Biomedical Engineering Reference
In-Depth Information
where.
p
copy
.is.the.operational.rate.of.the.copy-and-paste.operation,.and.the.fac-
tor.
1
L L
− +
. indicates. the. probability. of. selecting. a. particular. pair. of.
c
. and.
k
..
The.occurrence.probability.of.case.A.is.given.as
1)
2
(
E t
A
( )
=
P
( , )
ξ
t P
( , )
.
ξ
t
(4.15)
.
Hence,.the.expected.destruction.of.ξ.in.this.case.is.calculated.as
P
( , )
ξ
t
=
PD E t
×
( )
A
A
A
.
(4.16)
L L
−
L L
−
g
g
p
L L
∑
∑
copy
=
[1
− ∆ ξ
( ,
V
;
ξ
,
G
)]
P
( , ) ( , )
ξ
t P
ξ
t
k
c k
,
2
(
−
+
1)
g
.
c
0
k
0
=
=
CaseB
ξ
n
..(A.transposon.is.copied.from.schema.ξ.and.pasted.onto.
another.schema.
ξ
n
.where.
ξ
= ξ
.and. ξ ∈
m
n
.)
If. ′ξ =
n
.after.transposition,.schema.ξ.is.constructed..This.can.be.described.
by.the.regional.similarity.expressed.as
≠ ξ
∆ ξ
( ,
V
;
ξ
′
,
V
) ( ,
∆ ξ
V
′
;
ξ
′
,
V
′ ≠
) 0
⇒ ∆ ξ
( ,
V
;
ξ
,
G
) ( ,
∆ ξ
V
′ ξ
;
,
V
′ ≠
) 0.
.
k
n
k
k
n
k
k
c k
,
k
n
k
. (4.17)
The.constructive.rate.
PC
B
.of.ξ.from.
ξ
n
.is.then.obtained.by
L L
−
L L
−
g
g
p
L L
∑
∑
copy
PC
=
[
∆ ξ
( ,
V
;
ξ
,
G
) ( ,
∆ ξ
V
′ ξ
;
,
V
′
)]
.
(4.18)
B
k
c k
,
k
n
k
2
(
−
+
1)
g
.
c
=
0
k
=
0
while.the.selection.probability.of.a.particular.pair.of.
ξ
m
.and.
ξ
n
.is
E t
( )
=
P
( , ) (
ξ
t P
ξ
, )
.
t
(4.19)
.
B
n
Hence.the.expected.construction.of.ξ.in.this.case.is
∑
P
( , )
ξ
t
=
PC
×
E t
( )
B
B
B
ξ ∈
S
n
ξ
p
L L
copy
.
(4.20)
=
2
(
−
+
1)
g
L L
−
L L
−
g
g
∑
∑
∑
[
( ,
V
;
,
G
) ( ,
V
;
,
V P
)]
( , ) (
t P
, )
t
×
∆ ξ
ξ
∆ ξ
′ ξ
′
ξ
ξ
k
c k
,
k
n
k
n
ξ ∈
S
c
=
0
k
=
0
.
n
ξ
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