Error Bound for Hill-Function Approximations in a Class of Stochastic Transcriptional Network Models

D Hirsch, TW Grunberg… - 2023 62nd IEEE …, 2023 - ieeexplore.ieee.org
Hill functions are often used in stochastic models of gene regulation to approximate the
dependence of gene activity on the concentration of the transcription factor (TF) that …

Solutions to the Minimum Variance Problem Using Delaunay Triangulation

A Strang - SIAM Journal on Discrete Mathematics, 2020 - SIAM
We consider the problem of minimizing the variance of a distribution supported on a finite set
of points Ω in R^n given the expected value of the distribution. This produces the distribution …

The Enhanced Finite State Projection algorithm, using conditional moment closure and time-scale separation

U Kwon, M Naghnaeian… - 2020 59th IEEE …, 2020 - ieeexplore.ieee.org
The Chemical Master Equation (CME) is commonly used to describe the stochastic behavior
of biomolecular systems. However, in general, the CME's dimension is very large or infinite …