Statistical indicators of collective behavior and functional clusters in gene networks of yeast

Abstract.We analyze gene expression time-series data of yeast (S. cerevisiae) measured along two full cell-cycles. We quantify these data by using q-exponentials, gene expression ranking and a temporal mean-variance analysis. We construct gene interaction networks based on correlation coefficients and study the formation of the corresponding giant components and minimum spanning trees. By coloring genes according to their cell function we find functional clusters in the correlation networks and functional branches in the associated trees. Our results suggest that a percolation point of functional clusters can be identified on these gene expression correlation networks.

[1]  C. Furusawa,et al.  Zipf's law in gene expression. , 2002, Physical review letters.

[2]  M. A. de Menezes,et al.  Fluctuations in network dynamics. , 2004, Physical review letters.

[3]  Garth D. Stahl Campbell. , 2021, Tic.

[4]  G. Church,et al.  Systematic determination of genetic network architecture , 1999, Nature Genetics.

[5]  David Botstein,et al.  A systematic approach to reconstructing transcription networks in Saccharomyces cerevisiae , 2002, Proceedings of the National Academy of Sciences of the United States of America.

[6]  D. Balcan,et al.  Random model for RNA interference yields scale free network , 2003, q-bio/0310027.

[7]  S. N. Dorogovtsev,et al.  Evolution of networks , 2001, cond-mat/0106144.

[8]  G. Zipf,et al.  The Psycho-Biology of Language , 1936 .

[9]  Q. Ouyang,et al.  The yeast cell-cycle network is robustly designed. , 2003, Proceedings of the National Academy of Sciences of the United States of America.

[10]  C. Tsallis Possible generalization of Boltzmann-Gibbs statistics , 1988 .