Publications

Author(s) Title Source Links
Model based design of biochemical micro-reactors. Frontiers in Bioengineering and Biotechnology. (2016) 4 (13) [doi] [www] [BibTex]
Homogenization of reaction-diffusion processes in a two-component porous medium with nonlinear flux conditions at the interface. SIAM Journal on Applied Mathematics. (2015) accepted. [BibTex]
Systems of Populations with Multiple Structures: Modelling and Analysis. Journal of Dynamics and Differential Equations (JDDE). (2015) 1-15. [doi] [BibTex]
An ALE approach to mechano-chemical processes in fluid-structure interactions. I. J. Num. Meth. Fluids. (2015) submitted. [BibTex]
Simulation of Processes in Living Cells: Towards the Modelling of Metabolic Channeling. In A. Ibrahimbegovic and J.-M. Ghidaglia and A. Serdarevic and E. Ilic-Georgijevic and M. Hrasnica and S. Dolarevic and N. Ademovic (Eds.) 2nd International Conference on Multi-scale Computational Methods for Solids and Fluids (2015) 44-47. [www] [BibTex]
Mathematical modeling and simulation of the evolution of plaques in blood vessels. Journal of Mathematical Biology. (2015) 1-24. [doi] [www] [BibTex]
Derivation of an effective model for metabolic processes in living cells including substrate channeling. Vietnam Journal of Mathematics. (2015) submitted. [doi] [BibTex]
Homogenization of a variational inequality for the Laplace operator with nonlinear restriction for the flux on the interior boundary of a perforated domain. Nonlinear Analysis: Real World Applications. (2014) 15 367–380. [doi] [www] [BibTex]
Homing to the Niche: A Mathematical Model Describing the Chemotactic Migration of Hematopoietic Stem Cells. In G. Ajmone-Marsan and M. Delitala (Eds.) Managing Complexity: Modeling Biological Systems, 1st Kepler Prize Workshop of the European Academy of Sciences (EURASC), Heidelberg, May 2011 (2014) [www] [BibTex]
Homogenization of a pore scale model for precipitation and dissolution in porous media. IMA Journal of Applied Mathematics. (2014) (submitted). [BibTex]
Multiscale problems in science and technology. Challenges to mathematical analysis and perspectives. Nonlinear Analysis: Real World Applications. (2014) 15 (1) 263-265. [doi] [www] [BibTex]
Effective slip law for general viscous flows over an oscillating surface. Mathematical Methods in the Applied Sciences. (2013) 36 (15) 2086–2100. [doi] [www] [BibTex]
Analysis of a Free Boundary Problem Modeling Thrombus Growth. SIAM Journal on Mathematical Analysis. (2013) 45 (2) 809–833. [doi] [www] [BibTex]
Mathematical modeling and simulation of flow in domains separated by leaky semipermeable membrane including osmotic effect. Applications of Mathematics. (2011) 56 (1) 51–68. [doi] [www] [BibTex]
Homogenization Limit of a Model System for Interaction of Flow, Chemical Reactions, and Mechanics in Cell Tissues. SIAM Journal on Mathematical Analysis. (2011) 43 (3) 1390–1435. [doi] [www] [BibTex]
Scale limit of a variational inequality modeling diffusive flux in a domain with small holes and strong adsorption in case of a critical scaling. Doklady Mathematics. (2011) 83 (2) 204–208. [doi] [www] [BibTex]
Homogenization of the diffusion equation with nonlinear flux condition on the interior boundary of a perforated domain — the influence of the scaling on the nonlinearity in the effective sink-source term. Journal of Mathematical Sciences. (2011) 179 (3) 446–459. [doi] [www] [BibTex]
Homogenization limit for the diffusion equation with nonlinear flux condition on the boundary of very thin holes periodically distributed in a domain, in case of a critical size. Doklady Mathematics. (2010) 82 (2) 736–740. [doi] [www] [BibTex]
A multiscale Galerkin approach for a class of nonlinear coupled reaction–diffusion systems in complex media. Journal of Mathematical Analysis and Applications. (2010) 371 (2) 705–718. [doi] [www] [BibTex]
Multiscale analysis and simulation of a reaction–diffusion problem with transmission conditions. Nonlinear Analysis: Real World Applications. (2010) 11 (6) 4572–4585. [doi] [www] [BibTex]
Analysis of Differential Equations Modelling the Reactive Flow through a Deformable System of Cells. Archive for Rational Mechanics and Analysis. (2009) 192 (2) 331–374. [doi] [www] [BibTex]
Modelling and analysis for the interaction of flow, chemical reactions and mechanics in cell tissue. Oberwolfach Reports. (2009) 24 1325–1328. [BibTex]
Derivation and analysis of a system modeling the chemotactic movement of hematopoietic stem cells. Journal of Mathematical Biology. (2008) 56 (5) 579–610. [doi] [www] [BibTex]
Multiscale Analysis of Processes in Complex Media. In Jäger, Willi and Rannacher, Rolf and Warnatz, Jürgen (Eds.) Reactive Flows, Diffusion and Transport (2007) 531–553. [doi] [www] [BibTex]
Effective transmission conditions for reaction-diffusion processes in domains separated by an interface. SIAM Journal on Mathematical Analysis. (2007) 39 (3) 687–720. [BibTex]
Effective laws for the Poisson equation on domains with curved oscillating boundaries. Applicable Analysis. (2006) 85 (5) 479–502. [doi] [www] [BibTex]
A mathematical model for stroma controlled chemotaxis of hematopoietic stem cells. Oberwolfach Reports. (2006) 24 1443–1446. [BibTex]
Homogenization of thin porous layers and applications to ion transport through channels of biological membranes. Oberwolfach Reports. (2005) 49 2809–2812. [BibTex]
The Failure of Uniform Exponential Decay for Boundary Layers. In N. Antonić and C.J. Duijn and W. Jäger and A. Mikelić (Eds.) Multiscale Problems in Science and Technology (2002) 243–250. [doi] [www] [BibTex]
The boundary behavior of a composite material. ESAIM: Mathematical Modelling and Numerical Analysis. (2001) 35 407–435. [doi] [www] [BibTex]