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To support mechanism online learning and facilitate digital twin development for biomanufacturing processes, this paper develops an efficient Bayesian inference approach for partially observed enzymatic stochastic reaction network (SRN), a…

Machine Learning · Statistics 2024-07-02 Wandi Xu , Wei Xie

There exist several methods for simulating biological and physical systems as represented by chemical reaction networks. Systems with low numbers of particles are frequently modelled as discrete-state Markov jump processes and are typically…

Quantitative Methods · Quantitative Biology 2022-10-24 Joshua C. Kynaston , Christian A Yates , Anna Hekkink , Chris Guiver

Chemical reactions are a prominent feature of molecular communication (MC) systems, with no direct parallels in wireless communications. While chemical reactions may be used inside the transmitter nodes, receiver nodes or the communication…

Information Theory · Computer Science 2018-04-25 Maryam Farahnak-Ghazani , Gholamali Aminian , Mahtab Mirmohseni , Amin Gohari , Masoumeh Nasiri-Kenari

Stochastic dynamics of chemical reactions in a mutually repressing two-gene circuit is numerically simulated. The circuit has a rich variety of different states when the kinetic change of DNA status is slow. The stochastic switching…

Disordered Systems and Neural Networks · Physics 2009-11-11 Tomohiro Ushikubo , Wataru Inoue , Mitsumasa Yoda , Masaki Sasai

A cell has the ability to convert an environmental change into the expression of genetic information through a chain of intracellular signal transduction reactions. Here, we aimed to develop a method for quantifying this signal…

Molecular Networks · Quantitative Biology 2017-03-09 Tatsuaki Tsuruyama

Individual components such as cells, particles, or agents within a larger system often require detailed understanding of their relative position to act accordingly, enabling the system as a whole to function in an organised and efficient…

Statistical Mechanics · Physics 2025-02-28 Jonas Berx , Prashant Singh , Karel Proesmans

Information thermodynamics relates the rate of change of mutual information between two interacting subsystems to their thermodynamics when the joined system is described by a bipartite stochastic dynamics satisfying local detailed balance.…

Statistical Mechanics · Physics 2022-08-05 Emanuele Penocchio , Francesco Avanzini , Massimiliano Esposito

Chemical reaction prediction is pivotal for accelerating drug discovery and synthesis planning. Despite advances in data-driven models, current approaches are hindered by an overemphasis on parameter and dataset scaling. Some methods…

Machine Learning · Computer Science 2026-03-04 Ran Li , Shimin Di , Haowei LI , Luanshi Bu , Jiachuan Wang , Wangze Ni , Lei Chen

In a diffusion-based molecular communication network, transmitters and receivers communicate by using signalling molecules (or ligands) in a fluid medium. This paper assumes that the transmitter uses different chemical reactions to generate…

Information Theory · Computer Science 2019-04-25 Chun Tung Chou

Several different methods exist for efficient approximation of paths in multiscale stochastic chemical systems. Another approach is to use bursts of stochastic simulation to estimate the parameters of a stochastic differential equation…

Numerical Analysis · Mathematics 2014-12-19 Simon Cotter , Radek Erban

We present a method for estimating parameters in stochastic models of biochemical reaction networks by fitting steady-state distributions using Wasserstein distances. We simulate a reaction network at different parameter settings and train…

Quantitative Methods · Quantitative Biology 2020-01-29 Kaan Öcal , Ramon Grima , Guido Sanguinetti

We present a novel formulation for biochemical reaction networks in the context of signal transduction. The model consists of input-output transfer functions, which are derived from differential equations, using stable equilibria. We select…

Molecular Networks · Quantitative Biology 2013-02-26 Gabriele Scheler

Information theory provides powerful tools for understanding communication systems. This analysis can be applied to intercellular signal transduction, which is a means of chemical communication among cells and microbes. We discuss how to…

Quantitative Methods · Quantitative Biology 2016-11-15 Andrew W. Eckford , Kenneth A. Loparo , Peter J. Thomas

In this work, a strategy to estimate the information transfer between the elements of a complex system, from the time series associated to the evolution of this elements, is presented. By using the nearest neighbors of each state, the local…

Information Theory · Computer Science 2018-12-05 P. Garcia , R. Mujica

A significant drawback of Lagrangian (particle-tracking) reactive transport models has been their inability to properly simulate interactions between solid and liquid chemical phases, such as dissolution and precipitation reactions. This…

A state-dependent relay channel is studied in which strictly causal channel state information is available at the relay and no state information is available at the source and destination. The source and the relay are connected via two…

Information Theory · Computer Science 2015-03-18 Min Li , Osvaldo Simeone , Aylin Yener

Stochastic modeling and simulation provide powerful predictive methods for the intrinsic understanding of fundamental mechanisms in complex biochemical networks. Typically, such mathematical models involve networks of coupled jump…

Information Theory · Computer Science 2013-08-02 Yannis Pantazis , Markos A. Katsoulakis , Dionisios G. Vlachos

Protein translation is a multistep process which can be represented as a cascade of biochemical reactions (initiation, ribosome assembly, elongation, etc.), the rate of which can be regulated by small non-coding microRNAs through multiple…

Molecular Networks · Quantitative Biology 2010-03-09 Andrei Zinovyev , Nadya Morozova , Nora Nonne , Emmanuel Barillot , Annick Harel-Bellan , Alexander N. Gorban

Decomposition of biomolecular reaction networks into pathways is a powerful approach to the analysis of metabolic and signalling networks. Current approaches based on analysis of the stoichiometric matrix reveal information about…

Molecular Networks · Quantitative Biology 2018-08-14 Peter J. Gawthrop , Edmund J. Crampin

Continuous-time Markov chains are used to model stochastic systems where transitions can occur at irregular times, e.g., birth-death processes, chemical reaction networks, population dynamics, and gene regulatory networks. We develop a…

Machine Learning · Statistics 2022-12-13 Majerle Reeves , Harish S. Bhat