Research Interests:
Professor Bortz's research lies at the intersection of applied mathematics and statistics and is motivated by questions of biological and medical significance. Currently active and funded research includes:
The application of model selection to post-therapy HIV infection dynamics and the development of general nonlinear model distinguishability and simulation accuracy criteria;
The analytical and numerical study of fragmentation and aggregation properties of flocculating bacterial communities
and their implications for optimum experimental design and clinical treatment of blood-borne infections;
the development of an accurate and rheologically valid numerical scheme to simulate the fracture and separation (under flow)
of a biofilm composed of bacterially-secreted visco-elastic polymer brushes;
The creation of a hierarchical systems biology model of the alternative complement pathway for in silico study of the pathway's role in sepsis;
the analysis of constraint-based metabolic flux models of green algae (C. reinhardtii) with the goal of improving its bio-hydrogen production efficiency;
A Bayesian and Inverse Problems approach to identify optimal gridpoint locations for solving Boundary Value Problem/Partial Differential Equations.
MathBio Group Page

David Bortz
North Carolina State University
Office: ECOT 234
Phone: (303) 492-7569
Email Website

Research Interests:
Probability Theory
Discrete Probability
Percolation and Random Graphs
Patterns in Random Strings
Random Walks on Random Environments
Graphical Models
Math Biology

Manuel Lladser
Ohio State University-Columbus
Office: ECOT 232
Phone: (303) 492-0694
Email Website

Research Interests:
Nonlinear Dynamics
Dynamics on Complex Networks
Structure of Networks
Cardiac Dynamics
Synchronization

Juan Restrepo
University of Maryland
Office: ECOT 241
Phone: (303) 735-5640
Email Website