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Cortassa et al. (2006) ECME model
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cellml-1.0
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Cortassa et al. (2006) ECME model
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Model Mathematics
Component based math viewer is available
Component: time
Component: stimulus_current
Istim
=
stimCurrent
if
time
mod
stimPeriod
<
stimDuration
0.0
otherwise
Component: model
Component: parameters
Component: initial_values
Component: model_1
Component: computed_constants
Vtotal
=
Vmyo
+
VJSR
+
VNSR
+
VSS
0.64
Vmito
=
Vtotal
0.36
f_01
=
3.0
f_xb
f_12
=
10.0
f_xb
f_23
=
7.0
f_xb
g0_01
=
1.0
gmin_xb
g0_12
=
2.0
gmin_xb
g0_23
=
3.0
gmin_xb
paths
=
g0_01
g0_12
g0_23
+
f_01
g0_12
g0_23
+
f_01
f_12
g0_23
+
f_01
f_12
f_23
P1max
=
f_01
2.0
gmin_xb
3.0
gmin_xb
paths
P2max
=
f_01
f_12
3.0
gmin_xb
paths
P3max
=
f_01
f_12
f_23
paths
Fmax
=
P1max
+
2.0
P2max
+
3.0
P3max
fnormmax
=
Fmax
3.0
SLnorm
=
SL
-
1.7
0.6
Ktrop_Ca
=
kltrpn_minus
kltrpn_plus
Ktrop_half
=
1.0
1.0
+
Ktrop_Ca
1.7
1000.0
+
0.9
1000.0
-
1.7
1000.0
2.3
-
1.7
SL
-
1.7
Ntrop
=
3.5
SL
-
2.0
fnormmax2
=
P1max
+
P2max
+
P3max
La
=
1.0
Lm_prime
=
1.5
Lz
=
0.1
Lb
=
0.1
Lm
=
Lm_prime
-
Lb
mod_factor
=
1.0
+
2.3
-
SL
2.3
-
1.7
1.0
1.6
alpha_SL
=
min
{
1.0
SL
-
2.0
La
+
Lm_prime
-
Lz
Lm
}
if
SL
<
2.2
1.0
-
SL
-
2.2
Lm
otherwise
g_01_mod
=
g0_01
mod_factor
g_12_mod
=
g0_12
mod_factor
g_23_mod
=
g0_23
mod_factor
g_01_off
=
30.0
1000.0
g_01_off_mod
=
g_01_off
mod_factor
RT_over_F
=
R
T
Faraday
G_Ks
=
0.282
Ko
5.4
G_K1
=
0.75
Ko
5.4
inv_5p98
=
1.0
5.98
FaradayE3
=
1000.0
Faraday
Cao_341
=
Cao
341.0
ICamax_LHospital
=
2.0
PCa
1000.0
Faraday
1.0
-
341.0
Cao
Pca_4En3
=
4.0
1.0e-3
PCa
F_over_RT
=
1.0
RT_over_F
inv_ICahalf
=
1.0
ICahalf
PKFe3
=
FaradayE3
PK
sigma
=
0.0365
ⅇ
Nao
67.3
-
1.0
7.0
inv_KmNai
=
1.0
KmNai
INaKmax_Ko_Ko_KmKo
=
INaKmax
Ko
Ko
+
KmKo
inv_Ki1AD_NaK
=
1.0
Ki1AD_NaK
eta_1
=
eta
-
1.0
Nao_p3
=
Nao
3.0
Cao
KmCa_Cao
=
KmCa
+
Cao
KmNa
3.0
+
Nao
3.0
kNaCa
Cao
KmCa_Cao_ksat
=
KmCa_Cao
ksat
inv_KiADP_CaP
=
1.0
KiADP_CaP
KmnsCa_p3
=
KmnsCa
3.0
V_AM_scaler_max_1_f_01_12_23
=
V_AM_scaler
V_AM_max
f_01
+
f_12
+
f_23
KmATP_AM_Ki_AM
=
KmATP_AM
Ki_AM
DmuH_Constant
=
-2.303
RT_over_F
DpH
VCS_C1
=
KCS
EtCS
AcCoA
KmAcCoA
+
AcCoA
one_inv_KACOeq
=
1.0
+
1.0
KACOeq
VIDH_Constant
=
1.0
+
H
kh_1
+
kh_2
H
kIDH_EtID
=
kIDH
EtID
inv_KADP
=
1.0
KADP
inv_KaCa
=
1.0
KaCa
inv_KidhNADH
=
1.0
KidhNADH
KmKGNAD_KmIDNAD
=
KmKGNAD
KmIDNAD
Mg_Kmg_1
=
Mg
Kmg
+
1.0
Mg_Kmg_1_Kca
=
Mg_Kmg_1
Kca
kKGDH_EtKG
=
kKGDH
EtKG
CoA_KSLeq
=
CoA
KSLeq
kSDH_EtSDH
=
kSDH
EtSDH
KmSucc_KiFUM
=
KmSucc
KiFUM
inv_KiOxaa
=
1.0
KiOxaa
kfFH_KFHeq
=
kfFH
KFHeq
kMDH_Fh_EtMD
=
1.0
1.0
+
Kh3
H
+
Kh3
Kh4
H
2.0
2.0
1.0
1.0
+
H
Kh1
+
H
2.0
Kh1
Kh2
+
Koff
kMDH
EtMD
Kmal_Kioaa
=
Kmal
Kioaa
VAAT_Constant
=
kfAAT
GLU
kcnsASP
KAATeq
kfAAT
kcnsASP_KAATeq_kfAAT
=
kcnsASP
KAATeq
kfAAT
KfAAT_GLU
=
kfAAT
GLU
KfAAT_KAATeq
=
kfAAT
KAATeq
kres_sq_KmIDNAD
=
kres
kres
KmIDNAD
exp_6_FRT_Dpsio
=
ⅇ
6.0
Dpsio
F_over_RT
FRT_6_g
=
6.0
g
F_over_RT
ra_rc1_exp_6_FRT_Dpsio
=
ra
+
rc1
exp_6_FRT_Dpsio
r1_exp_6_FRT_Dpsio
=
r1
exp_6_FRT_Dpsio
rhoREN_ra_rc1_exp_6_FRT_Dpsio
=
0.5
rhoREN
ra_rc1_exp_6_FRT_Dpsio
rhoREN_rc2
=
0.5
rhoREN
rc2
rhoREN_ra
=
0.5
rhoREN
ra
rhoRen_6_ra
=
6.0
rhoREN
ra
rhoRen_6_ra_rb
=
6.0
rhoREN
ra
+
rb
AREF
=
RT_over_F
log
10
kresf
FADH2
FAD
exp_AREF_FRT
=
ⅇ
AREF
F_over_RT
ra_rc2_exp_AREF_FRT
=
0.5
ra
+
rc2
exp_AREF_FRT
VFO_C1
=
ra
+
rc1
exp_6_FRT_Dpsio
exp_AREF_FRT
0.5
ra_exp_AREF_FRT
=
4.0
ra
exp_AREF_FRT
ra_rb
=
4.0
ra
+
rb
VFO_VHFe_C1
=
1.0
+
r1
exp_AREF_FRT
exp_6_FRT_Dpsio
r2_r3_exp_AREF_FRT
=
r2
+
r3
exp_AREF_FRT
exp_3_FRT_Dpsio
=
ⅇ
3.0
Dpsio
F_over_RT
FRT_3
=
3.0
F_over_RT
kf1_Pi
=
kf1
Pi
VATPase_C1
=
100.0
pa
+
pc1
exp_3_FRT_Dpsio
pa_pb_3
=
3.0
pa
+
pb
pa_300
=
300.0
pa
p1_exp_3_FRT_Dpsio
=
p1
exp_3_FRT_Dpsio
hm_F_over_RT
=
hm
F_over_RT
VmDT_75
=
0.75
VmDT
VmDT_20
=
20.0
VmDT
inv_Kfb
=
1.0
Kfb
inv_Krb
=
1.0
Krb
inv_tautr
=
1.0
tautr
inv_tauxfer
=
1.0
tauxfer
KmATP_SR_Ki_SR
=
KmATP_SR
Ki_SR
inv_Ki_prime_SR
=
1.0
Ki_prime_SR
alpha_SL_fnormmax2
=
alpha_SL
fnormmax2
alpha_SL_fnormmax
=
alpha_SL
fnormmax
3.0
inv_LTRPNtot_Ktrop_half
=
1.0
LTRPNtot
Ktrop_half
kTrop_pn_f_01
=
-
kTrop_pn
-
f_01
kTrop_pn_f_12_g_01_mod
=
-
kTrop_pn
+
f_12
+
g_01_mod
f_23_g_12_mod
=
-
f_23
+
g_12_mod
CMDNtot_KmCMDN
=
CMDNtot
KmCMDN
CSQNtot_KmCSQN
=
CSQNtot
KmCSQN
inv_ktrans
=
1.0
ktrans
inv_kact
=
1.0
kact
Vmuni_ktrans
=
Vmuni
ktrans
FRT2
=
2.0
F_over_RT
b_05
=
b
0.5
Acap_Vmyo_F
=
Acap
Vmyo
Faraday
1000.0
Acap_VSS_F
=
Acap
2.0
VSS
Faraday
1000.0
VJSR_VSS
=
VJSR
VSS
Vmyo_VSS
=
Vmyo
VSS
Vmyo_VNSR
=
Vmyo
VNSR
VJSR_VNSR
=
VJSR
VNSR
inv_C_m
=
1.0
C_m
inv_bL
=
1.0
bL
inv_Cmito
=
1.0
Cmito
two_b
=
2.0
b
inv_keq
=
1.0
keq
zeta_alpha_SL_fnormmax
=
zeta
alpha_SL_fnormmax
Component: model_2
ADP
=
8.0
-
ATPi
inv_ATPi
=
1.0
ATPi
VF_over_RT
=
V
F_over_RT
exp_VF_over_RT
=
ⅇ
VF_over_RT
VFsq_over_RT
=
FaradayE3
VF_over_RT
exp2VFRT
=
exp_VF_over_RT
exp_VF_over_RT
O1_RyR
=
1.0
-
C1_RyR
+
C2_RyR
+
O2_RyR
V_30
=
V
+
30.0
V_E_K
=
V
-
E_K
INa
=
G_Na
mNa
mNa
mNa
hNa
jNa
V
-
E_Na
IKs
=
G_Ks
xKs
xKs
V
-
E_Ks
1.0
+
ⅇ
V
-
40.0
40.0
K1Alpha
=
1.02
1.0
+
ⅇ
0.2385
V_E_K
-
59.215
K1Beta
=
0.4912
ⅇ
0.08032
V_E_K
+
5.476
+
ⅇ
0.06175
V_E_K
-
594.31
1.0
+
ⅇ
-0.5143
V
-
E_K
+
4.753
K1_inf
=
K1Alpha
K1Alpha
+
K1Beta
IK1
=
G_K1
K1_inf
V_E_K
INab
=
G_Nab
V
-
E_Na
IKp
=
G_Kp
V_E_K
1.0
+
ⅇ
7.488
-
V
inv_5p98
ICamax
=
Pca_4En3
exp2VFRT
-
Cao_341
0.5
-
0.02
V
if
|
V
|
<
LHospitalThreshold
Pca_4En3
VFsq_over_RT
exp2VFRT
-
Cao_341
exp2VFRT
-
1.0
otherwise
ICaK
=
PKFe3
Open
+
OCa
yCa
Ki
exp2VFRT
-
Ko
0.5
-
0.02
V
1.0
+
ICamax
inv_ICahalf
if
|
V
|
<
LHospitalThreshold
PKFe3
Open
+
OCa
yCa
Ki
exp2VFRT
-
Ko
VF_over_RT
exp2VFRT
-
1.0
1.0
+
ICamax
inv_ICahalf
otherwise
ICa
=
6.0
ICamax
yCa
Open
NaiP1p5
=
Nai
Nai
Nai
INaK
=
INaKmax_Ko_Ko_KmKo
NaiP1p5
NaiP1p5
+
KmNai
KmNai
KmNai
1.0
+
0.1245
ⅇ
-0.1
VF_over_RT
+
sigma
exp_VF_over_RT
1.0
+
Km1AT_NaK
inv_ATPi
1.0
+
ADP
inv_Ki1AD_NaK
exp_eta_VF_over_RT
=
ⅇ
eta
VF_over_RT
exp_eta1_VF_over_RT
=
exp_eta_VF_over_RT
exp_VF_over_RT
INaCa
=
exp_eta_VF_over_RT
Nai
Nai
Nai
-
exp_eta1_VF_over_RT
Nao_p3
Cai
KmCa_Cao
+
KmCa_Cao_ksat
exp_eta1_VF_over_RT
ICab
=
G_Cab
V
-
E_Ca
IpCa
=
IpCamax
Cai
KmpCa
+
Cai
1.0
1.0
+
Km1ATP_CaP
inv_ATPi
1.0
+
ADP
inv_KiADP_CaP
+
1.0
1.0
+
Km2ATP_CaP
inv_ATPi
CaiP3
=
Cai
Cai
Cai
common
=
0.75
CaiP3
1.0
-
0.02
V
CaiP3
+
KmnsCa_p3
if
|
V
|
<
LHospitalThreshold
0.75
CaiP3
VFsq_over_RT
exp_VF_over_RT
-
1.0
CaiP3
+
KmnsCa_p3
otherwise
InsNa
=
PnsNa
common
Nai
exp_VF_over_RT
-
Nao
InsK
=
PnsK
common
Ki
exp_VF_over_RT
-
Ko
InsCa
=
InsNa
+
InsK
V_AM
=
V_AM_scaler_max_1_f_01_12_23
f_01
P0
+
f_12
P1
+
f_23
P2
1.0
+
inv_ATPi
KmATP_AM
+
KmATP_AM_Ki_AM
ADP
ATPm
=
Cm
-
ADPm
DmuH
=
DmuH_Constant
+
Dpsi
NAD
=
CPN
-
NADH
KmIDNAD_NAD
=
KmIDNAD
NAD
exp_FRT_6_g_DmuH
=
ⅇ
FRT_6_g
DmuH
FRT2_Dpsi
=
FRT2
Dpsi
-
91.0
VCS
=
VCS_C1
Oaa
Oaa
+
KmOaa
VACO
=
kfACO
CIK
-
AKG
+
SCoA
+
Succ
+
FUM
+
MAL
+
Oaa
+
ISOC
one_inv_KACOeq
Fa
=
1.0
1.0
+
ADPm
inv_KADP
1.0
+
Cam
inv_KaCa
Fi
=
1.0
+
NADH
inv_KidhNADH
VIDH
=
kIDH_EtID
VIDH_Constant
+
KmIDNAD_NAD
Fi
+
Kmiso
ISOC
nID
Fa
1.0
+
KmIDNAD_NAD
Fi
a__1
=
Mg_Kmg_1
+
Mg_Kmg_1_Kca
Cam
VKGDH
=
kKGDH_EtKG
a__1
a__1
+
KmKG
AKG
nKG
+
KmKGNAD_KmIDNAD
KmIDNAD_NAD
VSL
=
kfSL
SCoA
ADPm
-
CoA_KSLeq
Succ
ATPm
VSDH
=
kSDH_EtSDH
Succ
Succ
+
KmSucc
+
KmSucc_KiFUM
FUM
1.0
+
inv_KiOxaa
Oaa
VFH
=
kfFH
FUM
-
kfFH_KFHeq
MAL
VMDH
=
kMDH_Fh_EtMD
MAL
NAD
MAL
+
Kmal
+
Oaa
Kmal_Kioaa
KmmNAD
+
NAD
VAAT
=
VAAT_Constant
Oaa
kcnsASP_KAATeq_kfAAT
+
AKG
AREN
=
NADH
kres_sq_KmIDNAD
KmIDNAD_NAD
denominator1
=
1.0
exp_6_FRT_Dpsio
+
r1_exp_6_FRT_Dpsio
AREN
+
r2
+
r3
AREN
exp_FRT_6_g_DmuH
VNO
=
rhoREN_ra_rc1_exp_6_FRT_Dpsio
+
rhoREN_rc2
exp_FRT_6_g_DmuH
AREN
-
rhoREN_ra
exp_FRT_6_g_DmuH
denominator1
VHNe
=
rhoRen_6_ra
AREN
-
rhoRen_6_ra_rb
exp_FRT_6_g_DmuH
denominator1
denominator2
=
rhoREF
VFO_VHFe_C1
+
r2_r3_exp_AREF_FRT
exp_FRT_6_g_DmuH
VHFe
=
ra_exp_AREF_FRT
-
ra_rb
exp_FRT_6_g_DmuH
denominator2
exp_3FRT_DmuH
=
ⅇ
FRT_3
DmuH
AF1
=
kf1_Pi
ATPm
ADPm
denominator3
=
-
rhoF1
exp_3_FRT_Dpsio
+
p1_exp_3_FRT_Dpsio
AF1
+
p2
+
p3
AF1
exp_3FRT_DmuH
VATPase
=
VATPase_C1
+
pc2
exp_3FRT_DmuH
AF1
-
pa
exp_3FRT_DmuH
denominator3
Vhu
=
pa_300
+
pa_300
AF1
-
pa_pb_3
exp_3FRT_DmuH
denominator3
ATPi_ADP
=
ATPi
ADP
ADPm_ATPm
=
ADPm
ATPm
VANT
=
VmDT_75
-
VmDT_20
ATPi_ADP
ADPm_ATPm
ⅇ
-
F_over_RT
Dpsi
1.0
+
10.0
9.0
ATPi_ADP
ⅇ
-
hm_F_over_RT
Dpsi
1.0
+
18.0
ADPm_ATPm
Vhleak
=
gh
DmuH
MAlpha
=
3.2
if
V
=
-47.13
0.32
V
+
47.13
1.0
-
ⅇ
-0.1
V
+
47.13
otherwise
MBeta
=
0.08
ⅇ
-
V
1.0
11.0
inv_MBeta_MAlpha
=
1.0
MBeta
+
MAlpha
tmNa
=
MAlpha
inv_MBeta_MAlpha
if
inv_MBeta_MAlpha
<
0.03
mNa
otherwise
HAlpha
=
0.135
ⅇ
-80.0
6.8
ⅇ
-1.0
6.8
V
if
V
<
-40.0
0.0
otherwise
HBeta
=
3.56
ⅇ
0.079
V
+
310000.0
ⅇ
0.35
V
if
V
<
-40.0
1.0
0.13
+
0.13
ⅇ
-
10.66
11.1
ⅇ
V
-1.0
11.1
otherwise
JAlpha
=
-127140.0
ⅇ
0.2444
V
-
3.474e-5
ⅇ
-0.04391
V
V
+
37.78
1.0
+
ⅇ
0.311
V
+
79.23
if
V
<
-40.0
0.0
otherwise
JBeta
=
0.1212
ⅇ
-0.01052
V
1.0
+
ⅇ
-0.1378
V
+
40.14
if
V
<
-40.0
0.3
ⅇ
-2.535e-7
V
1.0
+
ⅇ
-0.1
V
-
3.2
otherwise
d
d
time
mNa
=
MAlpha
1.0
-
tmNa
-
MBeta
tmNa
d
d
time
hNa
=
HAlpha
1.0
-
hNa
-
HBeta
hNa
d
d
time
jNa
=
JAlpha
1.0
-
jNa
-
JBeta
jNa
d
d
time
xKs
=
7.19e-5
V_30
1.0
-
ⅇ
-0.148
V_30
1.0
-
xKs
-
1.31e-4
V_30
ⅇ
0.0687
V_30
-
1.0
xKs
fb
=
Cai
inv_Kfb
Nfb
rb
=
CaNSR
inv_Krb
Nrb
Jup
=
KSR
vmaxf
fb
-
vmaxr
rb
1.0
+
fb
+
rb
inv_ATPi
KmATP_SR
+
ADP
KmATP_SR_Ki_SR
+
1.0
+
ADP
inv_Ki_prime_SR
Jrel
=
v1
O1_RyR
+
O2_RyR
CaJSR
-
CaSS
Jtr
=
CaNSR
-
CaJSR
inv_tautr
Jxfer
=
CaSS
-
Cai
inv_tauxfer
P1_N1_P2_P3
=
P1
+
N1
+
P2
+
P3
FN_Ca
=
alpha_SL_fnormmax2
P1_N1_P2_P3
force_norm
=
alpha_SL_fnormmax
P1_N1_P2_P3
+
P2
+
P3
+
P3
force
=
zeta_alpha_SL_fnormmax
P1_N1_P2_P3
+
P2
+
P3
+
P3
kTrop_np
=
kTrop_pn
LTRPNCa
inv_LTRPNtot_Ktrop_half
Ntrop
d
d
time
P0
=
P0_differential
P0_differential
=
kTrop_pn_f_01
P0
+
kTrop_np
N0
+
g_01_mod
P1
d
d
time
P1
=
P1_differential
P1_differential
=
kTrop_pn_f_12_g_01_mod
P1
+
kTrop_np
N1
+
f_01
P0
+
g_12_mod
P2
d
d
time
P2
=
P2_differential
P2_differential
=
f_23_g_12_mod
P2
+
f_12
P1
+
g_23_mod
P3
d
d
time
P3
=
P3_differential
P3_differential
=
-
g_23_mod
P3
+
f_23
P2
d
d
time
N1
=
N1_differential
N1_differential
=
kTrop_pn
P1
-
kTrop_np
+
g_01_off_mod
N1
d
d
time
N0
=
-
P0_differential
-
P1_differential
+
P2_differential
+
P3_differential
+
N1_differential
d
d
time
LTRPNCa
=
LTRPNCa_differential
LTRPNCa_differential
=
kltrpn_plus
Cai
LTRPNtot
-
LTRPNCa
-
kltrpn_minus
LTRPNCa
1.0
-
2.0
3.0
FN_Ca
d
d
time
HTRPNCa
=
HTRPNCa_differential
HTRPNCa_differential
=
khtrpn_plus
Cai
HTRPNtot
-
HTRPNCa
-
khtrpn_minus
HTRPNCa
Jtrpn
=
LTRPNCa_differential
+
HTRPNCa_differential
beta_SS
=
1.0
1.0
+
CMDNtot_KmCMDN
CaSS
+
KmCMDN
CaSS
+
KmCMDN
beta_JSR
=
1.0
1.0
+
CSQNtot_KmCSQN
CaJSR
+
KmCSQN
CaJSR
+
KmCSQN
beta_i
=
1.0
1.0
+
CMDNtot_KmCMDN
Cai
+
KmCMDN
Cai
+
KmCMDN
Cai_ktrans_plus1
=
1.0
+
Cai
inv_ktrans
Cai_ktrans_plus1_p3
=
Cai_ktrans_plus1
Cai_ktrans_plus1
Cai_ktrans_plus1
Vuni
=
Vmuni_ktrans
Cai
FRT2_Dpsi
Cai_ktrans_plus1_p3
Cai_ktrans_plus1_p3
Cai_ktrans_plus1
+
L
1.0
+
Cai
inv_kact
na
1.0
-
ⅇ
-
FRT2_Dpsi
VnaCa
=
VmNC
ⅇ
b_05
FRT2_Dpsi
Cam
Cai
1.0
+
Kna
Nai
n
1.0
+
Knca
Cam
d
d
time
Nai
=
-
INa
+
INab
+
InsNa
+
3.0
INaCa
+
INaK
Acap_Vmyo_F
-
VnaCa
0.615
d
d
time
Ki
=
-
InsK
+
IKs
+
IK1
+
IKp
+
ICaK
+
Istim
-
2.0
INaK
Acap_Vmyo_F
d
d
time
Cai
=
beta_i
Jxfer
-
Jup
+
Jtrpn
+
0.25
Acap_Vmyo_F
ICab
-
2.0
INaCa
+
IpCa
+
VnaCa
-
Vuni
0.615
d
d
time
CaSS
=
beta_SS
Jrel
VJSR_VSS
-
Jxfer
Vmyo_VSS
+
ICa
Acap_VSS_F
d
d
time
CaJSR
=
beta_JSR
Jtr
-
Jrel
d
d
time
CaNSR
=
Jup
Vmyo_VNSR
-
Jtr
VJSR_VNSR
d
d
time
V
=
-
inv_C_m
INa
+
ICa
+
ICaK
+
IKs
+
IK1
+
IKp
+
INaCa
+
INaK
+
InsCa
+
IpCa
+
ICab
+
INab
+
Istim
d
d
time
C1_RyR
=
-
kaplus
CaSS
ncoop
C1_RyR
+
kaminus
O1_RyR
d
d
time
O2_RyR
=
kbplus
CaSS
mcoop
O1_RyR
-
kbminus
O2_RyR
d
d
time
C2_RyR
=
kcplus
O1_RyR
-
kcminus
C2_RyR
alpha
=
0.4
ⅇ
V
+
2.0
0.1
beta
=
0.05
ⅇ
V
+
2.0
-1.0
13.0
alpha_prime
=
aL
alpha
beta_prime
=
beta
inv_bL
C0_to_C1
=
4.0
alpha
C1_to_C2
=
3.0
alpha
C2_to_C3
=
2.0
alpha
C3_to_C4
=
alpha
CCa0_to_CCa1
=
4.0
alpha_prime
CCa1_to_CCa2
=
3.0
alpha_prime
CCa2_to_CCa3
=
2.0
alpha_prime
CCa3_to_CCa4
=
alpha_prime
C1_to_C0
=
beta
C2_to_C1
=
2.0
beta
C3_to_C2
=
3.0
beta
C4_to_C3
=
4.0
beta
CCa1_to_CCa0
=
beta_prime
CCa2_to_CCa1
=
2.0
beta_prime
CCa3_to_CCa2
=
3.0
beta_prime
CCa4_to_CCa3
=
4.0
beta_prime
gamma
=
0.1875
CaSS
C0_to_CCa0
=
gamma
C1_to_CCa1
=
aL
C0_to_CCa0
C2_to_CCa2
=
aL
C1_to_CCa1
C3_to_CCa3
=
aL
C2_to_CCa2
C4_to_CCa4
=
aL
C3_to_CCa3
CCa0_to_C0
=
omega
CCa1_to_C1
=
CCa0_to_C0
inv_bL
CCa2_to_C2
=
CCa1_to_C1
inv_bL
CCa3_to_C3
=
CCa2_to_C2
inv_bL
CCa4_to_C4
=
CCa3_to_C3
inv_bL
d
d
time
C0
=
C1_to_C0
C1
+
CCa0_to_C0
CCa0
-
C0_to_C1
+
C0_to_CCa0
C0
d
d
time
C1
=
C0_to_C1
C0
+
C2_to_C1
C2
+
CCa1_to_C1
CCa1
-
C1_to_C0
+
C1_to_C2
+
C1_to_CCa1
C1
d
d
time
C2
=
C1_to_C2
C1
+
C3_to_C2
C3
+
CCa2_to_C2
CCa2
-
C2_to_C1
+
C2_to_C3
+
C2_to_CCa2
C2
d
d
time
C3
=
C2_to_C3
C2
+
C4_to_C3
C4
+
CCa3_to_C3
CCa3
-
C3_to_C2
+
C3_to_C4
+
C3_to_CCa3
C3
d
d
time
C4
=
C3_to_C4
C3
+
gL
Open
+
CCa4_to_C4
CCa4
-
C4_to_C3
+
fL
+
C4_to_CCa4
C4
d
d
time
Open
=
fL
C4
-
gL
Open
d
d
time
CCa0
=
CCa1_to_CCa0
CCa1
+
C0_to_CCa0
C0
-
CCa0_to_CCa1
+
CCa0_to_C0
CCa0
d
d
time
CCa1
=
CCa0_to_CCa1
CCa0
+
CCa2_to_CCa1
CCa2
+
C1_to_CCa1
C1
-
CCa1_to_CCa0
+
CCa1_to_CCa2
+
CCa1_to_C1
CCa1
d
d
time
CCa2
=
CCa1_to_CCa2
CCa1
+
CCa3_to_CCa2
CCa3
+
C2_to_CCa2
C2
-
CCa2_to_CCa1
+
CCa2_to_CCa3
+
CCa2_to_C2
CCa2
d
d
time
CCa3
=
CCa2_to_CCa3
CCa2
+
CCa4_to_CCa3
CCa4
+
C3_to_CCa3
C3
-
CCa3_to_CCa2
+
CCa3_to_CCa4
+
CCa3_to_C3
CCa3
d
d
time
CCa4
=
CCa3_to_CCa4
CCa3
+
gprime
OCa
+
C4_to_CCa4
C4
-
CCa4_to_CCa3
+
fprime
+
CCa4_to_C4
CCa4
d
d
time
yCa
=
1.0
1.0
+
ⅇ
V
+
55.0
1.0
7.5
+
0.5
1.0
+
ⅇ
21.0
-
V
1.0
6.0
-
yCa
20.0
+
600.0
1.0
+
ⅇ
V
+
30.0
1.0
9.5
d
d
time
OCa
=
fprime
CCa4
-
gprime
OCa
Vt_CRP2
=
kt_2
CrPi_mito
-
CrPi_cyto
VCK_cyto
=
kf_2
CRT_cyto
-
CrPi_cyto
ATPi_cyto
-
CrPi_cyto
8.0
-
ATPi_cyto
inv_keq
VCK_mito
=
kf_3
CRT_mito
-
CrPi_mito
ATPi
-
CrPi_mito
ADP
inv_keq
d
d
time
CrPi_mito
=
VCK_mito
-
Vt_CRP2
d
d
time
CrPi_cyto
=
Vt_CRP2
+
VCK_cyto
d
d
time
ATPi
=
1.0
-
clamp_ATPi
0.615
VANT
-
V_AM
+
0.5
Jup
+
6.371e-5
INaK
+
IpCa
+
VCK_mito
d
d
time
ATPi_cyto
=
1.0
-
clamp_ATPi_cyto
-
VCK_cyto
-
VATPase_cyto
d
d
time
Cam
=
fm
Vuni
-
VnaCa
d
d
time
ADPm
=
VANT
-
VATPase
+
VSL
d
d
time
Dpsi
=
-
-
VHNe
-
VHFe
+
Vhu
+
VANT
+
Vhleak
+
two_b
VnaCa
+
2.0
Vuni
inv_Cmito
d
d
time
NADH
=
-
VNO
+
VIDH
+
VKGDH
+
VMDH
d
d
time
ISOC
=
VACO
-
VIDH
d
d
time
AKG
=
VIDH
+
VAAT
-
VKGDH
d
d
time
SCoA
=
VKGDH
-
VSL
d
d
time
Succ
=
VSL
-
VSDH
d
d
time
FUM
=
VSDH
-
VFH
d
d
time
MAL
=
VFH
-
VMDH
d
d
time
Oaa
=
VMDH
-
VCS
+
VAAT
d
d
time
ASP
=
VAAT
-
kcnsASP
ASP
Component: ENa
reversal_potential
=
R
T
z
F
ln
extracellular_concentration
intracellular_concentration
Component: EK
reversal_potential
=
R
T
z
F
ln
extracellular_concentration
intracellular_concentration
Component: ECa
reversal_potential
=
R
T
z
F
ln
extracellular_concentration
intracellular_concentration
Component: EKs
reversal_potential
=
R
T
z
F
ln
multiplier_1
extracellular_concentration_1
+
multiplier_2
extracellular_concentration_2
multiplier_1
intracellular_concentration_1
+
multiplier_2
intracellular_concentration_2
Source
Derived from workspace
Cortassa et al (2006) ECME model
at changeset
c4bd63604cd1
.
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Cortassa et al. (2006) ECME model