Modeling and analysis of mass-action kinetics
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 …
dynamics of systems of chemical reactions, that is, reaction networks. These models are a …
The low-rank hypothesis of complex systems
Complex systems are high-dimensional nonlinear dynamical systems with heterogeneous
interactions among their constituents. To make interpretable predictions about their large …
interactions among their constituents. To make interpretable predictions about their large …
Method of invariant manifold for chemical kinetics
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 …
description for equations of chemical kinetics from the standpoint of the method of invariant …
An automatic chemical lumping method for the reduction of large chemical kinetic mechanisms
P Pepiot-Desjardins, H Pitsch - Combustion Theory and Modelling, 2008 - Taylor & Francis
A novel approach to the lumping of species in large chemical kinetic mechanisms is
presented. Species with similar composition and functionalities are lumped into one single …
presented. Species with similar composition and functionalities are lumped into one single …
Dynamic and static limitation in multiscale reaction networks, revisited
AN Gorban, O Radulescu - Advances in Chemical Engineering, 2008 - Elsevier
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 …
single step. This is the most popular approach for model simplification in chemical kinetics …
[图书][B] Reaction kinetics: exercises, programs and theorems
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 …
Péter Érdi on the mathematical models of chemical reactions. 1 Before and after writing that …
Closing the loop on bond selective chemistry using tailored strong field laser pulses
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 …
article. The control of chemical reactivity is now possible using tailored laser pulses to …
Robust simplifications of multiscale biochemical networks
Background Cellular processes such as metabolism, decision making in development and
differentiation, signalling, etc., can be modeled as large networks of biochemical reactions …
differentiation, signalling, etc., can be modeled as large networks of biochemical reactions …
Maximal aggregation of polynomial dynamical systems
L Cardelli, M Tribastone… - Proceedings of the …, 2017 - National Acad Sciences
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 …
understanding the dynamics of systems across many branches of science, but our ability to …
Forward and backward bisimulations for chemical reaction networks
We present two quantitative behavioral equivalences over species of a chemical reaction
network (CRN) with semantics based on ordinary differential equations. Forward CRN …
network (CRN) with semantics based on ordinary differential equations. Forward CRN …