Complex systems are high-dimensional nonlinear dynamical systems with heterogeneous
interactions among their constituents. To make interpretable predictions about their large …

Mass-action kinetics are used in chemistry and chemical engineering to describe the
dynamics of systems of chemical reactions, that is, reaction networks. These models are a …

In this paper, we review the construction of low-dimensional manifolds of reduced
description for equations of chemical kinetics from the standpoint of the method of invariant …

A novel approach to the lum** of species in large chemical kinetic mechanisms is
presented. Species with similar composition and functionalities are lumped into one single …

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 …

The concept of the limiting step gives the limit simplification: the whole network behaves as a
single step. This is the most popular approach for model simplification in chemical kinetics …

Strong field, closed-loop control of gas-phase photochemical reactivity is the focus of this
article. The control of chemical reactivity is now possible using tailored laser pulses to …

Background Cellular processes such as metabolism, decision making in development and
differentiation, signalling, etc., can be modeled as large networks of biochemical reactions …

Ordinary differential equations (ODEs) with polynomial derivatives are a fundamental tool for
understanding the dynamics of systems across many branches of science, but our ability to …

We present two quantitative behavioral equivalences over species of a chemical reaction
network (CRN) with semantics based on ordinary differential equations. Forward CRN …