Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy

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Short description
This model describes the interaction dynamics of a lymphocyte-tumor cell population.
Related Publication
  • Behavior of tumors under nonstationary therapy
  • Sotolongo-Costa, O., Molina, L.M., Reyes, M.C., Perez, D.R., Antoranz, J.C.
  • Physica D: Nonlinear Phenomena , 4/ 2003 , Volume 178 , Issue 3-4 , pages: 242-253 , DOI: 10.1016/S0167-2789(03)00005-8
  • Department of Theoretical Physics, Havana University, 10400 Havana, Cuba
  • We present a model for the interaction dynamics of lymphocytes-tumor cells population. This model reproduces all known states for the tumor. Further, we develop it taking into account periodical immunotherapy treatment with cytokines alone. A detailed analysis for the evolution of tumor cells as a function of frequency and therapy burden applied for the periodical treatment is carried out. Certain threshold values for the frequency and applied doses are derived from this analysis. So it seems possible to control and reduce the growth of the tumor. Also, constant values for cytokines doses seems to be a successful treatment.
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Johannes Meyer
Modellers: Johannes Meyer

Metadata information

is (2 statements)
BioModels Database MODEL1908090002
BioModels Database BIOMD0000000785

hasProperty (2 statements)
isDescribedBy (1 statement)

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Sotolongo-Costa2003.xml SBML L2V4 Representation of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy 25.07 KB Preview | Download

Additional files

Sotolongo-Costa2003.cps COPASI file of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy 54.26 KB Preview | Download
Sotolongo-Costa2003.sedml SED-ML file of Sotolongo-Costa2003 - Behavior of tumors under nonstationary therapy 1.82 KB Preview | Download

  • Model originally submitted by : Johannes Meyer
  • Submitted: Aug 9, 2019 4:04:14 PM
  • Last Modified: Aug 9, 2019 4:04:14 PM
  • Version: 2 public model Download this version
    • Submitted on: Aug 9, 2019 4:04:14 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000785
: Variable used inside SBML models

Species Initial Concentration/Amount
y Lymphocytes

6.7 mmol
x Malignant Cells

neoplastic cell
5.3 mmol
Reactions Rate Parameters
y_Lymphocytes => ; x_Malignant_Cells compartment*k*x_Malignant_Cells k = 0.2
x_Malignant_Cells => y_Lymphocytes compartment*x_Malignant_Cells*y_Lymphocytes []
y_Lymphocytes => compartment*y_Lymphocytes/alpha alpha = 2.0
=> x_Malignant_Cells compartment*alpha*x_Malignant_Cells alpha = 2.0
=> y_Lymphocytes compartment*sigma sigma = 0.25
Curator's comment:
(added: 09 Aug 2019, 16:03:48, updated: 09 Aug 2019, 16:03:48)
Reproduced plot of Figure 3B in the original publication. Equations 12 and 13 were used. Parameters and initial conditions are as indicated in the caption for Figure 3B. Model simulated and plot produced using COPASI 4.24 (Build 197).