Optimal Finite Cancer Treatment Duration by Using Mixed Vaccine Therapy and Chemotherapy : State Dependent Riccati Equation Control
Joint Authors
Ghaffari, Ali
Arab, Farhad
Nazari, Mostafa
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-03-13
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The main objective of this paper is to propose an optimal finite duration treatment method for cancer.
A mathematical model is proposed to show the interactions between healthy and cancerous cells in the human body.
To extend the existing models, the effect of vaccine therapy and chemotherapy are also added to the model.
The equilibrium points and the related local stability are derived and discussed.
It is shown that the dynamics of the cancer model must be changed and modified for finite treatment duration.
Therefore, the vaccine therapy is used to change the parameters of the system and the chemotherapy is applied for pushing the system to the domain of attraction of the healthy state.
For optimal chemotherapy, an optimal control is used based on state dependent Riccati equation (SDRE).
It is shown that, in spite of eliminating the treatment, the system approaches the healthy state conditions.
The results show that the development of optimal vaccine-chemotherapy protocols for removing tumor cells would be an appropriate strategy in cancer treatment.
Also, the present study states that a proper treatment method not only reduces the population of the cancer cells but also changes the dynamics of the cancer.
American Psychological Association (APA)
Ghaffari, Ali& Nazari, Mostafa& Arab, Farhad. 2014. Optimal Finite Cancer Treatment Duration by Using Mixed Vaccine Therapy and Chemotherapy : State Dependent Riccati Equation Control. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-466050
Modern Language Association (MLA)
Ghaffari, Ali…[et al.]. Optimal Finite Cancer Treatment Duration by Using Mixed Vaccine Therapy and Chemotherapy : State Dependent Riccati Equation Control. Journal of Applied Mathematics No. 2014 (2014), pp.1-9.
https://search.emarefa.net/detail/BIM-466050
American Medical Association (AMA)
Ghaffari, Ali& Nazari, Mostafa& Arab, Farhad. Optimal Finite Cancer Treatment Duration by Using Mixed Vaccine Therapy and Chemotherapy : State Dependent Riccati Equation Control. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-9.
https://search.emarefa.net/detail/BIM-466050
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-466050