Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia

  public model
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
Submitter of the first revision: Johannes Meyer
Submitter of this revision: Rahuman Sheriff
Modellers: Rahuman Sheriff, Johannes Meyer

Metadata information

is (2 statements)
BioModels Database BIOMD0000000879
BioModels Database MODEL1911280001

hasTaxon (1 statement)
Taxonomy Homo sapiens

hasProperty (4 statements)
isDescribedBy (1 statement)
isDerivedFrom (1 statement)
Curation status
Curated
Tags
Immuno-oncology

Connected external resources

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Name Description Size Actions

Model files
Rodrigues2019.xml SBML L2V4 Representation of Rodrigues2019 - A mathematical model for chemoimmunotherapy of chronic lymphocytic leukemia 55.47 KB Preview | Download

Additional files
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
  • Last Modified: Oct 8, 2021 8:01:51 AM
Revisions
  • Version: 4 public model Download this version
    • Submitted on: Oct 8, 2021 8:01:51 AM
    • Submitted by: Rahuman Sheriff
    • With comment: Automatically added model identifier BIOMD0000000879
  • Version: 2 public model Download this version
    • Submitted on: Nov 28, 2019 1:37:58 PM
    • Submitted by: Johannes Meyer
    • With comment: Automatically added model identifier BIOMD0000000879

(*) 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
I

Lymphocyte 		5.0E7 item
N

C25553 		2.0E10 item
Q

CHEBI:4027 		0.0 item
Reactions
Reactions Rate Parameters
=> I compartment*Immunotherapy_Input Immunotherapy_Input = 0.0
=> N compartment*r*N*(1-N/k) k = 1.0E12; r = 0.01
=> Q compartment*Chemotherapy_Input Chemotherapy_Input = 8640.0
N => ; Q compartment*mu*N*Q/(a+Q) mu = 8.0; a = 2000.0
I => compartment*d*I d = 0.001
N => ; I compartment*c_1*N*I c_1 = 5.0E-11
Q => compartment*lambda*Q lambda = 4.16
=> I; N compartment*rho*N*I/(gamma+N) rho = 1.0E-12; gamma = 100.0
I => ; Q compartment*delta*I*Q/(b+Q) delta = 10000.0; b = 5000000.0
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).