MODEL1006230038
type: SBMLModel
parameter: 201658
substance units: 178797
curated: false
length unit: 076409
modified:
  W3 CDTF: Fri Jun 25 13:43:22 BST 2010
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
units def: 388051
area units: 291053
parameter: 201671
volume units: 290956
rule: 201655
parameter: 201664
parameter: 201662
notes: This a model from the article: Modeling immunotherapy of the tumor-immune interaction. Kirschner D, Panetta JC. J Math Biol 1998 Sep;37(3):235-52 9785481 , Abstract: A number of lines of evidence suggest that immunotherapy with the cytokine interleukin-2 (IL-2) may boost the immune system to fight tumors. CD4+ T cells, the cells that orchestrate the immune response, use these cytokines as signaling mechanisms for immune-response stimulation as well as lymphocyte stimulation, growth, and differentiation. Because tumor cells begin as 'self', the immune system may not respond in an effective way to eradicate them. Adoptive cellular immunotherapy can potentially restore or enhance these effects. We illustrate through mathematical modeling the dynamics between tumor cells, immune-effector cells, and IL-2. These efforts are able to explain both short tumor oscillations in tumor sizes as well as long-term tumor relapse. We then explore the effects of adoptive cellular immunotherapy on the model and describe under what circumstances the tumor can be eliminated. This model was taken from the CellML repository and automatically converted to SBML. The original model was: Kirschner D, Panetta JC. (1998) - version=1.0 The original CellML model was created by: Catherine Lloyd c.lloyd@auckland.ac.nz The University of Auckland This model originates from BioModels Database: A Database of Annotated Published Models (http://www.ebi.ac.uk/biomodels/). It is copyright (c) 2005-2011 The BioModels.net Team. To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to CC0 Public Domain Dedication for more information. In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not.. To cite BioModels Database…
parameter: 201676
parameter: 201679
parameter: 201674
is described by: http://identifiers.org/pubmed/9785481
created:
  W3 CDTF: Fri Jun 25 13:43:22 BST 2010
rule: 201652
units def: 388136
parameter: 201667
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
parameter: 201659
parameter: 201670
parameter: 201665
compartment: 201649
time units: 379353
parameter: 201668
creator:
  ORG:
    orgname: University of Auckland
  n:
    given: Catherine
    family: Lloyd
parameter: 201680
parameter: 201677
units def: 388100
units def: 388027
parameter: 201657
rule: 201653
name: Kirschner1998_Immunotherapy_Tumour
modified:
  W3 CDTF: Fri Jun 25 13:43:22 BST 2010
parameter: 201661
units def: 388076
parameter: 201673
modified:
  W3 CDTF: Fri Jun 25 13:43:22 BST 2010

201658
type: Parameter
constant: true
units: dimensionless
value: 0.03
name: mu2

388051
type: SBMLUnitsDef
unit: 388063
name: first_order_rate_constant

388063
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 86400.0
kind: SECOND

201671
type: Parameter
constant: true
units: dimensionless
value: 1.0E-9
name: b

201664
type: Parameter
constant: true
units: dimensionless
value: 0.0
name: s1

201662
type: Parameter
constant: true
units: dimensionless
value: 2.0E-7
name: g1

201676
type: Parameter
constant: true
units: dimensionless
value: 10.0
name: mu3

201679
type: Parameter
constant: true
units: dimensionless
value: 1000.0
name: g3

201674
type: Parameter
constant: false
units: dimensionless
value: NaN
name: z

388136
type: SBMLUnitsDef
unit: 388160
unit: 388148
name: micromolar

388160
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 1.0
kind: LITRE

388148
type: SBMLUnit
exponent: 1.0
scale: -6
multipler: 1.0
kind: MOLE

201667
type: Parameter
constant: false
units: dimensionless
value: 1.0
name: y

201659
type: Parameter
constant: true
units: dimensionless
value: 0.025
name: c

201670
type: Parameter
constant: true
units: dimensionless
value: 1.0
name: a

201665
type: Parameter
constant: false
units: dimensionless
value: NaN
name: x

201649
type: Compartment
constant: true
units: litre
size: 1.0
spatial dimensions: 3.0

201668
type: Parameter
constant: true
units: dimensionless
value: 0.18
name: r2

201680
type: Parameter
constant: true
units: dimensionless
value: 0.0
name: s2

201677
type: Parameter
constant: true
units: dimensionless
value: 5.0
name: p2

388100
type: SBMLUnitsDef
unit: 388124
unit: 388112
name: flux

388124
type: SBMLUnit
exponent: -1.0
scale: 0
multipler: 86400.0
kind: SECOND

388112
type: SBMLUnit
exponent: -1.0
scale: -6
multipler: 1.0
kind: LITRE

388027
type: SBMLUnitsDef
unit: 388039
name: day

388039
type: SBMLUnit
exponent: 1.0
scale: 0
multipler: 86400.0
kind: SECOND

201657
type: Parameter
constant: true
units: dimensionless
value: NaN
name: tau

201661
type: Parameter
constant: true
units: dimensionless
value: 0.1245
name: p1

388076
type: SBMLUnitsDef
unit: 388088
name: cells_per_microlitre

388088
type: SBMLUnit
exponent: -1.0
scale: -6
multipler: 1.0
kind: LITRE

201673
type: Parameter
constant: true
units: dimensionless
value: 100000.0
name: g2