Abstract
We construct a population dynamics model of the competition among immune system cells and generic tumor cells. Then, we apply the theory of optimal control to find the optimal schedule of injection of autologous dendritic cells used as immunotherapeutic agent. The optimization method works for a general ODE system and can be applied to find the optimal schedule in a variety of medical treatments that have been described by a mathematical model.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 255-274 |
| Number of pages | 20 |
| Journal | Bulletin of Mathematical Biology |
| Volume | 68 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2006 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Neuroscience(all)
- Immunology
- Mathematics(all)
- Biochemistry, Genetics and Molecular Biology(all)
- Environmental Science(all)
- Pharmacology
- Agricultural and Biological Sciences(all)
- Computational Theory and Mathematics
Keywords
- Autologous dendritic cells transfection
- Cancer
- Immunotherapy
- Necessary conditions
- Optimal control