Phone: +49 163 665 61 67
Mail: drumiantsau (at) constructor.university
Position: Ph.D. student

Research

My current research interests are graph theory, complex network science and systems biology. The topic of my PhD is motivated by desire to understand how the architecture of transcriptional gene regulatory network affects gene expression patterns. To that end, I create sythetic expression data as steady states of dynamical model ran on the network, and explore the connections they have with spectral properties of network’s adjacency matrix.

In addition, I am involved in a project where we aim to predict possible functions of a network by analyzing it’s statistical properties. Of particular interest in context of this question is the interplay between network architecture and dynamics.

Recent Publications

                    @article{rumiantsauCategoriesImportantEdges2025,
 abstract = {How important is a single edge of a graph for a specific dynamical task? This question is of practical relevance to many research fields and is pivotal to understanding the structure–function relationships in complex networks more deeply. Here, we design an analysis strategy to answer it and explore the connection of such importance to network topology. Our approach for evaluating dynamical edge importance is based on the differences in time courses between dynamics on the original graph 𝐺 and on the graph 𝐺− missing an edge. To demonstrate the method’s versatility, we apply it to two drastically different classes of dynamics—a minimal model of excitable dynamics, and totalistic cellular automata on graphs as representatives of pattern formation. Our results suggest that the dynamical usage of a graph relies on markedly different topological attributes for these two classes of processes. Finally, we study dynamical edge importance in the macaque cortical area network, to illustrate possible real-world applications. We find that dynamical importance of edges differ between the network and its switch-randomized counterparts, and these differences can be functionally interpreted. Moreover, they are qualitatively distinct for long-time courses and short transients, highlighting different parts of the network’s intended function.},
 author = {Rumiantsau, Dzmitry and Falk, Johannes and Nyczka, Piotr and Hütt, Marc-Thorsten},
 doi = {10.1098/rsos.241086},
 file = {Full Text PDF:/home/johannes/.mozilla/firefox/5ah0aj87.default/zotero/storage/36SIMII9/Rumiantsau et al. - 2025 - Categories of important edges in dynamics on graph.pdf:application/pdf},
 journal = {Royal Society Open Science},
 keywords = {dynamical edge importance, dynamical task, excitable dynamics, macaque cortical area network, totalistic cellular automata},
 month = {April},
 note = {Publisher: Royal Society},
 number = {4},
 pages = {241086},
 title = {Categories of important edges in dynamics on graphs},
 url = {https://royalsocietypublishing.org/doi/10.1098/rsos.241086},
 urldate = {2025-05-20},
 volume = {12},
 year = {2025}
}

                

                    @article{rumiantsau2023predicting,
 author = {Rumiantsau, Dzmitry and Lesne, Annick and Hütt, Marc-Thorsten},
 journal = {arXiv preprint arXiv:2301.10370},
 title = {Predicting attractors from spectral properties of stylized gene regulatory networks},
 year = {2023}
}