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Titlebook: Optimal Control for Mathematical Models of Cancer Therapies; An Application of Ge Heinz Sch?ttler,Urszula Ledzewicz Book 2015 Springer Scie

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書目名稱Optimal Control for Mathematical Models of Cancer Therapies
副標(biāo)題An Application of Ge
編輯Heinz Sch?ttler,Urszula Ledzewicz
視頻videohttp://file.papertrans.cn/703/702818/702818.mp4
概述Applies geometric optimal control to real life problems arising in cancer research, for the first time published in book form.Combines rigorous mathematical analysis with biomedical background and int
叢書名稱Interdisciplinary Applied Mathematics
圖書封面Titlebook: Optimal Control for Mathematical Models of Cancer Therapies; An Application of Ge Heinz Sch?ttler,Urszula Ledzewicz Book 2015 Springer Scie
描述.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..
出版日期Book 2015
關(guān)鍵詞Optimal control; anti-angiogenic treatment; geometric optimal control; mathematical models; mathematical
版次1
doihttps://doi.org/10.1007/978-1-4939-2972-6
isbn_softcover978-1-4939-4279-4
isbn_ebook978-1-4939-2972-6Series ISSN 0939-6047 Series E-ISSN 2196-9973
issn_series 0939-6047
copyrightSpringer Science+Business Media, LLC 2015
The information of publication is updating

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Optimal Control for Problems with a Quadratic Cost Functional on the Therapeutic Agents,trol in the objective is taken as a positive definite quadratic function. The mathematical advantages of such a formulation are obvious: the Hamiltonian . for the optimal control problem becomes strictly convex in the control . and thus has a unique minimizer, albeit only in the state-multiplier spa
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Optimal Control of Mathematical Models for Antiangiogenic Treatments,herapeutically sensitive cells to heterogeneous structures of cell populations with varying sensitivities or even resistance. From an optimal control point of view, optimal treatment schedules change from bang-bang solutions with upfront dosing (that correspond to classical MTD approaches in medicin
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Concluding Remarks,ents. In the administration of cancer treatments, these questions are still far from being answered conclusively. In this text, we have explored what can be said about this topic from an analysis of minimally parameterized models described by ordinary differential equations using an optimal control
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Heinz Sch?ttler,Urszula Ledzewicz it describes the structure and evaluation of the learner model implemented within VIS (the Vygotskian Instructional System). This software explores the way that Vygotsky’s Zone of Proximal Development can be used in the design of learner models. This theoretical foundation requires the system to ad
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