Geometric robustness theory and biological networks.

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Geometric robustness theory and biological networks. Abstract Text:

Nihat Ay,David C Krakauer,Nihat Ay,David C Krakauer,

We provide a geometric framework for investigating the robustness of information flows over biological networks. We use information measures to quantify the impact of knockout perturbations on simple networks. Robustness has two components, a measure of the causal contribution of a node or nodes, and a measure of the change or exclusion dependence, of the network following node removal. Causality is measured as statistical contribution of a node to network function, whereas exclusion dependence measures a distance between unperturbed network and reconfigured network function.We explore the role that redundancy plays in increasing robustness, and how redundacy can be exploited through error-correcting codes implemented by networks. We provide examples of the robustness measure when applied to familiar boolean functions such as the AND, OR and XOR functions. We discuss the relationship between robustness measures and related measures of complexity and how robustness always implies a minimal level of complexity.

Geometric robustness theory and biological networks. Publishing Authors By Initials

N Ay,DC Krakauer,N Ay,DC Krakauer,

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Geometric robustness theory and biological networks. Journal Published:

PUBLICATION TYPE: Journal Article

Journal: Theory in biosciences = Theorie in den Biowissensc

VOLUME: 125

Page Numbers: 93-121

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ISSN: 1431-7613

DAY: 2

MONTH: 08

YEAR: 2006

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LANGUAGE: eng

NlmUniqueID: 9708216

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Grant and Affiliation Information for Geometric robustness theory and biological networks.

AFFILIATION: Max Planck Institute for Mathematics in the Sciences, Inselstrasse 22, D-04103 Leipzig, Germany; Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA.

Country: Germany

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MEDLINETA: Theory Biosci

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