Volume 2, 2019
Difference & Differential Equations and Applications
|Number of page(s)||12|
|Section||Mathematics - Applied Mathematics|
|Published online||11 July 2019|
Mathematical models for optimising bi-enzyme biosensors
School of Hospitality Management and Tourism, Technological University Dublin, 40–45 Mountjoy Square, Dublin 1, Ireland
2 School of Computer Science, Technological University Dublin, Kevin Street, Dublin 8, Ireland
* Corresponding author: firstname.lastname@example.org
Accepted: 4 May 2019
From our previous work we have seen examples of problems where including diffusion of a reactant into the model only affects the transient behaviour of the system but has no effect on the final steady states of its concentration. The equilibrium values are the only piece of information required for the solution of our experimental problem and in such situations it is important to identify the conditions under which a complex partial differential equations model can be replaced with a simpler one. The aim of this study is to find the optimal ratio of the two enzymes involved with a bi-enzyme electrode based on a flow injection analysis. Three mathematical models was constructed each neglect different aspects of the biosensor functionality. A detailed comparison of the models was carried out, base on various physical conditions recommendations of the best modelling strategy were given.
Key words: Biosensors / Cascade reactions / Equilibrium / Steady-state
© Q. Wang & Y. Liu, Published by EDP Sciences, 2019
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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