Lopez2014 - A Validated Mathematical Model of Tumor Growth Including Tumor-Host Interaction and Cell-Mediated Immune Response

  public model
Model Identifier
BIOMD0000000784
Short description 
This is a dynamical model of cancer growth that includes three interacting cell populations of tumor cells, healthy host cells and immune effector cells. The tumor-immune and the tumor-host interactions are characterized to reproduce experimental results.
Format
SBML (L2V4)
Related Publication
  • A validated mathematical model of tumor growth including tumor-host interaction, cell-mediated immune response and chemotherapy.
  • López AG, Seoane JM, Sanjuán MA
  • Bulletin of mathematical biology , 11/ 2014 , Volume 76 , Issue 11 , pages: 2884-2906 , PubMed ID: 25348062
  • Nonlinear Dynamics, Chaos and Complex Systems Group, Departamento de Física, Universidad Rey Juan Carlos, Tulipán s/n, 28933, Móstoles, Madrid, Spain.
  • We consider a dynamical model of cancer growth including three interacting cell populations of tumor cells, healthy host cells and immune effector cells. The tumor-immune and the tumor-host interactions are characterized to reproduce experimental results. A thorough dynamical analysis of the model is carried out, showing its capability to explain theoretical and empirical knowledge about tumor development. A chemotherapy treatment reproducing different experiments is also introduced. We believe that this simple model can serve as a foundation for the development of more complicated and specific cancer models.
Contributors
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Tung Nguyen
Modellers: Tung Nguyen, Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000784
BioModels Database MODEL1908090001

isDescribedBy (1 statement)
PubMed 25348062

isDerivedFrom (1 statement)
PubMed 16140967

hasTaxon (1 statement)
Taxonomy Mus musculus

hasProperty (2 statements)
Curation status
Curated
Tags
Immuno-oncology

Connected external resources

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Name Description Size Actions

Model files
Lopez2014.xml SBML L2V4 Representation of Lopez2014 - A Validated Mathematical Model of Tumor Growth Including Tumor-Host Interaction and Cell-Mediated Immune Response 40.66 KB Preview | Download

Additional files
Lopez2014.cps COPASI file of Lopez2014 - A Validated Mathematical Model of Tumor Growth Including Tumor-Host Interaction and Cell-Mediated Immune Response 68.56 KB Preview | Download
Lopez2014.sedml SED-ML file of Lopez2014 - A Validated Mathematical Model of Tumor Growth Including Tumor-Host Interaction and Cell-Mediated Immune Response 2.99 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Aug 9, 2019 11:47:32 AM
  • Last Modified: Oct 1, 2021 11:56:09 AM
Revisions
  • Version: 7 public model Download this version
    • Submitted on: Oct 1, 2021 11:56:09 AM
    • Submitted by: Tung Nguyen
    • With comment: Automatically added model identifier BIOMD0000000784
  • Version: 4 public model Download this version
    • Submitted on: Aug 9, 2019 11:47:32 AM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000784

(*) You might be seeing discontinuous revisions as only public revisions are displayed here. Any private revisions unpublished model revision of this model will only be shown to the submitter and their collaborators.

Legends
: Variable used inside SBML models


Species
Species Initial Concentration/Amount
z Effector Cells

effector T cell 		0.2 item
x Tumor Cells

neoplastic cell 		0.1 item
y Healthy Cells

cell 		0.9 item
Reactions
Reactions Rate Parameters
=> z_Effector_Cells; x_Tumor_Cells compartment*g*D_x_z^2*x_Tumor_Cells^2/(h+D_x_z^2*x_Tumor_Cells^2) g = 0.29; h = 7.95E-11; D_x_z = 0.456947412742685
x_Tumor_Cells => ; y_Healthy_Cells compartment*a_12*y_Healthy_Cells*x_Tumor_Cells a_12 = 0.195
=> x_Tumor_Cells compartment*x_Tumor_Cells*(1-x_Tumor_Cells) []
z_Effector_Cells => compartment*d_3*z_Effector_Cells d_3 = 0.112
x_Tumor_Cells => compartment*D_x_z*x_Tumor_Cells D_x_z = 0.456947412742685
y_Healthy_Cells => ; x_Tumor_Cells compartment*a_21*x_Tumor_Cells*y_Healthy_Cells a_21 = 0.954
=> z_Effector_Cells compartment*v v=1.0
z_Effector_Cells => ; x_Tumor_Cells compartment*a_31*x_Tumor_Cells*z_Effector_Cells a_31 = 5.25
=> y_Healthy_Cells compartment*r_2*y_Healthy_Cells*(1-y_Healthy_Cells) r_2 = 0.35
Curator's comment:
(added: 09 Aug 2019, 11:46:41, updated: 09 Aug 2019, 11:46:41)
Reproduced plot of Figure 5D of the original publication. Initial conditions were as follows: x(0) = 0.1 y(0) = 0.9 z(0) = 0.2 Model simulated and plot produced using COPASI 4.24 (Build 197)