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High-throughput data acquisition in synthetic biology leads to an abundance of data that need to be processed and aggregated into useful biological models. Building dynamical models based on this wealth of data is of paramount importance to…

Systems and Control · Computer Science 2018-09-25 Zoltan A. Tuza , Guy-Bart Stan

Chemical kinetics and reaction engineering consists of the phenomenological framework for the disentanglement of reaction mechanisms, optimization of reaction performance and the rational design of chemical processes. Here, we utilize…

Machine Learning · Computer Science 2021-12-10 Gabriel S. Gusmão , Adhika P. Retnanto , Shashwati C. da Cunha , Andrew J. Medford

In this paper we introduce a formalism that allows to describe the response of a part of a biochemical system in terms of renewal equations. In particular, we examine under which conditions the interactions between the different parts of a…

Analysis of PDEs · Mathematics 2023-09-06 E. Franco , B. Kepka , J. J. L. Velázquez

The automated inference of physically interpretable (bio)chemical reaction network models from measured experimental data is a challenging problem whose solution has significant commercial and academic ramifications. It is demonstrated,…

Neural and Evolutionary Computing · Computer Science 2014-12-22 Dominic P. Searson , Mark J. Willis , Allen Wright

In many astrophysical applications, the cost of solving a chemical network represented by a system of ordinary differential equations (ODEs) grows significantly with the size of the network, and can often represent a significant…

Instrumentation and Methods for Astrophysics · Physics 2022-12-21 T. Grassi , F. Nauman , J. P. Ramsey , S. Bovino , G. Picogna , B. Ercolano

In this paper, we propose a new method to identify biochemical reaction networks (i.e. both reactions and kinetic parameters) from heterogeneous datasets. Such datasets can contain (a) data from several replicates of an experiment performed…

Systems and Control · Computer Science 2015-09-21 Wei Pan , Ye Yuan , Lennart Ljung , Jorge Goncalves , Guy-Bart Stan

In chemical reaction network theory, ordinary differential equations are used to model the temporal change of chemical species concentration. As the functional form of these ordinary differential equations systems is derived from an…

Molecular Networks · Quantitative Biology 2025-02-27 Anna C. M. Thöni , William E. Robinson , Yoram Bachrach , Wilhelm T. S. Huck , Tal Kachman

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

The analysis of the structure of chemical reaction networks is crucial for a better understanding of chemical processes. Such networks are well described as hypergraphs. However, due to the available methods, analyses regarding network…

Computational Complexity · Computer Science 2013-09-30 Rolf Fagerberg , Christoph Flamm , Daniel Merkle , Philipp Peters , Peter F. Stadler

Models of biochemical networks are frequently high-dimensional and complex. Reduction methods that preserve important dynamical properties are therefore essential in their study. Interactions between the nodes in such networks are…

Molecular Networks · Quantitative Biology 2013-08-23 Alan Veliz-Cuba , Ajit Kumar , Kresimir Josic

Biochemical networks are used in computational biology, to model the static and dynamical details of systems involved in cell signaling, metabolism, and regulation of gene expression. Parametric and structural uncertainty, as well as…

Molecular Networks · Quantitative Biology 2014-10-15 Ovidiu Radulescu , Alexander N. Gorban , Andrei Zinovyev , Vincent Noel

In this work, we propose a general inversion framework to non-uniquely invert a very large class of ordinary differential equations (ODEs) into chemical reaction networks. A thorough treatment of the relevant chemical reaction network…

Molecular Networks · Quantitative Biology 2023-01-25 Su Hyeong Lee

A chemical reaction network (CRN) is composed of reactions that can be seen as interactions among entities called species, which exist within the system. Endowed with kinetics, CRN has a corresponding set of ordinary differential equations…

Dynamical Systems · Mathematics 2021-04-20 Bryan S. Hernandez , Ralph John L. De la Cruz

We review a recent trend in computational systems biology which aims at using pattern recognition algorithms to infer the structure of large-scale biological networks from heterogeneous genomic data. We present several strategies that have…

Quantitative Methods · Quantitative Biology 2008-09-22 Jean-Philippe Vert

We develop a numerical method to reconstruct systems of ordinary differential equations (ODEs) from time series data without {\it a priori} knowledge of the underlying ODEs using sparse basis learning and sparse function reconstruction. We…

Data Analysis, Statistics and Probability · Physics 2016-05-19 Manuel Mai , Mark D. Shattuck , Corey S. O'Hern

Traditional algorithms for compressive sensing recovery are computationally expensive and are ineffective at low measurement rates. In this work, we propose a data driven non-iterative algorithm to overcome the shortcomings of earlier…

Computer Vision and Pattern Recognition · Computer Science 2017-08-18 Suhas Lohit , Kuldeep Kulkarni , Ronan Kerviche , Pavan Turaga , Amit Ashok

Compressive sensing (CS) has been studied and applied in structural health monitoring for wireless data acquisition and transmission, structural modal identification, and spare damage identification. The key issue in CS is finding the…

Signal Processing · Electrical Eng. & Systems 2019-03-25 Yuequan Bao , Zhiyi Tang , Hui Li

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

The quasi-steady state approximation and time-scale separation are commonly applied methods to simplify models of biochemical reaction networks based on ordinary differential equations (ODEs). The concentrations of the "fast" species are…

Dynamical Systems · Mathematics 2016-05-10 Meritxell Sáez , Carsten Wiuf , Elisenda Feliu

We propose a direct optimization framework for learning reduced and sparse chemical reaction networks (CRNs) from time-series trajectory data. In contrast to widely used indirect methods-such as those based on sparse identification of…

Molecular Networks · Quantitative Biology 2025-08-27 Maurice Filo , Mustafa Khammash
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