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koff - LEPA

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! = ! eq<br />

t<br />

t d<br />

Exercise : Calculate t a , t d , and τ. Please comment. Plot Γ(t)/Γ eq .<br />

To give some orders of magnitude, Table 1 gives some kinetic values for some classical systems.<br />

k on / M –1 ·s –1 k off / s –1<br />

IgE 10 6 10 –3<br />

IgG4 10 6 10 –2<br />

Avidin-Biotin 10 8 10 –7<br />

ss-DNA 6·10 4 5·10 –5<br />

Exercise : Please comment on the different values<br />

1.3 Adsorption measurement<br />

To monitor the adsorption of target species onto a substrate, one can distinguish label-free<br />

techniques and techniques relying on a chemical labelling step.<br />

Label free techniques include wire conductivity measurements, capacitance measurements,<br />

quartz microbalance measurements, resonators and surface plasmon resonance measurements.<br />

Chemical labelling is used for immunoassays and protein arrays using often a secondary<br />

antibody labelled with an enzyme. Enzyme activity is then monitored by addition of a substrate.<br />

In the case of DNA, the complementary oligo sequence is itself labelled often with a<br />

fluorophore.<br />

Label-free techniques are very useful to measure the kinetics of binding. For example, a flow<br />

system combined to SPR can be used to measure a sensorgram. The measurement is done in two<br />

steps. First, a buffer solution is passed on the detector, and at time t=0, a solution of target<br />

species is injected, the adsorption is then monitored. At a given time, the flowing solution is<br />

switched to the eluent and the desorption is monitored as shown below.<br />

Adsorption<br />

Desorption<br />

Exercise : Please explain the physical principles of a label-free technique (min 1 A4 page).<br />

Derive the equation and draw a sensorgram for the system used above, namely K=10 9 M –1 ,<br />

k on =10 6 M –1 ·s –1 , a bulk analyte concentration of 0.1 pM.<br />

Time<br />

(11)<br />

4

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