The analysis of complex systems that have many interacting parts.
PEOPLE: Models of Conflict
We are applying concepts from the dynamics of physical systems to model the interactions between two or more people and then, as part of a team of social scientists, using social psychology laboratory experiments to test the predictions of those models. Liebovitch et al., 2008, Physica A387:6360-6378
GENES: Differentiation of Blood Stem Cells
We are using mathematical models of the interaction of genes (such as GATA1 and PU.1) to predict how changes in the levels of signaling proteins and gene expression lead to different cell fates from progenitor blood stem cells. These predictions will be tested by experiments to be done at the Institute for Stem Cell Research at the Helmholtz Center Munich, Germany.
DRUGS: Turning Deleterious Drug Interactions Into Useful Multidrug Therapies
Drugs designed for a specific target are always found to have multiple effects. We are exploring how to use computational methods to predict which combinations of drugs, whose effects interfere with each other, in just the right way, to produce more targeted results with fewer side effects. Liebovitch et al., 2007, Nonlinear Biomedical Physics, 1:11..
EPIDEMICS: Spread of Infectious Diseases
We are modeling the spatial and temporal transmission of infectious agents through geographically distributed "patches" of people. These models give insight into how diseases spread in response to natural and human created events. Rho et al., 2008, Phys. Letts. A372:5017-5025.
We are analyzing the prices of commodities from ancient Babylon and medieval England to determine if ancient economies functioned as supply and demand systems, like modern economies. The challenge here is how to analyze time series data when there are gaps of 70% to 95% in the data. Europhysics Letters 90:18004.
ARCHEOLOGY: Movements of People and the Spatial Distribution of their Artifacts
We are using new methods, based on fractals, to analyze and understand the migration patterns of people and the spatial distribution of their artifacts at archeological sites. Brown et al., 2005, J. Archaeological Method and Theory 12:37-78.