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Modelling, Analysis and Optimization of Biosystems [electronic resource] /by Werner Krabs, Stefan Wolfgang Pickl.

by Krabs, Werner [author.]; Pickl, Stefan Wolfgang [author.]; SpringerLink (Online service).
Material type: materialTypeLabelBookPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007.Description: XI, 203 p. online resource.ISBN: 9783540714538.Subject(s): Mathematics | Hematology | Cytology -- Research_xMethodology | Biology -- Mathematics | Mathematics | Mathematical Biology in General | Biological Techniques | Operations Research/Decision Theory | Hematology | Control EngineeringDDC classification: 570.151 Online resources: Click here to access online
Contents:
Growth Models -- A Game-Theoretic Evolution Model -- Four Models of Optimal Control in Medicine -- A Mathematical Model of Hemodialysis.
In: Springer eBooksSummary: Mathematical models in biology and medicine cannot be based on natural laws as it is the case with physics and chemistry. This is due to the fact that biological and medical processes are concerned with living organisms. Mathematical models, however, can be used as a language by which certain aspects of biological or medical processes can be expressed. In general, several mathematical models can be designed in order to describe a biological or medical process and there is no unique criterion which model gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operations research expertise is necessary in respect to modeling, analysis and optimization of biosystems.
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Growth Models -- A Game-Theoretic Evolution Model -- Four Models of Optimal Control in Medicine -- A Mathematical Model of Hemodialysis.

Mathematical models in biology and medicine cannot be based on natural laws as it is the case with physics and chemistry. This is due to the fact that biological and medical processes are concerned with living organisms. Mathematical models, however, can be used as a language by which certain aspects of biological or medical processes can be expressed. In general, several mathematical models can be designed in order to describe a biological or medical process and there is no unique criterion which model gives the best description. This book presents several of these models and shows applications of them to different biological and medical problems. The book shows that operations research expertise is necessary in respect to modeling, analysis and optimization of biosystems.

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