Effective rate models for the analysis of transport-dependent biosensor data

Mathematical Biosciences

Volumn 159, Issue 2, 1999, Pages 123-144

  Mason, Tamra ^a   Pineda, Angel R ^b   Wofsy, Carla ^a   Goldstein, Byron ^c  

^a UNIVERSITY OF NEW MEXICO   (United States)

^b UNIVERSITY OF ARIZONA   (United States)

^c LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

BIACORE; Binding kinetics; Biosensors; Diffusion reaction; Mass transport

Indexed keywords

ARTICLE; BINDING KINETICS; BIOSENSOR; COMPARTMENT MODEL; MOLECULAR INTERACTION; REACTION ANALYSIS; TRANSPORT AND BINDING PHENOMENA;

EID: 0033029626     PISSN: 00255564     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0025-5564(99)00023-1     Document Type: Article

References (23)

1. H.C. Berg, E.M. Purcell, Physics of chemoreception, Biophys. J. 20 (1977) 193.
2. O.G. Berg, On diffusion-controlled dissociation, Chem. Phys. 20 (1978) 47.
3. C. DeLisi, F.W. Wiegel, Effect of nonspecific forces and finite receptor number on rate constants of ligand-cell bound-receptor interactions, Proc. Nat. Acad. Sci. USA 78 (1981) 5569.
4. J. Erickson, B. Goldstein, D. Holowka, B. Baird, The effect of receptor density on the forward rate constant for binding of ligands to cell surface receptors, Biophys. J. 52 (1987) 657.
5. B. Goldstein, M. Dembo, Approximating the effects of diffusion on reversible reactions at the cell surface: ligand-receptor kinetics, Biophys. J. 68 (1995) 1222.
6. M. Schwartz, The adsorption of coliphage to its host: effect of variations in the surface density of receptor and in phage-receptor affinity, J. Molec. Biol. 103 (1976) 521.
7. D. Shoup, A. Szabo, Role of diffusion in ligand binding to macromolecules and cell-bound receptors, Biophys. J. 40 (1987) 33.
8. L.L.H. Christensen, Theoretical analysis of protein concentration determination using biosensor technology under conditions of partial mass transport limitation, Anal. Biochem. 249 (1997) 153.
9. R.W. Glaser, Antigen-antibody binding and mass transport by convection and diffusion to a surface: a two-dimensional computer model of binding and dissociation kinetics, Anal. Biochem. 213 (1993) 152.
10. R. Karlsson, H. Roos, L. Fägerstam, B. Persson, Kinetic and concentration analysis using BIA technology, Methods: A Companion to Methods Enzymol. 6 (1994) 99.
11. B.K. Lok, Y.-L. Cheng, C.R. Robertson, Protein adsorption on crosslinked polydimethylsiloxane using total internal reflection fluorescence, J. Colloid Interface Sci. 91 (1983) 104.
12. D.G. Myszka, X. He, M. Dembo, T.A. Morton, B. Goldstein, Extending the range of rate constants available from BIACORE: interpreting mass transport influenced binding data, Biophys. J. 75 (1998) 583.
13. P. Schuck, Use of surface plasmon resonance to probe the equilibrium and dynamic aspects of interactions between biological macromolecules, Ann. Rev. Biophys. Biomol. Struct. 26 (1997) 541.
14. M.L. Yarmush, D.B. Patankar, D.M. Yarmush, An analysis of transport resistances in the operation of BIACORE; Implications for kinetic studies of biospecific interactions, Molec. Immunol. 33 (1996) 1203.
15. M.V. Smoluchowski, Versuch einer mathematischen theorie der kiagulationskinetik kolloider lösugen, Z. Phys. Chem. 92 (1917) 129.
16. L.A. Segel, M. Slemrod, The quasi-steady-state assumption: a case study in perturbation, SIAM Rev. 31 (1989) 446.
17. J.P. Brody, P. Yager, R.E. Goldstein, R.H. Austin, Biotechnology at low Reynolds numbers, Biophys J. 71 (1996) 3430.
18. D.A. Edwards. Estimating rate constants in a convection- diffusion equation with a boundary reaction, IMA J. Appl. Math. (in press).
19. D.A. Edwards, B. Goldstein, D.S. Cohen, Transport effects on surface-volume biological reactions, J. Math. Biol. (in press).
20. K.W. Morton, Numerical Solution of Convection-Diffusion Problems, Chapman and Hall, London, 1996.
21. M. Abramowitz, I.A. Stegun, (Eds.), Handbook of Mathematical Functions, National Bureau of Standards, Washington DC, 1964, p. 446.
22. D.G. Myszka, P.R. Arulanantham, Z. Wu, T. Sana, T.L. Ciardelli, Kinetic analysis of ligand binding to interleukin-2 receptor complexes created on an optical biosensor surface, Protein Sci. 5 (1996) 2468.
23. D.G. Myszka, TA. Morton, M.L. Doyle, I.M. Chaiken, Kinetic analysis of a protein antigen-antibody interaction limited by mass transport on an optical biosensor, Biophys. Chem. 64 (1997) 127.