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In the theoretical modelling of a physical system a crucial step consists in the identification of those degrees of freedom that enable a synthetic, yet informative representation of it. While in some cases this selection can be carried out…

Statistical Mechanics · Physics 2020-06-30 Marco Giulini , Roberto Menichetti , M. Scott Shell , Raffaello Potestio

This is the first report, to our knowledge, on a systematic method for constructing a large scale kinetic metabolic model with incomplete information on kinetic parametersr, and its initial application to the modeling of central metabolism…

Molecular Networks · Quantitative Biology 2008-08-05 P. Ao , L. W. Lee , Me Lidstrom , L. Yin , X. M. Zhu

The origin and shape of metabolic scaling has been controversial since Kleiber found that basal metabolic rate of animals seemed to vary as a power law of their body mass with exponent 3/4, instead of 2/3, as a surface-to-volume argument…

Data analysis and data mining are concerned with unsupervised pattern finding and structure determination in data sets. The data sets themselves are explicitly linked as a form of representation to an observational or otherwise empirical…

Machine Learning · Statistics 2011-01-11 Fionn Murtagh

Metabolic flux balance analyses are a standard tool in analysing metabolic reaction rates compatible with measurements, steady-state and the metabolic reaction network stoichiometry. Flux analysis methods commonly place unrealistic…

The utilization of statistical methods an their applications within the new field of study known as Topological Data Analysis has has tremendous potential for broadening our exploration and understanding of complex, high-dimensional data…

Applications · Statistics 2016-07-19 Patrick S. Medina , R. W. Doerge

In many areas of science multiple sets of data are collected pertaining to the same system. Examples are food products which are characterized by different sets of variables, bio-processes which are on-line sampled with different…

Purpose: Factor analysis (FA) has become part and parcel in metabolic syndrome (MBS) research. Both exploration- and confirmation-driven factor analyzes are rampant. However, factor analytic results on MBS differ widely. A situation that is…

Applications · Statistics 2016-09-09 Carel F. W. Peeters , James Dziura , Floryt van Wesel

Metabolic networks perform some of the most fundamental functions in living cells, including energy transduction and building block biosynthesis. While these are the best characterized networks in living systems, understanding their…

Molecular Networks · Quantitative Biology 2010-04-05 W. J. Riehl , P. L. Krapivsky , S. Redner , D. Segre

The dynamics of many-body systems can often be captured in terms of only a few relevant variables. Mathematical and numerical approaches exist to identify these variables by exploiting a separation of time scales between slow relevant and…

Recent advances in single cell sequencing and multi-omics techniques have significantly improved our understanding of biological phenomena and our capacity to model them. Despite combined capture of data modalities showing similar progress,…

Molecular Networks · Quantitative Biology 2025-03-13 Marcello Barylli , Joyaditya Saha , Tineke E. Buffart , Jan Koster , Kristiaan J. Lenos , Louis Vermeulen , Vivek M. Sheraton

In traditional thermodynamical and statistical-mechanical approaches one has (some) detailed knowledge of the principles governing the microdynamics of a system. However in many instances we may not have a Hamiltonian or good information…

Statistical Mechanics · Physics 2007-05-23 David Ford

The purpose of this paper is to point out a new connection between information theory and dynamical systems. In the information theory side, we consider rate distortion theory, which studies lossy data compression of stochastic processes…

Dynamical Systems · Mathematics 2017-02-21 Elon Lindenstrauss , Masaki Tsukamoto

In this paper, we make the case that a scientific theory of deep learning is emerging. By this we mean a theory which characterizes important properties and statistics of the training process, hidden representations, final weights, and…

The intricate interplay between host organisms and their gut microbiota has catalyzed research into the microbiome's role in disease, shedding light on novel aspects of disease pathogenesis. However, the mechanisms through which the…

Methodology · Statistics 2024-02-20 Lei Fang , Yue Wang , Chenglong Ye

The massive data sets from today's particle physics experiments present a variety of challenges amenable to the tools developed by the statistics community. From the real-time decision of what subset of data to record on permanent storage,…

High Energy Physics - Experiment · Physics 2007-05-23 Bruce Knuteson , Paul Padley

The quantum adiabatic theorem is fundamental to time dependent quantum systems, but being able to characterize quantitatively an adiabatic evolution in many-body systems can be a challenge. This work demonstrates that the use of appropriate…

Quantum Physics · Physics 2020-06-11 A. H. Skelt , I. D'Amico

Model selection methods are used in different scientific contexts to represent a characteristic data set in terms of a reduced number of parameters. Apparently, these methods have not found their way into the literature on multibody systems…

Robotics · Computer Science 2017-05-30 Javier Ros , Xabier Iriarte , Aitor Plaza , Vicente Mata

Physiological whole-body models are valuable tools for the development of novel drugs where understanding the system aspects is important. This paper presents a generalized model that encapsulates the structure and flow of whole-body human…

Quantitative Methods · Quantitative Biology 2024-04-23 Laura Hjort Blicher , Peter Emil Carstensen , Jacob Bendsen , Henrik Linden , Bjørn Hald , Kim Kristensen , John Bagterp Jørgensen

Genome-scale metabolic models have become a fundamental tool for examining metabolic principles. However, metabolism is not solely characterized by the underlying biochemical reactions and catalyzing enzymes, but also affected by regulatory…

Molecular Networks · Quantitative Biology 2019-06-19 Anne Grimbs , David F. Klosik , Stefan Bornholdt , Marc-Thorsten Hütt
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