68 citations · 101 across the 6 of their papers we have counts for
7 papers
Effects of cell cycle noise on excitable gene circuits
Alan Veliz-Cuba, Chinmaya Gupta, Matthew R. Bennett +2
We assess the impact of cell cycle noise on gene circuit dynamics. For bistable genetic switches and excitable circuits, we find that transitions between metastable states most lik…
A scale-free method for testing the proportionality of branch lengths between two phylogenetic trees
Yichen Zheng, William Ott, Chinmaya Gupta +1
We introduce a scale-free method for testing the proportionality of branch lengths between two phylogenetic trees that have the same topology and contain the same set of taxa. This…
Modeling delay in genetic networks: From delay birth-death processes to delay stochastic differential equations
Chinmaya Gupta, José Manuel López, Robert Azencott +3
Delay is an important and ubiquitous aspect of many biochemical processes. For example, delay plays a central role in the dynamics of genetic regulatory networks as it stems from t…
Entrance Time and Rényi Entropy
Chinmaya Gupta, Nicolai Haydn, Milton Ko +1
For ergodic systems with generating partitions, the well known result of Ornstein and Weiss shows that the exponential growth rate of the recurrence time is almost surely equal to…
Transcriptional delay stabilizes bistable gene networks
Chinmaya Gupta, José Manuel López, William Ott +2
Transcriptional delay can significantly impact the dynamics of gene networks. Here we examine how such delay affects bistable systems. We investigate several stochastic models of b…
Statistical properties of coupled expanding maps on a lattice with general infinite range couplings and Hölder densities
Chinmaya Gupta, Nicolai Haydn
We continue the development of transfer operator techniques for expanding maps on a lattice coupled by general interaction functions. We obtain a spectral gap for an appropriately…