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Tlusty, Tsvi
Living and Soft Matter Theory Group
Research Interests
  • Systems biology, non-equilibrium physics, physical biology, molecular information, proteins

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Evolution of Bow-Tie Architectures in Biology

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Title
Evolution of Bow-Tie Architectures in Biology
Author
Friedlander, TamarMayo, Avraham E.Tlusty, TsviAlon, Uri
Issue Date
201503
Publisher
PUBLIC LIBRARY SCIENCE
Citation
PLOS COMPUTATIONAL BIOLOGY, v.11, no.3, pp.1004055 -
Abstract
Bow-tie or hourglass structure is a common architectural feature found in many biological systems. A bow-tie in a multi-layered structure occurs when intermediate layers have much fewer components than the input and output layers. Examples include metabolism where a handful of building blocks mediate between multiple input nutrients and multiple output biomass components, and signaling networks where information from numerous receptor types passes through a small set of signaling pathways to regulate multiple output genes. Little is known, however, about how bow-tie architectures evolve. Here, we address the evolution of bow-tie architectures using simulations of multi-layered systems evolving to fulfill a given input-output goal. We find that bow-ties spontaneously evolve when the information in the evolutionary goal can be compressed. Mathematically speaking, bow-ties evolve when the rank of the input-output matrix describing the evolutionary goal is deficient. The maximal compression possible (the rank of the goal) determines the size of the narrowest part of the network—that is the bow-tie. A further requirement is that a process is active to reduce the number of links in the network, such as product-rule mutations, otherwise a non-bow-tie solution is found in the evolutionary simulations. This offers a mechanism to understand a common architectural principle of biological systems, and a way to quantitate the effective rank of the goals under which they evolved.
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DOI
http://dx.doi.org/10.1371/journal.pcbi.1004055
ISSN
1553-734X
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