Table 1.
Equations for minimal PI(4,5)P
2
–DAG reaction scheme
Equation
No.
d
[
PI
(
4
,
5
)
P
2
]
local
=
d
[
PI
(
4
,
5
)
P
2
]
local
−
d
[
PI
(
4
,
5
)
P
2
]
local
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
6
d
[
DAG
]
=
d
[
DAG
]
+
d
[
PI
(
4
,
5
)
P
2
]
tot
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
−
d
[
DAG
]
·
k
ii
·
dt
7
d
[
IP
3
]
=
d
[
IP
3
]
+
d
[
PI
(
4
,
5
)
P
2
]
tot
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
−
d
[
IP
3
]
·
k
v
·
dt
8
De
f
(
t
)
=
1
−
(
Rd_f
·
exp
(
−
τ
rd
)
/
t
)
+
Sd_f
·
exp
(
−
τ
sd
/
t
)
Rd_f
:
fraction of rapid desensitization
Sd_f
:
fraction of slow desensitization
τ
rd
:
time constant for the rapid desensitization
τ
sd
:
time constant for the slow desensitization
9
k
i
(
t
)
=
k
i
·
B_PLC
pg
•
t
B_PLC
:
basal PLC activity
pg
:
power parameter of
G
q
PCR receptor stimulation
10
d
[
PA
]
=
d
[
PA
]
+
d
[
DAG
]
·
k
ii
·
dt
−
d
[
PA
]
·
k
iii
·
dt
11
d
[
PI
(
4
)
P
]
=
d
[
PI
(
4
)
P
]
+
d
[
PA
]
·
k
iii
·
dt
−
d
[
PI
(
4
)
P
]
·
k
iv
·
dt
12
d
[
PI
(
4
,
5
)
P
2
]
recovered
=
d
[
PI
(
4
)
P
]
·
k
iv
·
dt
−
d
[
PI
(
4
,
5
)
P
2
]
recovered
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
13
d
[
PI
(
4
,
5
)
P
2
]
global
=
d
[
PI
(
4
,
5
)
P
2
]
global
−
d
[
PI
(
4
,
5
)
P
2
]
global
·
k
i_g
(
t
)
·
De
f
(
t
)
·
dt
k
i_g
:
rate constant for global PLC activity
14
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
=
(
d
[
PI
(
4
,
5
)
P
2
]
global
−
d
[
PI
(
4
,
5
)
P
2
]
local
)
·
(
1
−
errf
(
spot
/
sprt
(
4
·
dcoef
·
dt
)
)
)
−
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
errf
:
error function
dcoef
:
diffusion coefficient of PI
(
4
,
5
)
P
2
spot
:
distance between local and global domain
15
d
[
PI
(
4
,
5
)
P
2
]
scavenged_PHd
=
(
d
[
PHd
]
rel
−
d
[
PHd
]
IP3
)
·
(
1
/
(
1
+
K
d,PHd
/
(
d
[
PI
(
4
,
5
)
P
2
]
local
+
d
[
PI
(
4
,
5
)
P
2
]
recovered
+
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
)
)
)
16
d
[
PI
(
4
,
5
)
P
2
]
tot
=
d
[
PI
(
4
,
5
)
P
2
]
local
+
d
[
PI
(
4
,
5
)
P
2
]
recovered
+
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
−
d
[
PI
(
4
,
5
)
P
2
]
scavenged_PHd
17
Equation
No.
d
[
PI
(
4
,
5
)
P
2
]
local
=
d
[
PI
(
4
,
5
)
P
2
]
local
−
d
[
PI
(
4
,
5
)
P
2
]
local
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
6
d
[
DAG
]
=
d
[
DAG
]
+
d
[
PI
(
4
,
5
)
P
2
]
tot
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
−
d
[
DAG
]
·
k
ii
·
dt
7
d
[
IP
3
]
=
d
[
IP
3
]
+
d
[
PI
(
4
,
5
)
P
2
]
tot
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
−
d
[
IP
3
]
·
k
v
·
dt
8
De
f
(
t
)
=
1
−
(
Rd_f
·
exp
(
−
τ
rd
)
/
t
)
+
Sd_f
·
exp
(
−
τ
sd
/
t
)
Rd_f
:
fraction of rapid desensitization
Sd_f
:
fraction of slow desensitization
τ
rd
:
time constant for the rapid desensitization
τ
sd
:
time constant for the slow desensitization
9
k
i
(
t
)
=
k
i
·
B_PLC
pg
•
t
B_PLC
:
basal PLC activity
pg
:
power parameter of
G
q
PCR receptor stimulation
10
d
[
PA
]
=
d
[
PA
]
+
d
[
DAG
]
·
k
ii
·
dt
−
d
[
PA
]
·
k
iii
·
dt
11
d
[
PI
(
4
)
P
]
=
d
[
PI
(
4
)
P
]
+
d
[
PA
]
·
k
iii
·
dt
−
d
[
PI
(
4
)
P
]
·
k
iv
·
dt
12
d
[
PI
(
4
,
5
)
P
2
]
recovered
=
d
[
PI
(
4
)
P
]
·
k
iv
·
dt
−
d
[
PI
(
4
,
5
)
P
2
]
recovered
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
13
d
[
PI
(
4
,
5
)
P
2
]
global
=
d
[
PI
(
4
,
5
)
P
2
]
global
−
d
[
PI
(
4
,
5
)
P
2
]
global
·
k
i_g
(
t
)
·
De
f
(
t
)
·
dt
k
i_g
:
rate constant for global PLC activity
14
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
=
(
d
[
PI
(
4
,
5
)
P
2
]
global
−
d
[
PI
(
4
,
5
)
P
2
]
local
)
·
(
1
−
errf
(
spot
/
sprt
(
4
·
dcoef
·
dt
)
)
)
−
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
·
k
i
(
t
)
·
De
f
(
t
)
·
dt
errf
:
error function
dcoef
:
diffusion coefficient of PI
(
4
,
5
)
P
2
spot
:
distance between local and global domain
15
d
[
PI
(
4
,
5
)
P
2
]
scavenged_PHd
=
(
d
[
PHd
]
rel
−
d
[
PHd
]
IP3
)
·
(
1
/
(
1
+
K
d,PHd
/
(
d
[
PI
(
4
,
5
)
P
2
]
local
+
d
[
PI
(
4
,
5
)
P
2
]
recovered
+
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
)
)
)
16
d
[
PI
(
4
,
5
)
P
2
]
tot
=
d
[
PI
(
4
,
5
)
P
2
]
local
+
d
[
PI
(
4
,
5
)
P
2
]
recovered
+
d
[
PI
(
4
,
5
)
P
2
]
diffused_in
−
d
[
PI
(
4
,
5
)
P
2
]
scavenged_PHd
17
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