說明 
1 online resource (xix, 496 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
Interdisciplinary applied mathematics, 09396047


Interdisciplinary applied mathematics

附註 
Cancer and Tumor Development: Biomedical Background  CellCycle 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 

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 protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful 
Host Item 
Springer eBooks

主題 
Cancer  Treatment  Mathematical models


Mathematics


Calculus of Variations and Optimal Control; Optimization


Geometry


Control


Cancer Research

Alt Author 
Ledzewicz, Urszula, author


SpringerLink (Online service)

