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Enzyme catalysis in reactors for industrial applications usually require an external intervention of the species involved in the chemical reactions. We analyze the most elementary open enzyme catalysis with competitive inhibition where a…

Dynamical Systems · Mathematics 2024-06-11 Homero G. Díaz-Marín , José L. Sánchez-Ponce

The catalytic reaction system (CRS) formalism by Hordijk and Steel is a versatile method to model autocatalytic biochemical reaction networks. It is particularly suited, and has been widely used, to study self-sustainment and…

Molecular Networks · Quantitative Biology 2023-08-16 Dimitri Loutchko

Template directed replication of nucleic acids is at the essence of all living beings and a major milestone for any origin of life scenario. We here present an idealized model of prebiotic sequence replication, where binary polymers act as…

Molecular Networks · Quantitative Biology 2017-12-20 Harold Fellermann , Shinpei Tanaka , Steen Rasmussen

Chemical reaction networks describe interactions between biochemical species. Once an underlying reaction network is given for a biochemical system, the system dynamics can be modelled with various mathematical frameworks such as continuous…

Probability · Mathematics 2023-06-22 German Enciso , Radek Erban , Jinsu Kim

Power law systems have been studied extensively due to their wide-ranging applications, particularly in chemistry. In this work, we focus on power law systems that can be decomposed into stoichiometrically independent subsystems. We show…

Dynamical Systems · Mathematics 2024-04-23 Al Jay Lan J. Alamin , Bryan S. Hernandez

Diagrammatic models of feeding choices reveal fundamental robotic behaviors. Successful choices are reinforced by positive feedback, while unsuccessful ones by negative feedback. This paper will address robotic feeding by casually relating…

Robotics · Computer Science 2014-12-30 Christopher A. Tucker

In a recent paper it was shown that, for chemical reaction networks possessing a subtle structural property called concordance, dynamical behavior of a very circumscribed (and largely stable) kind is enforced, so long as the kinetics lies…

Molecular Networks · Quantitative Biology 2012-04-26 Guy Shinar , Martin Feinberg

Background: A metabolic genotype comprises all chemical reactions an organism can catalyze via enzymes encoded in its genome. A genotype is viable in a given environment if it is capable of producing all biomass components the organism…

Molecular Networks · Quantitative Biology 2010-04-16 Areejit Samal , Joao F. Matias Rodrigues , Jürgen Jost , Olivier C. Martin , Andreas Wagner

Chemical reactions occur in energy, environmental, biological, and many other natural systems, and the inference of the reaction networks is essential to understand and design the chemical processes in engineering and life sciences. Yet,…

Molecular Networks · Quantitative Biology 2021-01-22 Weiqi Ji , Sili Deng

A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations…

Dynamical Systems · Mathematics 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

Systems and Control · Computer Science 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan

We study the ability to maintain information in a population of reacting polymers under the influence of decay, i.e., spontaneous breakdown of large polymers. At a certain decay rate, it becomes impossible to maintain a significant…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Wim Hordijk , Jose F. Fontanari

Two alternative views of an economy are combined and studied. The first view is that of technological evolution as a process of combinatorial innovation. Recently a simple mathematical model (TAP) was introduced to study such a…

Molecular Networks · Quantitative Biology 2022-04-13 Wim Hordijk , Stuart Kauffman

In this paper, we derive two sufficient conditions to diagnose the persistence of two classes of delayed complex balanced chemical reaction network systems equipped with mass-action kinetics. One class is identified by $\dim…

Dynamical Systems · Mathematics 2019-08-23 Xiaoyu Zhang , Chuanhou Gao

Reaction networks are mathematical models of interacting chemical species that are primarily used in biochemistry. There are two modeling regimes that are typically used, one of which is deterministic and one that is stochastic. In…

Molecular Networks · Quantitative Biology 2018-09-14 David Anderson , Daniele Cappelletti

Autocatalysis is a fundamental concept, used in a wide range of domains. From the most general definition of autocatalysis, that is a process in which a chemical compound is able to catalyze its own formation, several different systems can…

Biomolecules · Quantitative Biology 2011-10-05 Raphaël Plasson , Axel Brandenburg , Ludovic Jullien , Hugues Bersini

The research concerns the dynamics of complex autonomous Kauffman networks. The article defines and shows using simulation experiments half-chaotic networks, which exhibit features much more similar to typically modeled systems like a…

Adaptation and Self-Organizing Systems · Physics 2022-01-14 Andrzej Gecow

Research investigating the origins of life usually focuses on exploring possible life-bearing chemistries in the pre-biotic Earth, or else on synthetic approaches. Little work has been done exploring fundamental issues concerning the…

Populations and Evolution · Quantitative Biology 2015-06-24 Christoph Adami

Thermodynamic constraints on reactions directions are inherent in the structure of a given biochemical network. However, concrete procedures for determining feasible reaction directions for large-scale metabolic networks are not well…

Molecular Networks · Quantitative Biology 2007-05-23 Feng Yang , Feng Qi , Daniel A. Beard

The directed polymerization of actin networks is an essential element of many biological processes, including cell migration. Different theoretical models considering the interplay between the underlying processes of polymerization, capping…

Subcellular Processes · Quantitative Biology 2013-04-16 Julian Weichsel , Krzysztof Baczynski , Ulrich S. Schwarz
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