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Convection effects in the BIAcore dextran layer: surface reaction model
1Department of Mathematical Sciences, University of Delaware, Newark, DE 19716-2553, USA. edwards@math.udel.edu
Bulletin of Mathematical Biology
|June 24, 2006
Summary
This study models flow penetration in BIAcore surface plasmon resonance (SPR) devices. Results show that flow penetration into the dextran layer has minimal impact on biochemical reaction measurements.
Area of Science:
- Biochemistry
- Chemical Engineering
- Physical Chemistry
Background:
- BIAcore devices utilize surface plasmon resonance (SPR) for measuring biochemical reaction kinetics.
- Anomalous measurements in BIAcore devices have led to hypotheses about flow penetration into the dextran layer.
- Enhanced transport due to flow penetration is proposed as an explanation for observed anomalies.
Purpose of the Study:
- To develop and analyze a mathematical model for flow penetration in BIAcore SPR devices.
- To investigate the impact of flow penetration on transport and kinetics within the dextran layer.
- To determine the significance of flow penetration effects on SPR measurements.
Main Methods:
- Development of a mathematical model incorporating flow penetration into the dextran layer.
- Construction of velocity fields within the dextran layer.
- Analysis using asymptotic and singular perturbation techniques for association and dissociation kinetics.
- Derivation and solution of linear and nonlinear integral equations.
Main Results:
- The model accounts for flow penetration and constructs typical velocity fields.
- Analysis in the limit of the surface reaction model (thin dextran layers) was performed.
- Explicit and asymptotic solutions were constructed for physically realizable scenarios.
- The study found that the effects of flow penetration are inherently small.
Conclusions:
- Flow penetration into the dextran layer in BIAcore SPR devices has a negligible effect on measurements.
- The developed model and analysis confirm that transport enhancement is minimal.
- The findings suggest that anomalous SPR measurements are unlikely to be explained by flow penetration alone.