Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors
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 diffu...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2006-04-01
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| Series: | Sensors |
| Subjects: | |
| Online Access: | http://www.mdpi.com/1424-8220/6/4/453/ |
| _version_ | 1798006224956948480 |
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| author | Juozas Kulys Feliksas Ivanauskas Romas Baronas |
| author_facet | Juozas Kulys Feliksas Ivanauskas Romas Baronas |
| author_sort | Juozas Kulys |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T12:52:37Z |
| format | Article |
| id | doaj.art-3089d83567e0414693f49e48f1507752 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-04-11T12:52:37Z |
| publishDate | 2006-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-3089d83567e0414693f49e48f15077522022-12-22T04:23:10ZengMDPI AGSensors1424-82202006-04-016445346510.3390/s6040453Mathematical Modeling of Biosensors Based on an Array of Enzyme MicroreactorsJuozas KulysFeliksas IvanauskasRomas BaronasThis 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.http://www.mdpi.com/1424-8220/6/4/453/Reaction-diffusionmodelingbiosensormicroreactor. |
| spellingShingle | Juozas Kulys Feliksas Ivanauskas Romas Baronas Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors Sensors Reaction-diffusion modeling biosensor microreactor. |
| title | Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors |
| title_full | Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors |
| title_fullStr | Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors |
| title_full_unstemmed | Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors |
| title_short | Mathematical Modeling of Biosensors Based on an Array of Enzyme Microreactors |
| title_sort | mathematical modeling of biosensors based on an array of enzyme microreactors |
| topic | Reaction-diffusion modeling biosensor microreactor. |
| url | http://www.mdpi.com/1424-8220/6/4/453/ |
| work_keys_str_mv | AT juozaskulys mathematicalmodelingofbiosensorsbasedonanarrayofenzymemicroreactors AT feliksasivanauskas mathematicalmodelingofbiosensorsbasedonanarrayofenzymemicroreactors AT romasbaronas mathematicalmodelingofbiosensorsbasedonanarrayofenzymemicroreactors |