Mathematical modelling of exponential amplification in membrane-based enzyme sensors

Biosensors and Bioelectronics

Volumn 12, Issue 9-10, 1997, Pages 1021-1030

  Schulmeister, Thomas ^a   Rose, Jürgen ^a   Scheller, Frieder ^a  

^a UNIVERSITY OF POTSDAM   (Germany)

Author keywords

Exponential amplification; Mathematical modelling; Multi enzyme electrode

Indexed keywords

BIOLOGICAL MEMBRANES; ELECTROCHEMICAL ELECTRODES; ENZYME SENSORS; ENZYMES; GAIN MEASUREMENT; MATHEMATICAL MODELS;

EXPONENTIAL AMPLIFICATION; MULTI ENZYME ELECTRODES;

AMPEROMETRIC SENSORS;

AMPEROMETRY; ARTICLE; BIOSENSOR; ELECTROCHEMICAL DETECTION; ENZYME ANALYSIS; ENZYME SUBSTRATE; GENE AMPLIFICATION; MATHEMATICAL MODEL; MEMBRANE FLUIDITY; NONHUMAN; SIGNAL DETECTION; STOICHIOMETRY;

EID: 0031278047     PISSN: 09565663     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0956-5663(97)00058-4     Document Type: Article

References (10)

1. Kopp L. E., Miech R. P. Nonlinear enzymatic cycling systems: the exponential system. J. Biol. Chem. 247:1972;3558-3563.
2. Kulys J. J., Sorochinskii V. V., Vidziunaite R. A. Transient response of bienzyme electrodes. Biosensors. 2:1986;135-146.
3. Lowry, O. H. & Passoneau, J. V. (1972). A Flexible System of Enzymatic Analysis. Academic Press, New York.
4. Petrowski, I. G. (1955). Vorlesungen über partielle Differentialgleichungen. Teubner Verlagsgessellschaft, Leipzig.
5. Pfeiffer D., Scheller F., McNeil C. J., Schulmeister T. Cascade-like exponential substrate amplification in enzyme sensors. Biosensors & Bioelectronics. 10:1995;169-180.
6. Scheller, F., Renneberg, R. & Schubert, F. (1988). Coupled enzyme reactions in enzyme electrodes using sequence, amplification, competition and anti-interference principles, In Methods in Enzymology. Academic Press, New York, Vol. 137, pp. 29-43.
7. Schubert F., Kirstein D., Schröder K. L., Scheller F. Enzyme electrodes with substrate and co-enzyme amplification. Anal. Chim. Acta. 169:1985;391-396.
8. Schulmeister T. Mathematical treatment of concentration profiles and anodic current of amperometric enzyme electrodes with chemically-amplified response. Anal. Chim. Acta. 201:1987;305-310.
9. Schulmeister T. Mathematical modelling of the dynamic of amperometric enzyme electrodes. Selective Electrode Rev. 12:1990;260-303.
10. Wollenberger U., Schubert F., Pfeiffer D., Scheller F. Enhancing biosensors performance using multienzyme systems. Trends Biotechnol. 11:1993;255-262.