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The availability of high-throughput parallel methods for sequencing microbial communities is increasing our knowledge of the microbial world at an unprecedented rate. Though most attention has focused on determining lower-bounds on the…

Methodology · Statistics 2011-09-15 Manuel Lladser , Raúl Gouet , Jens Reeder

Bacteria can chemotactically migrate up attractant gradients by controlling run-and-tumble motility patterns. In addition to this well-known chemotactic behaviour, several soil and marine bacterial species perform chemokinesis: they adjust…

Biological Physics · Physics 2021-03-19 Theresa Jakuszeit , James Lindsey-Jones , François J. Peaudecerf , Ottavio A. Croze

Stochastic reaction networks are mathematical models with a wide range of applications in biochemistry, ecology, and epidemiology, and are often complex to analyze. Except for some special cases, it is generally difficult to predict how the…

Probability · Mathematics 2026-04-02 Daniele Cappelletti , Giulio Cuniberti , Paola Siri

It has been speculated that bubble formation of several base-pairs due to thermal fluctuations is indicatory for biological active sites. Recent evidence, based on experiments and molecular dynamics (MD) simulations using the…

Biological Physics · Physics 2009-11-11 Titus S. van Erp , Santiago Cuesta-Lopez , Johannes-Geert Hagmann , Michel Peyrard

Gut microbial composition has been linked to multiple health outcomes. Yet, temporal analysis of this composition had been limited to deterministic models. In this paper, we introduce a probabilistic model for the dynamics of intestinal…

Quantitative Methods · Quantitative Biology 2018-09-03 Ruiqi Zhong , Tyler Joseph , Joao B Xavier , Itsik Pe'er

We investigate the use of an extension of rule-based modelling for cellular signalling to create a structured space of model variants. This enables the incremental development of rule sets that start from simple mechanisms and which, by a…

Other Computer Science · Computer Science 2009-11-16 Russ Harmer

The multinomial probit model is a popular tool for analyzing choice behaviour as it allows for correlation between choice alternatives. Because current model specifications employ a full covariance matrix of the latent utilities for the…

Econometrics · Economics 2021-03-25 Ruben Loaiza-Maya , Didier Nibbering

A restricted Boltzmann machine (RBM) is an undirected graphical model constructed for discrete or continuous random variables, with two layers, one hidden and one visible, and no conditional dependency within a layer. In recent years, RBMs…

Machine Learning · Statistics 2019-09-12 Andee Kaplan , Daniel Nordman , Stephen Vardeman

Robust model predictive control algorithms are essential for addressing unavoidable errors due to the uncertainty in predicting real-world systems. However, the formulation of such algorithms typically results in a trade-off between…

Systems and Control · Electrical Eng. & Systems 2025-04-25 Moritz Heinlein , Sankaranarayanan Subramanian , Sergio Lucia

Biomolecular condensates have been shown to play a fundamental role in localizing biochemistry in a cell. RNA is a common constituent of condensates, and can determine their biophysical properties. Functions of biomolecular condensates are…

Subcellular Processes · Quantitative Biology 2023-02-22 Alex Mayer , Grace McLaughlin , Sierra Cole , Amy Gladfelter , Marcus Roper

Phenotypic variation is a hallmark of cellular physiology. Metabolic heterogeneity, in particular, underpins single-cell phenomena such as microbial drug tolerance and growth variability. Much research has focussed on transcriptomic and…

Molecular Networks · Quantitative Biology 2019-01-31 Mona K. Tonn , Philipp Thomas , Mauricio Barahona , Diego A Oyarzún

Machine learning (ML) models show strong promise for new biomedical prediction tasks, but concerns about trustworthiness have hindered their clinical adoption. In particular, it is often unclear whether a model relies on true clinical cues…

Machine Learning · Computer Science 2026-01-13 Dushan N. Wadduwage , Dineth Jayakody , Leonidas Zimianitis

An evolving yeast colony is simulated by means of a cellular automaton that takes care of many important features of the system under study. A complete survey of the properties of the colony is done and a set of scaling relations is found,…

Statistical Mechanics · Physics 2007-05-23 Lorenzo Fortunato

In this paper we analyze the equilibrium properties of a large class of stochastic processes describing the fundamental biological process within bacterial cells, {\em the production process of proteins}. Stochastic models classically used…

Molecular Networks · Quantitative Biology 2019-10-17 Philippe Robert

In chemical analysis made by laboratories one has the problem of determining the concentration of a chemical element in a sample. In order to tackle this problem the guide EURACHEM/CITAC recommends the application of the linear calibration…

Applications · Statistics 2008-03-19 Betsabé G. Blas Achic , Mônica C. Sandoval

The emergent spatial patterns generated by growing bacterial colonies have been the focus of intense study in physics during the last twenty years. Both experimental and theoretical investigations have made possible a clear qualitative…

Statistical Mechanics · Physics 2011-08-10 Juan A. Bonachela , Carey D. Nadell , Joao B. Xavier , Simon A. Levin

This paper studies a class of Consensus-Based Optimization (CBO) models featuring an additional stochastic rate of information, modeling the agents' knowledge of the environment and energy landscape. The well-posedness of the stochastic…

Optimization and Control · Mathematics 2025-07-29 Stefano Almi , Alessandro Baldi , Marco Morandotti , Francesco Solombrino

Conformal prediction has emerged as a popular technique for facilitating valid predictive inference across a spectrum of machine learning models, under minimal assumption of exchangeability. Recently, Hoff (2023) showed that full conformal…

Statistics Theory · Mathematics 2025-11-24 Pankaj Bhagwat , Linglong Kong , Bei Jiang

This paper aims to investigate a reaction-diffusion model which describes in-host infection for Mycobacterium tuberculosis (Mtb) allowing random motion (i.e. linear diffusion) and chemotaxis (i.e. non-linear diffusion) of macrophages and…

Populations and Evolution · Quantitative Biology 2024-10-16 C. Accarino , R. Accarino , F. Capone , R. De Luca , L. Fiorentino , G. Massa

Monod's model describes the growth of microorganisms using a hyperbolic function of extracellular resource concentration. Under fluctuating or limited resource concentrations this model performs poorly against experimental data, motivating…

Populations and Evolution · Quantitative Biology 2022-12-29 Mohammad M. Amirian , Andrew J. Irwin , Zoe V. Finkel