Biomedical Engineering Reference
In-Depth Information
.
2..
Pasted region
:.
I
c k
i
. indicates. the. bit. locations. within.
p
[
,
p
]
. of. ξ.
,
1
2
i
where.the.transposon.is.pasted.onto.ξi
ξ
i
.
.
3..
Moved region
:.
M
c k
i
. indicates. the. bit. locations. within.
p
[
,
p
2
. of. ξ.
]
1
,
i
where.some.bits.of.ξi
ξ
i
.are.shifted.
.
4..
Moving region
:.
. indicates. the. bit. locations. in.
ξ
i
. shifting. to.
M
c k
i
′
,
i
M
c k
i
,
.in.
ξ
i
.
′
.
5..
Unchanged region
:.
R
c k
i
,
. indicates. the. bit. locations. within.
p
[
,
p
2
.
]
1
where.
ξ
i
.remains.unaffected.by.the.operation.
The.calculations.of.these.regions.can.be.derived.as.follows:
G
=
[
c
+
max(
p
−
L
, 0),
c
+
min(
p
+
L
−
L L
,
−
1)]
.
(4.31)
c
,
c k
,
j
1
i
j
1
d
i
g
.
j
i
i
I
=
[max(
p L
,
),min(
p
+
L L
,
+
L
−
1)]
.
(4.32)
c k
,
1
i
1
d
i
g
.
i
i
M
[max(
p k
,
L
),min(
c
L
1,
p
L
)]
=
+
+
−
+
c k
,
1
i
g
i
g
1
d
i
i
.
(4.33)
[max(
p c
,
),min(
k
−
L
−
1,
p
+
L
)]
.
1
i
i
g
1
d
M
′
=
[max(
p
−
L k
,
),min(
c
−
1,
p
+
L
−
L
)]
c k
,
1
g
i
i
1
d
g
i
i
. (4.34)
[max(
p
+
L c
,
+
L
),min(
k
−
1,
p
+
L
+
L
)]
1
g
i
g
i
1
d
g
.
R
=
[
p
,min(
k
−
1,
c
−
1,
p
+
L
)]
[max(
k c
,
+
L p
,
),
p
+
L
]
. (4.35)
c k
,
1
i
i
1
d
i
i
g
1
1
d
.
i
i
where.
imedian( , , )
.
Again,.according.to.the.choices.of.
ξ
m
.and.
ξ
n
,.three.different.cases.are.studied.
L
=
c k
−
L k
i
i
i
g
i
CaseA
ξ
.and.
ξ
.
= ξ
= ξ
m
n
To.have.
,.that.is,.schema.ξ.is.destroyed,.one.must.have
ξ
′
≠ ξ
m
∆ ξ
( ,
I
;
ξ
′
,
I
) ( ,
∆ ξ
M
;
ξ
′
,
M
)
≠
1
c
,
k
m c
,
k
c
,
k
m
c
,
k
m m
m m
m m
m m
.
(4.36)
⇒ ∆ ξ
( ,
I
;
ξ
,
G
) ( ,
∆ ξ
M
;
ξ
,
M
′
)
≠
1
.
c
,
k
c
,
c
,
k
c
,
k
c
,
k
m m
n m m
m m
m m
Similarly,.to.have.
′
,.one.has
ξ
≠ ξ
n
∆ ξ
( ,
I
;
ξ
′
,
I
) ( ,
∆ ξ
M
;
ξ
′
,
M
)
≠
1
c
,
k
n
c
,
k
c
,
k
n
c
,
k
n
n
n
n
n
n
n
n
.
(4.37)
⇒ ∆ ξ
( ,
I
;
ξ
,
G
) ( ,
∆ ξ
M
;
ξ
,
M
′
)
≠
1
.
c
,
k
c
,
c
,
k
c
,
k
c
,
k
n
n
m n
n
n
n
n
n
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