247 citations · 665 across the 12 of their papers we have counts for
4 papers · 1 filter
Exact results for noise power spectra in linear biochemical reaction networks
Patrick B. Warren, Sorin Tanase-Nicola, Pieter Rein ten Wolde
We present a simple method for determining the exact noise power spectra in linear chemical reaction networks. We apply the method to networks which are representative of biochemic…
Finding the center reliably: robust patterns of developmental gene expression
Martin Howard, Pieter Rein ten Wolde
We investigate a mechanism for the robust identification of the center of a developing biological system. We assume the existence of two morphogen gradients, an activator emanating…
Simulating rare events in equilibrium or non-equilibrium stochastic systems
Rosalind J. Allen, Daan Frenkel, Pieter Rein ten Wolde
We present three algorithms for calculating rate constants and sampling transition paths for rare events in simulations with stochastic dynamics. The methods do not require a prior…
Signal detection, modularity and the correlation between extrinsic and intrinsic noise in biochemical networks
Sorin Tanase-Nicola, Patrick B. Warren, Pieter Rein ten Wolde
Understanding cell function requires an accurate description of how noise is transmitted through biochemical networks. We present an analytical result for the power spectrum of the…