2015
DOI: 10.1007/s40435-015-0221-y
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Optimal control of mixed immunotherapy and chemotherapy of tumours with discrete delay

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Cited by 8 publications
(5 citation statements)
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“…On the other hand, models on tumor-immune interaction considering the involvement of tumor, immune effector cell and IL2 have enhanced our understanding about oscillations in tumor sizes, long-term tumor relapse and the conditions under which tumor elimination may be achieved using Adoptive Cellular Immunotherapy [ 23 ]. Mathematical models are now being exploited for the study of the efficacy of adaptive immunity for the elimination of aggressive tumors [ 24 , 25 ], the existence of an angiogenic switch that regulates Cancer progression [ 26 ] and as a powerful tool in the design of optimal control strategies for Cancer [ 27 , 28 ].…”
Section: Introductionmentioning
confidence: 99%
“…On the other hand, models on tumor-immune interaction considering the involvement of tumor, immune effector cell and IL2 have enhanced our understanding about oscillations in tumor sizes, long-term tumor relapse and the conditions under which tumor elimination may be achieved using Adoptive Cellular Immunotherapy [ 23 ]. Mathematical models are now being exploited for the study of the efficacy of adaptive immunity for the elimination of aggressive tumors [ 24 , 25 ], the existence of an angiogenic switch that regulates Cancer progression [ 26 ] and as a powerful tool in the design of optimal control strategies for Cancer [ 27 , 28 ].…”
Section: Introductionmentioning
confidence: 99%
“…Many mathematical models have been developed to describe the immunological response to infection with different types of biological models, for example human immunodeficiency virus (HIV), H1N1 influenza-A, tumour models and so on [16][17][18][19]21]. Modelling tumour-immune interaction has attracted much attention in the last decades.…”
Section: Introductionmentioning
confidence: 99%
“…For using the treatment with IL-2 can be clear the tumour, and the immune system grows without bounds causing a side effect. Hence, by adding the time delay effect 'τ ' in effector cells and immune system,the uncontrolled growth of the immune system situation is under control [16]. Hence our modified mathematical model as follows:…”
Section: Introductionmentioning
confidence: 99%
“…Many works have been developed for various infectious diseases using different types of delay differential equation models [1,2,3,4,5,6,7,13,14]. Simple models are useful for verifying the various hypotheses and for determining the method of medical treatments.…”
Section: Introductionmentioning
confidence: 99%