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Refining the measurement of rate constants in the BIAcore

Journal of Mathematical Biology volume 49, pages 272–292 (2004)Cite this article

Abstract.

When estimating rate constants using the BIAcore surface plasmon resonance (SPR) biosensor, one must have an accurate mathematical model to interpret sensogram data. Several models of differing complexity are discussed, including the effective rate constant (ERC) approach. This model can be shown formally to be good within O(Da) in the limit of small Damköhler number Da, which is the ratio of the reaction rate to the rate of transport to the surface. Numerical results are presented that show that except for very slow reactions, parameter estimates from the ERC model are very close to those estimated using a more complicated model. The BIAcore measures the behavior of an evanescent wave whose signal strength decays as it penetrates into the device. It is shown that this decay does not appreciably affect the sensogram readout at low Da, but at moderate Da can lead to situations where two vastly different rate constants can produce the same short-time sensogram data.

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Authors and Affiliations

  1. Department of Mathematical Sciences, University of Delaware, Newark, DE 19716-2553, USA

    David A. Edwards

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  1. David A. Edwards
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Correspondence to David A. Edwards.

Additional information

Mathematics Subject Classification (2000): 35B20, 35C15, 35K60, 45J05, 92C45

This work was supported in part by NIGMS Grant 1R01GM067244-01.

Revised version: 1 August 2003

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Edwards, D. Refining the measurement of rate constants in the BIAcore. J. Math. Biol. 49, 272–292 (2004). https://doi.org/10.1007/s00285-004-0270-x

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  • DOI: https://doi.org/10.1007/s00285-004-0270-x

Key words or phrases:

  • Biomolecular reactions
  • Rate constants
  • Asymptotics
  • Integro-differential equations
  • Dextran layer
  • Evanescent wave
  • BIAcore