Biomedical Engineering Reference
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9
10
11
12
13
14
15
16
t(ns)
Fig. 7.13 Electric responses of the C
3
AC
7
strand (
black solid line
) and its 11 fragments
(
grey dashed line
), each translocating independently through the nanopore, computed on the
upper electrode
the whole C
3
AC
7
strand and 205
m
V for the backbone, while the maximum voltage
for a single base is about 35
V. For the sake of comparison, we show on Fig.
7.12b
the voltage traces computed by the multi-scale approach of Gracheva et al. [
19
,
31
].
Note that we display voltage trace versus time as Gracheva et al. plot their trace
versus position, which are equivalent given the constant velocity
v ΒΌ
m
2 m/s used in
both models. Our results feature a good qualitative agreement regarding the shape
of the curves. There is however a major discrepancy in the magnitude of the signal
which is due to the fact that Gracheva et al. compute the voltage signal over a ring
located at the inner constriction of the nanopore by 3D self-consistent Poisson
Solver, while our SPICE model, which computes the voltage signal on the overall
electrode (Fig.
7.2
), accounts for the circuit losses in the membrane leading to a
significant reduction of the signal amplitude read by an external observer. More-
over, the response greatly depends on the parasitic capacitors connected in parallel
on the output as they act as a capacitor divider. As a consequence, these parasitic
capacitors should be minimized as much as possible.
As mentioned earlier, we show in Fig.
7.13
, the simulation of the 11 molecular
fragments of the single-stranded C
3
AC
7
molecule, each translocating indepen-
dently through the nanopore-capacitor. Each fragment is composed of a sugar
ring, a phosphate group and a base (except the first one which does not include
the phosphate group) and results in a voltage dip. These voltage dips look quite
similar and overlap significantly. Moreover the fourth trace related to the fragment
containing the
A
base is not significantly different from the
C
base signatures.
As discussed above, the first fragment signature exhibits a short positive shoulder.
Our qualitative observations are consistent with the analysis of Gracheva et al. [
31
]
as their corresponding simulation features the same characteristics such as the 11
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