Academic Profile

I am an applied mathematician working at the interface of dynamical systems, network science, and computational modelling. My research develops structural and computational methods for understanding complex systems and translating mathematical insights into interdisciplinary applications.

My primary application field for the coming years is sustainability science. I investigate ecological restoration, atmospheric water harvesting, and decentralised renewable water–energy systems, with the aim of transferring mathematical modelling into a demonstrative pilot project for the greening of a water-limited site. This research combines long-term climate data, ecological modelling, renewable energy, water generation, irrigation, and the analysis of restoration pathways.

A second application field is computational systems biology and bioinformatics, including virus infection dynamics, cell-cycle models, microbial communities, and neurological signalling. Across these areas, my work combines mathematically rigorous theory, data analysis, computational tools, international collaboration, and research-led teaching.

Selected Publications

The complete and continuously updated publication record is available on Google Scholar: scholar.google.de/citations

Linking network structure and dynamics to describe the set of persistent species in reaction-diffusion systems — SIAM Journal on Applied Dynamical Systems, 2021. Establishes the mathematical connection between reaction-network structure and persistent long-term behaviour in spatially distributed systems. doi.org/10.1137/21M1396708

Computing all persistent subspaces of a reaction-diffusion system — Scientific Reports, 2023. Introduces an efficient computational method for identifying persistent subspaces in complex reaction networks. doi.org/10.1038/s41598-023-44244-x

Reaction-network modeling of restoration pathways in semi-arid agroecosystems — Ecological Modelling, 2026. Transfers reaction-network theory to plant–soil feedbacks and identifies structurally feasible ecosystem states and restoration pathways. doi.org/10.1016/j.ecolmodel.2026.111685

Solar-driven atmospheric water yields under climate stress: A 23-year global data analysis — Environmental Earth Sciences, 2026. Quantifies the geographical and climatic potential of solar-powered atmospheric water harvesting using long-term global data. doi.org/10.1007/s12665-025-12789-x

Performance Analysis of a Solar-Powered Multi-Purpose Supply Container — Sustainability, 2022. Assesses decentralised renewable electricity and water production for different climates and humanitarian applications. doi.org/10.3390/su14095525

Cell Cycle Complexity: Exploring the Structure of Persistent Subsystems in 414 Models — Biomedicines, 2024. Provides a large-scale structural comparison of persistent subsystems across hundreds of cell-cycle models. doi.org/10.3390/biomedicines12102334

Revealing the hierarchical structure of microbial communities — Scientific Reports, 2024. Combines Chemical Organization Theory with data analysis to reveal hidden hierarchical relationships in microbial communities. doi.org/10.1038/s41598-024-61836-3 

Applied Mathematics for Complex Systems

I develop mathematical methods for analysing complex reaction-based systems. A central focus is Chemical Organization Theory and its extension to reaction-diffusion systems, which connect network structure with long-term dynamics and identify persistent subsystems without requiring exhaustive simulation of every trajectory.

My work combines rigorous results for ordinary and partial differential-equation models with computational algorithms. Key contributions include the characterisation of persistent species in reaction-diffusion systems and an efficient method for computing persistent subspaces in large reaction networks.

These mathematical foundations support applications in sustainability science, ecological restoration, systems biology, infectious-disease modelling, and artificial intelligence.

Sustainability Science: Restoration and Sustainable Water–Energy Systems

Sustainability science is the main application field of my future research agenda. I combine applied mathematics, ecological modelling, long-term climate data, and computational simulation to study restoration pathways and decentralised systems for renewable energy and water production.

A particular focus is the restoration of semi-arid ecosystems. Our recent work uses reaction-network modelling to compare alternative restoration pathways and identify conditions under which degraded agroecosystems can recover. A 23-year global climate-data analysis complements this work by investigating solar-driven atmospheric water harvesting under climate stress.

Building on these results, I am planning a demonstrative pilot project for the greening and restoration of a water-limited site. It will connect mathematical modelling, atmospheric water generation, renewable electricity, irrigation, ecological monitoring, and collaboration with local and international partners. The Nathal Energy Supply-Container Simulation supports site-specific estimates of electricity and water production.

Bioinformatics and Computational Systems Biology

My bioinformatics research applies reaction-network theory and structural analysis to biological systems. The objective is to identify persistent subsystems, compare model architectures, and make the long-term behaviour of complex biological models more interpretable.

Applications include Influenza A and SARS-CoV-2 infection dynamics, cell-cycle models, microbial communities, and neurological signalling pathways. Recent studies analysed persistent structures across 414 cell-cycle models and revealed hierarchical organisation in microbial communities.

This work connects rigorous applied mathematics with computational systems biology and supports the construction, comparison, and refinement of mechanistic models.