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Structural identifiability of surface binding reactions involving heterogeneous analyte : application to surface plasmon resonance experiments
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Evans, N. D., Moyse, H. A. J. , Lowe, David Philip, Briggs, D., Higgins, R., Mitchell, Daniel Anthony, Zehnder, Daniel and Chappell, M. J. (Michael J.). (2013) Structural identifiability of surface binding reactions involving heterogeneous analyte : application to surface plasmon resonance experiments. Automatica, Volume 49 (Number 1). pp. 4857. ISSN 00051098

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Abstract
Binding affinities are useful measures of target interaction and have an important role in understanding biochemical reactions that involve binding mechanisms. Surface plasmon resonance (SPR) provides convenient realtime measurement of the reaction that enables subsequent estimation of the reaction constants necessary to determine binding affinity. Three models are considered for application to SPR experiments—the well mixed Langmuir model and two models that represent the binding reaction in the presence of transport effects. One of these models, the effective rate constant approximation, can be derived from the other by applying a quasisteady state assumption. Uniqueness of the reaction constants with respect to SPR measurements is considered via a structural identiﬁability analysis. It is shown that the models are structurally unidentiﬁable unless the sample concentration is known. The models are also considered for analytes with heterogeneity in the binding kinetics. This heterogeneity further confounds the identiﬁability of key parameters necessary for reliable estimation of the binding affinity
Item Type:  Journal Article 

Subjects:  Q Science > QC Physics Q Science > QD Chemistry 
Divisions:  Faculty of Medicine > Warwick Medical School > Clinical Sciences Research Institute (CSRI) Faculty of Science > Engineering Faculty of Science > Molecular Organisation and Assembly in Cells (MOAC) 
Library of Congress Subject Headings (LCSH):  Surface plasmon resonance  Mathematical models, Binding sites (Biochemistry), Surface chemistry 
Journal or Publication Title:  Automatica 
Publisher:  Pergamon 
ISSN:  00051098 
Date:  January 2013 
Volume:  Volume 49 
Number:  Number 1 
Page Range:  pp. 4857 
Identification Number:  10.1016/j.automatica.2012.09.015 
Status:  Peer Reviewed 
Publication Status:  Published 
Access rights to Published version:  Restricted or Subscription Access 
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URI:  http://wrap.warwick.ac.uk/id/eprint/49183 
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