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Colloquium March 16

Date: Friday March 16

Time: 16:00 to 17:00

Place: 455 McBryde (Commons Room)

Speaker: Miroslav Stoyanov of the Math Department and Elena Dimitrova of Clemson University

Title: Control of Fluid Flow

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Conjecturing Variable Dependencies in Biochemical Networks

Abstract

Feedback control is considered for incompressible fluid flow. The Navier-Stokes partial differential equations are discretized to obtain a differential algebraic approximation to the fluid flow. We look at optimal control for differential algebraic equations and numerically efficient methods for finding the feedback gain.

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The interactions among proteins, DNA, and RNA in living cells constitute molecular networks of activations and inhibitions that govern various cellular functions. Understanding these networks of interactions is one of the major challenges for modern biology and it is an area in which mathematics can offer valuable tools. The high complexity of the networks requires effective computational models. With such models, the study of network interactions in the cell translates into a study of the variable dependencies in a mathematical model. The talk will introduce a method for generating polynomial models of biochemical networks from experimental data and conjecturing variable dependencies based on the different models that fit the data. The approach is based on the relative frequency with which each variable appears in the polynomials of the models and produces excellent results even with small amounts of data.

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