title: A mathematical model of cancer treatment by immunotherapy.
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.
authors.affiliation: Department of Mathematical Sciences, University of Alberta, Edmonton, Canada.
authors.forename: F
authors.initials: F
authors.lastname: Nani
authors.forename: H I
authors.initials: HI
authors.lastname: Freedman
mesh_terms: D001932:Brain Neoplasms / Q000276:immunology / Q000628:therapy; D005260:Female; D006801:Humans; D016219:Immunotherapy, Adoptive; D007376:Interleukin-2 / Q000627:therapeutic use; D015979:Killer Cells, Lymphokine-Activated / Q000276:immunology; D008954:Models, Biological; D009362:Neoplasm Metastasis; D009369:Neoplasms / Q000276:immunology / Q000473:pathology / Q000628:therapy*; D010051:Ovarian Neoplasms / Q000276:immunology / Q000628:therapy
chemical_list: D007376:Interleukin-2