I am interested in a number of
topics in applied mathematics. Most of these concern applications of
the theory of deterministic and stochastic dynamical systems to
problems in neuroscience, systems biology and evolution. Here are
a few projects that I am currently working on with my students
Developing mathematical
models of synthetic gene circuits.
Quantifying the impact of
correlated on the information that neural tissue carries about a
stimulus.
Propagation of correlated
behavior through neuronal networks of different types.
Model reduction techniques
for large signaling networks.
Modeling of cancer
radiovirotherapy, and the use of hybrid numerical methods in stochastic
simulations of populations of widely different sizes