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The conformational kinetics of enzymes can be reliably revealed when they are governed by Markovian dynamics. Hidden Markov Models (HMMs) are appropriate especially in the case of conformational states that are hardly distinguishable.…

Quantitative Methods · Quantitative Biology 2009-02-05 A. Kovalev , N. Zarrabi , F. Werz , M. Boersch , Z. Ristic , H. Lill , D. Bald , C. Tietz , J. Wrachtrup

In this study, we propose a hidden Markov mixture model for the analysis of gene expression measurements mapped to chromosome locations. These expression values represent preprocessed light intensities observed in each probe of Affymetrix…

Applications · Statistics 2016-09-27 Vinícius Diniz Mayrink , Flávio Bambirra Gonçalves

In this paper, it is presented a methodology for implementing arbitrarily constructed time-homogenous Markov chains with biochemical systems. Not only discrete but also continuous-time Markov chains are allowed to be computed. By employing…

Molecular Networks · Quantitative Biology 2018-02-16 Chuan Zhang , Ziyuan Shen , Wei Wei , Jing Zhao , Zaichen Zhang , Xiaohu You

In the genomic era, the identification of gene signatures associated with disease is of significant interest. Such signatures are often used to predict clinical outcomes in new patients and aid clinical decision-making. However, recent…

Methodology · Statistics 2019-03-27 Naim U. Rashid , Quefeng Li , Jen Jen Yeh , Joseph G. Ibrahim

Within the germinal center in follicles, B-cells proliferate, mutate and differentiate, while being submitted to a powerful selection~: a micro-evolutionary mechanism at the heart of adaptive immunity. A new foreign pathogen is confronted…

Probability · Mathematics 2016-02-12 Irene Balelli , Vuk Milisic , Gilles Wainrib

Bi-clustering is a useful approach in analyzing biological data when observations come from heterogeneous groups and have a large number of features. We outline a general Bayesian approach in tackling bi-clustering problems in moderate to…

Applications · Statistics 2021-02-11 Han Yan , Jiexing Wu , Yang Li , Jun S. Liu

We study sequential Bayesian inference in stochastic kinetic models with latent factors. Assuming continuous observation of all the reactions, our focus is on joint inference of the unknown reaction rates and the dynamic latent states,…

Computation · Statistics 2014-09-10 Junjing Lin , Michael Ludkovski

By providing a framework of accounting for the shared ancestry inherent to all life, phylogenetics is becoming the statistical foundation of biology. The importance of model choice continues to grow as phylogenetic models continue to…

Populations and Evolution · Quantitative Biology 2019-02-05 Jamie R. Oaks , Kerry A. Cobb , Vladimir N. Minin , Adam D. Leaché

With the symbolic framework of Probability Bracket Notation (PBN), the Markov Sequence Projector (MSP) is introduced to expand the evolution formula of Homogeneous Markov Chains (HMCs). The well-known weather example, a Visible Markov Model…

Artificial Intelligence · Computer Science 2025-02-21 Xing M. Wang

We present a machine learning framework for modeling protein dynamics. Our approach uses L1-regularized, reversible hidden Markov models to understand large protein datasets generated via molecular dynamics simulations. Our model is…

Biomolecules · Quantitative Biology 2014-05-08 Robert T. McGibbon , Bharath Ramsundar , Mohammad M. Sultan , Gert Kiss , Vijay S. Pande

Variation in the evolutionary process across the sites of nucleotide sequence alignments is well established, and is an increasingly pervasive feature of datasets composed of gene regions sampled from multiple loci and/or different genomes.…

Populations and Evolution · Quantitative Biology 2014-09-04 Brian R. Moore , Jim McGuire , Fredrik Ronquist , John P. Huelsenbeck

More than ever, today we are left with the abundance of molecular data outpaced by the advancements of the phylogenomic methods. Especially in the case of presence of many genes over a set of species under the phylogeny question, more…

Applications · Statistics 2021-11-29 Ali Amiryousefi

Most genome assemblers construct point estimates, choosing a genome sequence from among many alternative hypotheses that are supported by the data. We present a Markov Chain Monte Carlo approach to sequence assembly that instead generates…

Genomics · Quantitative Biology 2014-06-30 Mark Howison , Felipe Zapata , Erika J. Edwards , Casey W. Dunn

One strategy for winning a coevolutionary struggle is to evolve rapidly. Most of the literature on host-pathogen coevolution focuses on this phenomenon, and looks for consequent evidence of coevolutionary arms races. An alternative…

Populations and Evolution · Quantitative Biology 2012-11-14 Erick Chastain , Rustom Antia , Carl T. Bergstrom

T-cells play a key role in adaptive immunity by mounting specific responses against diverse pathogens. An effective binding between T-cell receptors (TCRs) and pathogen-derived peptides presented on Major Histocompatibility Complexes (MHCs)…

Quantitative Methods · Quantitative Biology 2025-09-05 Gian Marco Visani , Michael N. Pun , Anastasia A. Minervina , Philip Bradley , Paul Thomas , Armita Nourmohammad

The estimation of covariance matrices of gene expressions has many applications in cancer systems biology. Many gene expression studies, however, are hampered by low sample size and it has therefore become popular to increase sample size by…

Bayesian causal discovery benefits from prior information elicited from domain experts, and in heterogeneous domains any prior knowledge would be badly needed. However, so far prior elicitation approaches have assumed a single causal graph…

Machine Learning · Computer Science 2026-04-30 Zachris Björkman , Jorge Loría , Sophie Wharrie , Samuel Kaski

The understanding of mechanisms that control epigenetic changes is an important research area in modern functional biology. Epigenetic modifications such as DNA methylation are in general very stable over many cell divisions. DNA…

Genomics · Quantitative Biology 2019-01-21 Charalampos Kyriakopoulos , Pascal Giehr , Alexander Lück , Jörn Walter , Verena Wolf

Unraveling the evolutionary forces shaping bacterial diversity can today be tackled using a growing amount of genomic data. While the genome of eukaryotes is highly stable, bacterial genomes from cells of the same species highly vary in…

Populations and Evolution · Quantitative Biology 2015-03-19 Franz Baumdicker , Peter Pfaffelhuber

Molecular phylogenetic and phylogeographic reconstructions generally assume time-homogeneous substitution processes. Motivated by computational convenience, this assumption sacrifices biological realism and offers little opportunity to…

Populations and Evolution · Quantitative Biology 2013-09-13 Filip Bielejec , Philippe Lemey , Guy Baele , Andrew Rambaut , Marc A Suchard
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