8 citations · 30 across the 11 of their papers we have counts for
14 papers
Multi-type -Wright--Fisher processes with polynomial drift: Bernstein duality, long-term behaviour, and simulation of moments
Sebastian Hummel
The -type -Wright--Fisher process with polynomial drift is a Lévy-type process on the -dimensional unit simplex whose generator entails a particular jump and diffusive…
Disconnectivity in Multistationarity Regions of Cascade of Goldbeter--Koshland Loops
Nidhi Kaihnsa, Kaizhang Wang
Dynamics of reaction networks is often modelled by parameterised polynomials and describing the set of parameters for which the system attains multiple positive equilibrium states…
Algebraic Distance Optimization in Polyhedral Norms
Eliana Duarte, Nidhi Kaihnsa, Julia Lindberg +2
We consider the distance minimization problem to a real algebraic variety $X \subseteq \RR^n$ when the metric is induced by a polyhedral norm. Each point in the variety has a Voron…
Network reduction and absence of Hopf Bifurcations in dual phosphorylation networks with three Intermediates
Elisenda Feliu, Nidhi Kaihnsa
Phosphorylation networks, representing the mechanisms by which proteins are phosphorylated at one or multiple sites, are ubiquitous in cell signalling and display rich dynamics suc…
Connectivity of Parameter Regions of Multistationarity for Multisite Phosphorylation Networks
Nidhi Kaihnsa, Máté L. Telek
The parameter region of multistationarity of a reaction network contains all the parameters for which the associated dynamical system exhibits multiple steady states. Describing th…
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…
Prevalence of multistationarity and absolute concentration robustness in reaction networks
Badal Joshi, Nidhi Kaihnsa, Tung D. Nguyen +1
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 switch…
Parameter region for multistationarity in site phosphorylation networks
Elisenda Feliu, Nidhi Kaihnsa, Timo de Wolff +1
Multisite phosphorylation is a signaling mechanism well known to give rise to multiple steady states, a property termed multistationarity. When phosphorylation occurs in a sequenti…
The kinetic space of multistationarity in dual phosphorylation
E. Feliu, N. Kaihnsa, T. de Wolff +1
Multistationarity in molecular systems underlies switch-like responses in cellular decision making. Determining whether and when a system displays multistationarity is in general a…
Cooperativity, Absolute Interaction, and Algebraic Optimization
Nidhi Kaihnsa, Yue Ren, Mohab Safey El Din +1
We consider a measure of cooperativity based on the minimal absolute interaction required to generate an observed titration behavior. We describe the corresponding algebraic optimi…
Computing Convex Hulls of Trajectories
Daniel Ciripoi, Nidhi Kaihnsa, Andreas Löhne +1
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 strati…
Coordinate-wise Powers of Algebraic Varieties
Papri Dey, Paul Görlach, Nidhi Kaihnsa
We introduce and study coordinate-wise powers of subvarieties of , i.e. varieties arising from raising all points in a given subvariety of to the -t…
Attainable Regions of Dynamical Systems
Nidhi Kaihnsa
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…
Sixty-Four Curves of Degree Six
Nidhi Kaihnsa, Mario Kummer, Daniel Plaumann +2
We present a computational study of smooth curves of degree six in the real projective plane. In the Rokhlin-Nikulin classification, there are 56 topological types, refined into 64…