BIOMD0000000257
type: SBMLModel
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parameter: 906334
is: MODEL1008090000
parameter: 906351
parameter: 906340
parameter: 906355
parameter: 906349
time units: 506005
reaction: 906305
reaction: 906300
substance units: 505980
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species: 906289
units def: 505980
species: 906297
species: 906288
name: Piedrafita2010_MR_System
volume units: 506029
reaction: 906303
notes: This is the self maintaining metabolism model described in the article: A Simple Self-Maintaining Metabolic System: Robustness, Autocatalysis, Bistability. Piedrafita G, Montero F, Morán F, Cárdenas ML, Cornish-Bowden A, PLoS Computational Biology 2010, 6(8):e1000872. doi: 10.1371/journal.pcbi.1000872 Abstract: A living organism must not only organize itself from within; it must also maintain its organization in the face of changes in its environment and degradation of its components. We show here that a simple (M,R)-system consisting of three interlocking catalytic cycles, with every catalyst produced by the system itself, can both establish a non-trivial steady state and maintain this despite continuous loss of the catalysts by irreversible degradation. As long as at least one catalyst is present at a sufficient concentration in the initial state, the others can be produced and maintained. The system shows bistability, because if the amount of catalyst in the initial state is insufficient to reach the non-trivial steady state the system collapses to a trivial steady state in which all fluxes are zero. It is also robust, because if one catalyst is catastrophically lost when the system is in steady state it can recreate the same state. There are three elementary flux modes, but none of them is an enzyme-maintaining mode, the entire network being necessary to maintain the two catalysts As this is a theoretical model and no units are given in the article, the standard units (mol, seconds and litre) are used for the parameters. k8 and k11 are set equal to k4. Originally created by libAntimony v1.4 (using libSBML 3.4.1)
reaction: 906310
species: 906283
species: 906281
units def: 506005
units def: 506053
reaction: 906299
parameter: 906346
parameter: 906341
reaction: 906306
reaction: 906301
parameter: 906358
parameter: 906344
parameter: 906356
units def: 506077
length unit: length
species: 906287
occurs in: http://identifiers.org/taxonomy/131567
is version of: GO:0008152
species: 906294
species: 906293
parameter: 906335
parameter: 906330
is described by: http://identifiers.org/pubmed/20700491
reaction: 906304
parameter: 906339
reaction: 906311
rule: 906326
parameter: 906350
creator:
  ORG:
    orgname: EMBL-EBI
  n:
    given: Lukas
    family: Endler
reaction: 906309
parameter: 906354
rule: 906325
curated: true
modified:
  W3 CDTF: Fri Apr 20 23:14:00 BST 2012
created:
  W3 CDTF: Mon Aug 09 17:31:52 BST 2010
parameter: 906345
compartment: 906279
area units: metaid_0000005
parameter: 906336
parameter: 906331
units def: 506029
reaction: 906302
species: 906292
species: 906284

906282
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initial concentration: 1.0
initial amount: NaN
in compartment: 906279

906279
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constant: true
size: 1.0
spatial dimensions: 3.0
name: environment

906334
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units: 506077
value: 10.0

506077
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name: per_time_per_M

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506089
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906351
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506065
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906340
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units: 506053
value: 0.3

906355
type: Parameter
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value: 0.05

906349
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constant: true
units: 506053
value: 0.1

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name: sec

506017
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kind: SECOND

906305
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product: 506404
reactant: 506392
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fast: false
reversible: true

506416
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906283
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906357
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906303
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506295
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906310
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product: 506525
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fast: false
reversible: true

506537
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506525
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506513
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906299
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906346
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906341
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906306
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reversible: false

506440
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906301
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fast: false
reversible: true

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506235
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506223
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906358
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value: NaN

906344
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906356
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value: 0.05

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906330
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constant: true
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value: 10.0

906304
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fast: false
reversible: true

506368
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506356
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506343
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906339
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constant: true
units: 506077
value: 1.0

906311
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reactant: 506561
is: SBO:0000179
fast: false
reversible: false

506561
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stoichiometry: 1.0
species: 906293

906350
type: Parameter
is: SBO:0000039
constant: true
units: 506077
value: 0.1

906309
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kinetic law: 506501
product: 506489
reactant: 506477
reactant: 506464
is: SBO:0000210
fast: false
reversible: true

506489
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species: 906289

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species: 906287

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species: 906282

906354
type: Parameter
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constant: true
units: 506077
value: 0.1

906345
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is: SBO:0000339
constant: true
units: 506077
value: 1.0

906336
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is: SBO:0000035
constant: true
units: 506053
value: 2.0

906331
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units: 506053
value: 10.0

906302
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kinetic law: 506283
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is: SBO:0000179
fast: false
reversible: false

506271
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species: 906284