Optimal Control for Mathematical Models of Cancer Therapies An Application of Geometric Methods
This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocol...
| Main Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
New York, NY
Springer New York
2015, 2015
|
| Edition: | 1st ed. 2015 |
| Series: | Interdisciplinary Applied Mathematics
|
| Subjects: | |
| Online Access: | |
| Collection: | Springer eBooks 2005- - Collection details see MPG.ReNa |
Table of Contents:
- Cancer and Tumor Development: Biomedical Background
- Cell-Cycle Specific Cancer Chemotherapy for Homogeneous Tumors
- Cancer Chemotherapy for Heterogeneous Tumor Cell Populations and Drug Resistance
- Optimal Control for Problems with a Quadratic Cost Functional on the Therapeutic Agents
- Optimal Control of Mathematical Models for Antiangiogenic Treatments
- Robust Suboptimal Treatment Protocols for Antiangiogenic Therapy
- Combination Therapies with Antiangiogenic Treatments
- Optimal Control for Mathematical Models of Tumor Immune System Interactions
- Concluding Remarks
- Appendices