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I am a head of a research group: BioStruct: Mathematics of self-organisation in cell-systems.

My research grants:
Research Training Group (MMQB) "Mathematical Modeling for the Quantitative Biosciences" (coordinator) (2016 - 2019).
SCIDATOS: Scientific Computing for Improved Detection and Therapy of Sepsis - Research network of the Heidelberg University and the University Medical Center Mannheim funded by Klaus Tschira Foundation (principial investigator) (2015 - 2020).
Collaborative Research Center SFB 873, "Maintenance and Differentiation of Stem Cells in Development and Disease" (principial investigator) (2010 - 2018).
"Multiscale modelling, analysis and simulation of biological tissues" - Grant in the framework of Mobility in international research collaborations, Excellence Initiative II, Heidelberg University, for the Heidelberg - Dundee project (2013 - 2016).
"Measure spaces and Orlicz spaces in the mathematical description of growth and transport phenomena" - Grant of Polish National Science Center 6085/B/H03/2011/40 (principial investigator) (2011 - 2014).
Grant "Mathematical modelling and analysis of discrete and continuous structured population dynamics" of Ministry for Science and Innovation (MICINN), Spain (2011 - 2014).
International PhD Programme "Mathematical Methods in Natural Sciences" Warsaw-Wroclaw-Heidelberg-Paris-Prag granted by Foundation for Polish Science (principial investigator, co-supervisor of 3 PhD projects) (2009 - 2015).
WIN-Kolleg of the Heidelberg Academy of Sciences and Humanities "Principles in the generation of the biological form" (05/2009 - 04/2013).
Young researchers group in Emmy Noether Programme of the German Research Foundation (DFG), panel Mathematics (funding for the young researchers group) (2008 - 2015).
"Ideas" - Starting grant of European Research Council (panel Mathematics) (09/2008 - 08/2013).
WIN-Kolleg of the Heidelberg Academy of Sciences and Humanities for interdisciplinary project "A man is so old as his stem cells" (principial investigator) (07/2007 - 06/2012).
Grant of the USA National Science Foundation (NSF) for organising "Polish-American Workshop on Signalling Pathways", Bedlewo, Poland (06/2005).
Grants for young researchers for participation in conferencnes (Milano 07/2002, Dresden 07/2005, Warsaw 05/2006, Anogia 07/2006, Barcelona 02/2009).

Large-scale programmes:
Research Training Group (MMQB) "Mathematical Modeling for the Quantitative Biosciences" (2016 - 2019).
SCIDATOS: Scientific Computing for Improved Detection and Therapy of Sepsis - Research network of the Heidelberg University and the University Medical Center Mannheim funded by the Klaus Tschira Foundation (2015 - 2020).
Collaborative Research Center SFB 873, "Maintenance and Differentiation of Stem Cells in Development and Disease" (principal investigator) (2010 - 2018).
Heidelberger Graduate School of Mathematical and Computational Methods for the Sciences
International PhD Programme: Mathematical Methods in Natural Sciences (MMNS) (2009 - 2014).
Polish Science Foundation

My research interests are:
Mathematical modelling in biology, especially different aspects of developmental and molecular biology, such as morphogenesis.
Mathematical modelling of pattern formation including informations on processes on micro-scale level.
Partial differential equations, in particular reaction-diffusion systems.
Mechanisms of pattern formation such as travelling waves, bistability, hysteresis and diffusion-driven instabilities.
Analysis and numerics of degenerate reaction-diffusion systems, i.e. reaction-diffusion equations coupled with ordinary differential equations (receptor-based models).
Modelling of tumour growth, spread and heterogeneity.
Multiscale analysis (homogenisation).
Spatial and stochastic effects of signaling systems in immunology (TNFa signaling system, RSV/VSV spread, role of interferon).
Structured models in biology.

My current research work is devoted to the following biological applications:
Self-organisation and regeneration in developmental biology systems (with Thomas Holstein).
Early carcinigenesis, role of growth factors and mutualism (with Marek Kimmel).
Stem cells differentiation, in partcular influence of the aging processes on the dynamics of stem cells and hematopoietic reconstitution after chemotherapy and transplantation of stem cells (with Wolfgang Wagner and Anthony Ho).
Influence of Heat Shock Proteins (HSPs) on neoplastic cell transformations (with Zuzanna Szymanska and Maciej Zylicz).
Dynamics of Tumour Necrosis Factor (TNF alpha) in macrophages (with Alexei Gratchev).
Innate immunity response and its influence on viral replication and spread in laboratory systems (with Marek Kimmel and Philipp Getto).