53 citations · 157 across the 21 of their papers we have counts for
5 papers · 1 filter
Structured Projection-Based Model Reduction with Application to Stochastic Biochemical Networks
Aivar Sootla, James Anderson
The Chemical Master Equation (CME) is well known to provide the highest resolution models of a biochemical reaction network. Unfortunately, even simulating the CME can be a challen…
Properties of Isostables and Basins of Attraction of Monotone Systems
Aivar Sootla, Alexandre Mauroy
In this paper, we investigate geometric properties of monotone systems by studying their isostables and basins of attraction. Isostables are boundaries of specific forward-invarian…
Operator-Theoretic Characterization of Eventually Monotone Systems
Aivar Sootla, Alexandre Mauroy
Monotone systems are dynamical systems whose solutions preserve a partial order in the initial condition for all positive times. It stands to reason that some systems may preserve…
Properties of Eventually Positive Linear Input-Output Systems
Aivar Sootla
In this paper, we consider the systems with trajectories originating in the nonnegative orthant becoming nonnegative after some finite time transient. First we consider dynamical s…
On Monotonicity and Propagation of Order Properties
Aivar Sootla
In this paper, a link between monotonicity of deterministic dynamical systems and propagation of order by Markov processes is established. The order propagation has received consid…