- Dr. Bortz's research is focused on the development and analysis of mathematical models of complex biological, environmental, and medical systems. In particular, he is developing models for the fragmentation of bacterial aggregates. A deeper understanding of the separation mechanism could lead to improvements in bioreactor design for wastewater treatment as well as therapies for blood-borne infections. A part of Dr. Bortz's research at the intersection of biology and mathematics involves experimental design. And, he has a research project which uses experimental design methods to generate accurate meshes for solving PDE models of physical systems.