Optimization of gene-environment networks in the presence of errors and uncertainty with Chebychev approximation

Weber G. -., Taylan P., Alparslan-Gok S. Z., Oezoeguer-Akyuz S., Akteke-Ozturk B.

TOP, vol.16, no.2, pp.284-318, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 2
  • Publication Date: 2008
  • Doi Number: 10.1007/s11750-008-0052-5
  • Journal Name: TOP
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.284-318
  • Süleyman Demirel University Affiliated: No


This mathematical contribution is addressed towards the wide interface of life and human sciences that exists between biological and environmental information. Like very 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; some special attention is paid to splines.