4 citations · 11 across the 10 of their papers we have counts for
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Bounds on stationary moments in stochastic chemical kinetics
Khem Raj Ghusinga, Cesar A. Vargas-Garcia, Andrew Lamperski +1
In the stochastic formulation of chemical kinetics, the stationary moments of the population count of species can be described via a set of linear equations. However, except for so…
Effect of gene-expression bursts on stochastic timing of cellular events
Khem Raj Ghusinga, Abhyudai Singh
Gene expression is inherently a noisy process which manifests as cell-to-cell variability in time evolution of proteins. Consequently, events that trigger at critical threshold lev…
Conditions for cell size homeostasis: A stochastic hybrid systems approach
César Augusto Vargas-García, Mohammad Soltani, Abhyudai Singh
A ubiquitous feature of living cells is their growth over time followed by division into daughter cells. How isogenic cell populations maintain size homeostasis, i.e., a narrow dis…
Cell-cycle coupled expression minimizes random fluctuations in gene product levels
Mohammad Soltani, Abhyudai Singh
Expression of many genes varies as a cell transitions through different cell-cycle stages. How coupling between stochastic expression and cell cycle impacts cell-to-cell variabilit…
Moment dynamics for a class of time-triggered stochastic hybrid systems
Mohammad Soltani, Abhyudai Singh
Stochastic Hybrid Systems (SHS) constitute an important class of mathematical models that integrate discrete stochastic events with continuous dynamics. The time evolution of stati…