Structural identifiability of surface binding reactions involving heterogeneous analyte: Application to surface plasmon resonance experiments

Automatica

Volumn 49, Issue 1, 2013, Pages 48-57

  Evans, N D ^a   Moyse, H A J ^a   Lowe, D ^a,b   Briggs, D ^b   Higgins, R ^c   Mitchell, D ^a   Zehnder, D ^a,c   Chappell, M J ^a  

^a UNIVERSITY OF WARWICK   (United Kingdom)

^b NHS BLOOD AND TRANSPLANT   (United Kingdom)

^c UNIVERSITY HOSPITALS COVENTRY AND WARWICKSHIRE NHS TRUST   (United Kingdom)

Author keywords

Binding affinity; Biomedical systems; Structural identifiability; Surface plasmon resonance; Surface volume reactions; System identification

Indexed keywords

ANALYTES; BINDING AFFINITIES; BINDING KINETICS; BINDING MECHANISMS; BINDING REACTIONS; BIOCHEMICAL REACTIONS; BIOMEDICAL SYSTEMS; IDENTIFIABILITY; KEY PARAMETERS; LANGMUIR MODELS; QUASI-STEADY STATE; REAL TIME MEASUREMENTS; SAMPLE CONCENTRATION; STRUCTURAL IDENTIFIABILITY; SURFACE BINDING; SURFACE-VOLUME REACTIONS; THREE MODELS;

BINDING ENERGY; BINDING SITES; EXPERIMENTS; IDENTIFICATION (CONTROL SYSTEMS); PLASMONS; RATE CONSTANTS; SURFACE REACTIONS;

SURFACE PLASMON RESONANCE;

EID: 84871308152     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2012.09.015     Document Type: Article

References (27)

1. Andersson, T. (1994). Concepts and algorithms for non-linear system identifiability. Ph.D. Thesis. Linköping University. Number 448.
2. S. Audoly, G. Bellu, L. D'Angiò, M.P. Saccomani, and C. Cobelli Global identifiability of nonlinear models of biological systems IEEE Transactions on Biomedical Engineering 48 2001 55 65
3. Bearup, D.; Evans, N.D.; Chappell, M.J. (2011). The input-output relationship approach to structural identifiability analysis. Computer Methods and Programs in Biomedicine (submitted for publication).
4. R. Bellman, and K.J. Åström On structural identifiability Mathematical Biosciences 7 1970 329 339
5. I. Chaiken, S. Roseé, and R. Karlsson Analysis of macromolecularinteractions using immobilzed ligands Analytical Biochemistry 201 1992 197 210
6. L. Denis-Vidal, G. Joly-Blanchard, and C. Noiret Some effective approaches to check identifiability of uncontrolled nonlinear rational systems Mathematics and Computers in Simulation 57 2001 35 44
7. D.A. Edwards The effect of a receptor layer on the measurement of rate constants Bulletin of Mathematical Biology 63 2001 301 327
8. D.A. Edwards, B. Goldstein, and D.S. Cohen Transport effects on surface-volume biological reactions Journal of Mathematical Biology 39 1999 533 561
9. N.D. Evans, M.J. Chapman, M.J. Chappell, and K.R. Godfrey Identifiability of uncontrolled nonlinear rational systems Automatica 38 2002 1799 1805
10. Forsman, K. (1991). Constructive commutative algebra in nonlinear control theory. Ph.D. Thesis. Linköping Institute of Technology. Number 261.
11. Glad, S.T. (1992). Nonlinear input output relations and identifiability. In Proceedings of the 31st conference on decision and control.
12. Glad, S.T. (1991). Input output representations from characteristic sets. In Proceedings of the 30th conference on decision and control (pp. 726-730). Brighton, England. December.
13. S.T. Glad Differential algebraic modelling of nonlinear systems M.A. Kaashoek, J.H. van Schuppen, A.C.M. Ran, Realization and modelling in system theory, proceedings of the international symposium MTNS-89, vol. I 1990 Birkhäuser 97 105
14. Glad, S.T.; Ljung, L. (1990). Model structure identifiability and persistence of excitation. In Proceedings of the 29th IEEE conference on decision and control (pp. 3236-3240).
15. K.R. Godfrey, and J.J. DiStefano III Identifiability of model parameters E. Walter, Identifiability of parametric models 1987 Pergamon Press 1 20 (chapter 1)
16. R. Hermann, and A.J. Krener Nonlinear controllability and observability IEEE Transactions on Automatic Control AC-22 1977 728 740
17. A. Isidori Nonlinear control systems 1995 Springer
18. J.A. Jacquez Compartmental analysis in biology and medicine 1996 BioMedware Ann Arbor, MI
19. L. Ljung, and T. Glad On global identifiability for arbitrary model parametrizations Automatica 30 1994 265 276
20. G. Margaria, E. Riccomagno, M.J. Chappell, and H.P. Wynn Differential algebra methods for the study of the structural identifiability of rational polynomial state-space models in the biosciences Mathematical Biosciences 174 2001 1 26
21. D.G. Myszka, X. He, M. Dembo, T.A. Morton, and B. Goldstein Extending the range of rate constants available from BIACORE: interpreting mass transport-influenced binding data Biophysical Journal 75 1998 583 594
22. J. Němcová Structural identifiability of polynomial and rational systems Mathematical Biosciences 223 2010 83 96
23. Ollivier, F. (1990). Le probléme de lidentifiabilité structurelle globale: étude théorique, méthodes effectives et bornes de complexité. Thèse de doctorat en science. Ecole polytechnique. Paris, France.
24. H. Pohjanpalo System identifiability based on the power series expansion of the solution Mathematical Biosciences 41 1978 21 33
25. Saccomani, M.P.; Audoly, S.; Bellu, G.; D'Angiò, L. (2001). A new differential algebra algorithm to test identifiability of nonlinear systems with given initial conditions. In Proceedings of the 40th IEEE conference on decision and control.
26. M.P. Saccomani, S. Audoly, and L. D'Angiò Parameter identifiability of nonlinear systems: the role of initial conditions Automatica 39 2003 619 632
27. E. Walter Identifiability of state space models 1982 Springer-Verlag