Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Stochastic Oscillations in Genetic Regulatory Networks: Application to Microarray Experiments | Hindawi Publishing Corporation EURASIP Journal on Bioinformatics and Systems Biology Volume 2006 Article ID 59526 Pages 1-12 DOI BSB 2006 59526 Stochastic Oscillations in Genetic Regulatory Networks Application to Microarray Experiments Simon Rosenfeld Division of Cancer Prevention Biometry Research Group National Cancer Institute Bethesda MD 20892 USA Received 19 January 2006 Revised 26 June 2006 Accepted 27 June 2006 Recommended for Publication by Yue Wang We analyze the stochastic dynamics of genetic regulatory networks using a system of nonlinear differential equations. The system of S-functions is applied to capture the role of RNA polymerase in the transcription-translation mechanism. Using probabilistic properties of chemical rate equations we derive a system of stochastic differential equations which are analytically tractable despite the high dimension of the regulatory network. Using stationary solutions of these equations we explain the apparently paradoxical results of some recent time-course microarray experiments where mRNA transcription levels are found to only weakly correlate with the corresponding transcription rates. Combining analytical and simulation approaches we determine the set of relationships between the size of the regulatory network its structural complexity chemical variability and spectrum of oscillations. In particular we show that temporal variability of chemical constituents may decrease while complexity of the network is increasing. This finding provides an insight into the nature of functional determinism of such an inherently stochastic system as genetic regulatory network. Copyright 2006 Simon Rosenfeld. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use distribution and reproduction in any medium provided the original work is properly cited. 1. INTRODUCTION According to the central dogma in molecular biology the genetic regulatory process involves .
