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4 papers
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…