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Saucerman, Brunton, Michailova, McCulloch, 2003
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Modeling beta-adrenergic control of cardiac myocyte contractility in silico.
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Model Mathematics
Component based math viewer is available
Component: environment
Component: beta_adrenergic_receptor_module
d
d
time
L
=
Ltotmax
-
LR
+
LRG
+
L
LR
=
L
beta1_AR
KL
LRG
=
L
beta1_AR
Gs
KL
KR
RG
=
beta1_AR
Gs
KC
d
d
time
Gs
=
Gstot
-
RG
+
LRG
+
Gs
d
d
time
beta1_AR
=
beta1_ARact
-
LR
+
LRG
+
RG
+
beta1_AR
d
d
time
beta1_ARact
=
k_betaARK_minus
beta1_AR_S464
-
k_betaARK_plus
LR
+
LRG
+
k_PKA_minus
beta1_AR_S301
-
k_PKA_plus
PKACI
beta1_ARact
d
d
time
beta1_AR_S464
=
k_betaARK_plus
LR
+
LRG
-
k_betaARK_minus
beta1_AR_S464
d
d
time
beta1_AR_S301
=
k_PKA_plus
PKACI
beta1_ARact
-
k_PKA_minus
beta1_AR_S301
Component: Gs_activation_module
d
d
time
Gs_alpha_GTPtot
=
k_gact
RG
+
LRG
-
k_hyd
Gs_alpha_GTPtot
d
d
time
Gs_beta_gamma
=
k_gact
RG
+
LRG
-
k_reassoc
Gs_alpha_GDP
Gs_beta_gamma
d
d
time
Gs_alpha_GDP
=
k_hyd
Gs_alpha_GTPtot
-
k_reassoc
Gs_alpha_GDP
Gs_beta_gamma
Component: cyclic_AMP_metabolism_module
d
d
time
Gs_alpha_GTP
=
Gs_alpha_GTPtot
-
Gs_alpha_GTP_AC
+
Gs_alpha_GTP
d
d
time
fsk
=
fsktot
-
fsk_AC
+
fsk
d
d
time
AC
=
ACtot
-
Gs_alpha_GTP_AC
+
AC
d
d
time
PDE
=
PDEtot
-
PDEinhib
+
PDE
d
d
time
IBMX
=
IBMXtot
-
PDEinhib
+
IBMX
Gs_alpha_GTP_AC
=
Gs_alpha_GTP
AC
K_Gs_alpha
fsk_AC
=
fsk
AC
K_fsk
PDEinhib
=
PDE
IBMX
K_IBMX
d
d
time
cAMPtot
=
kAC_basal
AC
ATP
Km_basal
+
ATP
+
kAC_Gs_alpha
Gs_alpha_GTP_AC
ATP
Km_Gs_alpha_GTP
+
ATP
+
kAC_fsk
fsk_AC
ATP
Km_fsk
+
ATP
-
k_PDE
PDE
cAMPtot
Km_PDE
+
cAMPtot
Component: PKA_activation_module
PKI
=
PKItot
Ki_pki
Ki_pki
+
PKACI
+
PKACII
A2RCI
=
PKACI
KD
PKACI
1
+
PKI
Ki_pki
A2RI
=
PKACI
1
+
PKI
Ki_pki
A2RCII
=
PKACII
KD
PKACII
1
+
PKI
Ki_pki
A2RII
=
PKACII
1
+
PKI
Ki_pki
ARCI
=
KA
cAMP
A2RCI
ARCII
=
KA
cAMP
A2RCII
cAMP
=
cAMPtot
-
ARCI
+
2
A2RCI
+
2
A2RI
-
ARCII
+
2
A2RCII
+
2
A2RII
PKAtemp
=
KA
KB
KD
+
KA
cAMP
KD
+
cAMP
cAMP
KD
PKACI
=
2
PKAItot
cAMP
cAMP
-
PKACI
1
+
PKI
Ki_pki
PKAtemp
PKACI
+
cAMP
cAMP
PKACII
=
2
PKAIItot
cAMP
cAMP
-
PKACII
1
+
PKI
Ki_pki
PKAtemp
PKACII
+
cAMP
cAMP
Component: phospholamban_regulation_module
d
d
time
PP1
=
PP1tot
-
PP1_Inhib1p
+
PP1
PP1_Inhib1p
=
PP1
Inhib1p
KInhib1
d
d
time
Inhib1p
=
Inhib1ptot
-
PP1_Inhib1p
+
Inhib1p
d
d
time
PLBp
=
kPKA_PLB
PKACI
PLB
KmPKA_PLB
+
PLB
-
kPP1_PLB
PP1
PLBp
KmPP1_PLB
+
PLBp
PLB
=
PLBtot
-
PLBp
d
d
time
Inhib1ptot
=
kPKA_Inhib1
PKACI
Inhib1ptot
KmPKA_Inhib1
+
Inhib1ptot
-
VmaxPP2A_Inhib1
Inhib1
KmPP2A_Inhib1
+
Inhib1
d
d
time
Inhib1
=
VmaxPP2A_Inhib1
Inhib1
KmPP2A_Inhib1
+
Inhib1
-
kPKA_Inhib1
PKACI
Inhib1ptot
KmPKA_Inhib1
+
Inhib1ptot
fracPLBp
=
PLBp
PLBtot
fracPLB
=
PLB
PLBtot
Source
Derived from workspace
Saucerman, Brunton, Michailova, Mcculloch, 2003
at changeset
32016fbb7ea9
.
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Modeling beta-adrenergic control of cardiac myocyte contractility in silico.