Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 44, Issue -, Pages 390-403Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cnsns.2016.08.020
Keywords
Tumor growth; Immunology; Mathematical modeling; Cancer Dynamics
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Funding
- Spanish Ministry of Economy and Competitivity [FIS2013-40653-P]
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The fractional cell kill is a mathematical expression describing the rate at which a certain population of cells is reduced to a fraction of itself. In order to investigate the fractional cell kill that governs the rate at which a solid tumor is lysed by a cell population of cytotoxic CD8(+) T cells (CTLs), we present several in silico simulations and mathematical analyses. When the CTLs eradicate efficiently the tumor cells, the models predict a correlation between the morphology of the tumors and the rate at which they are lysed. However, when the effectiveness of the immune cells is decreased, the mathematical function fails to reproduce the process of lysis. This limit is thoroughly discussed and a new fractional cell kill is proposed. (C) 2016 Elsevier B.V. All rights reserved.
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