My primary research area is computational neuroscience, focusing on the variability/fluctuations of cortical neural network activity and dynamics with sensory inputs. With theoretical investigations, there are mathematical issues in: developing numerical methods to solve probability density equations, large-scale (Monte-Carlo) simulations, as well as applied analysis to describe these complicated stochastic systems. A variety of models are used for different purposes because there is a wide range of biological complexity. I have worked on: noisy neural oscillators, spiking stochastic networks, detailed biophysical cellular modeling with an excursion to cardiac dynamics, and questions about coding of sensory signals. See some current projects and publications.
VCU has a SIAM Student Chapter. I am currently the faculty advisor, email me if you are intersted in participating!
Considering a Ph.D. in Applied Mathematics? VCU has a Ph.D. program in Systems Modeling and Analysis. See sysm.vcu.edu for more information.
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