.
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. Full article
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15 pages, 344 KiB  
Article
The Influence of the Enzyme Membrane Thickness on the Response of Amperometric Biosensors
by Romas Baronas, Feliksas Ivanauskas and Juozas Kulys
Sensors 2003, 3(7), 248-262; https://doi.org/10.3390/s30700248 - 27 Jul 2003
Cited by 68 | Viewed by 9208
Abstract
A mathematical model of amperometric biosensors has been developed. The model is based on non-stationary diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Using digital simulation, the influence of the thickness of enzyme membrane on the biosensor [...] Read more.
A mathematical model of amperometric biosensors has been developed. The model is based on non-stationary diffusion equations containing a non-linear term related to Michaelis-Menten kinetics of the enzymatic reaction. Using digital simulation, the influence of the thickness of enzyme membrane on the biosensor response was investigated. The digital simulation of the biosensor operation showed the non-monotonous change of the maximal biosensor current versus the membrane thickness at the various maximal enzymatic rates. Digital simulation was carried out using the finite difference technique. Results of the numerical simulation was compared with known analytical solutions. This paper presents a framework for selection of the membrane thickness, ensuring the sufficiently stable sensitivity of a biosensor in a required range of the maximal enzymatic rate. Full article
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