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Research Interests
Partial Differential Equations, Integro-differential Equations, Singularly Perturbed Problems, Markov Processes and Applications in Kinetic Theory, Biology and Medicine



Research Support
Grant "Nieskończenie-wymiarowe układy dynamiczne - asymptotyka, stabilność i chaos" ("Infinitely dimensional dynamical systems - asymptotics, stability and chaos"), N N201 605640, 2011 - 2014
Grant "Matematyczne podstawy opisów wieloskalowych" ("Mathematical foundation of the multi-scale descriptions"), N N201 362536, 2009 - 2012
Joint research grant under the South Africa-Poland Agreement on Cooperation in Science and Technology: UID 69188 Dynamical Systems and Kinetic models in Biomathematics, 2009 - 2010
Co-ordinator of the Polish Team of European Research Training Network "Modeling, Mathematical Methods and Computer Simulation of Tumour Growth and Therapy" MRTN-CT-2004-503661 , June 2004 - May 2008
Co-ordinator of the Polish Team of European Research Training Network (HPRN-CT-2000-00105) "Using Mathematical Modelling and Computer Simulation to Improve Cancer Therapy", June 2000 - November 2003
Various Polish KBN grants, e.g. "Analiza asymptotyczna układów kinetycznych" (2P03A00717), "Równania kinetyczne II" (2P03A02311), "Metody matematyczne w immunologii" (2P30105206), "Równania kinetyczne I" (2P301032706)



Supervisor of Ph.D. Theses
Marek Bodnar, University of Warsaw - "Properties of the solution to DDE versus properties of the solution to ODE" (graduated in 2001)
Sławomir Jagodziński, Technical University of Łódź (graduated in 2003, the award with distinction)
Remigiusz Kowalczyk (co-supervisor with Professor L. Preziosi), Politecnico di Torino, Italy (graduated in 2005)
Cristian Morales Rodrigo, University of Warsaw - "Analysis of some systems of partial differential equations describing cellular movement" (graduated in 2008)
Andrea Quartarone (co-supervisor with Professor V. Ciancio), Università di Messina, Italy - "Stability of solutions of some mesoscopic equations in Biomathematics" (graduated in 2014)



Member of Editorial Boards
Mathematical Methods in the Applied Sciences (John Wiley and Sons, Inc.)
Abstract and Applied Analysis (Hindawi Publishing Corporation)
Journal of Applied Mathematics (Hindawi Publishing Corporation)
Advances in Modern Oncology Research (PiscoMed Publishing Pte Ltd)
Folia Mathematica (Acta Universitatis Lodziensis)
Opuscula Mathematica (AGH University, Faculty of Applied Mathematics)
Series on Advances in Mathematics for Applied Sciences (World Scientific)
Matematyka Stosowana (Applied Mathematics) (Annals of the Polish Mathematical Society)