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Model Mathematics
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Component: environment
d
d
time
q_DAG
=
v_R2b_PLC
+
v_R3b_PLC
-
v_R0_PLC
d
d
time
q_PC
=
v_R0_PLC
d
d
time
q_IP3
=
v_R2b_PLC
+
v_R3b_PLC
-
v_R1_PLC
d
d
time
q_Ino
=
v_R1_PLC
d
d
time
q_PLC
=
-
v_R4_PLC
-
v_R5_PLC
d
d
time
q_Gq
=
-
v_R5_PLC
+
v_R7_PLC
+
Gq_stim
d
d
time
q_Ca
=
-
v_R4_PLC
-
v_R6_PLC
d
d
time
q_Gq_PLC
=
v_R5_PLC
-
v_R6_PLC
d
d
time
q_Ca_PLC
=
-
v_R2a_PLC
+
v_R2b_PLC
+
v_R4_PLC
+
v_R7_PLC
+
v_R8_PLC
d
d
time
q_Ca_Gq_PLC
=
-
v_R3a_PLC
+
v_R3b_PLC
+
v_R6_PLC
-
v_R7_PLC
-
v_R8_PLC
d
d
time
q_G_GDP
=
v_R8_PLC
d
d
time
q_PIP2
=
-
v_R2a_PLC
-
v_R3a_PLC
d
d
time
q_CaPLC_PIP2
=
v_R2a_PLC
-
v_R2b_PLC
d
d
time
q_CaGqPLC_PIP2
=
v_R3a_PLC
-
v_R3b_PLC
tPeriod
=
time
-
⌊
time
stimPeriod
⌋
stimPeriod
Gq_stim
=
0
100
if
tPeriod
≥
0.3
∧
tPeriod
≦
0.3
+
stimDuration
0.0
otherwise
cGq
=
q_Gq
vol_myo
cCa
=
q_Ca
vol_myo
cDAG
=
q_DAG
vol_myo
cIP3
=
q_IP3
vol_myo
Component: PLC_parameters
Component: PLC
mu_DAG
=
R
T
ln
K_DAG
q_DAG
mu_PC
=
R
T
ln
K_PC
q_PC
mu_IP3
=
R
T
ln
K_IP3
q_IP3
mu_Ino
=
R
T
ln
K_Ino
q_Ino
mu_PLC
=
R
T
ln
K_PLC
q_PLC
mu_Gq
=
R
T
ln
K_Gq
q_Gq
mu_Ca
=
R
T
ln
K_Ca
q_Ca
mu_Gq_PLC
=
R
T
ln
K_Gq_PLC
q_Gq_PLC
mu_Ca_PLC
=
R
T
ln
K_Ca_PLC
q_Ca_PLC
mu_Ca_Gq_PLC
=
R
T
ln
K_Ca_Gq_PLC
q_Ca_Gq_PLC
mu_G_GDP
=
R
T
ln
K_G_GDP
q_G_GDP
mu_PIP2
=
R
T
ln
K_PIP2
q_PIP2
mu_CaPLC_PIP2
=
R
T
ln
K_CaPLC_PIP2
q_CaPLC_PIP2
mu_CaGqPLC_PIP2
=
R
T
ln
K_CaGqPLC_PIP2
q_CaGqPLC_PIP2
v_R0_PLC
=
kappa_R0_PLC
ⅇ
mu_DAG
R
T
-
ⅇ
mu_PC
R
T
v_R1_PLC
=
kappa_R1_PLC
ⅇ
mu_IP3
R
T
-
ⅇ
mu_Ino
R
T
v_R2a_PLC
=
kappa_R2a_PLC
ⅇ
mu_PIP2
+
mu_Ca_PLC
R
T
-
ⅇ
mu_CaPLC_PIP2
R
T
v_R2b_PLC
=
kappa_R2b_PLC
ⅇ
mu_CaPLC_PIP2
R
T
-
ⅇ
mu_DAG
+
mu_IP3
+
mu_Ca_PLC
R
T
v_R3a_PLC
=
kappa_R3a_PLC
ⅇ
mu_PIP2
+
mu_Ca_Gq_PLC
R
T
-
ⅇ
mu_CaGqPLC_PIP2
R
T
v_R3b_PLC
=
kappa_R3b_PLC
ⅇ
mu_CaGqPLC_PIP2
R
T
-
ⅇ
mu_DAG
+
mu_IP3
+
mu_Ca_Gq_PLC
R
T
v_R4_PLC
=
kappa_R4_PLC
ⅇ
mu_PLC
+
mu_Ca
R
T
-
ⅇ
mu_Ca_PLC
R
T
v_R5_PLC
=
kappa_R5_PLC
ⅇ
mu_PLC
+
mu_Gq
R
T
-
ⅇ
mu_Gq_PLC
R
T
v_R6_PLC
=
kappa_R6_PLC
ⅇ
mu_Gq_PLC
+
mu_Ca
R
T
-
ⅇ
mu_Ca_Gq_PLC
R
T
v_R7_PLC
=
kappa_R7_PLC
ⅇ
mu_Ca_Gq_PLC
R
T
-
ⅇ
mu_Gq
+
mu_Ca_PLC
R
T
v_R8_PLC
=
kappa_R8_PLC
ⅇ
mu_Ca_Gq_PLC
R
T
-
ⅇ
mu_G_GDP
+
mu_Ca_PLC
R
T
Component: units
Component: constants
Source
Derived from workspace
BG_PLC
at changeset
98c2d94ee9d4
.
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