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Article
Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment
Communications in Nonlinear Science and Numerical Simulation
  • M. Kolev, University of Warmia and Mazury
  • S. Nawrocki, University of Warmia and Mazury
  • Barbara Zubik-Kowal, Boise State University
Document Type
Article
Publication Date
6-1-2013
Disciplines
Abstract
We investigate a new mathematical model that describes lung cancer regression in patients treated by chemotherapy and radiotherapy. The model is composed of nonlinear integro-differential equations derived from the so-called kinetic theory for active particles and a new sink function is investigated according to clinical data from carcinoma planoepitheliale. The model equations are solved numerically and the data are utilized in order to find their unknown parameters. The results of the numerical experiments show a good correlation between the predicted and clinical data and illustrate that the mathematical model has potential to describe lung cancer regression.
Citation Information
M. Kolev, S. Nawrocki and Barbara Zubik-Kowal. "Numerical Simulations for Tumor and Cellular Immune System Interactions in Lung Cancer Treatment" Communications in Nonlinear Science and Numerical Simulation (2013)
Available at: http://works.bepress.com/barbara_zubik_kowal/33/