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Mutation is introduced into autocatalytic reaction networks. Examples of low dimensional dynamical systems --- n = 2, 3 and 4 --- are discussed and complete qualitative analysis is presented. Error thresholds known from simple…

Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Autocatalysis was recently defined stoichiometrically for reaction networks; five types of minimal autocatalytic networks, termed autocatalytic cores were…

Molecular Networks · Quantitative Biology 2025-07-22 Praneet Nandan , Philippe Nghe , Jeremie Unterberger

Complex chemical reaction networks, which underlie many industrial and biological processes, often exhibit non-monotonic changes in chemical species concentrations, typically described using nonlinear models. Such non-monotonic dynamics are…

Adaptation and Self-Organizing Systems · Physics 2020-10-21 Zachary G. Nicolaou , Takashi Nishikawa , Schuyler B. Nicholson , Jason R. Green , Adilson E. Motter

This paper studies the adversarial robustness of conformal novelty detection. In particular, we focus on two powerful learning-based frameworks that come with finite-sample false discovery rate (FDR) control: one is AdaDetect (by Marandon…

Machine Learning · Statistics 2026-04-03 Daofu Zhang , Mehrdad Pournaderi , Hanne M. Clifford , Yu Xiang , Pramod K. Varshney

We develop a general classification of the nature of the instabilities yielding spatial organization in open nonideal reaction-diffusion systems, based on linear stability analysis. This encompasses dynamics where chemical species diffuse,…

Statistical Mechanics · Physics 2023-10-05 Timur Aslyamov , Francesco Avanzini , Étienne Fodor , Massimiliano Esposito

We explore how Demand Response (DR) can effectively provide electricity system services such as for the management of bi-directional power flows and the control of voltage deviations in active distribution networks, without compromising…

Systems and Control · Electrical Eng. & Systems 2023-12-01 Arsam Aryandoust

According to the chemical reaction network theory, the topology of a certain class of chemical reaction networks, regardless of the kinetic details, sets a limit on the dynamical properties that a particular network can potentially admit;…

Molecular Networks · Quantitative Biology 2014-08-21 Jaewook Joo , Sanjeev Chauhan

We study the effect of intrinsic noise on the thermodynamic balance of complex chemical networks subtending cellular metabolism and gene regulation. A topological network property called deficiency, known to determine the possibility of…

Molecular Networks · Quantitative Biology 2015-11-12 Matteo Polettini , Artur Wachtel , Massimiliano Esposito

The dynamics of a chemical reaction network (CRN) is often modelled under the assumption of mass action kinetics by a system of ordinary differential equations (ODEs) with polynomial right-hand sides that describe the time evolution of…

Dynamical Systems · Mathematics 2023-01-05 Radek Erban , Hye-Won Kang

An algorithm is given in this paper for the computation of dynamically equivalent weakly reversible realizations with the maximal number of reactions, for chemical reaction networks (CRNs) with mass action kinetics. The original problem…

Dynamical Systems · Mathematics 2011-07-05 Gabor Szederkenyi , Katalin M. Hangos , Zsolt Tuza

Background: A classical problem in metabolic design is to maximize the production of desired compound in a given chemical reaction network by appropriately directing the mass flow through the network. Computationally, this problem is…

Molecular Networks · Quantitative Biology 2011-10-28 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

Instances of negative mobility, where a system responds to a perturbation in a way opposite to naive expectation, have been studied theoretically and experimentally in numerous nonequilibrium systems. In this work we show that Absolute…

Statistical Mechanics · Physics 2018-03-14 J. Cividini , D. Mukamel , H. A. Posch

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

The trend to equilibrium for reaction-diffusion systems modelling chemical reaction networks is investigated, in the case when reaction processes happen on subsets of the domain. We prove the convergence to equilibrium by directly showing…

Analysis of PDEs · Mathematics 2024-12-17 Laurent Desvillettes , Kim Dang Phung , Bao Quoc Tang

Networks with absolute concentration robustness (ACR) have the property that a translation of a coordinate hyperplane either contains all steady states (static ACR) or attracts all trajectories (dynamic ACR). The implication for the…

Dynamical Systems · Mathematics 2022-06-22 Badal Joshi , Gheorghe Craciun

Retrosynthetic planning is a fundamental problem in chemistry for finding a pathway of reactions to synthesize a target molecule. Recently, search algorithms have shown promising results for solving this problem by using deep neural…

Machine Learning · Computer Science 2021-06-10 Junsu Kim , Sungsoo Ahn , Hankook Lee , Jinwoo Shin

Noise-delayed decay (NDD) phenomenon emerges when the first-spike latency of a periodically forced stochastic neuron exhibits a maximum for a particular range of noise intensity. Here, we investigate the latency response dynamics of a…

Neurons and Cognition · Quantitative Biology 2015-12-23 M. Uzuntarla , M. Ozer , U. Ileri , A. Calim , J. J. Torres

Chemical reaction networks (CRN) comprise an important class of models to understand biological functions such as cellular information processing, the robustness and control of metabolic pathways, circadian rhythms, and many more. However,…

Molecular Networks · Quantitative Biology 2025-03-25 Dimitri Loutchko , Yuki Sughiyama , Tetsuya J. Kobayashi

We explain the origin of the generation of discrete breathers (DBs) in experiments on damped and driven micromechanical cantilever arrays (M.Sato et al. Phys. Rev. Lett. {\bf 90}, 044102, 2003). Using the concept of the nonlinear response…

Other Condensed Matter · Physics 2010-09-08 P. Maniadis , S. Flach

Living systems have evolved to efficiently consume available energy sources using an elaborate circuitry of chemical reactions which, puzzlingly, bear a strict restriction to asymmetric chiral configurations. While autocatalysis is known to…

Chemical Physics · Physics 2022-05-25 William D. Piñeros , Tsvi Tlusty