Zobrazeno 1 - 10
of 37
pro vyhledávání: '"Kaihnsa, Nidhi"'
Autor:
Feliu, Elisenda, Kaihnsa, Nidhi
Phosphorylation networks, representing the mechanisms by which proteins are phosphorylated at one or multiple sites, are ubiquitous in cell signalling and display rich dynamics such as unlimited multistability. Dual-site phosphorylation networks are
Externí odkaz:
http://arxiv.org/abs/2405.16179
Autor:
Kaihnsa, Nidhi, Telek, Máté L.
The parameter region of multistationarity of a reaction network contains all the parameters for which the associated dynamical system exhibits multiple steady states. Describing this region is challenging and remains an active area of research. In th
Externí odkaz:
http://arxiv.org/abs/2403.16556
Publikováno v:
Eur. J. Appl. Math 35 (2024) 566-600
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
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
Multisite phosphorylation is a signaling mechanism well known to give rise to multiple steady states, a property termed multistationarity. When phosphorylation occurs in a sequential and distributive manner, we obtain a family of networks indexed by
Externí odkaz:
http://arxiv.org/abs/2206.08908
Autor:
Kaihnsa, Nidhi
This thesis develops various aspects of Algebraic Geometry and its applications in different fields of science. In Chapter 2 we characterise the feasible set of an optimisation problem relevant in chemical process engineering. We consider the polynom
Externí odkaz:
https://ul.qucosa.de/id/qucosa%3A34797
https://ul.qucosa.de/api/qucosa%3A34797/attachment/ATT-0/
https://ul.qucosa.de/api/qucosa%3A34797/attachment/ATT-0/
We consider a measure of cooperativity based on the minimal absolute interaction required to generate an observed titration behavior. We describe the corresponding algebraic optimization problem and show how it can be solved using the nonlinear algeb
Externí odkaz:
http://arxiv.org/abs/1906.10006
Publikováno v:
Revista de la Uni\'on Matem\'atica Argentina, 60 No.2 (2019), 637-662
We study the convex hulls of trajectories of polynomial dynamical systems. Such trajectories include real algebraic curves. The boundaries of the resulting convex bodies are stratified into families of faces. We present numerical algorithms for ident
Externí odkaz:
http://arxiv.org/abs/1810.03547
We introduce and study coordinate-wise powers of subvarieties of $\mathbb{P}^n$, i.e. varieties arising from raising all points in a given subvariety of $\mathbb{P}^n$ to the $r$-th power, coordinate by coordinate. This corresponds to studying the im
Externí odkaz:
http://arxiv.org/abs/1807.03295
Autor:
Kaihnsa, Nidhi
We present a mathematical definition for the attainable region of a dynamical system, with primary focus on mass action kinetics for chemical reactions. We characterise this region for linear dynamical systems, and we report on experiments and conjec
Externí odkaz:
http://arxiv.org/abs/1802.07298