| Title |
Computational modelling of biosensors with an outer perforated membrane / |
| Authors |
Petrauskas, Karolis ; Baronas, Romas |
| DOI |
10.15388/NA.2009.14.1.14532 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilniaus universiteto leidykla. 2009, vol. 14, no. 1, p. 85-102.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
biosensor ; perforated membrane ; modelling ; numerical simulation |
| Abstract [eng] |
This paper presents one-dimensional (1-D) and two-dimensional (2-D) in-space mathematical models for amperometric biosensors with an outer perforated membrane. The biosensor action was modelled by reaction-diffusion equations with a nonlinear term representing the Michaelis-Menten kinetics of an enzymatic reaction. The conditions at which the 1-D model can be applied to simulate the biosensor response accurately were investigated numerically. The accuracy of the biosensor response simulated by using 1-D model was evaluated by the response simulated with the corresponding 2-D model. A procedure for a numerical evaluation of the effective diffusion coefficient to be used in 1-D model was proposed. The numerically calculated effective diffusion coefficient was compared with the corresponding coefficients derived analytically. The numerical simulation was carried out using the finite difference technique. |
| Published |
Vilnius : Vilniaus universiteto leidykla |
| Type |
Journal article |
| Language |
English |
| Publication date |
2009 |
| CC license |
|
