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Calcium-Binding Protein Protocols Calcium-Binding Protein Protocols

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Surface Plasmon Resonance of CaBP 109<br />

9. Once the dissociation rate constant has been established, the association rate constant<br />

may be evaluated. Determine the exact time of injection t 0. Delete the first<br />

few minutes of the association phase because they are influenced by the bulk<br />

concentration change. Fit the rest of the association phase to the following equation<br />

in the 1:1 complex case (seethe manual for other stochiometry):<br />

R(t) = R 0 + R eq(1 – exp[–([A]k on + k off)·(t – t 0)])<br />

k on is the association rate constant and R 0 is the SPR value at time 0. R 0 is generally<br />

not the same as the baseline value, because of the sensitivity of the SPR to<br />

changes in solvent composition. It is assumed that the analyte concentration [A]<br />

is held constant in the flow cell during the entire association phase of a certain<br />

SPR experiment because the flow of the mobile phase is fast compared to the<br />

association and dissociation reactions. The SPR value approaches R eq when t<br />

approaches infinity. R eq is equal to<br />

R eq = R max · [A] ·k on / [A] ·k on + k off<br />

R max is the maximum SPR response, which would be observed if there was analyte<br />

bound to all available immobilized molecules (some molecules may be immobilized,<br />

but not available to binding, e.g., because of unsuitable geometry of the<br />

immobilization). R max would, in principle, be constant for all association experiments<br />

run on a particular immobilization surface. Alas, instabilities in the instrument<br />

and the deterioration of the immobilized molecule with time and number of<br />

experiments may cause variations in R max. If the values of k on from the six different<br />

experiments vary within a factor of 2, they can be considered constant.<br />

4. Notes<br />

1. The most versatile matrix for immobilization of macromolecules is the<br />

carboxymethylated dextran matrix, which allows immobilization via native -NH2, -SH, -CHO, and -COOH groups. Other immobilization matrices for use in the<br />

BIAcore instruments are:<br />

a. Streptavidin-coated matrix for binding of biotinylated ligand;<br />

b. Flat hydrophobic surface for lipid coating and binding of membrane binding<br />

macromolecules;<br />

c. NTA-coated matrix for nickel chelation and binding of hisitdine-tagged<br />

ligand. Other matrices are under development by the vendors.<br />

2. When it comes to commercial SPR instruments, the BIAcore instruments are the<br />

most widespread (www.biacore.com). They all use a continuous flow technique,<br />

where the analyte is dissolved in the flow buffer and this is the technique<br />

described in this chapter. A newcomer to the field is the KI1 instrument by BioTul<br />

(www.biotul.com). This is a cuvet-based instrument; i.e., does not support the<br />

continuous flow technique. KI1 will be released after the preparation of this<br />

manuscript (August 1999). A technique similar to SPR, called resonant mirror

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