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Modelling pulsed immunotherapy of tumour–immune interaction

Modelling pulsed immunotherapy of tumour–immune interaction

Yang, Jin, Tang, Sanyi and Cheke, Robert A. (2015) Modelling pulsed immunotherapy of tumour–immune interaction. Mathematics and Computers in Simulation, 109. pp. 92-112. ISSN 0378-4754 (doi:10.1016/j.matcom.2014.09.001)

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Abstract

We develop a mathematical model that describes the tumour–immune interaction and the effect on it of pulsed immunotherapy, based on the administration of adoptive cellular immunotherapy (ACI) combined with interleukin-2 (IL-2). The stability conditions for the tumour-free periodic solution are provided with different frequencies of ACI applications and IL-2 infusions. Furthermore, the effects of period, dosage and times of drug deliveries on the amplitudes of the tumour-free periodic solution were investigated. The most feasible immunotherapy strategy was determined by comparing immunotherapy with ACI treatment with or without IL-2. However, to investigate how to enhance the efficacy of chemotherapy (radiotherapy) and reduce its side-effects, we developed a model involving periodic applications of immunotherapy with chemotherapy (radiotherapy) applied only when the density of the tumour reached a given threshold. The results revealed that the initial densities, the effector cell: tumour cell ratios, the periods T and a given critical number of tumour cells CT are crucial for cancer treatment, which confirms that it is important to customize treatment strategies for individual patients.

Item Type: Article
Uncontrolled Keywords: cancer, immunotherapy, periodic solution, combined therapy, threshold
Subjects: Q Science > QA Mathematics > QA76 Computer software
R Medicine > RC Internal medicine > RC0254 Neoplasms. Tumors. Oncology (including Cancer)
R Medicine > RS Pharmacy and materia medica
Faculty / Department / Research Group: Faculty of Engineering & Science
Faculty of Engineering & Science > Natural Resources Institute
Last Modified: 21 Oct 2016 10:43
URI: http://gala.gre.ac.uk/id/eprint/12314

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