Dynamics of a Virological Model for Cancer Therapy with Innate Immune Response
Joint Authors
Yousfi, Noura
Nouni, Ayoub
Hattaf, Khalid
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-27
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The aim of this work is to present a virological model for cancer therapy that includes the innate immune response and saturation effect.
The presented model combines both the evolution of a logistic growing tumor and time delay which stands for the period of the viral lytic cycle.
We use the delay differential equation in order to model this time which also means the time needed for the infected tumor cells to produce new virions after viral entry.
We show that the delayed model has four equilibria which are the desired outcome therapy equilibrium, the complete failure therapy equilibrium, the partial success therapy free-immune equilibrium when the innate immune response has not been established, and the partial success therapy equilibrium with immune response.
Furthermore, the stability analysis of equilibria and the Hopf bifurcation are properly exhibited.
American Psychological Association (APA)
Nouni, Ayoub& Hattaf, Khalid& Yousfi, Noura. 2020. Dynamics of a Virological Model for Cancer Therapy with Innate Immune Response. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144509
Modern Language Association (MLA)
Nouni, Ayoub…[et al.]. Dynamics of a Virological Model for Cancer Therapy with Innate Immune Response. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1144509
American Medical Association (AMA)
Nouni, Ayoub& Hattaf, Khalid& Yousfi, Noura. Dynamics of a Virological Model for Cancer Therapy with Innate Immune Response. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1144509
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1144509