Analysis of Stability in Enzyme Biosensor Based on Michaelis-Menten Model with Time Delays
A. Klos-Witkowskaa, V. Martsenyuka, V. Karpinskyib
aFaculty of Mechanical Engineering and Computer Science, Department of Computer Science and Automatics, University of Bielsko-Biała, Willowa 2, 43-309 Bielsko-Biała, Poland
b3D Scanners UK Ltd, the Techno Centre, Coventry, United Kingdom
Received: February 5, 2018
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This work offers modelling of enzyme biosensors based on systems of partial differential equations with time delays, including the Michaelis-Menten dynamics for chemical reactions. We offer the numerical approach for stability investigation of steady states of such a model by solving corresponding boundary value problems. The corresponding software is developed using R package.

DOI:10.12693/APhysPolA.135.375
topics: enzyme biosensor, partial differential equations, Michaelis-Menten dynamics, time delays, stability