## Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia

Model Identifier
BIOMD0000000879
Short description
THis is a simple ordinary differential equation model describing chemoimmunotherapy of chronic lymphocytic leukemia, including descriptions of the combinatorial effects of chemotherapy and adoptive cellular immunotherapy.
Format
SBML (L2V4)
Related Publication
• A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia
• Rodrigues, D.S., Mancera, P.F.A., Carvalho, T., Gonçalves, L.F.
• Applied Mathematics and Computation , 5/ 2019 , Volume 349 , pages: 118-133 , DOI: 10.1016/j.amc.2018.12.008
• UNIFAL-MG, Instituto de Ciências Exatas, Alfenas, MG, Brazil
• Immunotherapy is currently regarded as the most promising treatment to fight against cancer. This is particularly true in the treatment of chronic lymphocytic leukemia, an indolent neoplastic disease of B-lymphocytes which eventually causes the immune system's failure. In this and other areas of cancer research, mathematical modeling is pointed out as a prominent tool to analyze theoretical and practical issues. Its lack in studies of chemoimmunotherapy of chronic lymphocytic leukemia is what motivated us to come up with a simple ordinary differential equation model. It is based on ideas of de Pillis and Radunskaya and on standard pharmacokinetics-pharmacodynamics assumptions. In order to check the positivity of the state variables, we first establish an invariant region where these time-dependent variables remain positive. Afterwards, the action of the immune system, as well as the chemoimmunotherapeutic role in promoting cancer cure are investigated by means of numerical simulations and the classical linear stability analysis. The role of adoptive cellular immunotherapy is also addressed. Our overall conclusion is that chemoimmunotherapeutic protocols can be effective in treating chronic lymphocytic leukemia provided that chemotherapy is not a limiting factor to the immunotherapy efficacy.
Contributors
Johannes Meyer

hasTaxon
Taxonomy Homo sapiens
hasProperty
Mathematical Modelling Ontology Ordinary differential equation model
NCIt Chemotherapy
NCIt Immunotherapy

Curation status
Curated

Modelling approach(es)

Tags
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### Model files

Rodrigues2019.xml SBML L2V4 Representation of Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia 55.32 KB Preview | Download

Rodrigues2019.cps COPASI file of Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia 83.75 KB Preview | Download
Rodrigues2019.sedml SED-ML file of Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia 2.18 KB Preview | Download
• Model originally submitted by : Johannes Meyer
• Submitted: Nov 28, 2019 1:37:58 PM
##### Revisions
• Version: 2
• Submitted on: Nov 28, 2019 1:37:58 PM
• Submitted by: Johannes Meyer
• With comment: Automatically added model identifier BIOMD0000000879
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Curator's comment:
(added: 28 Nov 2019, 13:37:52, updated: 28 Nov 2019, 13:37:52)
Reproduced plot of Figure 6 in the original publication. Model simulated and plot produced using COPASI 4.24 (Build 197).