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., GonÃ§alves, L.F.
 Applied Mathematics and Computation , 5/ 2019 , Volume 349 , pages: 118133 , DOI: 10.1016/j.amc.2018.12.008
 UNIFALMG, Instituto de CiÃªncias 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 Blymphocytes 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 pharmacokineticspharmacodynamics assumptions. In order to check the positivity of the state variables, we first establish an invariant region where these timedependent 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
Submitter of this revision: Rahuman Sheriff
Modellers: Rahuman Sheriff, Johannes Meyer
Metadata information
is (2 statements)
hasTaxon (1 statement)
hasProperty (4 statements)
isDescribedBy (1 statement)
isDerivedFrom (1 statement)
hasTaxon (1 statement)
hasProperty (4 statements)
Mathematical Modelling Ontology
Ordinary differential equation model
NCIt Immunotherapy
NCIt Chronic Lymphocytic Leukemia
NCIt Chemotherapy
NCIt Immunotherapy
NCIt Chronic Lymphocytic Leukemia
NCIt Chemotherapy
isDescribedBy (1 statement)
isDerivedFrom (1 statement)
Curation status
Curated
Tags
Connected external resources
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  SEDML 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
 Submitted on: Oct 8, 2021 8:01:51 AM
 Submitted by: Rahuman Sheriff
 With comment: Automatically added model identifier BIOMD0000000879

Version: 2
 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 of this model will only be shown to the submitter and their collaborators.
Legends
: Variable used inside SBML models
: 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*(1N/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 = 5.0E11 
Q =>  compartment*lambda*Q  lambda = 4.16 
=> I; N  compartment*rho*N*I/(gamma+N)  rho = 1.0E12; 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)
(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).