The interplay of mathematical modelling with experiments is one of the central elements in
systems biology. The aim of reverse engineering is to infer, analyse and understand …

This paper introduces the class of strongly endotactic networks, a subclass of the endotactic
networks introduced by Craciun, Nazarov, and Pantea. The main result states that the global …

Origin More than a quarter of a century ago the senior author (JT) published a book with
Péter Érdi on the mathematical models of chemical reactions. 1 Before and after writing that …

Background The inference of biological networks from high-throughput data has received
huge attention during the last decade and can be considered an important problem class in …

Dynamic models formulated as a set of ordinary differential equations provide a detailed
description of the time-evolution of a system. Such models of (bio) chemical reaction …

Very often, models in biology, chemistry, physics, and engineering are systems of
polynomial or power-law ordinary differential equations, arising from a reaction network …

Three Waves of Chemical Dynamics Page 1 “gorbanyablprefaceMMNP1” — 2015/8/10 —
20:32 — page 1 — #1 ✐ ✐ ✐ ✐ Math. Model. Nat. Phenom. Vol. 10, No. 5, 2015, pp. 1–5 DOI …

Mass-action kinetics is frequently used in systems biology to model the behavior of
interacting chemical species. Many important dynamical properties are known to hold for …

Under suitable assumptions, the dynamic behaviour of a chemical reaction network is
governed by an autonomous set of polynomial ordinary differential equations over …

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 …