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Please use this identifier to cite or link to this item: http://hdl.handle.net/1959.3/836
- Title
- A mathematical model of cancer treatment by immunotherapy
- Author(s)
- Nani, Frank; Freedman, Herb I.
- Abstract
- In this paper, a detailed mathematical study of cancer immunotherapy will be presented. General principles of cancer immunotherapy and the model equations and hypotheses will be discussed. Mathematical analyses of the model equations with regard to dissipativity, boundedness of solutions, invariance of non-negativity, nature of equilibria, persistence, extinction and global stability will be analyzed. It will also be shown that bifurcations can occur, and criteria for total cure will also be derived.
- Publication type
- Journal article
- Research centre
- Swinburne University of Technology. School of Mathematical Sciences
- Source
- Mathematical biosciences, Vol. 163, no. 2 (Feb. 2000), pp. 159-199
- Publication year
- 2000
- Keyword(s)
- Cancer treatment; Competition; Dynamic modelling; Hopf bifurcation; Immunotherapy; Periodicity; Persistence and extinction; Stability
- Publisher
- Elsevier Science
- Format
- pp. 159-199
- ISSN
- 0025-5564
- Publisher URL
- Mathematical biosciences
- Publisher URL
- http://dx.doi.org/10.1016/S0025-5564(99)00058-9
- Copyright
- Copyright © 2000 Elsevier Science Inc. All rights reserved.
- Peer reviewed
