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Figure 3 | Theoretical Biology and Medical Modelling

Figure 3

From: A danger of low copy numbers for inferring incorrect cooperativity degree

Figure 3

Fraction of bound proteins (pure initial state), exact result. Exact dose response curves for a system in pure states. As in Fig. 2 the thickest full line is the reference Hill curve. Thinner curves were generated by direct diagonalisation of the master equation. The thinner full lines are obtained for fixed value of P0 and looping values of L0. For each point (L0, P0) the master equation was solved numerically and observables of interest were computed. The full line is for P0 = 2. The dashed line is obtained for a much larger number of receptors P0 = 8. This figure shows that exact dose response curves are multi-valued. Since not all points are physical, the points were connected using linear interpolation to guide the eye. The dose response curves obtained in such a way are rather erratic. Furthermore, the multi-value character is not an artefact of using linear interpolation. There are many physical points with nearly identical values for a having many distinct values for φ.

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