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Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

Hidden Markov Models (HMMs) are fundamental for modeling sequential data, yet learning their parameters from observations remains challenging. Classical methods like the Baum-Welch algorithm are computationally intensive and prone to local…

Machine Learning · Computer Science 2026-04-27 Reginald Zhiyan Chen , Heng-Sheng Chang , Prashant G. Mehta

Motivation: The analysis of antibodies and T-cell receptors (TCRs) concentrations in serum is a fundamental problem in immunoinformatics. Repertoire construction is a preliminary step of analysis of clonal lineages, understanding of immune…

Genomics · Quantitative Biology 2016-04-11 Alexander Shlemov , Sergey Bankevich , Andrey Bzikadze , Yana Safonova

Envelope model also known as multivariate regression model was proposed to solve the multiple response regression problems. It measures the linear association between predictors and multiple responses by using the minimal reducing subspace…

Methodology · Statistics 2018-05-07 Bochao Jia

The adaptive immune system is a natural diagnostic and therapeutic. It recognizes threats earlier than clinical symptoms manifest and neutralizes antigen with exquisite specificity. Recognition specificity and broad reactivity is enabled…

Quantitative Methods · Quantitative Biology 2019-07-26 Alex J. Brown , Igor Snapkov , Rahmad Akbar , Milena Pavlović , Enkelejda Miho , Geir K. Sandve , Victor Greiff

The adaptive immune system relies on diversity of its repertoire of receptors to protect the organism from a great variety of pathogens. Since the initial repertoire is the result of random gene rearrangement, binding of receptors is not…

Cell Behavior · Quantitative Biology 2019-10-30 Alexander Mozeika , Franca Fraternali , Deborah Dunn-Walters , Anthony C. C. Coolen

Fundamental to quantitative characterization of the B cell receptor repertoire is clonal diversity - the number of distinct somatically recombined receptors present in the repertoire and their relative abundances, defining the search space…

Quantitative Methods · Quantitative Biology 2017-08-30 William DeWitt , Paul Lindau , Thomas Snyder , Marissa Vignali , Ryan Emerson , Harlan Robins

The adaptive immune response relies on T cells that combine phenotypic specialization with diversity of T cell receptors (TCRs) to recognize a wide range of pathogens. TCRs are acquired and selected during T cell maturation in the thymus.…

High throughput immune repertoire sequencing is promising to lead to new statistical diagnostic tools for medicine and biology. Successful implementations of these methods require a correct characterization, analysis and interpretation of…

Genomics · Quantitative Biology 2018-04-13 Quentin Marcou , Thierry Mora , Aleksandra M Walczak

In a variety of online settings involving interaction with end-users it is critical for the systems to adapt to changes in user preferences. User preferences on items tend to change over time due to a variety of factors such as change in…

Information Retrieval · Computer Science 2019-05-17 Farzad Eskandanian , Bamshad Mobasher

Subclasses of lymphocytes carry different functional roles to work together to produce an immune response and lasting immunity. Additionally to these functional roles, T and B-cell lymphocytes rely on the diversity of their receptor chains…

Populations and Evolution · Quantitative Biology 2021-04-28 Giulio Isacchini , Aleksandra M Walczak , Thierry Mora , Armita Nourmohammad

We propose DenseHMM - a modification of Hidden Markov Models (HMMs) that allows to learn dense representations of both the hidden states and the observables. Compared to the standard HMM, transition probabilities are not atomic but composed…

Machine Learning · Computer Science 2020-12-18 Joachim Sicking , Maximilian Pintz , Maram Akila , Tim Wirtz

Cancer arises from successive rounds of mutations which generate tumor cells with different genomic variation i.e. clones. For drug responsiveness and therapeutics, it is necessary to identify the clones in tumor sample accurately. Many…

Genomics · Quantitative Biology 2015-03-03 Gholamreza Haffari , Zhaoxiang Cai , Mohammad S. Rahman , Ann E. Nicholson

The collection of immunoglobulin genes in an individual's germline, which gives rise to B cell receptors via recombination, is known to vary significantly across individuals. In humans, for example, each individual has only a fraction of…

Populations and Evolution · Quantitative Biology 2019-07-26 Duncan K. Ralph , Frederick A. Matsen

We develop a latent variable model and an efficient spectral algorithm motivated by the recent emergence of very large data sets of chromatin marks from multiple human cell types. A natural model for chromatin data in one cell type is a…

Machine Learning · Statistics 2015-06-09 Chicheng Zhang , Jimin Song , Kevin C Chen , Kamalika Chaudhuri

Motivation: High-throughput sequencing of large immune repertoires has enabled the development of methods to predict the probability of generation by V(D)J recombination of T- and B-cell receptors of any specific nucleotide sequence. These…

Genomics · Quantitative Biology 2020-11-20 Zachary Sethna , Yuval Elhanati , Curtis G. Callan , Aleksandra M. Walczak , Thierry Mora

High-throughput sequencing of B- and T-cell receptors makes it possible to track immune repertoires across time, in different tissues, and in acute and chronic diseases or in healthy individuals. However, quantitative comparison between…

Quantitative Methods · Quantitative Biology 2020-11-20 Maximilian Puelma Touzel , Aleksandra M. Walczak , Thierry Mora

In this article we suggest a new statistical approach considering survival heterogeneity as a breakpoint model in an ordered sequence of time to event variables. The survival responses need to be ordered according to a numerical covariate.…

Applications · Statistics 2016-09-26 Olivier Bouaziz , Grégory Nuel

The detection of change-points in heterogeneous sequences is a statistical challenge with many applications in fields such as finance, signal analysis and biology. A wide variety of literature exists for finding an ideal set of…

Applications · Statistics 2012-12-11 The Minh Luong , Vittorio Perduca , Gregory Nuel