111 citations · 273 across the 31 of their papers we have counts for
20 papers · 1 filter
Absolute Concentration Robustness and Multistationarity in Reaction Networks: Conditions for Coexistence
Nidhi Kaihnsa, Tung Nguyen, Anne Shiu
Many reaction networks arising in applications are multistationary, that is, they have the capacity for more than one steady state; while some networks exhibit absolute concentrati…
Deficiency of chemical reaction networks: The effect of operations that preserve multistationarity and periodic orbits
Awildo Gutierrez, Elijah Leake, Caelyn Rivas-Sobie +2
We investigate six operations on chemical reaction networks, all of which have been proven to preserve important dynamical properties, namely, the capacity for nondegenerate multis…
On the connectedness of multistationarity regions of small reaction networks
Allison McClure, Anne Shiu
A multistationarity region is the part of a reaction network's parameter space that gives rise to multiple steady states. Mathematically, this region consists of the positive param…
Identifiability of linear compartmental tree models and a general formula for input-output equations
Cashous Bortner, Elizabeth Gross, Nicolette Meshkat +2
A foundational question in the theory of linear compartmental models is how to assess whether a model is structurally identifiable -- that is, whether parameter values can be infer…
Absolute concentration robustness in networks with low-dimensional stoichiometric subspace
Nicolette Meshkat, Anne Shiu, Angélica Torres
A reaction system exhibits "absolute concentration robustness" (ACR) in some species if the positive steady-state value of that species does not depend on initial conditions. Mathe…
Identifiability of Linear Compartmental Models: The Impact of Removing Leaks and Edges
Patrick Chan, Katherine Johnston, Anne Shiu +2
A mathematical model is identifiable if its parameters can be recovered from data. Here, we focus on a particular class of model, linear compartmental models, which are used to rep…