Delay Differential Model for Tumour-Immune Response with Chemoimmunotherapy and Optimal Control

• Published in: Computational and mathematical methods in medicine Vol. 2014; no. 2014; pp. 1 - 15
• Main Authors: Rihan, Fathalla A., Abdelrahman, D. H., al-Maskari, F., Ibrahim, F., Abdeen, M. A.
• Format: Journal Article
• Language: English
• Published: Cairo, Egypt Hindawi Puplishing Corporation 01.01.2014; Hindawi Publishing Corporation
• Subjects: Computer Simulation; Drug Therapy - methods; Humans; Immunotherapy - methods; Models, Immunological; Neoplasms - drug therapy; Neoplasms - immunology; T-Lymphocytes, Cytotoxic - immunology

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 var...