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- W2971657894 abstract "Gene expression in individual cells is an inherently stochastic process with large fluctuations. Here we present a comprehensive analysis for stochastic gene expression kinetics in a minimal coupled gene circuit with positive-plus-negative feedback. Our theory unifies and generalizes the discrete and continuous gene expression models proposed previously by viewing the latter as various macroscopic limits of the former. Two types of macroscopic limits are obtained: the Kurtz limit applies to proteins with large burst frequencies and the Levy limit applies to proteins with large burst sizes. We also derive the analytic steady-state distributions of the protein abundance for both the discrete chemical master equation model and its two macroscopic limits. Furthermore, we obtain the analytic time-dependent distribution of the protein concentration for the classical Friedman-Cai-Xie random bursting model. Our analytic results reveal a strong synergistic interaction between positive and negative feedback loops and a critical phase-transition-like phenomenon in the regime of slow promoter switching. Our theory is also applied to study the intrinsic noise structure of stochastic gene expression in coupled gene circuits and a complete decomposition of noise in terms of five different biophysical origins is provided." @default.
- W2971657894 created "2019-09-12" @default.
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- W2971657894 date "2019-08-30" @default.
- W2971657894 modified "2023-09-23" @default.
- W2971657894 title "Macroscopic limits, analytical distributions, and noise structure for stochastic gene expression with coupled feedback loops" @default.
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