Evolutionary design of oscillatory genetic networks |
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Authors: | Y Kobayashi T Shibata Y Kuramoto and A S Mikhailov |
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Institution: | (1) Department of Economics, Kyung Hee University, Seoul, 130-701, South Korea;(2) Department of Economics, Barnard College, Columbia University, 3009 Broadway, New York, NY 10027, USA |
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Abstract: | The present study is devoted to the design and statistical investigations of
dynamical gene expression networks. In our model problem, we aim to design
genetic networks which would exhibit stable periodic oscillations with a
prescribed temporal period. While no rational solution of this problem is
available, we show that it can be effectively solved by running a computer
evolution of the network models. In this process, structural rewiring
mutations are applied to the networks with inhibitory interactions between
genes and the evolving networks are selected depending on whether, after a
mutation, they closer approach the targeted dynamics. We show that, by using
this method, networks with required oscillation periods, varying by up
to three orders of magnitude, can be constructed by changing the
architecture of regulatory connections between the genes. Statistical
properties of designed networks, including motif distributions and
Laplacian spectra, are considered. |
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Keywords: | |
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