Abstract
In this chapter, we present a simple mathematical model of tumor-immune interactions in presence of chemotherapy treatment. The model is governed by a system of delay differential equations with optimal control variables. The control variables are included to justify the best treatment strategy with minimum side effects by reducing the production of new tumor cells and keeping the number of normal cells above the average of its carrying capacity. The numerical simulations show that the optimal treatment strategy reduces the load of tumor cells and increases the effector cells after just a few days of therapy.
| Original language | English |
|---|---|
| Title of host publication | Control Theory in Biomedical Engineering |
| Subtitle of host publication | Applications in Physiology and Medical Robotics |
| Publisher | Elsevier |
| Pages | 83-104 |
| Number of pages | 22 |
| ISBN (Electronic) | 9780128213506 |
| DOIs | |
| Publication status | Published - Jan 1 2020 |
Keywords
- 37N25
- 37N35
- 92C50
- Chemotherapy
- DDEs
- Dynamical systems in control 34K28
- Hamiltonian
- Immune system
- Mathematical modeling
- Medical applications of mathematical biology 93A30
- Optimal control
- Time-lags
ASJC Scopus subject areas
- General Agricultural and Biological Sciences
- General Biochemistry,Genetics and Molecular Biology
