## Banerjee2008 - Immunotherapy with interleukin-2: A study based on mathematical modeling

Model Identifier
MODEL2001130001
Short description
IMMUNOTHERAPY WITH INTERLEUKIN-2: A STUDY BASED ON
MATHEMATICAL MODELING
S ANDIP B ANERJEE
Indian Institute of Technology and Science Rooorkee (IITR)
Roorkee 247667, Uttarakhand, India
e-mail: sandofma@iitr.ernet.in

The role of interleukin-2 (IL-2) in tumor dynamics is illustrated through mathematical modeling, using delay differential
equations with a discrete time delay (a modified version of the Kirshner-Panetta model). Theoretical analysis gives an
expression for the discrete time delay and the length of the time delay to preserve stability. Numerical analysis shows that
interleukin-2 alone can cause the tumor cell population to regress.

Keywords: effector cells, tumor cells, interleukin-2, discrete time delay.
Format
SBML (L2V4)
Related Publication
• Immunotherapy with Interleukin-2: A Study Based on Mathematical Modeling
• SANDIP B ANERJEE
• International Journal of Applied Mathematics and Computer Science , 9/ 2008 , Volume 18 , Issue 3 , pages: 389-398 , DOI: 10.2478/v10006-008-0035-6
• Indian Institute of Technology and Science Rooorkee (IITR) Roorkee 247667, Uttarakhand, India
• The role of interleukin-2 (IL-2) in tumor dynamics is illustrated through mathematical modeling, using delay differentialequations with a discrete time delay (a modified version of the Kirshner-Panetta model). Theoretical analysis gives anexpression for the discrete time delay and the length of the time delay to preserve stability. Numerical analysis shows thatinterleukin-2 alone can cause the tumor cell population to regress. Int. J. Appl. Math. Comput. Sci., 2008, Vol. 18, No. 3, 389–398
Contributors
Mohammad Umer Sharif Shohan

hasTaxon
Taxonomy Homo sapiens
isDerivedFrom
Taxonomy Homo sapiens
Mathematical Modelling Ontology MAMO_0000047
BioModels Database BIOMD0000000732
isDescribedBy
v10006-008-0035-6
BioModels Database BIOMD0000000732
hasProperty
Mathematical Modelling Ontology MAMO_0000089

Curation status
Non-curated

Modelling approach(es)

Tags
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### Model files

Banerjee2008.xml SBML L2V4 Banerjee2008 - Immunotherapy with interleukin-2: A study based on mathematical modeling 25.81 KB Preview | Download

Banerjee2008.cps COPASI version 4.24 (Build 197) Banerjee2008 - Immunotherapy with interleukin-2: A study based on mathematical modeling 62.12 KB Preview | Download
• Model originally submitted by : Mohammad Umer Sharif Shohan
• Submitted: 13-Jan-2020 14:11:55