Abstract：
:We propose a new approach for tumor immunotherapy which is based on a switching control strategy defined on domains of attraction of equilibria of interest. For this, we consider a recently derived model which captures the effects of the tumor cells on the immune system and viceversa, through predator-prey competition terms. Additionally, it incorporates the immune system's mechanism for producing hunting immune cells, which makes the model suitable for immunotherapy strategies analysis and design. For computing domains of attraction for the tumor nonlinear dynamics, and thus, for deriving immunotherapeutic strategies we employ rational Lyapunov functions. Finally, we apply the switching control strategy to destabilize an invasive tumor equilibrium and steer the system trajectories to tumor dormancy.
journal_name
Math Bioscijournal_title
Mathematical biosciencesauthors
Doban AI,Lazar Mdoi
10.1016/j.mbs.2016.09.008subject
Has Abstractpub_date
2017-02-01 00:00:00pages
40-50eissn
0025-5564issn
1879-3134pii
S0025-5564(16)30175-4journal_volume
284pub_type
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