title: Mathematical Modelling and Analysis of the Tumor Treatment Regimens with Pulsed Immunotherapy and Chemotherapy.
abstract: To begin with, in this paper, single immunotherapy, single chemotherapy, and mixed treatment are discussed, and sufficient conditions under which tumor cells will be eliminated ultimately are obtained. We analyze the impacts of the least effective concentration and the half-life of the drug on therapeutic results and then find that increasing the least effective concentration or extending the half-life of the drug can achieve better therapeutic effects. In addition, since most types of tumors are resistant to common chemotherapy drugs, we consider the impact of drug resistance on therapeutic results and propose a new mathematical model to explain the cause of the chemotherapeutic failure using single drug. Based on this, in the end, we explore the therapeutic effects of two-drug combination chemotherapy, as well as mixed immunotherapy with combination chemotherapy. Numerical simulations indicate that combination chemotherapy is very effective in controlling tumor growth. In comparison, mixed immunotherapy with combination chemotherapy can achieve a better treatment effect.
authors.affiliation: Department of Mathematics, Huanghuai University, Zhumadian 463000, China.
authors.forename: Liuyong
authors.initials: L
authors.lastname: Pang
authors.affiliation: Department of Mathematics, Huanghuai University, Zhumadian 463000, China.
authors.forename: Lin
authors.initials: L
authors.lastname: Shen
authors.affiliation: Department of Mathematics, Huanghuai University, Zhumadian 463000, China.
authors.forename: Zhong
authors.initials: Z
authors.lastname: Zhao
mesh_terms: D000818:Animals; D000971:Antineoplastic Combined Chemotherapy Protocols / Q000627:therapeutic use; D003131:Combined Modality Therapy; D003198:Computer Simulation; D019008:Drug Resistance, Neoplasm; D004358:Drug Therapy / Q000379:methods*; D006801:Humans; D007167:Immunotherapy / Q000379:methods*; D051379:Mice; D008962:Models, Theoretical; D009369:Neoplasms / Q000188:drug therapy* / Q000276:immunology / Q000628:therapy*