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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

A type system combining type application, constants as types, union types (associative, commutative and idempotent) and recursive types has recently been proposed for statically typing path polymorphism, the ability to define functions that…

Logic in Computer Science · Computer Science 2020-06-30 Juan Edi , Andrés Viso , Eduardo Bonelli

Machine-learning models in chemistry - when based on descriptors of atoms embedded within molecules - face essential challenges in transferring the quality of predictions of local electronic structures and their associated properties across…

Chemical Physics · Physics 2024-09-27 Frederik Ø. Kjeldal , Janus J. Eriksen

The evolution of chemical reaction networks is often analyzed through kinetic models and energy landscapes, but these approaches fail to capture the deeper structural constraints governing complexity growth. In chemical reaction networks,…

Molecular Networks · Quantitative Biology 2025-04-22 Anderson M. Rodriguez

The probability distribution describing the state of a Stochastic Reaction Network evolves according to the Chemical Master Equation (CME). It is common to estimated its solution using Monte Carlo methods such as the Stochastic Simulation…

Quantitative Methods · Quantitative Biology 2015-06-18 Benjamin Hepp , Ankit Gupta , Mustafa Khammash

A verification method for distributed systems based on decoupling forward and backward behaviour is proposed. This method uses an event structure based algorithm that, given a CCS process, constructs its causal compression relative to a…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Jean Krivine

Quantum computing will change the way we tackle certain problems. It promises to dramatically speed-up many chemical, financial, and machine-learning applications. However, to capitalize on those promises, complex design flows composed of…

Quantum Physics · Physics 2020-10-28 Lukas Burgholzer , Robert Wille

Microorganisms are found in almost every environment, including the soil, water, air, and inside other organisms, like animals and plants. While some microorganisms cause diseases, most of them help in biological processes such as…

Machine Learning · Computer Science 2023-09-28 Daniel Agyapong , Jeffrey Ryan Propster , Jane Marks , Toby Dylan Hocking

Under mass-action kinetics, biochemical reaction networks give rise to polynomial autonomous dynamical systems whose parameters are often difficult to estimate. We deal in this paper with the problem of identifying the kinetic parameters of…

Molecular Networks · Quantitative Biology 2019-04-26 Gabriela Jeronimo , Mercedes Pérez Millán , Pablo Solernó

Living cells encode and transmit information in the temporal dynamics of biochemical components. Gaining a detailed understanding of the input-output relationship in biological systems therefore requires quantitative measures that capture…

Molecular Networks · Quantitative Biology 2019-04-04 Lorenzo Duso , Christoph Zechner

Linear conjugacy offers a new perspective to broaden the scope of stable biochemical reaction networks to the systems linearly conjugated to the well-established complex balanced mass action systems ($\ell$cCBMASs). This paper addresses the…

Dynamical Systems · Mathematics 2024-05-27 Xiaoyu Zhang , Shibo He , Chuanhou Gao , Denis Dochain

Complex balanced mass-action systems (CBMASs) are of great importance in the filed of biochemical reaction networks. However analyzing the persistence of these networks with high dimensions and time delays poses significant challenges. To…

Dynamical Systems · Mathematics 2023-07-21 Xiaoyu Zhang , Chunhou Gao , Denis Dochain

A combustion chemistry acceleration scheme is developed based on deep operator networks (DeepONets). The scheme is based on the identification of combustion reaction dynamics through a modified DeepOnet architecture such that the solutions…

Chemical Physics · Physics 2023-04-25 Anuj Kumar , Tarek Echekki

An application of a methodology present in the previous paper An ERP Implementation Method: Studying a Pharmaceutical Company, is under consideration for a chemical company. Half of the paper as far as the methodology used is similar and…

Software Engineering · Computer Science 2019-01-25 Emmanouil Kolezakis

We determine conditions under which a random biochemical system is likely to contain a subsystem that is both autocatalytic and able to survive on some ambient `food' source. Such systems have previously been investigated for their…

Molecular Networks · Quantitative Biology 2007-05-23 Elchanan Mossel , Mike Steel

Delays are an important phenomenon arising in a wide variety of real world systems. They occur in biological models because of diffusion effects or as simplifying modeling elements. We propose here to consider delayed stochastic reaction…

Optimization and Control · Mathematics 2020-04-27 Corentin Briat , Mustafa Khammash

We discuss a method of approximate model reduction for networks of biochemical reactions. This method can be applied to networks with polynomial or rational reaction rates and whose parameters are given by their orders of magnitude. In…

Molecular Networks · Quantitative Biology 2015-05-27 Ovidiu Radulescu , Sergei Vakulenko , Dima Grigoriev

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.…

Molecular Networks · Quantitative Biology 2019-07-11 Ozan Kahramanoğulları

Dynamical systems in biology are complex, and one often does not have comprehensive knowledge about the interactions involved. Chemical reaction network (CRN) inference aims to identify, from observing species concentrations over time, the…

Methodology · Statistics 2026-04-15 Yong See Foo , Adriana Zanca , Jennifer A. Flegg , Ivo Siekmann

We present a novel multiscale simulation approach for modeling stochasticity in chemical reaction networks. The approach seamlessly integrates exact-stochastic and "leaping" methodologies into a single "partitioned leaping" algorithmic…

Chemical Physics · Physics 2009-11-11 Leonard A. Harris , Paulette Clancy
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