Download Research interests My current research interests focus on three

Research interests
My current research interests focus on three topics: Connection patterns of biological
networks, Extreme value distributions, and Telemetry using filtering techniques.
Understanding the influence of long distance neuronal connections in circadian
oscillations is one of my main goals. Recently popularized notion of small world
networks is thought to explain faster than anticipated synchronization of circadian
cell oscillations. However, since it is generally believed that these long distance
interconnections occur at random, a fundamental understanding of how they help, is
being sought after. We derived expressions for dominant eigenvalues of transient
dynamics as random variables, and used the theory of extreme value statistics to
estimate the relevant parameters. We are currently in process of advancing this
theory. Study focuses on general oscillatory dynamical systems modelled after
random graphs and working on deriving formulas for the probability distribution of
the first two eigenvalues. Networks of interest are those that occur in life sciences,
e.g. cortical oscillations, life cycles in ecological systems with weak connections such
as playa networks in the Southern Great Plains, and in engineering, e.g. large scale
microelectromechanical or nanomechanical networks.