Table 1. Optimisation of conditions for determining metal–protein affinities at [M]tot = 10 µM1.
No | logKex2 | [P]tot3 (µM) | [MP]4 (µM) | [ML] or [ML2]4 (µM) | [L]tot (1 : 1)4 (µM) | [L]tot (1 : 2)4 (µM) | [MP]/[P]tot | [ML]/[L]tot or 2[ML2]/[L]tot |
---|---|---|---|---|---|---|---|---|
1 | −2.0 | 10 | 5.0 | 5.0 | 505 | — | 0.5 | 0.01 |
2 | −1.0 | 10 | 5.0 | 5.0 | 55 | — | 0.5 | 0.09 |
3 | 0.0 | 10 | 5.0 | 5.0 | 10 | — | 0.5 | 0.5 |
4 | 1.0 | 55 | 5.0 | 5.0 | 10 | — | 0.09 | 0.5 |
5 | 1.0 | 10 | 5.0 | 5.0 | — | 717 | 0.5 | 0.01 |
6 | 2.0 | 10 | 5.0 | 5.0 | — | 234 | 0.5 | 0.04 |
7 | 3.0 | 10 | 5.0 | 5.0 | — | 81 | 0.5 | 0.12 |
8 | 4.0 | 10 | 5.0 | 5.0 | — | 32 | 0.5 | 0.3 |
95 | 4.7 | 10 | 5.0 | 5.0 | — | 20 | 0.5 | 0.5 |
↓ 16 |
↓ 5.0 |
↓ 5.0 |
↓ 25 |
↓ 0.3 |
↓ 0.4 |
|||
10 | 6.0 | 230 | 5.0 | 5.0 | — | 25 | 0.02 | 0.4 |
[M]tot is decided by the detection sensitivity. Selection of [M]tot = 10 µM here is based on an assumption that the response of the selected probe is sensitive enough for a reliable quantification of the metal–probe complex MP in the system, but the [M]tot term may be scaled up or down along with [P]tot and [L]tot according to equations 8a and 8b, respectively. For example, the condition of for the stoichiometric competition of case 3 involving a 1 : 1 ML complex remains unchanged with the reaction re-scaling, but for the same stoichiometric reaction of case 9 involved a 1 : 2 ML2 complex changes with [M]tot according to and thus the value = 4.7 applies to the case of [M]tot = 10 µM only;
for equation 7a or for equation 7b;
[P]tot ≥ [M]tot;
Calculated via equation 8a or 8b with the condition that ;
The experiment of case 9 with a molar ratio may run the risk of forming some 1 : 1 ML complex and it is generally advisable to set to ensure ML2 complex formation: thus, a new set of conditions for case 9 may be re-set as the arrows suggest.