Modelling of amperometric biosensors with rough surface of the enzyme membrane

被引:34
作者
Baronas, R
Ivanauskas, F
Kulys, J
Sapagovas, M
机构
[1] Vilnius State Univ, Fac Math & Informat, LT-2600 Vilnius, Lithuania
[2] Inst Biochem, LT-2600 Vilnius, Lithuania
[3] Inst Math & Informat, LT-2600 Vilnius, Lithuania
关键词
reaction-diffusion; modelling; biosensor; rough surface;
D O I
10.1023/B:JOMC.0000004072.97338.12
中图分类号
O6 [化学];
学科分类号
0703 ;
摘要
A two-dimensional-in-space mathematical model of amperometric biosensors has been developed. The model is based on the diffusion equations containing a nonlinear term related to the Michaelis-Menten kinetic of the enzymatic reaction. The model takes into consideration two types of roughness of the upper surface (bulk solution/membrane interface) of the enzyme membrane, immobilised onto an electrode. Using digital simulation, the influence of the geometry of the roughness on the biosensor response was investigated. Digital simulation was carried out using the finite-difference technique.
引用
收藏
页码:227 / 242
页数:16
相关论文
共 25 条
[1]  
Ames W., 1977, NUMERICAL METHODS PA
[2]  
[Anonymous], 1987, Biosensors Fundamentals and Applications
[3]  
Baronas R., 2003, Nonlinear Analysis Modelling and Control, V8, P3
[4]   Modelling dynamics of amperometric biosensors in batch and flow injection analysis [J].
Baronas, R ;
Ivanauskas, F ;
Kulys, J .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2002, 32 (02) :225-237
[5]   Simulation of electrochemical behavior of partially blocked electrodes under linear potential sweep conditions [J].
Baronas, R ;
Ivanauskas, F ;
Survila, A .
JOURNAL OF MATHEMATICAL CHEMISTRY, 2000, 27 (04) :267-278
[6]   MODELING OF PROCESSES IN ENZYME ELECTRODES [J].
BARTLETT, PN ;
PRATT, KFE .
BIOSENSORS & BIOELECTRONICS, 1993, 8 (9-10) :451-462
[7]  
Britz D., 1988, DIGITAL SIMULATION E
[8]   Mediated biosensors [J].
Chaubey, A ;
Malhotra, BD .
BIOSENSORS & BIOELECTRONICS, 2002, 17 (6-7) :441-456
[9]   ELECTRODE SYSTEMS FOR CONTINUOUS MONITORING IN CARDIOVASCULAR SURGERY [J].
CLARK, LC ;
LYONS, C .
ANNALS OF THE NEW YORK ACADEMY OF SCIENCES, 1962, 102 (01) :29-&
[10]  
Crank J, 1979, MATH DIFFUSION