Mathematics
Research interests
- analysis of nonlinear partial differential equations
- mathematical modeling of cell migration in structured environments
- cytostatic and cytotoxic chemotherapies, development of resistance to chemotherapy
- dynamics of microtubule growth, collapse and nucleation
- drug release kinetics of matrix tablets
- diffusion of proteins in cells and membranes
Publications
- [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. to appear (2008), .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
- [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 limitproperties of isotropic convex bodies. (with U. Brehm, H. Vogt, and J.Voigt), Math. Z. 240 (2002), p. 37-51 .ps .pdf
Theses, Preprints, 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
Recent talks
- 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