Optimal Control for Mathematical Models of Cancer Therapies : An Application of Geometric Methods / by Heinz Schättler, Urszula Ledzewicz
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 2015. |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 2015 |
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| 書誌ID | OB01016821 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access Summary: 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 |
| 著者標目 | *Schättler, Heinz Ledzewicz, Urszula SpringerLink (Online service) |
| 統一書名標目 | Interdisciplinary Applied Mathematics, |
| 件 名 | LCSH:Mathematical optimization LCSH:Geometry LCSH:Oncology FREE:Calculus of Variations and Optimal Control; Optimization FREE:Geometry FREE:Control and Systems Theory FREE:Cancer Research |
| 分 類 | LCC:QA315-316 LCC:QA402.3 LCC:QA402.5-QA402.6 DC23:515.64 |
| 巻冊次 | ISBN:9781493929726 RefWorks出力（各巻） print ; ISBN:9781493929719 RefWorks出力（各巻） print ; ISBN:9781493929733 RefWorks出力（各巻） print ; ISBN:9781493942794 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
| 所蔵情報へのリンク | Optimal control for mathematical models of cancer therapies : an application of geometric methods / Heinz Schättler, Urszula Ledzewicz |
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