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- Markus Durzinsky, Annegret Wagler, Wolfgang Marwan
- BMC Systems Biology
- 2011

Network inference methods reconstruct mathematical models of molecular or genetic networks directly from experimental data sets. We have previously reported a mathematical method which is exclusively data-driven, does not involve any heuristic decisions within the reconstruction process, and deliveres all possible alternative minimal networks in terms ofâ€¦ (More)

- Markus Durzinsky, Annegret Wagler, Robert Weismantel
- CMSB
- 2008

For many aspects of health and disease, it is important to understand different phenomena in biology and medicine. To gain the required insight, experimental data are provided and need to be interpreted, thus the challenging task is to generate all models that explain the observed phenomena. In systems biology the framework of Petri nets is often used toâ€¦ (More)

- Markus Durzinsky, Wolfgang Marwan, Annegret Wagler
- Journal of mathematical biology
- 2013

The aim of this work is to extend a previously presented algorithm (Durzinsky et al. 2008b in Computational methods in systems biology, LNCS, vol 5307. Springer, Heidelberg, pp 328â€“346; Marwan et al. 2008 in Math Methods Oper Res 67:117â€“132) for the reconstruction of standard place/transition Petri nets from time-series of experimental data sets. Thisâ€¦ (More)

- Markus Durzinsky, Annegret Wagler, Robert Weismantel
- Theor. Comput. Sci.
- 2011

Models of biological systems and phenomena are of high scientific interest and practical relevance, but not always easy to obtain due to their inherent complexity. To gain the required insight, experimental data are provided and need to be interpreted in terms of models that explain the observed phenomena. In systems biology the framework of Petri nets isâ€¦ (More)

Building biological models by inferring functional dependencies from experimental data is an important issue in Molecular Biology. To relieve the biologist from this traditionally manual process, various approaches have been proposed to increase the degree of automation. However, available approaches often yield a single model only, rely on specificâ€¦ (More)

- Markus Durzinsky, Annegret Wagler, Robert Weismantel, Wolfgang Marwan
- Biosystems
- 2008

We apply a mathematical algorithm which processes discrete time series data to generate a complete list of Petri net structures containing the minimal number of nodes required to reproduce the data set. The completeness of the list as guaranteed by a mathematical proof allows to define a minimal set of experiments required to discriminate betweenâ€¦ (More)

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