81 citations · 185 across the 3 of their papers we have counts for
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Spectral solutions to stochastic models of gene expression with bursts and regulation
Andrew Mugler, Aleksandra M. Walczak, Chris H. Wiggins
Signal-processing molecules inside cells are often present at low copy number, which necessitates probabilistic models to account for intrinsic noise. Probability distributions hav…
A stochastic spectral analysis of transcriptional regulatory cascades
Aleksandra M. Walczak, Andrew Mugler, Chris H. Wiggins
The past decade has seen great advances in our understanding of the role of noise in gene regulation and the physical limits to signaling in biological networks. Here we introduce…
Self consistent proteomic field theory of stochastic gene switches
Aleksandra M. Walczak, Masaki Sasai, Peter G. Wolynes
We present a self-consistent field approximation to the problem of the genetic switch composed of two mutually repressing/activating genes. The protein and DNA state dynamics are t…