Zobrazeno 1 - 10
of 192
pro vyhledávání: '"Shiu, Anne"'
Autor:
Puente, Luis David García, Gross, Elizabeth, Harrington, Heather A, Johnston, Matthew, Meshkat, Nicolette, Millán, Mercedes Pérez, Shiu, Anne
Motivated by the question of how biological systems maintain homeostasis in changing environments, Shinar and Feinberg introduced in 2010 the concept of absolute concentration robustness (ACR). A biochemical system exhibits ACR in some species if the
Externí odkaz:
http://arxiv.org/abs/2401.00078
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 concentration robustness (ACR), which means that some species concentration is th
Externí odkaz:
http://arxiv.org/abs/2307.04186
We investigate six operations on chemical reaction networks, all of which have been proven to preserve important dynamical properties, namely, the capacity for nondegenerate multistationarity (multiple steady states) and periodic orbits. Both multist
Externí odkaz:
http://arxiv.org/abs/2305.19410
Autor:
McClure, Allison, Shiu, Anne
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 parameters for which a parametrized family of polynomial equations admits t
Externí odkaz:
http://arxiv.org/abs/2303.03960
For reaction networks arising in systems biology, the capacity for two or more steady states, that is, multistationarity, is an important property that underlies biochemical switches. Another property receiving much attention recently is absolute con
Externí odkaz:
http://arxiv.org/abs/2301.10337
Autor:
McClure, Allison, Shiu, Anne
Publikováno v:
In Journal of Symbolic Computation November-December 2024 125
We introduce new geometric and combinatorial criteria that preclude a neural code from being convex, and use them to tackle the classification problem for codes on six neurons. Along the way, we give the first example of a code that is non-convex, ha
Externí odkaz:
http://arxiv.org/abs/2108.04995
Identifiability of linear compartmental tree models and a general formula for input-output equations
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 inferred from noiseless data -- directly from the combinatorics of the mode
Externí odkaz:
http://arxiv.org/abs/2106.08487
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. Mathematically, this means that the positive part of the variety of the ste
Externí odkaz:
http://arxiv.org/abs/2105.00109
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 represent the transfer of substances in a system. We analyze what happens
Externí odkaz:
http://arxiv.org/abs/2102.04417