Biomedical Engineering Reference
In-Depth Information
Fig. 6.13 The averaged
deviation of force between
the experimental curve and
QM-FJC fitting curve as a
function of l k . The minimum
deviation is obtained at
l k D
50
40
30
0.59 nm (Reprinted from
Ref. [ 35 ]. Copyright 2009,
with permission from
Elsevier)
20
10
0
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
l k / nm
Fig. 6.14 Fitting curve of
QM-FJC model with
l k D
0.59 nm and the
experimental force curve of
ssDNA in organic solvent
(Reprinted from Ref. [ 35 ].
Copyright 2009, with
permission from Elsevier)
For a given value of l k , the fitting curve can be obtained by changing the value
of L [ F ] /L 0 from 1 to 1.12 [ 33 ]. To determine the value of l k , we assume that l k is no
less than a covalent bond, that is, l k 0.154 nm. Comparing the fitting curve with
l k D 0.154 nm and the experimental force curve, one can find that at the low and
high force regime, the two curves can be superimposed together, and the deviation
comes from the middle part. We can find that there is still a deviation in the middle
part between the fitting curve with l k D 1.0 nm and the experimental force curve.
The experimental force curve lies between the two fitting curves of l k D 0.154 and
1.0 nm (see Fig. 6.12 ).
Thus, we can conclude that 1.0 nm
0.154 nm. Then l k is changed from
0.154 to 1.0 nm. At the same time, the deviation between the fitting curves and
the experimental curve is calculated. It can be observed that the fitting curve is
most close to the experimental curve when l k D 0.59 nm (see Fig. 6.13 [ 35 ]). In
this case, the averaged deviation between the fitting curve and the experimental
curve is 10 pN, which is very close to the standard deviation of the noise in the
experimental curve (7.1 pN).
One can see from Fig. 6.14 that the experimental force curve and the fitting curve
of l k D 0.59 nm can be superimposed well in the whole force regime [ 35 ]. This
>
l k >
 
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