
Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments
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Das, P; Mukherjee, S
Published in: Studies in Computational Intelligence
January 1, 2020
In this paper, we modify and study a deterministic mathematical model governing interactions between tumor cell (TCs), effector-cells (ECs) and interleukin-2 with treatments. We investigate local stability at equilibria. The system exhibits transcritical bifurcation at tumor free equilibrium which is proved analytically by using Sotomayer’s theorem and illustrated numerically. Our study demonstrates that tumor is being eradicated after administration of external treatments. We execute extensive computer simulations and analyze with biological relevance.
Duke Scholars
Published In
Studies in Computational Intelligence
DOI
EISSN
1860-9503
ISSN
1860-949X
ISBN
9783030341510
Publication Date
January 1, 2020
Volume
863 SCI
Start / End Page
598 / 609
Related Subject Headings
- Artificial Intelligence & Image Processing
Citation
APA
Chicago
ICMJE
MLA
NLM
Das, P., & Mukherjee, S. (2020). Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments. In Studies in Computational Intelligence (Vol. 863 SCI, pp. 598–609). https://doi.org/10.1007/978-3-030-34152-7_46
Das, P., and S. Mukherjee. “Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments.” In Studies in Computational Intelligence, 863 SCI:598–609, 2020. https://doi.org/10.1007/978-3-030-34152-7_46.
Das P, Mukherjee S. Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments. In: Studies in Computational Intelligence. 2020. p. 598–609.
Das, P., and S. Mukherjee. “Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments.” Studies in Computational Intelligence, vol. 863 SCI, 2020, pp. 598–609. Scopus, doi:10.1007/978-3-030-34152-7_46.
Das P, Mukherjee S. Dynamics of effector -tumor- interleukin-2 interactions with monod-haldane immune response and treatments. Studies in Computational Intelligence. 2020. p. 598–609.

Published In
Studies in Computational Intelligence
DOI
EISSN
1860-9503
ISSN
1860-949X
ISBN
9783030341510
Publication Date
January 1, 2020
Volume
863 SCI
Start / End Page
598 / 609
Related Subject Headings
- Artificial Intelligence & Image Processing