7 citations · 14 across the 8 of their papers we have counts for
11 papers
Moment analysis of linear time-varying dynamical systems with renewal transitions
Mohammad Soltani, Abhyudai Singh
Stochastic dynamics of several systems can be modeled via piecewise deterministic time evolution of the state, interspersed by random discrete events. Within this general class of…
Linear piecewise-deterministic Markov processes with families of random discrete events
Mohammad Soltani, Abhyudai Singh
We consider a class of piecewise-deterministic Markov processes where the state evolves according to a linear dynamical system. This continuous time evolution is interspersed by di…
Control design and analysis of a stochastic network control system
Mohammad Soltani, Abhyudai Singh
A Network Control System (NCS) consists of control components that interact with the plant over a shared network. The system dynamics of a NCS could be subject to noise arising fro…
Approximate moment dynamics for polynomial and trigonometric stochastic systems
Khem Raj Ghusinga, Mohammad Soltani, Andrew Lamperski +2
Stochastic dynamical systems often contain nonlinearities which make it hard to compute probability density functions or statistical moments of these systems. For the moment comput…
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…
Decomposing variability in protein levels from noisy expression, genome duplication and partitioning errors during cell-divisions
Mohammad Soltani, Cesar Augusto Vargas-Garcia, Duarte Antunes +1
Inside individual cells, expression of genes is inherently stochastic and manifests as cell-to-cell variability or noise in protein copy numbers. Since proteins half-lives can be c…
Stochastic Analysis Of An Incoherent Feedforward Genetic Motif
Thierry Platini, Mohammad Soltani, Abhyudai Singh
Gene products (RNAs, proteins) often occur at low molecular counts inside individual cells, and hence are subject to considerable random fluctuations (noise) in copy number over ti…
Moment Closure Approximations in a Genetic Negative Feedback Circuit
Mohammad Soltani, Cesar Vargas, Niraj Kumar +2
Auto-regulation, a process wherein a protein negatively regulates its own production, is a common motif in gene expression networks. Negative feedback in gene expression plays a cr…
Nonspecific transcription factor binding reduces variability in transcription factor and target protein expression
Mohammad Soltani, Pavol Bokes, Zachary Fox +1
Transcription factors (TFs) interact with a multitude of binding sites on DNA and partner proteins inside cells. We investigate how nonspecific binding/unbinding to such decoy bind…