Ingbert Kupka

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The search by swimmers for a small target in a bounded domain is ubiquitous in cellular biology, where a prominent case is that of the search by spermatozoa for an egg in the uterus. This is one of the severest selection processes in animal reproduction. We present here a mathematical model of the search, its analysis, and numerical simulations. In the(More)
Topographic maps such as the self organizing map (SOM) or neural gas (NG) constitute powerful data mining techniques which allow to simultaneously cluster data and infer its topological structure, such that additional features, e.g. browsing, become available. Both methods have been introduced for vectorial data sets, i.e. they require a classical feature(More)
Hiermit versichere ich, die vorliegende Arbeit selbständig verfaßt und keine anderen als die ange-gebenen Quellen und Hilfsmittel benutzt zu haben. Acknowledgement I am indebted to a number of people, who supported me in the preparation of this work, especially • Dr. Piotr Krysta, for suggesting the topic, for scientifically supporting the thesis, and(More)
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