Biology Reference
In-Depth Information
56
theoretical values of ln {y/(1-y)} is then squared. For the ten measurements
by Roughton
et al.
, these ten squares are summed to give This
sum of squares is then minimized with respect to the three equilibrium
constants. These three constants can be varied either independently or
together until S reaches a minimum.
Starting with the values of the three constants listed before, we get a value
of S = 0.13715. In the Hill's plot, we can look at the discrepancies between
experimental points and theoretical values of ln {y/(1-y)}. They are listed in
Table 2-3 with these initial values of
and K for the ten experimentally
measure oxygen pressure.
The results in Table 2-3 clearly indicate that the initial estimations of the
three constants give a good fit for experimental data points at very low
oxygen pressure, and not so good for the rest. Since the equation for ln
{y/(1-y)} is highly non-linear, adjusting the three constants can sometimes
get to a local minimum of the sum of squares, S. Therefore, it becomes
