New developments on AIDS‐related cancers: The role of the delay and treatment options

We propose a simple delay mathematical model for the dynamics of AIDS‐related cancers with treatment of HIV and chemotherapy. The main goals are to study the effects of the delay and of treatment (HAART and chemotherapy) in cancer cells growth. The model was simulated for several biologically reason...

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Bibliographic Details
Published in:Mathematical methods in the applied sciences 2018-12, Vol.41 (18), p.8915-8928
Main Authors: Carvalho, Ana R. M., Pinto, Carla M. A.
Format: Article
Language:English
Subjects:
Acquired immune deficiency syndrome
AIDS
AIDS‐related cancer
Chemotherapy
Computer simulation
Decay rate
Delay
Epidemiology
HAART
HIV
Human immunodeficiency virus
Tempering
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Summary:We propose a simple delay mathematical model for the dynamics of AIDS‐related cancers with treatment of HIV and chemotherapy. The main goals are to study the effects of the delay and of treatment (HAART and chemotherapy) in cancer cells growth. The model was simulated for several biologically reasonable values of the delay, of HAART efficacies and of chemotherapeutic drugs decay rates. The results of the simulations reveal an epidemiologically well‐defined model. Important inferences are drawn for designing future treatment protocols.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4657