Modelling, Analysis and Optimization of Biosystems [electronic resource] / by Werner Krabs, Stefan Wolfgang Pickl.Material type: TextPublisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2007Description: XI, 203 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783540714538Subject(s): Mathematics | Operations research | Decision making | Hematology | Biology -- Technique | Biomathematics | Control engineering | Robotics | Mechatronics | Mathematics | Mathematical and Computational Biology | Biological Techniques | Operation Research/Decision Theory | Hematology | Control, Robotics, MechatronicsAdditional physical formats: Printed edition:: No titleDDC classification: 570.285 LOC classification: QH323.5QH324.2-324.25Online resources: Click here to access online
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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.