Abstract

AbstractAn environment has been developed which comprises mathematical methods, concepts, and tools to enable the processing of experimental data to usable new insights about biological systems. Therefore, a mathematical modelling concept - Hybrid Petri-Nets for biological applications (HPNbio) – has been defined which is properly adapted to the demands of biological process. This concept has been implemented with the object-oriented modelling language Modelica. The developed Modelica library, called PNlib (Petri Net library), in combination with an appropriate Modelica-tool enables graphical hierarchical modelling, hybrid simulation, and animation of HPNbio-models. Thereby, an additional Modelica library, called PNproBio (Petri Nets for process modelling of Biological systems), provides wrapped HPNbio which offers on the one hand an easy-use-model at the top level with an intuitive and familiar adapted biological view and on the other hand the flexibility and generality of the HPNbio concept at a lower level. Based on an established model, the underlying processes can be optimized. This process optimization procedure is performed by means of hybrid optimization methods, i.e. a global method is combined with a local method by use of a specific switching strategy, in order to realize an open-loop control for biological processes.

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