Yang, Jin, Tang, Sanyi and Cheke, Robert A. ORCID: https://orcid.org/0000-0002-7437-1934 (2014) 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 sideeffects, 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 customise treatment strategies for individual patients.

Item Type:	Article
Additional Information:	[1] The 'Author's Accepted Manuscript' version is attached to this record. Please cite this article as: J. Yang, S. Tang, R.A. Cheke, Modelling pulsed immunotherapy of tumour-immune interaction, Math. Comput. Simulation (2014), http://dx.doi.org/10.1016/j.matcom.2014.09.001. Publisher's note: This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. [2] Acknowledgements (funding): This work was supported by the Fundamental Research Funds for the Central Universities (GK201305010, GK201401004), and by the National Natural Science Foundation of China (NSFC,11171199, 11371030, 11301320).
Uncontrolled Keywords:	cancer, immunotherapy, periodic solution, combined therapy
Subjects:	Q Science > QA Mathematics > QA76 Computer software R Medicine > RS Pharmacy and materia medica
Faculty / School / Research Centre / Research Group:	Faculty of Engineering & Science Faculty of Engineering & Science > Natural Resources Institute
Last Modified:	19 Sep 2019 08:39
URI:	http://gala.gre.ac.uk/id/eprint/12240

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