Mathematics

Research interests

• dynamics of bacterial infections of arthropods
• cytostatic and cytotoxic chemotherapies of cancer
• development of resistance to chemotherapy
• dynamics of microtubule growth, collapse and nucleation
• drug release kinetics of matrix tablets
• cell migration in structured environments
• diffusion of nuclear proteins

Publications

• [12] Structured and unstructured continuous models for Wolbachia infections (with J. Z. Farkas), submitted (2009) .pdf
• [11] On a size-structured two-phase population model with infinite states-at-birth (with J. Z. Farkas), submitted (2009) .pdf
• [10] A continuous model for microtubule dynamics with catastrophe, rescue and nucleation processes (with V. Rezania and J. A. Tuszynski), Phys. Rev. E to appear (2009) .pdf
• [9] Predicting the drug release kinetics of matrix tablets (with B. Baeumer, L. Chatterjee, T. Rades, A. Radunskaya and I. Tucker), Discr. Contin. Dyn. Sys. B 12 (2009), p. 261-277 .pdf
• [8] A spatial model of tumor-host interaction: application of chemotherapy (with P. Gerlee, L. J. McCawley, V. Quaranta, M. Ciobanu, S. Wang, J. M. Graham, B. P. Ayati, J. Claridge, K. R. Swanson, M. Loveless and A. R. A. Anderson), Math. Biosci. Eng. 6 (2009), p. 521-545 .pdf
  The matlab implementation of the model is available here .
• [7] Mathematical analysis of a kinetic model for cell movement in network tissues (with T. Hillen and Z. Wang), submitted (2009) .pdf
• [6] Analysis of a model for transfer phenomena in biological populations (with F. Le Foll, P. Magal, and G. F. Webb), SIAM J. Appl. Math. 70 (2009), p. 40-62 .pdf
• [5] A mathematical model quantifies proliferation and motility effects of TGF-β on cancer cells (with S. E. Wang, N. Bryce, A. M. Weaver, L. Estrada, C. L. Arteaga and G. F. Webb), Comput. Math. Methods Med. 10 (2009), p. 71-83 .pdf
• [4] A mathematical model separates quantitatively the cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor (with S. E. Wang, C. L. Arteaga and G. F. Webb), Theor. Biol. Med. Model. 4 (2007), 14 .pdf
  Matlab codes used in the paper can be found here .
• [3] Molecular seismology: An inverse problem in nanobiology (with E. M. Boczko), J. Theor. Biol. 246 (2006), p. 145-158 .pdf
• [2] The DNA binding activity of p53 displays reaction-diffusion kinetics. (with C. Rogers, C. E. Barbieri, J. A. Pietenpol, A. K. Kenworthy and E. DiBenedetto), Biophys. J. 91 (2006), p. 330-342 .pdf
  The matlab codes for analysis of FRAP data are available here .
• [1] Moment inequalities and central limit properties of isotropic convex bodies. (with U. Brehm, H. Vogt, and J.Voigt), Math. Z. 240 (2002), p. 37-51 .ps .pdf

Theses, Seminar papers

• Partial differential equation models for intranuclear diffusion, inverse problems in nanobiology and cell cycle specific effects of anticancer drugs, Dissertation, Vanderbilt University, 2007 .pdf
• Moment inequalities and central limit properties of isotropic convex bodies, Diploma Thesis, Dresden University of Technology, 2000 (in German) .ps
• Schauder's fixed-point theorem, Seminar paper, 1998 (in German) .ps
• Deterministic patterns in pseudorandom point sets, (with M. Potuzník), Workshop paper, 1997 .pdf

Upcoming conferences of interest to me

• International Conference of Mathematical Sciences, August 4-10, 2009, Istanbul, Turkey
• Mathematical Methods in Systems Biology, January 4-7, 2010, Tel Aviv, Israel
• Optimal Configurations on the Sphere and Other Manifolds, May 17-20, 2010, Nashville, TN, USA
• 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications, May 25-28, 2010, Dresden, Germany
• Computational and Mathematical Population Dynamics, May 31-June 4, 2010, Bordeaux, France

Recent talks

• On a size-structured two-phase population model with infinite states-at-birth (Shanks conference, Vanderbilt University, Nashville, TN) .pdf
• Predicting the drug release kinetics of matrix tablets (IMA postdoc seminar) .pdf
• A spatial model of tumor-host interaction: Application of chemotherapy (INRIA Rocquencourt, France) .pdf
• A continuous model for microtubule dynamics (University of Paris VI "Pierre et Marie Curie") .pdf
• Transfer phenomena in biological populations (CIRM Luminy, Marseille, France) .pdf
• Proliferation and motility effects of TGF-β (1st Joint AMS/NZMS meeting, Wellington, New Zealand) .pdf
• Cytostatic and cytotoxic effects of a HER2 tyrosine kinase inhibitor (IFIP 23, Cracow, Poland) .pdf
• Molecular seismology (ICIAM 07, Zürich, Switzerland) .pdf
• DNA binding activity of p53 (SEARCDE 26, Greensboro, NC) .pdf

My former Departments of Mathematics
Dresden University of Technology
Vanderbilt University

My current institution
Institute for Mathematics and its Applications

German Mathematical Society