Dr Yordan Kyosev is Professor of textile materials, textile technology and quality management at the Faculty of Textile and Clothing Technology, Niederrhein University of Applied Sciences, Germany. He has extensive expertise in both braiding technology and mathematical modelling of braided products, and is the author of numerous publications on braiding, he is also the main developer of the leading braiding CAD software, Texmind Braider.

• Introduction and problem definition.- Topology based models of tubular and flat braided structures.- Evaluation of the properties of braided structures based on topological models.- Process emulation based development of braided structures and machines.- Topological modeling of knitted structures.- Truss framework model for warp knitted structures.- Notes about topological methods for woven structures.- Topology based modeling of sewing stitches.- Extending to filament level and interplation issues.- Assembly level--from textile structures to textile assemblies.- Data structures for multiscale modeling of flexible assemblies and software.- Computational mechanics of the one dimensional continuum as refinement of the toplogy based models.- Applications of the toplogical generated models.- Summary.