MODEL1201140004
type: SBMLModel
parameter: 205325
parameter: 205313
parameter: 205241
parameter: 204721
parameter: 204818
parameter: 205096
parameter: 205217
parameter: 205265
parameter: 204951
area units: 802883
parameter: 204745
rule: 205687
rule: 205860
parameter: 204975
parameter: 205579
rule: 205700
parameter: 205543
parameter: 205362
parameter: 205132
rule: 205738
parameter: 204927
parameter: 204939
rule: 205627
time units: 152087
rule: 205848
rule: 205799
parameter: 204903
parameter: 205398
parameter: 205193
parameter: 205338
parameter: 205386
parameter: 205108
length unit: 802859
parameter: 204842
parameter: 205446
parameter: 204782
parameter: 204770
parameter: 205482
is described by: http://identifiers.org/pubmed/9277370
rule: 205651
parameter: 205410
substance units: 163161
parameter: 204806
parameter: 204866
rule: 205763
rule: 205675
parameter: 205434
parameter: 205060
parameter: 205205
parameter: 205253
parameter: 205047
parameter: 205023
parameter: 204733
parameter: 205301
rule: 205811
rule: 205713
parameter: 205289
parameter: 205084
parameter: 205229
rule: 205836
rule: 205775
notes: This a model from the article: Minimal model of beta-cell mitochondrial Ca2+ handling. Magnus G, Keizer J. Am J Physiol. 1997 Aug;273(2 Pt 1):C717-33. 9277370 , Abstract: We develop a simplified, but useful, mathematical model to describe Ca2+ handling by mitochondria in the pancreatic beta-cell. The model includes the following six transport mechanisms in the inner mitochondrial membrane: proton pumping via respiration and proton uptake by way of the F1Fzero-ATPase (adapted from D. Pietrobon and S. Caplan. Biochemistry 24: 5764-5778, 1985), a proton leak, adenine nucleotide exchange, the Ca2+ uniporter, and Na+/Ca2+ exchange. Each mechanism is developed separately into a kinetic model for the rate of transport, with parameters taken from experiments on isolated mitochondrial preparations. These mechanisms are combined in a modular fashion first to describe state 4 (nonphosphorylating) and state 3 (phosphorylating) mitochondria with mitochondrial NADH and Ca2+ concentrations as fixed parameters and then to describe Ca2+ handling with variable mitochondrial Ca2+ concentration. Simulations are compared to experimental measurements and agree well with the threshold for Ca2+ uptake, measured mitochondrial Ca2+ levels, and the influence of Ca2+ on oxygen uptake. In the absence of Ca2+ activation of mitochondrial dehydrogenases, the simulations predict a significant reduction in the rate of production of ATP that involves a "short circuit" via Ca2+ uptake through the uniporter. This effect suggests a potential role for mitochondrial Ca2+ handling in determining the ATP-ADP ratio in the pancreatic beta-cell. This model was taken from the CellML repository and automatically converted to SBML. The original model was: Magnus and Keizer (1997) The original CellML model was created by: Catherine Lloyd c.lloyd@aukland.ac.nz The University of Auckland The Bioengineering Institute This model originates from BioModels Database: A Database of Annotated Published Models (http://www.e…
parameter: 205531
volume units: 122997
parameter: 205120
rule: 205725
parameter: 204915
rule: 205823
parameter: 204999
parameter: 204963
parameter: 205567
parameter: 205181
parameter: 205519
parameter: 205555
parameter: 205156
parameter: 205168
parameter: 205144
compartment: 204709
parameter: 205507

205325
type: Parameter
constant: true
value: NaN
name: ADP_i

205313
type: Parameter
constant: true
value: NaN
name: ATP_m

205241
type: Parameter
constant: true
value: 9.651E-14
name: pc1

204721
type: Parameter
constant: true
value: NaN
name: time

204818
type: Parameter
constant: true
value: 0.2
name: g_H

205096
type: Parameter
constant: true
value: 0.7
name: rho_F1

205217
type: Parameter
constant: true
value: 1.656E-5
name: pa

205265
type: Parameter
constant: false
value: NaN
name: J_ant

204951
type: Parameter
constant: true
value: 0.4
name: rho_res

204745
type: Parameter
constant: true
value: 50.0
name: V_B

204975
type: Parameter
constant: true
value: 1.728E-9
name: r2

205579
type: Parameter
constant: true
value: 2.0
name: n

205543
type: Parameter
constant: true
value: 9.4
name: K_Na

205362
type: Parameter
constant: false
value: NaN
name: ADP3_i

205132
type: Parameter
constant: false
value: 12.0
name: total_mitochondrial_adenosine_phosphate

204927
type: Parameter
constant: true
value: NaN
name: NAD_m

204939
type: Parameter
constant: true
value: NaN
name: NADH_m

204903
type: Parameter
constant: true
value: 1.35E17
name: K_res

205398
type: Parameter
constant: false
value: NaN
name: J_uni

205193
type: Parameter
constant: true
value: 7.739E-7
name: p2

205338
type: Parameter
constant: false
value: NaN
name: ATP4_i

205386
type: Parameter
constant: true
value: 0.5
name: f

205108
type: Parameter
constant: true
value: 1710000.0
name: K_F1

204842
type: Parameter
constant: true
value: NaN
name: pH_i

205446
type: Parameter
constant: true
value: 19.0
name: K_trans

204782
type: Parameter
constant: true
value: 96845.0
name: F

204770
type: Parameter
constant: true
value: 310.0
name: T

205482
type: Parameter
constant: true
value: 2.8
name: na

205410
type: Parameter
constant: true
value: 91.0
name: V_offset

204806
type: Parameter
constant: false
value: NaN
name: proton_motive_force

204866
type: Parameter
constant: false
value: NaN
name: JH_res

205434
type: Parameter
constant: true
value: NaN
name: Ca_i

205060
type: Parameter
constant: false
value: NaN
name: JH_leak

205205
type: Parameter
constant: true
value: 6.65E-15
name: p3

205253
type: Parameter
constant: true
value: 4.845E-19
name: pc2

205047
type: Parameter
constant: true
value: 0.85
name: g

205023
type: Parameter
constant: true
value: 2.656E-19
name: rc1

204733
type: Parameter
constant: false
value: NaN
name: V

205301
type: Parameter
constant: true
value: NaN
name: ATP_i

205289
type: Parameter
constant: true
value: 1000.0
name: Jmax_ant

205084
type: Parameter
constant: false
value: NaN
name: Jp_F1

205229
type: Parameter
constant: true
value: 3.373E-7
name: pb

205531
type: Parameter
constant: true
value: 30.0
name: Na_i

205120
type: Parameter
constant: false
value: NaN
name: A_F1

204915
type: Parameter
constant: false
value: 8.0
name: total_NAD_m

204999
type: Parameter
constant: true
value: 6.394E-10
name: ra

204963
type: Parameter
constant: true
value: 2.077E-18
name: r1

205567
type: Parameter
constant: true
value: 0.0
name: b

205181
type: Parameter
constant: true
value: 1.346E-8
name: p1

205519
type: Parameter
constant: false
value: NaN
name: Ca_m

205555
type: Parameter
constant: true
value: 0.003
name: K_Ca

205156
type: Parameter
constant: false
value: NaN
name: ADP_m_free

205168
type: Parameter
constant: true
value: 20.0
name: Pi_m

205144
type: Parameter
constant: true
value: NaN
name: ATP_m

204709
type: Compartment
constant: true
size: 1.0
spatial dimensions: 3.0

205507
type: Parameter
constant: true
value: 25.0
name: Jmax_Na_Ca

205350
type: Parameter
constant: false
value: NaN
name: ATP4_m

205591
type: Parameter
constant: true
value: 3.0E-4
name: fm

204879
type: Parameter
constant: false
value: NaN
name: Jo

204987
type: Parameter
constant: true
value: 1.059E-26
name: r3

204891
type: Parameter
constant: false
value: NaN
name: A_res

204758
type: Parameter
constant: true
value: 8314.0
name: R

204794
type: Parameter
constant: false
value: -0.4
name: delta_pH

205374
type: Parameter
constant: false
value: NaN
name: ADP3_m

205494
type: Parameter
constant: false
value: NaN
name: J_Na_Ca

204830
type: Parameter
constant: true
value: 0.00145
name: Cmito

205422
type: Parameter
constant: true
value: 300.0
name: Jmax_uni

205035
type: Parameter
constant: true
value: 8.632E-27
name: rc2

205011
type: Parameter
constant: true
value: 1.762E-13
name: rb

205470
type: Parameter
constant: true
value: 110.0
name: L

205458
type: Parameter
constant: true
value: 0.38
name: K_act

204854
type: Parameter
constant: true
value: NaN
name: pH_m

205277
type: Parameter
constant: false
value: NaN
name: ADP_m

205072
type: Parameter
constant: false
value: NaN
name: JH_F1