74 citations · 74 across the 4 of their papers we have counts for
6 papers · 1 filter
A Class of Stochastic Partial Differential Equations with Jumps in Fluid Dynamics: Large and Moderate Deviation Asymptotics
Arnab Ganguly, Padmanabhan Sundar
We establish large and moderate deviation principles for a broad class of nonlinear stochastic partial differential equations driven by multiplicative Poisson random measures in th…
Asymptotic Analysis of the Total Quasi-Steady State Approximation for the Michaelis--Menten Enzyme Kinetic Reactions
Arnab Ganguly, Wasiur R. KhudaBukhsh
We consider a stochastic model of the Michaelis-Menten (MM) enzyme kinetic reactions in terms of Stochastic Differential Equations (SDEs) driven by Poisson Random Measures (PRMs).…
Statistical inference for a multiscale stochastic model of enzyme kinetics via propagation of chaos
Arnab Ganguly, Wasiur R. KhudaBukhsh
We study a class of Stochastic Differential Equations (SDEs) with jumps modeling multistage Michaelis--Menten enzyme kinetics, in which a substrate is sequentially transformed into…
Large Deviations for Small Noise Diffusions in a Fast Markovian Environment
Amarjit Budhiraja, Paul Dupuis, Arnab Ganguly
A large deviation principle is established for a two-scale stochastic system in which the slow component is a continuous process given by a small noise finite dimensional Itô stoch…
Large deviation principle for stochastic integrals and stochastic differential equations driven by infinite-dimensional semimartingales
Arnab Ganguly
The paper concerns itself with establishing large deviation principles for a sequence of stochastic integrals and stochastic differential equations driven by general semimartingale…
Error analysis of tau-leap simulation methods
David F. Anderson, Arnab Ganguly, Thomas G. Kurtz
We perform an error analysis for numerical approximation methods of continuous time Markov chain models commonly found in the chemistry and biochemistry literature. The motivation…