Mathematische Modellierung von Influenza Virus Replikation in Säugerzellen Dissertation zur Erlangung des akademischen Grades Doktoringenieur (Dr.-Ing.) von M. Sc. Yury Sidorenko geb. am 3. März 1979 in Moskau/Russland genehmigt durch die Fakultät für Verfahrens- und Systemtechnik der Otto-von-Guericke-Universität Magdeburg Gutachter: Prof. Dr.-Ing. Udo Reichl Prof. Dr.-Ing. Gennady Bocharov Promotionskolloquium am 29.09.2005 Table of Contents 3 Table of Contents Acknowledgements ......................................................................................................8 Abstract.........................................................................................................................9 Abbreviations .............................................................................................................11 Nomenclature13 1 Introduction21 1.1 Classification of Mathematical Models of Virus Dynamics..............................22 1.1.1 Classification by Abstraction Level............................................................23 1.1.2 Classification by Modeling Principles........................................................24 1.2 Modeling Approaches for Virus Replication in the Cells of Different Types...25 1.3 Modeling of Influenza Virus Dynamics27 1.4 Objectives of The Present Study........................................................................29 1.5 Biological Properties of Mammalian Cells29 1.