43 citations · 168 across the 35 of their papers we have counts for
5 papers · 1 filter
Biomolecular resource utilization in elementary cell-free gene circuits
Dan Siegal-Gaskins, Vincent Noireaux, Richard M. Murray
We present a detailed dynamical model of the behavior of transcription-translation circuits in vitro that makes explicit the roles played by essential molecular resources. A set of…
Noise Propagation in Biological and Chemical Reaction Networks
Dionysios Barmpoutis, Richard M. Murray
We describe how noise propagates through a network by calculating the variance of the outputs. Using stochastic calculus and dynamical systems theory, we study the network topologi…
Extremal Properties of Complex Networks
Dionysios Barmpoutis, Richard M. Murray
We describe the structure of connected graphs with the minimum and maximum average distance, radius, diameter, betweenness centrality, efficiency and resistance distance, given the…
Quantification and Minimization of Crosstalk Sensitivity in Networks
Dionysios Barmpoutis, Richard M. Murray
Crosstalk is defined as the set of unwanted interactions among the different entities of a network. Crosstalk is present in various degrees in every system where information is tra…
Networks with the Smallest Average Distance and the Largest Average Clustering
Dionysios Barmpoutis, Richard M. Murray
We describe the structure of the graphs with the smallest average distance and the largest average clustering given their order and size. There is usually a unique graph with the l…