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Our research efforts are organized around the general theme of first
understanding the dynamic behavior of complex systems through mathematical
modeling and analysis, and then exploiting this understanding for novel
designs and improved operation. The particular complex systems of interest
range from polymer reactors, particulate processes and extruders, to
biological systems on the cellular, tissue, and organ levels. When
sufficient fundamental knowledge is available, we develop and employ
dynamic “mechanistic” models; when more data is available than fundamental
knowledge, we apply probability theory and statistics for efficient data
acquisition and “empirical” model development. Our research group has
three main areas of focus: 1. Control and systems theory, where we are
concerned with the development of effective control techniques, with
application to industrial polymer reactors, distillation columns,
particulate processes, and reactive extrusion processes; we are also
interested in reverse engineering biological control systems for process
applications. 2. Systems biology, where we bring principles of control and
systems theory as well as probabilistic/statistical techniques to bear on
the analysis of biological processes. We are developing models, tools and
techniques to study biological systems across various levels of
granularity—from the molecular level where mechanistic details at the
genetic and protein levels are studied, to the cellular, tissue, organ and
physiological system level. The goals of our systems biology efforts are
to be able to understand, analyze and predict integrated biological
systems function with sufficient fidelity for potential practical medical
and pharmaceutical applications. 3. Product engineering, Process design
and operations, where we employ both stochastic and deterministic
techniques for engineering desired characteristics into products, and
subsequently for developing inherently robust processes to manufacture
these products to meet customer demands consistently in the face of
unavoidable process and raw material variations. "
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