Biomedical Engineering Reference
In-Depth Information
ð
8
:
100
Þ
where the subscript
c
is for the cytosol,
o
is for the outer membrane, and
i
is for the matrix;
D
s are the diffusivity constants and
B
s are the reaction rates;
C
s and
E
s are enzymes; and
R
s
and
T
s are the intermediate complexes. The equations that describe this system are
q
ADP
c
¼
D
q
ADP
c
þ
J
ADP
c
1
q
ADP
o
¼
D
1
q
ADP
c
B
1
q
ADP
o
q
C
o
q
ADP
i
¼
B
T
i
J
ADP
i
1
q
T
o
¼
B
q
ADP
o
q
C
o
B
q
T
o
þ
B
q
T
i
1
2
2
q
T
i
¼
B
q
T
o
B
ð
þ
B
Þ
q
T
i
ð
8
:
101
Þ
2
2
1
q
C
o
¼
B
q
ADP
q
C
o
þ
B
q
C
i
B
q
C
o
1
2
2
q
C
i
¼
B
1
q
T
i
þ
B
2
q
C
o
B
2
q
C
i
q
ATP
i
¼
B
q
ATP
i
q
E
i
þ
J
ATP
i
3
q
R
i
¼
B
3
q
ATP
i
q
E
i
þ
B
4
R
o
B
4
R
i
q
R
o
¼
B
q
R
i
B
ð
þ
B
Þ
q
R
o
4
4
3
q
ATP
o
¼
B
q
R
o
D
q
ATP
o
3
2
q
ATP
c
¼
D
q
ATP
o
J
ATP
c
2
q
E
i
¼
B
q
ATP
i
q
E
i
þ
B
q
E
o
B
q
E
i
3
5
5
q
E
o
¼
B
3
q
R
o
þ
B
5
q
E
i
B
5
q
E
o
where
J
ATP
c
and
J
ATP
i
are the consumption/production of ATP in the cytosol and matrix,
and
J
ADP
c
and
J
ADP
i
are the consumption/production of ADP in the cytosol and matrix.
