As a mathematician, Maria Barbarossa is educated to work with experimentalists, theoretical biologists, chemists and immunologists. She is enthusiastic to work at the boundary between mathematics and the life sciences. Her interest in analysis and its applications in biology and medicine started when she was a master student at the Technische Universität München. During her Ph.D. studies (2008 –2013), her interests evolved towards the field of functional differential equations, especially delay differential equations (DDEs). “The recently established field of applied DDEs is innovative and very advantageous for the biosciences.” During her postdoc at the University of Szeged (2013 – 2015) and later at Heidelberg University (since Oct. 2015), she focused on partial differential equations (PDEs) and studied models for structured population dynamics in the context of infectious diseases. Her current projects are devoted to the development of mathematical models and methods of multiscale models for problems arising in immunobiochemistry and immunoepidemiology.
- Analysis, numerical implementation and parameter estimation methods for mathematical models based on hybrid systems consisting of a combination of PDEs, ODEs and DDEs. Such hybrid systems allow us to describe multi-scale processes in nature and are in particularly useful for modeling problems in immunology.
- Parameter estimation methods, model selection techniques for large systems of (ordinary) differential equations in (immune)biochemistry
Field of Expertise
- Mathematical Models in Biology and Medicine, in particular immunology and epidemiology
- Hybrid systems of Differential Equations (coupled PDEs and ODEs, possibly including time delays), in particular for multiscale processes in biology
- Analytical and numerical methods for differential equations with delays
- A. Coulibaly, H.A. Lindner, M. Thiel et al., Interleukin-15 signaling in HIF-1alpha regulation in natural killer cells, insights through mathematical models, Frontiers in Immunology (2019) https://doi.org/10.3389/fimmu.2019.02401
- M. V. Barbarossa, M. Polner and G. Röst, Temporal evolution of immunity distributions in a population with waning and boosting, Complexity, Vol. 2018 ID 9264743 (2018)
- M. V. Barbarossa, M. Polner and G. Röst, Stability switches induced by immune system boosting in an SIRS model with discrete and distributed delays, SIAM Journal of Applied Mathematics 77(3), pp. 903 -925 (2017)
- M. V. Barbarossa, A. Denes, G. Kiss, Y. Nakata, G. Röst, Zs. Vizi, Transmission dynamics and final epidemic size of Ebola Virus Disease outbreaks with varying interventions, Plos One, July 2015, DOI: 10.1371/journal.pone.0131398
- K. Buddrus-Schiemann, M. Rieger, M. V. Barbarossa et al., Analysis of N-acylhomoserine lactone-dynamics in continuous cultures of Pseudomonas putida IsoF using ELISA and UHPLC/qTOF-MS-derived measurements and mathematical models, Analytical and Bioanalytical Chemistry 406(25), pp. 6373 – 6383 (2014)