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Chemical reaction networks (CRNs) formally model chemistry in a well-mixed solution. CRNs are widely used to describe information processing occurring in natural cellular regulatory networks, and with upcoming advances in synthetic biology,…

计算复杂性 · 计算机科学 2013-04-17 David Doty

Chemical reaction networks (CRNs) model the behavior of molecules in a well-mixed system. The emerging field of molecular programming uses CRNs not only as a descriptive tool, but as a programming language for chemical computation.…

计算复杂性 · 计算机科学 2015-09-04 Adam Case , Jack H. Lutz , D. M. Stull

We investigate the properties of large random conservative chemical reaction networks composed of elementary reactions endowed with either mass-action or saturating kinetics, assigning kinetic parameters in a thermodynamically-consistent…

分子网络 · 定量生物学 2014-11-26 Erwan Bigan , Jean-Marc Steyaert , Stéphane Douady

We investigate the thermodynamic implications of two control mechanisms of open chemical reaction networks. The first controls the concentrations of the species that are exchanged with the surroundings, while the other controls the exchange…

统计力学 · 物理学 2022-02-22 Francesco Avanzini , Massimiliano Esposito

Across many disciplines, chemical reaction networks (CRNs) are an established population model defined as a system of coupled nonlinear ordinary differential equations. In many applications, for example, in systems biology and epidemiology,…

系统与控制 · 电气工程与系统科学 2023-01-23 Kim G. Larsen , Daniele Toller , Mirco Tribastone , Max Tschaikowski , Andrea Vandin

At the microscopic scale, open chemical reaction networks are described by stochastic reactions that follow mass-action kinetics and are coupled to chemostats. We show that closed chemical reaction networks -- with specific stoichiometries…

分子网络 · 定量生物学 2025-06-30 Benedikt Remlein , Massimiliano Esposito , Francesco Avanzini

Inspired by Anderson et al. [J. R. Soc. Interface, 2014] we study the long-term behavior of discrete chemical reaction networks (CRNs). In particular, using techniques from both Petri net theory and CRN theory, we provide a powerful…

分布式、并行与集群计算 · 计算机科学 2015-06-16 Robert Brijder

Molecular computation based on chemical reaction networks (CRNs) has emerged as a promising paradigm for designing programmable biochemical systems. However, the implementation of complex computations still requires excessively large and…

分子网络 · 定量生物学 2025-06-17 Renlei Jiang , Yuzhen Fan , Di Fan , Chuanhou Gao , Denis Dochain

Reaction networks are commonly used to model the evolution of populations of species subject to transformations following an imposed stoichiometry. This paper focuses on the efficient characterisation of dynamical properties of Discrete…

离散数学 · 计算机科学 2013-07-15 Loïc Paulevé , Gheorghe Craciun , Heinz Koeppl

Non-equilibrium thermodynamics has long been an area of substantial interest to ecologists because most fundamental biological processes, such as protein synthesis and respiration, are inherently energy-consuming. Microbial communities are…

种群与进化 · 定量生物学 2022-01-19 Jacob Cook , Samraat Pawar , Robert G. Endres

A family of results, referred to as inheritance results, tell us which enlargements of a chemical reaction network (CRN) preserve its capacity for nontrivial behaviours such as multistationarity and oscillation. In this paper, the following…

动力系统 · 数学 2023-02-23 Murad Banaji

Reaction networks (RNs) comprise a set $X$ of species and a set $\mathscr{R}$ of reactions $Y\to Y'$, each converting a multiset of educts $Y\subseteq X$ into a multiset $Y'\subseteq X$ of products. RNs are equivalent to directed…

分子网络 · 定量生物学 2022-01-06 Stefan Müller , Christoph Flamm , Peter F. Stadler

Chemical reaction networks (CRNs) provide a convenient language for modelling a broad variety of biological systems. These models are commonly studied with respect to the time series they generate in deterministic or stochastic simulations.…

分子网络 · 定量生物学 2019-07-11 Ozan Kahramanoğulları

Cells generally convert external nutrient resources to support metabolismand growth. Understanding the thermodynamic efficiency of this conversion is essential to determine the general characteristics of cellular growth. Using a simple…

亚细胞过程 · 定量生物学 2015-06-19 Yusuke Himeoka , Kunihiko Kaneko

We investigate a broad family of non weakly reversible stochastically modeled reaction networks (CRN), by looking at their steady-state distributions. Most known results on stationary distributions assume weak reversibility and zero…

概率论 · 数学 2023-02-20 Linard Hoessly , Christian Mazza

We present a uniform method for translating an arbitrary nondeterministic finite automaton (NFA) into a deterministic mass action input/output chemical reaction network (I/O CRN) that simulates it. The I/O CRN receives its input as a…

计算复杂性 · 计算机科学 2018-12-27 Titus H. Klinge , James I. Lathrop , Jack H. Lutz

This article characterizes certain small multistationary chemical reaction networks. We consider the set of fully open networks, those for which all chemical species participate in inflow and outflow, containing one non-flow (reversible or…

动力系统 · 数学 2013-01-18 Badal Joshi

Stochastic evolution of Chemical Reactions Networks (CRNs) over time is usually analysed through solving the Chemical Master Equation (CME) or performing extensive simulations. Analysing stochasticity is often needed, particularly when some…

计算机科学中的逻辑 · 计算机科学 2015-09-11 Luca Laurenti , Luca Cardelli , Marta Kwiatkowska

Kinetic theory and thermodynamics of reaction networks are extended to the out-of-equilibrium dynamics of continuous-flow stirred tank reactors (CSTR) and serial transfers. On the basis of their stoichiometry matrix, the conservation laws…

统计力学 · 物理学 2018-04-24 Alex Blokhuis , David Lacoste , Pierre Gaspard

We study the composability of discrete chemical reaction networks (CRNs) that stably compute (i.e., with probability 0 of error) integer-valued functions $f:\mathbb{N}^d\to\mathbb{N}$. We consider output-oblivious CRNs in which the output…

分布式、并行与集群计算 · 计算机科学 2019-06-04 Eric E. Severson , David Haley , David Doty