G.-W. Weber and Ö. Uğur, Optimizing Gene-Environment Networks: Generalized Semi-Infinite Programming Approach with Intervals, in: HIBIT ---Proceedings of International Symposium on Health Informatics and Bioinformatics, April 30 - May 2, 2007, Antalya, Turkey.


Likewise few other disciplines only, the modeling and prediction of genetical data is requesting mathematics nowadays to deeply understand its foundations. This need is even forced by the rapid changes in a world of globalization. Such a study has to include aspects of stability and tractability; the still existing limitations of modern technology in terms of measurement errors and uncertainty have to be taken into account. In this paper, the important role played by the environment is rigorously introduced into the biological context and connected with employing the theories of optimization and dynamical systems. Especially, a matrix-vector and interval concept and algebra are used in connection with the generalized semi-infinite optimization approach. This paper is embedded into a long-term interdisciplinary study where the new methods become rigorously compared with the existing ones from computational biology, and the environmental aspect integrated, more and more realistically and based on real-word data.