81 citations · 163 across the 14 of their papers we have counts for
15 papers
Linear Lyapunov Functions for Nonlinear Compartmental Systems
Sondre Wiersdalen, Mike Pereira, Annika Lang +3
This technical note examines exponential stability of the null solution to a large class of compartmental systems governed by ordinary differential equations. Sufficient conditions…
Persistence and stability of generalized ribosome flow models with time-varying transition rates
G. Szederkenyi, M. A. Vaghy
In this paper the qualitative dynamical properties of so-called generalized ribosome flow models are studied. Ribosome flow models known from the literature are generalized by allo…
Persistence and stability of a class of kinetic compartmental models
G. Szederkenyi, B. Acs, Gy. Liptak +1
In this paper we show that the dynamics of a class of kinetic compartmental models with bounded capacities, monotone reaction rates and a strongly connected interconnection structu…
Computation of COVID-19 epidemiological data in Hungary using dynamic model inversion
Balazs Csutak, Peter Polcz, Gabor Szederkenyi
In this paper, we estimate epidemiological data of the COVID-19 pandemic in Hungary using only the daily number of hospitalized patients, and applying well-known techniques from sy…
Realizations of kinetic differential equations
G. Craciun, M. D. Johnston, G. Szederkényi +3
The induced kinetic differential equation of a reaction network endowed with mass action type kinetics is a system of polynomial differential equations. The problem studied here is…
A computational approach to the structural analysis of uncertain kinetic systems
Bernadett Ács, Gergely Szlobodnyik, Gábor Szederkényi
A computation-oriented representation of uncertain kinetic systems is introduced and analysed in this paper. It is assumed that the monomial coefficients of the ODEs belong to a po…
Semistability of complex balanced kinetic systems with arbitrary time delays
György Lipták, Katalin M. Hangos, Mihály Pituk +1
In this letter we introduce a class of delayed kinetic systems derived from mass action type reaction network models. We define the time delayed positive stoichiometric compatibili…
Computing all possible graph structures describing linearly conjugate realizations of kinetic systems
Bernadett Acs, Gabor Szederkenyi, Zsolt Tuza +1
In this paper an algorithm is given to determine all possible structurally different linearly conjugate realizations of a given kinetic polynomial system. The solution is based on…
Uniqueness of feasible equilibria for mass action law (MAL) kinetic systems
Antonio A. Alonso, Gabor Szederkenyi
This paper studies the relations among system parameters, uniqueness, and stability of equilibria, for kinetic systems given in the form of polynomial ODEs. Such models are commonl…
Computing Weakly Reversible Linearly Conjugate Chemical Reaction Networks with Minimal Deficiency
Matthew D. Johnston, David Siegel, Gábor Szederkényi
Mass-action kinetics is frequently used in systems biology to model the behaviour of interacting chemical species. Many important dynamical properties are known to hold for such sy…
A Linear Programming Approach to Weak Reversibility and Linear Conjugacy of Chemical Reaction Networks
Matthew D. Johnston, David Siegel, Gábor Szederkényi
A numerically effective procedure for determining weakly reversible chemical reaction networks that are linearly conjugate to a known reaction network is proposed in this paper. Th…
Finding weakly reversible realizations of chemical reaction networks using optimization
Gabor Szederkenyi, Katalin M. Hangos, Zsolt Tuza
An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction network…
Computing weakly reversible realizations of chemical reaction networks
Gabor Szederkenyi, Katalin M. Hangos, Zsolt Tuza
An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction network…
Finding complex balanced and detailed balanced realizations of chemical reaction networks
Gabor Szederkenyi, Katalin M. Hangos
Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properti…
Maximal and minimal realizations of reaction kinetic systems: computation and properties
Gabor Szederkenyi, Katalin M. Hangos, Tamas Peni
This paper presents new results about the optimization based generation of chemical reaction networks (CRNs) of higher deficiency. Firstly, it is shown that the graph structure of…