MODEL0848444339
type: SBMLModel
parameter: 026913
parameter: 026839
rule: 026804
parameter: 026823
parameter: 026875
curated: false
parameter: 027056
compartment: 026694
parameter: 026963
parameter: 026859
units def: 521411
units def: 521375
units def: 521327
rule: 026774
parameter: 026889
rule: 026706
parameter: 026983
parameter: 026977
parameter: 026937
parameter: 026901
parameter: 026991
parameter: 026951
rule: 026770
parameter: 027001
parameter: 026997
parameter: 026935
rule: 026702
parameter: 027010
rule: 026748
units def: 521036
parameter: 027016
units def: 521060
parameter: 027030
rule: 026697
rule: 026816
units def: 521157
parameter: 026863
name: Hilgemann1987_CalciumTransients
parameter: 026909
units def: 521435
parameter: 027044
parameter: 026847
units def: 521302
parameter: 026959
parameter: 026923
rule: 026718
notes: This a model from the article: Excitation-contraction coupling and extracellular calcium transients in rabbit atrium: reconstruction of basic cellular mechanisms. Hilgemann DW, Noble D. Proc R Soc Lond B Biol Sci 1987 Mar 23;230(1259):163-205 2884668 , Abstract: Interactions of electrogenic sodium-calcium exchange, calcium channel and sarcoplasmic reticulum in the mammalian heart have been explored by simulation of extracellular calcium transients measured with tetramethylmurexide in rabbit atrium. The approach has been to use the simplest possible formulations of these mechanisms, which together with a minimum number of additional mechanisms allow reconstruction of action potentials, intracellular calcium transients and extracellular calcium transients. A 3:1 sodium-calcium exchange stoichiometry is assumed. Calcium-channel inactivation is assumed to take place by a voltage-dependent mechanism, which is accelerated by a rise in intracellular calcium; intracellular calcium release becomes a major physiological regulator of calcium influx via calcium channels. A calcium release mechanism is assumed, which is both calcium- and voltage-sensitive, and which undergoes prolonged inactivation. 200 microM cytosolic calcium buffer is assumed. For most simulations only instantaneous potassium conductances are simulated so as to study the other mechanisms independently of time- and calcium-dependent outward current. Thus, the model reconstructs extracellular calcium transients and typical action-potential configuration changes during steady-state and non-steady-state stimulation from the mechanisms directly involved in trans-sarcolemmal calcium movements. The model predicts relatively small trans-sarcolemmal calcium movements during regular stimulation (ca. 2 mumol kg-1 fresh mass per excitation); calcium current is fully activated within 2 ms of excitation, inactivation is substantially complete within 30 ms, and sodium-calcium exchange significantly resists repolarization fr…
parameter: 026929
parameter: 026971
parameter: 026943
parameter: 027054
rule: 026746
rule: 026704
units def: 520927
rule: 026714
parameter: 026825
parameter: 026835
parameter: 026820
rule: 026742
parameter: 027004
parameter: 026871
rule: 026700
rule: 026818
substance units: 469466
parameter: 026995
parameter: 026855
parameter: 026979
rule: 026728
parameter: 026903
rule: 026802
parameter: 026911
parameter: 026917
parameter: 027028
parameter: 026819
parameter: 026931
rule: 026724
parameter: 027042
rule: 026758
parameter: 026879

026913
type: Parameter
constant: true
units: 521084
value: 10.0
name: K_m_K1

521084
type: SBMLUnitsDef
unit: 521108
unit: 521096
name: millimolar

521108
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE

521096
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: MOLE

026839
type: Parameter
constant: true
units: second
value: 0.002
name: stim_duration

026823
type: Parameter
constant: true
units: kelvin
value: 310.0
name: T

026875
type: Parameter
constant: true
units: 521060
value: 14.0
name: i_NaK_max

521060
type: SBMLUnitsDef
unit: 521072
name: nanoA

521072
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: AMPERE

027056
type: Parameter
constant: false
units: 521205
value: NaN
name: dCaTropdt

521205
type: SBMLUnitsDef
unit: 521242
unit: 521230
unit: 521217
name: millimolar_per_second

521242
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND

521230
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE

521217
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: MOLE

026694
type: Compartment
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0

026963
type: Parameter
constant: false
units: 521084
value: NaN
name: K_2

026859
type: Parameter
constant: true
units: 520927
value: 1.0E-5
name: delta_m

520927
type: SBMLUnitsDef
unit: 520940
name: millivolt

520940
type: SBMLUnit
exponent: 1.0
scale: -3
multipler: 1.0
kind: VOLT

521411
type: SBMLUnitsDef
unit: 521423
name: micrometre3

521423
type: SBMLUnit
exponent: 3.0
scale: -6
multipler: 1.0
kind: METRE

521375
type: SBMLUnitsDef
unit: 521399
unit: 521387
name: coulomb_per_mole

521399
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: MOLE

521387
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: COULOMB

521327
type: SBMLUnitsDef
unit: 521363
unit: 521351
unit: 521339
name: joule_per_kilomole_kelvin

521363
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: KELVIN

521351
type: SBMLUnit
exponent: -1.0
scale: 3
multipler: 1.0
kind: MOLE

521339
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: JOULE

026889
type: Parameter
constant: false
units: 521060
value: NaN
name: i_b_Ca

026983
type: Parameter
constant: false
units: 520903
value: NaN
name: InactRate

520903
type: SBMLUnitsDef
unit: 520915
name: per_second

520915
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND

026977
type: Parameter
constant: false
units: dimensionless
value: NaN
name: VoltDep

026937
type: Parameter
constant: false
units: 520927
value: NaN
name: E0_d

026901
type: Parameter
constant: true
units: dimensionless
value: 0.5
name: gamma

026991
type: Parameter
constant: false
units: dimensionless
value: 0.0
name: ActFrac

026951
type: Parameter
constant: true
units: second
value: NaN
name: time

027001
type: Parameter
constant: false
units: 521084
value: 6.5
name: Na_i

026997
type: Parameter
constant: true
units: 520903
value: 50.0
name: alpha_tr

026935
type: Parameter
constant: true
units: 520927
value: 1.0E-4
name: delta_d

027010
type: Parameter
constant: true
units: 521084
value: 4.0
name: K_c

521036
type: SBMLUnitsDef
unit: 521048
name: microF

521048
type: SBMLUnit
exponent: 1.0
scale: -6
multipler: 1.0
kind: FARAD

027016
type: Parameter
constant: false
units: 521084
value: 0.3
name: Ca_up

027030
type: Parameter
constant: true
units: 520903
value: 50.0
name: beta_Calmod

521157
type: SBMLUnitsDef
unit: 521193
unit: 521181
unit: 521169
name: nanoA_per_millimolar

521193
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE

521181
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: MOLE

521169
type: SBMLUnit
exponent: 1.0
scale: -9
multipler: 1.0
kind: AMPERE

026863
type: Parameter
constant: false
units: dimensionless
value: 0.015
name: h

026909
type: Parameter
constant: false
units: 520927
value: NaN
name: E_K

521435
type: SBMLUnitsDef
unit: 521459
unit: 521447
name: litre_micrometre3

521459
type: SBMLUnit
exponent: -3.0
scale: -6
multipler: 1.0
kind: METRE

521447
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE

027044
type: Parameter
constant: false
units: 521411
value: NaN
name: V_Cell

026847
type: Parameter
constant: false
units: 520927
value: NaN
name: E_mh

521302
type: SBMLUnitsDef
unit: 521314
name: micrometre

521314
type: SBMLUnit
exponent: 1.0
scale: -6
multipler: 1.0
kind: METRE

026959
type: Parameter
constant: false
units: 521205
value: NaN
name: i_up

026923
type: Parameter
constant: true
units: 521157
value: 5.0
name: P_si

026929
type: Parameter
constant: false
units: 520903
value: NaN
name: beta_d

026971
type: Parameter
constant: true
units: 521205
value: 3.0
name: alpha_up

026943
type: Parameter
constant: false
units: 520903
value: NaN
name: beta_f_Ca

027054
type: Parameter
constant: false
units: 521205
value: NaN
name: dCaCalmoddt

026825
type: Parameter
constant: true
units: 521375
value: 96485.3415
name: F

026835
type: Parameter
constant: true
units: second
value: 10000.0
name: stim_end

026820
type: Parameter
constant: true
units: 521327
value: 8314.472
name: R

027004
type: Parameter
constant: false
units: 521084
value: 2.0
name: Ca_o

026871
type: Parameter
constant: true
units: second
value: NaN
name: time

026995
type: Parameter
constant: false
units: 521205
value: NaN
name: i_trans

026855
type: Parameter
constant: true
units: 520927
value: NaN
name: V

026979
type: Parameter
constant: false
units: dimensionless
value: NaN
name: RegBindSite

026903
type: Parameter
constant: false
units: 521060
value: NaN
name: i_b_K

026911
type: Parameter
constant: true
units: 521012
value: 1.7
name: g_K1

521012
type: SBMLUnitsDef
unit: 521024
name: microS

521024
type: SBMLUnit
exponent: 1.0
scale: -6
multipler: 1.0
kind: SIEMENS

026917
type: Parameter
constant: false
units: 521060
value: NaN
name: i_siCa

027028
type: Parameter
constant: true
units: 521254
value: 100000.0
name: alpha_Calmod

521254
type: SBMLUnitsDef
unit: 521290
unit: 521278
unit: 521266
name: per_millimolar_second

521290
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND

521278
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 1.0
kind: LITRE

521266
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: MOLE

026819
type: Parameter
constant: false
units: 520927
value: -88.0
name: V

026931
type: Parameter
constant: true
units: 520927
value: NaN
name: V

027042
type: Parameter
constant: false
units: 521411
value: NaN
name: Ve

026879
type: Parameter
constant: true
units: 521084
value: 40.0
name: K_mNa

026893
type: Parameter
constant: false
units: 521060
value: NaN
name: i_NaCa

027012
type: Parameter
constant: false
units: 521084
value: 140.0
name: K_i

027048
type: Parameter
constant: true
units: dimensionless
value: 0.1
name: V_rel_ratio

026967
type: Parameter
constant: true
units: dimensionless
value: 0.4
name: K_xcs

026927
type: Parameter
constant: false
units: 520903
value: NaN
name: alpha_d

026899
type: Parameter
constant: true
units: dimensionless
value: 1.0E-4
name: d_NaCa

026941
type: Parameter
constant: false
units: 520903
value: NaN
name: alpha_f_Ca

026987
type: Parameter
constant: true
units: 520903
value: 250.0
name: K_m_rel

026829
type: Parameter
constant: true
units: 521036
value: 0.006
name: C_m

026843
type: Parameter
constant: false
units: 521060
value: NaN
name: i_Na

026955
type: Parameter
constant: true
units: 520927
value: 1.0E-4
name: delta_f

027036
type: Parameter
constant: true
units: 521302
value: 0.08
name: radius

027050
type: Parameter
constant: true
units: dimensionless
value: 0.4
name: V_e_ratio

026853
type: Parameter
constant: false
units: 520903
value: NaN
name: beta_m

027034
type: Parameter
constant: true
units: 520903
value: 200.0
name: beta_Trop

026837
type: Parameter
constant: true
units: second
value: 1.0
name: stim_period

026873
type: Parameter
constant: false
units: 521060
value: NaN
name: i_NaK

026867
type: Parameter
constant: false
units: 520903
value: NaN
name: beta_h

026881
type: Parameter
constant: false
units: 520927
value: NaN
name: E_Na

026961
type: Parameter
constant: false
units: dimensionless
value: NaN
name: K_1

026915
type: Parameter
constant: false
units: 521060
value: NaN
name: i_si

026887
type: Parameter
constant: false
units: 520927
value: NaN
name: E_Ca

027038
type: Parameter
constant: true
units: 521302
value: 0.08
name: length

026975
type: Parameter
constant: false
units: 521205
value: NaN
name: i_rel

026897
type: Parameter
constant: true
units: dimensionless
value: 3.0
name: n_NaCa

026985
type: Parameter
constant: true
units: 520903
value: 0.0
name: K_leak_rate

027024
type: Parameter
constant: true
units: 521084
value: 0.02
name: Calmod

026895
type: Parameter
constant: true
units: 521060
value: 0.01
name: k_NaCa

026841
type: Parameter
constant: true
units: 521060
value: -200.0
name: stim_amplitude

026969
type: Parameter
constant: true
units: 521084
value: 0.5
name: K_srca

027008
type: Parameter
constant: true
units: 520903
value: 5.0E-4
name: K_diff

027022
type: Parameter
constant: false
units: 521084
value: 0.0015
name: Ca_Trop

026999
type: Parameter
constant: true
units: 521084
value: 140.0
name: Na_o

026861
type: Parameter
constant: false
units: 520927
value: NaN
name: E0_m

026907
type: Parameter
constant: false
units: 521060
value: NaN
name: i_K1

027018
type: Parameter
constant: false
units: 521084
value: 0.3
name: Ca_rel

026921
type: Parameter
constant: false
units: 521060
value: NaN
name: i_siNa

026957
type: Parameter
constant: false
units: 520927
value: NaN
name: E0_f

027032
type: Parameter
constant: true
units: 521254
value: 100000.0
name: alpha_Trop

027052
type: Parameter
constant: true
units: dimensionless
value: 0.01
name: V_up_ratio

027046
type: Parameter
constant: false
units: dimensionless
value: NaN
name: V_i_ratio

026849
type: Parameter
constant: false
units: dimensionless
value: 0.076
name: m

026885
type: Parameter
constant: true
units: 521012
value: 0.012
name: g_b_Na

026833
type: Parameter
constant: true
units: second
value: 0.1
name: stim_start

520952
type: SBMLUnitsDef
unit: 520964
name: per_millivolt

520964
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: VOLT

026973
type: Parameter
constant: true
units: 521205
value: 0.23
name: beta_up

026869
type: Parameter
constant: true
units: 520927
value: NaN
name: V

026945
type: Parameter
constant: false
units: dimensionless
value: NaN
name: CaChoff

026883
type: Parameter
constant: false
units: 521060
value: NaN
name: i_b_Na

026993
type: Parameter
constant: false
units: dimensionless
value: 0.0
name: ProdFrac

026827
type: Parameter
constant: false
units: 520927
value: NaN
name: RTONF

027006
type: Parameter
constant: true
units: 521084
value: 2.0
name: Cab

027020
type: Parameter
constant: false
units: 521084
value: 5.0E-4
name: Ca_Calmod

521121
type: SBMLUnitsDef
unit: 521145
unit: 521133
name: millimolar4

521145
type: SBMLUnit
exponent: -4.0
scale: 0
multipler: 1.0
kind: LITRE

521133
type: SBMLUnit
exponent: 4.0
scale: -3
multipler: 1.0
kind: MOLE

026857
type: Parameter
constant: true
units: second
value: NaN
name: time

027026
type: Parameter
constant: true
units: 521084
value: 0.15
name: Trop

026905
type: Parameter
constant: true
units: 521012
value: 0.17
name: g_b_K

027040
type: Parameter
constant: false
units: 521411
value: NaN
name: V_i

026981
type: Parameter
constant: false
units: 520903
value: NaN
name: ActRate

026877
type: Parameter
constant: true
units: 521084
value: 1.0
name: K_mK

026891
type: Parameter
constant: true
units: 521012
value: 0.005
name: g_b_Ca

026965
type: Parameter
constant: true
units: 521084
value: 3.0E-4
name: K_cyca

520976
type: SBMLUnitsDef
unit: 521000
unit: 520988
name: per_millivolt_second

521000
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: SECOND

520988
type: SBMLUnit
exponent: -1.0
scale: -3
multipler: 1.0
kind: VOLT

026925
type: Parameter
constant: false
units: dimensionless
value: 0.0011
name: d

026919
type: Parameter
constant: false
units: 521060
value: NaN
name: i_siK

026933
type: Parameter
constant: true
units: second
value: NaN
name: time

026939
type: Parameter
constant: false
units: dimensionless
value: 0.785
name: f_Ca

027014
type: Parameter
constant: false
units: 521084
value: 1.0E-5
name: Ca_i

026953
type: Parameter
constant: true
units: 521084
value: NaN
name: Ca_i

026831
type: Parameter
constant: false
units: 521060
value: NaN
name: i_Stim

026989
type: Parameter
constant: false
units: dimensionless
value: NaN
name: PrecFrac

026949
type: Parameter
constant: true
units: 520927
value: NaN
name: V

026851
type: Parameter
constant: false
units: 520903
value: NaN
name: alpha_m

026845
type: Parameter
constant: true
units: 521012
value: 50.0
name: g_Na

026947
type: Parameter
constant: false
units: dimensionless
value: NaN
name: CaChon

026865
type: Parameter
constant: false
units: 520903
value: NaN
name: alpha_h