Biomedical Engineering Reference
In-Depth Information
CaseC
ξ
∈
S
.and. ξ
= ξ
..(A.transposon.is.copied.from.schema. ξ
m
,.where. ξ
≠ ξ
,.
m
n
m
and.pasted.onto.schema.ξ.)
If.
ξ ≠
n
.after.transposition,.schema.ξ.is.destroyed..Similar.to.case.A,.the.
condition.of.regional.similarity.is
′
∆ ξ
( ,
V
;
ξ
′
,
V
)
≠
1
⇒ ∆ ξ
( ,
V
;
ξ
,
G
)
≠
1
.
(4.21)
.
k
n
k
k
m
c k
,
The.destructive.rate.
PD
C
.is.then.derived.as
L L
−
L L
−
g
g
p
L L
∑
∑
copy
PD
=
[1
− ∆ ξ
( ,
V
;
ξ
,
G
)]
.
(4.22)
C
k
m
c k
,
2
(
−
+
1)
g
.
c
=
0
k
=
0
while. the. probability. of. a. particular. pair. of.
ξ
m
. and.
ξ
n
. being. selected. is.
given.by
E t
( )
=
P
(
ξ
, ) ( , )
.
t P
ξ
t
(4.23)
.
C
m
The.expected.destruction.of.ξ.is
∑
P
( , )
t
PD E t
( )
ξ
=
×
C
C
C
ξ
∈
S
m
ξ
. (4.24)
L L
−
L L
−
g
g
p
L L
∑
∑
∑
copy
[1
( ,
V
;
,
G
)]
P
(
, ) ( , )
t P
t
=
− ∆ ξ
ξ
ξ
ξ
k
m
c k
,
m
2
(
−
+
1)
g
ξ
∈
S
c
=
0
k
=
0
.
m
ξ
CaseD
ξ
m n
, ..(A.transposon.is.copied.from.schema.
ξ
m
.and.pasted.onto.another.
schema.
ξ
n
,.where.both.of.them.are.not.ξ.)
To.have.
′
ξ
∈
S
ξ =
n
after.transposition,.that.is,.schema.ξ.is.constructed.from.
ξ
n
,.
similar.to.case.B,.the.following.condition.is.obtained:
∆ ξ
( ,
V
;
ξ
′
,
V
) ( ,
∆ ξ
V
′
;
ξ
′
,
V
′ ≠
)
0
⇒ ∆ ξ
( ,
V
;
ξ
,
G
) ( ,
∆ ξ
V
′ ξ
;
,
V
′ ≠
)
0
. (4.25)
.
k
n
k
k
n
k
k
m
c k
,
k
n
k
The.constructive.rate.
PC
D
.for.ξ
in.this.case.is.hence.derived.as
L L
−
L L
−
g
g
p
L L
∑
∑
copy
PC
=
[
∆ ξ
( ,
V
;
ξ
,
G
) ( ,
∆ ξ
V
′ ξ
;
,
V
′
)]
.
(4.26)
D
k
m
c k
,
k
n
k
2
(
−
+
1)
g
.
c
=
0
k
=
0
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