Bistability has important implications in signaling pathways, since it indicates a potential cell
decision between alternative outcomes. We present two approaches developed in the …

This work introduces a novel approach to study properties of positive equilibria of a chemical
reaction network NN endowed with Hill-type kinetics K, called a Hill-type kinetic (HTK) …

The quasi-steady state approximation and time-scale separation are commonly applied
methods to simplify models of biochemical reaction networks based on ordinary differential …

In this work we present a fast, globally convergent, iterative algorithm for computing the
asymptotically stable states of nonlinear large--scale systems of quadratic autonomous …

Two networks are said to be linearly conjugate if the solution of their dynamic equations can
be transformed into each other by a positive linear transformation. The study on dynamical …

The bottleneck in creating dynamic models of biological networks and processes often lies
in estimating unknown kinetic model parameters from experimental data. In this regard …

In this work, we present a fast, globally convergent, iterative algorithm for computing the
asymptotically stable states of nonlinear large-scale systems of quadratic autonomous …

One important question that interests those who work in chemical reaction network theory
(CRNT) is this: Does the system obtained from a reaction network admit a positive …

Recent work of Johnston et al. has produced sufficient conditions on the structure of a
chemical reaction network which guarantee that the corresponding discrete state space …

In this paper we show that the model form of a wide class of kinetic systems with rational
terms in the reaction rates is invariant under a positive linear diagonal transformation. Thus …