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Reaction networks are systems in which the populations of a finite number of species evolve through predefined interactions. Such networks are found as modeling tools in many biological disciplines such as biochemistry, ecology,…

Molecular Networks · Quantitative Biology 2015-06-15 Ankit Gupta , Corentin Briat , Mustafa Khammash

Self-assembly in natural and synthetic molecular systems can create complex aggregates or materials whose properties and functionality rises from their internal structure and molecular arrangement. The key microscopic features that control…

Soft Condensed Matter · Physics 2021-09-03 Alberto Scacchi , Maria Sammalkorpi , Tapio Ala-Nissila

Living systems operate far from thermodynamic equilibrium. Enzymatic activity can induce broken detailed balance at the molecular scale. This molecular scale breaking of detailed balance is crucial to achieve biological functions such as…

Biological Physics · Physics 2018-05-02 F. Gnesotto , F. Mura , J. Gladrow , C. P. Broedersz

Bond graphs can be used to build thermodynamically-compliant hierarchical models of biomolecular systems. As bond graphs have been widely used to model, analyse and synthesise engineering systems, this paper suggests that they can play the…

Molecular Networks · Quantitative Biology 2016-06-06 Peter Gawthrop , Edmund Crampin

Biological regulatory networks depend upon chemical interactions to process information. Engineering such molecular computing systems is a major challenge for synthetic biology and related fields. The chemical reaction network (CRN) model…

Emerging Technologies · Computer Science 2020-09-23 Cameron Chalk , Niels Kornerup , Wyatt Reeves , David Soloveichik

Information processing relying on biochemical interactions in the cellular environment is essential for biological organisms. The implementation of molecular computational systems holds significant interest and potential in the fields of…

Dynamical Systems · Mathematics 2023-12-01 Yuzhen Fan , Xiaoyu Zhang , Chuanhou Gao , Denis Dochain

The development of chemical reaction models aids understanding and prediction in areas ranging from biology to electrochemistry and combustion. A systematic approach to building reaction network models uses observational data not only to…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Nikhil Galagali , Youssef M. Marzouk

We discuss a characterization of complexity based on successive approximations of the probability density describing a system by means of maximum entropy methods, thereby quantifying the respective role played by different orders of…

Cellular Automata and Lattice Gases · Physics 2014-08-05 Gregor Chliamovitch , Bastien Chopard , Lino Velasquez

The stochastic kinetics of BRN are described by a chemical master equation (CME) and the underlying laws of mass action. The CME must be usually solved numerically by generating enough traces of random reaction events. The resulting…

Molecular Networks · Quantitative Biology 2023-06-21 Pavel Loskot

The discerning behavior of living systems relies on accurate interactions selected from the lot of molecular collisions occurring in the cell. To ensure the reliability of interactions, binding partners are classically envisioned as finely…

Molecular Networks · Quantitative Biology 2016-09-28 Denis Michel , Benjamin Boutin , Philippe Ruelle

Reaction networks are widely used models to describe biochemical processes. Stochastic fluctuations in the counts of biological macromolecules have amplified consequences due to their small population sizes. This makes it necessary to favor…

Probability · Mathematics 2022-02-28 Daniele Cappelletti , Badal Joshi

There is an abundance of complex dynamic systems that are critical to our daily lives and our society but that are hardly understood, and even with today's possibilities to sense and collect large amounts of experimental data, they are so…

This document presents a combinatorial framework for analyzing assembly systems using generating functions. We explore the theory through concrete examples, such as linear polymers, and develop recursive equations to characterize valid…

Combinatorics · Mathematics 2025-01-22 Andrés Ortiz-Muñoz

Reconstruction of biochemical reaction networks is a central topic in systems biology which raises crucial theoretical challenges in system identification. Nonlinear Ordinary Differential Equations (ODEs) that involve polynomial and…

Systems and Control · Computer Science 2016-11-18 Wei Pan , Ye Yuan , Guy-Bart Stan

In bacterial populations, cells are able to cooperate in order to yield complex collective functionalities. Interest in population-level cellular behaviour is increasing, due to both our expanding knowledge of the underlying biological…

Multiagent Systems · Computer Science 2012-11-07 Angel Goni-Moreno , Martyn Amos

Effectively modeling phenomena present in highly nonlinear dynamical systems whilst also accurately quantifying uncertainty is a challenging task, which often requires problem-specific techniques. We present a novel, domain-agnostic…

Machine Learning · Statistics 2021-10-26 Thomas M. McDonald , Mauricio A. Álvarez

A complex system is a system composed of many interacting parts, often called agents, which displays collective behavior that does not follow trivially from the behaviors of the individual parts. Examples include condensed matter systems,…

Statistical Mechanics · Physics 2011-12-08 M. E. J. Newman

Many cellular behaviors are regulated by gene regulation networks, kinetics of which is one of the main subjects in the study of systems biology. Because of the low number molecules in these reacting systems, stochastic effects are…

Quantitative Methods · Quantitative Biology 2011-04-26 Jinzhi Lei

Embedding efficient command operation into biochemical system has always been a research focus in synthetic biology. One of the key problems is how to sequence the chemical reactions that act as units of computation. The answer is to design…

Dynamical Systems · Mathematics 2022-09-08 Xiaopeng Shi , Chuanhou Gao

Reversibility, weak reversibility and deficiency, detailed and complex balancing are generally not "encoded" in the kinetic differential equations but they are realization properties that may imply local or even global asymptotic stability…

Molecular Networks · Quantitative Biology 2011-05-11 Gabor Szederkenyi , Katalin M. Hangos
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