tailieunhanh - Báo cáo hóa học: " Research Article Origins of Stochasticity and Burstiness in High-Dimensional Biochemical Networks"

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: Research Article Origins of Stochasticity and Burstiness in High-Dimensional Biochemical Networks | Hindawi Publishing Corporation EURASIP Journal on Bioinformatics and Systems Biology Volume 2009 Article ID 362309 14 pages doi 2009 362309 Research Article Origins of Stochasticity and Burstiness in High-Dimensional Biochemical Networks Simon Rosenfeld Division of Cancer Prevention DCP National Cancer Institute EPN 3108 6130 Executive Blvd Bethesda MO 20892 USA Correspondence should be addressed to Simon Rosenfeld rosenfes@ Received 5 February 2008 Accepted 24 April 2008 Recommended by D. Repsilber Two major approaches are known in the field of stochastic dynamics of intracellular biochemical networks. The first one places the focus of attention on the fact that many biochemical constituents vitally important for the network functionality may be present only in small quantities within the cell and therefore the regulatory process is essentially discrete and prone to relatively big fluctuations. The second approach treats the regulatory process as essentially continuous. Complex pseudostochastic behavior in such processes may occur due to multistability and oscillatory motions within limit cycles. In this paper we outline the third scenario of stochasticity in the regulatory process. This scenario is only conceivable in high-dimensional highly nonlinear systems. In particular we show that burstiness a well-known phenomenon in the biology of gene expression is a natural consequence of high dimensionality coupled with high nonlinearity. In mathematical terms burstiness is associated with heavy-tailed probability distributions of stochastic processes describing the dynamics of the system. We demonstrate how the shot noise originates from purely deterministic behavior of the underlying dynamical system. We conclude that the limiting stochastic process may be accurately approximated by the heavy-tailed generalized Pareto process which is a direct mathematical expression of burstiness. Copyright 2009 Simon Rosenfeld. This is an open access article .

TÀI LIỆU LIÊN QUAN
crossorigin="anonymous">
Đã phát hiện trình chặn quảng cáo AdBlock
Trang web này phụ thuộc vào doanh thu từ số lần hiển thị quảng cáo để tồn tại. Vui lòng tắt trình chặn quảng cáo của bạn hoặc tạm dừng tính năng chặn quảng cáo cho trang web này.