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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

Motivation: A Chemical Reaction Network (CRN) is a set of chemical reactions, which can be very complex and difficult to analyze. Indeed, dynamical properties of CRNs can be described by a set of non-linear differential equations that…

Computational Engineering, Finance, and Science · Computer Science 2021-07-02 Lucia Nasti , Roberta Gori , Paolo Milazzo , Federico Poloni

In systems biology, it is common to measure biochemical entities at different levels of the same biological system. One of the central problems for the data fusion of such data sets is the heterogeneity of the data. This thesis discusses…

Genomics · Quantitative Biology 2019-08-27 Yipeng Song

A dynamical system obtains a wide variety of kinetic realizations, which is advantageous for the analysis of biochemical systems. A reaction network, derived from a dynamical system, may or may not possess some properties needed for a…

Molecular Networks · Quantitative Biology 2024-05-01 Dylan Antonio Talabis , Eduardo Mendoza

Motivated by recent progress on the interplay between graph theory, dynamics, and systems theory, we revisit the analysis of chemical reaction networks described by mass action kinetics. For reaction networks possessing a thermodynamic…

Optimization and Control · Mathematics 2012-06-19 Arjan van der Schaft , Shodhan Rao , Bayu Jayawardhana

We propose a numerical technique for parameter inference in Markov models of biological processes. Based on time-series data of a process we estimate the kinetic rate constants by maximizing the likelihood of the data. The computation of…

Quantitative Methods · Quantitative Biology 2011-02-15 Aleksandr Andreychenko , Linar Mikeev , David Spieler , Verena Wolf

For the investigation of chemical reaction networks, the identification of all relevant intermediates and elementary reactions is mandatory. Many algorithmic approaches exist that perform explorations efficiently and automatedly. These…

Chemical Physics · Physics 2019-05-24 Gregor N. Simm , Alain C. Vaucher , Markus Reiher

We introduce KiNetX, a fully automated meta-algorithm for the kinetic analysis of complex chemical reaction networks derived from semi-accurate but efficient electronic structure calculations. It is designed to (i) accelerate the automated…

Chemical Physics · Physics 2019-01-11 Jonny Proppe , Markus Reiher

Stochastic reaction network models are widely utilized in biology and chemistry to describe the probabilistic dynamics of biochemical systems in general, and gene interaction networks in particular. Most often, statistical analysis and…

Quantitative Methods · Quantitative Biology 2017-10-18 Eugenio Cinquemani

A reaction network is a chemical system involving multiple reactions and chemical species. Stochastic models of such networks treat the system as a continuous time Markov chain on the number of molecules of each species with reactions as…

Probability · Mathematics 2007-05-23 Karen Ball , Thomas G. Kurtz , Lea Popovic , Greg Rempala

Autocatalytic Sets are reaction networks theorised as networks at the basis of life. Their main feature is the ability of spontaneously emerging and self-reproducing. The Reflexively and Food-generated theory provides a formal definition of…

Molecular Networks · Quantitative Biology 2020-10-19 Alessandro Ravoni

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

Recent advances in biochemical computing, i.e., information processing with cascades of primarily enzymatic reactions realizing computing gates, such as AND, OR, etc., as well as progress in networking these gates and coupling of the…

Biological Physics · Physics 2010-10-12 Vladimir Privman , Evgeny Katz , Joseph Wang

Chemical reaction network theory is a field of applied mathematics concerned with modeling chemical systems, and can be used in other contexts such as in systems biology to study cellular signaling pathways or epidemiology to study the…

Algebraic Geometry · Mathematics 2024-06-17 Maize Curiel , Elise Farr , Galileo Fries , Luis David García Puente , Julian Hutchins , Vuong Nguyen Hoang

We present a data-driven verification approach that determines whether or not a given chemical reaction network (CRN) satisfies a given property, expressed as a formula in a modal logic. Our approach consists of three phases, integrating…

Computational Engineering, Finance, and Science · Computer Science 2020-04-24 Gareth W. Molyneux , Viraj B. Wijesuriya , Alessandro Abate

Interacting biological systems at all organizational levels display emergent behavior. Modeling these systems is made challenging by the number and variety of biological components and interactions (from molecules in gene regulatory…

Molecular Networks · Quantitative Biology 2023-10-20 Jordan C. Rozum , Colin Campbell , Eli Newby , Fatemeh Sadat Fatemi Nasrollahi , Reka Albert

Rapid discovery of new reactions and molecules in recent years has been facilitated by the advancements in high throughput screening, accessibility to a much more complex chemical design space, and the development of accurate molecular…

Molecular Networks · Quantitative Biology 2023-03-28 Vipul Mann , Venkat Venkatasubramanian

The inherent behavioral variability exhibited by stochastic biochemical systems makes it a challenging task for human experts to manually analyze them. Computational modeling of such systems helps in investigating and predicting the…

Quantitative Methods · Quantitative Biology 2020-01-14 Arfeen Khalid

Gene expression-based heterogeneity analysis has been extensively conducted. In recent studies, it has been shown that network-based analysis, which takes a system perspective and accommodates the interconnections among genes, can be more…

Methodology · Statistics 2023-08-09 Rong Li , Qingzhao Zhang , Shuangge Ma

Biochemical reactions involving three or more reactants, called higher-molecular reactions, play an important role in theoretical systems and synthetic biology. In particular, such reactions underpin a variety of important bio-dynamical…

Molecular Networks · Quantitative Biology 2021-01-05 Tomislav Plesa