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Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control
Joint Authors
Abdelrahman, D. H.
Rihan, Fathalla A.
al-Maskari, F.
Ibrahim, F.
Abdeen, M. A.
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-08-13
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present a delay differential model with optimal control that describes the interactions of the tumour cells and immune response cells with external therapy.
The intracellular delay is incorporated into the model to justify the time required to stimulate the effector cells.
The optimal control variables are incorporated to identify the best treatment strategy with minimum side effects by blocking the production of new tumour cells and keeping the number of normal cells above 75% of its carrying capacity.
Existence of the optimal control pair and optimality system are established.
Pontryagin’s maximum principle is applicable to characterize the optimal controls.
The model displays a tumour-free steady state and up to three coexisting steady states.
The numerical results show that the optimal treatment strategies reduce the tumour cells load and increase the effector cells after a few days of therapy.
The performance of combination therapy protocol of immunochemotherapy is better than the standard protocol of chemotherapy alone.
American Psychological Association (APA)
Rihan, Fathalla A.& Abdelrahman, D. H.& al-Maskari, F.& Ibrahim, F.& Abdeen, M. A.. 2014. Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-513444
Modern Language Association (MLA)
Rihan, Fathalla A.…[et al.]. Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-513444
American Medical Association (AMA)
Rihan, Fathalla A.& Abdelrahman, D. H.& al-Maskari, F.& Ibrahim, F.& Abdeen, M. A.. Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-513444
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513444