Convection Effects in the BIAcore Dextran Layer: Surface Reaction Model

Edwards, David A.

doi:10.1007/s11538-005-9023-2

Cited by 6 publications

(12 citation statements)

References 34 publications

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“…To understand the gel dynamics, we need the value ofĈ f only at the flow-gel interface y = 0. In particular, it can be shown [7] thatĈ f satisfieŝ 3.1. Transport.…”

Section: Transport In the Flowmentioning

confidence: 98%

“…The Reynolds number is small [7], so the flow in the channel is described by a simple one-dimensional laminar model. On the other hand, the dextran is a gel, and any true description of the flow therein would be quite complicated.…”

Section: Velocity Profilesmentioning

confidence: 99%

“…Using these scalings, it can be shown [7] that with suitable boundary and interface conditions, the velocity profiles are given by…”

Section: Velocity Profilesmentioning

confidence: 99%

“…HereD g is the diffusion constant in the dextran gel. The analysis in [7], which considers the case of a surface reaction, contains terms only up to O(v 0 ). The same sort of analysis will hold here (as shown below), and thus we may ignore convection in the ligand transport equation.…”

Section: Transport In the Flowmentioning

confidence: 99%

“…In [7], Edwards formulated a mathematical model for this flow and analyzed it in the case where the reacting zone is treated as a surface. Now we shall treat the reaction zone as a layer.…”

mentioning

confidence: 99%

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Convection Effects in Thin Reaction Zones: Applications to Biacore

Edwards¹

2006

SIAM J. Appl. Math.

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Abstract. Surface-volume reactions occur in many physical systems such as biological and industrial processes. Though traditionally modeled as a surface, the reaction zone is usually a thin layer (often a gel) abutting a flowing fluid or gas. Therefore, one would expect a more realistic model for the reacting zone to include the effects of transport in the gel. In this paper we examine the BIAcore, a device for measuring rate constants which has this geometry. To explain anomalous measurements from the device, it has been proposed that some flow penetrates into the dextran (gel) layer, thus enhancing transport. To analyze the reversible kinetics, asymptotic and singular perturbation techniques are used, yielding linear and nonlinear integrodifferential equations. Explicit and asymptotic solutions are constructed for cases motivated by experimental design. The results indicate that such flow penetration effects are bound to be negligible in surface-volume reactions, regardless of the flow model used.

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“…To understand the gel dynamics, we need the value ofĈ f only at the flow-gel interface y = 0. In particular, it can be shown [7] thatĈ f satisfieŝ 3.1. Transport.…”

Section: Transport In the Flowmentioning

confidence: 98%

Section: Velocity Profilesmentioning

confidence: 99%

“…Using these scalings, it can be shown [7] that with suitable boundary and interface conditions, the velocity profiles are given by…”

Section: Velocity Profilesmentioning

confidence: 99%

Section: Transport In the Flowmentioning

confidence: 99%

“…In [7], Edwards formulated a mathematical model for this flow and analyzed it in the case where the reacting zone is treated as a surface. Now we shall treat the reaction zone as a layer.…”

mentioning

confidence: 99%

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Convection Effects in Thin Reaction Zones: Applications to Biacore

Edwards¹

2006

SIAM J. Appl. Math.

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Survey of the year 2006 commercial optical biosensor literature

Rich

Myszka

2007

J of Molecular Recognition

109

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We identified 1219 articles published in 2006 that described work performed using commercial optical biosensor platforms. It is interesting to witness how the biosensor market is maturing with an increased number of instrument manufacturers offering a wider variety of platforms. However, it is clear from a review of the results presented that the advances in technology are outpacing the skill level of the average biosensor user. While we can track a gradual improvement in the quality of the published work, we clearly have a long way to go before we capitalize on the full potential of biosensor technology. To illustrate what is right with the biosensor literature, we highlight the work of 10 groups who have their eye on the ball. To help out the rest of us who have the lights on but nobody home, we use the literature to address common myths about biosensor technology.

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Steric hindrance effects on surface reactions: applications to BIAcore

Edwards

2007

J. Math. Biol.

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Because surface-volume reactions occur in many biological and industrial processes, understanding the rate of such reactions is important. The BIAcore surface plasmon resonance (SPR) biosensor for measuring rate constants has such a geometry. Though several models of the BIAcore have been presented, few take into account that large ligand molecules can block multiple receptor sites, thus skewing the sensogram data. In this paper some general mathematical principles are stated for handling this phenomenon, and a surface-reaction model is presented explicitly. An integro-partial differential equation results, which can be simplified greatly using perturbation techniques, yielding linear and nonlinear integrodifferential equations. Explicit and asymptotic solutions are constructed for cases motivated by experimental design. The general analysis can provide insight into surface-volume reactions occurring in various contexts. In particular, the steric hindrance effect can be quantified with a single dimensionless parameter.

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Convection Effects in the BIAcore Dextran Layer: Surface Reaction Model

Cited by 6 publications

References 34 publications

Convection Effects in Thin Reaction Zones: Applications to Biacore

Convection Effects in Thin Reaction Zones: Applications to Biacore

Survey of the year 2006 commercial optical biosensor literature

Steric hindrance effects on surface reactions: applications to BIAcore

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