Abernathy2016 - glioblastoma treatment

  public model
Model Identifier
BIOMD0000000757
Short description
The paper describes a model of glioblastoma. Created by COPASI 4.25 (Build 207) This model is described in the article: Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations Kristen Abernathy and Jeremy Burke BMC Computational and Mathematical Methods in Medicine Volume 2016, Article ID 1239861, 11 pages Abstract: Despite improvements in cancer therapy and treatments, tumor recurrence is a common event in cancer patients. One explanation of recurrence is that cancer therapy focuses on treatment of tumor cells and does not eradicate cancer stem cells (CSCs). CSCs are postulated to behave similar to normal stem cells in that their role is to maintain homeostasis. That is, when the population of tumor cells is reduced or depleted by treatment, CSCs will repopulate the tumor, causing recurrence. In this paper, we study the application of the CSC Hypothesis to the treatment of glioblastoma multiforme by immunotherapy. We extend the work of Kogan et al. (2008) to incorporate the dynamics of CSCs, prove the existence of a recurrence state, and provide an analysis of possible cancerous states and their dependence on treatment levels. To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . 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.
Format
SBML (L3V1)
Related Publication
  • Modeling the Treatment of Glioblastoma Multiforme and Cancer Stem Cells with Ordinary Differential Equations.
  • Abernathy K, Burke J
  • Computational and mathematical methods in medicine , 1/ 2016 , Volume 2016 , pages: 1239861 , PubMed ID: 27022405
  • Department of Mathematics, Winthrop University, Rock Hill, SC 29733, USA.
  • Despite improvements in cancer therapy and treatments, tumor recurrence is a common event in cancer patients. One explanation of recurrence is that cancer therapy focuses on treatment of tumor cells and does not eradicate cancer stem cells (CSCs). CSCs are postulated to behave similar to normal stem cells in that their role is to maintain homeostasis. That is, when the population of tumor cells is reduced or depleted by treatment, CSCs will repopulate the tumor, causing recurrence. In this paper, we study the application of the CSC Hypothesis to the treatment of glioblastoma multiforme by immunotherapy. We extend the work of Kogan et al. (2008) to incorporate the dynamics of CSCs, prove the existence of a recurrence state, and provide an analysis of possible cancerous states and their dependence on treatment levels.
Contributors
Submitter of the first revision: Jinghao Men
Submitter of this revision: Jinghao Men
Modellers: Jinghao Men

Metadata information

is (2 statements)
BioModels Database MODEL1907240001
BioModels Database BIOMD0000000757

isDescribedBy (1 statement)
PubMed 27022405

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (3 statements)
Mathematical Modelling Ontology Ordinary differential equation model
Experimental Factor Ontology glioblastoma multiforme
Gene Ontology immune response to tumor cell


Curation status
Curated



Connected external resources

SBGN view in Newt Editor

Name Description Size Actions

Model files

Abernathy2016.xml SBML L3V1 representation of the glioblastoma model 125.50 KB Preview | Download

Additional files

Abernathy2016.cps CPS file of the model in COPASI 132.47 KB Preview | Download
Abernathy2016.sedml Auto-generated SEDML file 2.79 KB Preview | Download

  • Model originally submitted by : Jinghao Men
  • Submitted: Jul 24, 2019 9:31:20 AM
  • Last Modified: Jul 24, 2019 9:31:20 AM
Revisions
  • Version: 3 public model Download this version
    • Submitted on: Jul 24, 2019 9:31:20 AM
    • Submitted by: Jinghao Men
    • With comment: Automatically added model identifier BIOMD0000000757
Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
TGFb

Transforming growth factor beta-1
50.0 mmol
CancerStemCell

cancer stem cell
30.0 mmol
Tumor Plot

malignant cell
7.0E-7 mmol
Tumor

malignant cell
70.0 mmol
CSC Plot

cancer stem cell
3.0E-6 mmol
CytotoxicTcell

cytotoxic T cell
250.0 mmol
Reactions
Reactions Rate Parameters
=> TGFb; Tumor tumor_microenvironment*abt*Tumor abt = 5.75E-6 1/h
=> CancerStemCell tumor_microenvironment*r2*CancerStemCell*(1-CancerStemCell/k2) k2 = 1.0E7 1; r2 = 0.1 1/h
=> TGFb; CancerStemCell tumor_microenvironment*abs*CancerStemCell abs = 5.75E-6 1/h
Tumor_Plot = Tumor/100000000 [] []
Tumor => ; MHC1, TGFb, CytotoxicTcell tumor_microenvironment*at*MHC1/(MHC1+etb)*(atb+etb*(1-atb)/(TGFb+etb))*CytotoxicTcell*Tumor/(ht+Tumor) atb = 0.69 1; at = 0.12 1/h; ht = 5.0E8 1; etb = 10000.0 1
CSC_Plot = CancerStemCell/10000000 [] []
CancerStemCell => Tumor tumor_microenvironment*ra*Tumor/k1*CancerStemCell/k2*(k1-Tumor) k1 = 1.0E8 1; k2 = 1.0E7 1; ra = 0.006 1/h
=> CytotoxicTcell tumor_microenvironment*N N = 0.0 1/h
CancerStemCell => ; MHC1, TGFb, CytotoxicTcell tumor_microenvironment*as*MHC1/(MHC1+esb)*(asb+esb*(1-asb)/(TGFb+esb))*CytotoxicTcell*CancerStemCell/(hs+CancerStemCell) hs = 5.0E8 1; asb = 0.69 1; as = 0.012 1/h; esb = 10000.0 1
=> TGFb tumor_microenvironment*gb gb = 63945.0 1/h
Curator's comment:
(added: 24 Jul 2019, 09:30:53, updated: 24 Jul 2019, 09:30:53)
Publication figure 1 reproduced as per literature. Figure data is generated using COPASI 4.25 (build 197).