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...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Schättler, Heinz (Author), Ledzewicz, Urszula (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Series:Interdisciplinary Applied Mathematics, 42
Subjects:
Mathematical optimization.
Calculus of variations.
Geometry.
Control engineering.
Cancer.
Calculus of Variations and Optimization.
Control and Systems Theory.
Cancer Biology.
Online Access:Texto Completo
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.

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