Topological Modelling as a Tool for Analysis of Functioning Systems

Topics in Intelligent Engineering and Informatics. Intelligent Systems: Models and Applications 2012
Ivars Karpičs, Zigurds Markovičs, Ieva Markoviča

This article presents a mathematical model construction approach for functioning systems. To perform functioning system analyses with the goal to establish correct work conditions, heuristical problem solving way and mathematical modeling can be used. Topological modeling is an effective tool to develop mathematical models for heterogeneous systems when the available information is insufficient. Within this article, the authors provide a theoretical background and introduce topological model elements, functions, features, and construction phases. A practical model construction process is adapted to be used for medicine tasks. A topological model for multiple diseases is developed. It is used as a mechanism to model the course of a disease and the effect of the applied therapy. Using the proposed criteria for evaluating the chosen therapy and multi-objective optimization techniques make it possible to prescribe the optimal therapy complex for an individual patient.

Atslēgas vārdi
Heterogeneous system, therapy, individual patient, multi-objective optimization
DOI
10.1007/978-3-642-33959-2_13
Hipersaite
http://link.springer.com/chapter/10.1007/978-3-642-33959-2_13

Karpičs, I., Markovičs, Z., Markoviča, I. Topological Modelling as a Tool for Analysis of Functioning Systems. No: Topics in Intelligent Engineering and Informatics. Intelligent Systems: Models and Applications. Berlin: Springer Berlin Heidelberg, 2012, 237.-253.lpp. ISBN 978-3-642-33958-5. e-ISBN 978-3-642-33959-2. Pieejams: doi:10.1007/978-3-642-33959-2_13

Publikācijas valoda
English (en)