Departmental Papers (ESE)

Document Type

Conference Paper

Date of this Version

12-9-2008

Comments

August, E.; Papachristodoulou, A.; Recht, B.; Roberts, M.; Jadbabaie, A., "Determining interconnections in biochemical networks using linear programming," 47th IEEE Conference on Decision and Control, 2008. (CDC 2008), pp.3311-3316, 9-11 Dec. 2008 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?arnumber=4739286&isnumber=4738560

Copyright 2008 IEEE. Reprinted from Proceedings of the 47th IEEE Conference on Decision and Control, 2008 (CDC 2008), pp.3311-3316, 9-11 Dec. 2008

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Abstract

We present a methodology for efficient, robust determination of the interaction topology of networked dynamical systems using time series data collected from experiments, under the assumption that these networks are sparse, i.e., have much less edges than the full graph with the same vertex set. To achieve this, we minimize the 1-norm of the decision variables while keeping the data in close Euler fit, thus putting more emphasis on determining the interconnection pattern rather than the closeness of fit. First, we consider a networked system in which the interconnection strength enters in an affine way in the system dynamics. We demonstrate the ability of our method to identify a network structure through numerical examples. Second, we extend our approach to the case of gene regulatory networks, in which the system dynamics are much more complicated.

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Date Posted: 21 May 2009