A mathematical approach to effects of CTLs on cancer virotherapy in the second injection of virus
| Autor: | H.M. Mohammadinejad, Akram Ashyani, Omid RabieiMotlagh |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
0301 basic medicine
Statistics and Probability Computer science Quantitative Biology::Tissues and Organs Immunization Secondary General Biochemistry Genetics and Molecular Biology Injections 03 medical and health sciences symbols.namesake 0302 clinical medicine Singularity Neoplasms Humans Applied mathematics Computer Simulation Virotherapy Oncolytic Virotherapy Hopf bifurcation Immunity Cellular Sequence General Immunology and Microbiology Applied Mathematics Characteristic equation General Medicine Delay differential equation Models Theoretical Oncolytic virus Oncolytic Viruses 030104 developmental biology 030220 oncology & carcinogenesis Modeling and Simulation Antibody Formation symbols Gravitational singularity General Agricultural and Biological Sciences T-Lymphocytes Cytotoxic |
| Zdroj: | Journal of Theoretical Biology. 453:78-87 |
| ISSN: | 0022-5193 |
| DOI: | 10.1016/j.jtbi.2018.05.018 |
| Popis: | This paper proposes a planar delay differential equation for cancer virotherapy. The model simulates the situation in which an oncolytic virus is injected for the second time, and the immune system suppresses the viral infection with a time delay. Our purpose is to provide theoretical conditions so that the therapy can be continued successfully. With the help of the characteristic equation, we examine the singularities and their local stability. Hopf bifurcation is also investigated around the endemic singularity. It is shown that there is a sequence of Hopf bifurcations, but the Hopf cycles do not persist continuously between the two sequential bifurcations. Finally, we see that virotherapy can be conducted successfully by controlling the delay parameter. |
| Databáze: | OpenAIRE |
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