Perturbed and Permuted: Signal Integration in Network-Structured Dynamic Systems
Abstract
Biological systems (among others) may respond to a large variety of distinct external stimuli, or signals. These perturbations will generally be presented to the system not singly, but in various combinations, so that a proper understanding of the system response requires assessment of the degree to which the effects of one signal modulate the effects of another. This paper develops a pair of structural metrics for sparse differential equation models of complex dynamic systems and demonstrates that said metrics correlate with proxies of the susceptibility of one signal-response to be altered in the context of a second signal. One of these metrics may be interpreted as a normalized arc density in the neighborhood of certain influential nodes; this metric appears to correlate with increased independence of signal response.
Keywords
Cite
@article{arxiv.1106.4600,
title = {Perturbed and Permuted: Signal Integration in Network-Structured Dynamic Systems},
author = {Dennis Wylie},
journal= {arXiv preprint arXiv:1106.4600},
year = {2011}
}