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Documents  92D10 | enregistrements trouvés : 28

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ISBN 978-0-8218-1176-4

Lectures on mathematics in the life sciences , 0025

Localisation : Colloque 1er étage (SNOW)

biomathématique # cycle cellulaire # écologie # évolution

92-06 ; 92D10 ; 92D15

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- 177 p.
ISBN 978-0-8218-2816-8

Proceedings of symposia in applied mathematics , 0059

Localisation : Collection 1er étage

modélisation mathématique appliquée à la biologie # EDP # équation différentielle # équation réaction/diffusion # processus naissance et mort #dynamique # bifurcation

92C05 ; 92C20 ; 92C30 ; 92C37 ; 92D10 ; 92D30

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- 151 p.
ISBN 978-0-8218-3964-5

Proceedings of symposia in applied mathematics , 0064

Localisation : Collection 1er étage

bio-mathématiques # génétique # système dynamique # modélisation # simulation

92B05 ; 00B25 ; 92-06 ; 92D10 ; 92D25 ; 92-08

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- x; 264 p.
ISBN 978-3-540-87988-6

Lecture notes in bioinformatics , 5267

Localisation : Colloque 1er étage (PARI)

génomique # bioinformatique # algorithme génétique # programmation génétique

92C40 ; 92D10 ; 92-06 ; 00B25

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Research talks;Mathematics in Science and Technology

92C50 ; 92C40 ; 92D10 ; 92C37

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Research talks;Mathematics in Science and Technology;Probability and Statistics

Maladapted individuals can only colonise a new habitat if they can evolve a positive growth rate fast enough to avoid extinction - evolutionary rescue. We use the infinitesimal model to follow the evolution of the growth rate, and find that the probability that a single migrant can establish depends on just two parameters: the mean and genetic variance of fitness. With continued migration, establishment is inevitable. However, above a threshold migration rate, the population may be trapped in a sink state, in which adaptation is held back by gene flow. By assuming a constant genetic variance, we develop a diffusion approximation for the joint distribution of population size and trait mean. Maladapted individuals can only colonise a new habitat if they can evolve a positive growth rate fast enough to avoid extinction - evolutionary rescue. We use the infinitesimal model to follow the evolution of the growth rate, and find that the probability that a single migrant can establish depends on just two parameters: the mean and genetic variance of fitness. With continued migration, establishment is inevitable. However, above a threshold ...

92D15 ; 92D10 ; 92D25

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Research schools;Computer Science;Mathematics in Science and Technology

92C40 ; 92D10 ; 92D20 ; 92E10 ; 68T05 ; 68Q25

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Research talks;Mathematics in Science and Technology;Probability and Statistics

We analyse patterns of genetic variability of populations in the presence of a large seed bank with the help of a new coalescent structure called seed bank coalescent. This ancestral process appears naturally as scaling limit of the genealogy of large populations that sustain seed banks, if the seed bank size and individual dormancy times are of the same order as the active population. Mutations appear as Poisson process on the active lineages, and potentially at reduced rate also on the dormant lineages. The presence of ‘dormant’ lineages leads to qualitatively altered times to the most recent common ancestor and non-classical patterns of genetic diversity. To illustrate this we provide a Wright-Fisher model with seed bank component and mutation, motivated from recent models of microbial dormancy, whose genealogy can be described by the seed bank coalescent. Based on our coalescent model, we derive recursions for the expectation and variance of the time to most recent common ancestor, number of segregating sites, pairwise differences, and singletons. Commonly employed distance statistics, in the presence and absence of a seed bank, are compared. The effect of a seed bank on the expected site-frequency spectrum is also investigated. Our results indicate that the presence of a large seed bank considerably alters the distribution of some distance statistics, as well as the site-frequency spectrum. Thus, one should be able to detect the presence of a large seed bank in genetic data. Joint work with Bjarki Eldon, Adrián González Casanova, Noemi Kurt, Maite Wilke-Berenguer We analyse patterns of genetic variability of populations in the presence of a large seed bank with the help of a new coalescent structure called seed bank coalescent. This ancestral process appears naturally as scaling limit of the genealogy of large populations that sustain seed banks, if the seed bank size and individual dormancy times are of the same order as the active population. Mutations appear as Poisson process on the active lineages, ...

92D10 ; 60K35 ; 62P10

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Research talks;Mathematics in Science and Technology;Probability and Statistics

Pervasive natural selection can strongly influence observed patterns of genetic variation, but these effects remain poorly understood when multiple selected variants segregate in nearby regions of the genome. Classical population genetics fails to account for interference between linked mutations, which grows increasingly severe as the density of selected polymorphisms increases. I will describe a simple limit that emerges when interference is common, in which the fitness effects of individual mutations play a relatively minor role. Instead, similar to models of quantitative genetics, molecular evolution is determined by the variance in fitness within the population, defined over an effectively asexual segment of the genome (a "linkage block"). I will describe how we can exploit this insensitivity in a new "coarse-grained" coalescent framework, which approximates the effects of many weakly selected mutations with a smaller number of strongly selected mutations that create the same variance in fitness. This approximation generates accurate and efficient predictions for silent site variability when interference is common. However, these results suggest that there is reduced power to resolve individual selection pressures when interference is sufficiently widespread, since a broad range of parameters possess nearly identical patterns of silent site variability. Pervasive natural selection can strongly influence observed patterns of genetic variation, but these effects remain poorly understood when multiple selected variants segregate in nearby regions of the genome. Classical population genetics fails to account for interference between linked mutations, which grows increasingly severe as the density of selected polymorphisms increases. I will describe a simple limit that emerges when interference is ...

92D10 ; 92D15

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Research schools;Computer Science;Mathematics in Science and Technology

92C40 ; 92D10 ; 92D20 ; 92E10 ; 68T05 ; 68Q25

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Research talks;Mathematics in Science and Technology;Probability and Statistics

Geneticists have always been aware that, when looking for signal across the entire genome, one has to be very careful to avoid false discoveries. Contemporary studies often involve a very large number of traits, increasing the challenges of "looking every-where". I will discuss novel approaches that allow an adaptive exploration of the data, while guaranteeing reproducible results.

62F15 ; 62J15 ; 62P10 ; 92D10

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Research talks;Probability and Statistics

The infinitesimal model is based on the assumption that, conditional on the pedigree, the joint distribution of trait values is multivariate normal, then, selecting parents does not alter the variance amongst offspring. We explain how the infinitesimal model extends to include dominance as well as epistasis. Then, the evolution of a population depends on just a few quantities, which define the components of genetic variance and the inbreeding depression. In practice, the main difficulty in applying the infinitesimal model in the presence of dominance is that one must calculate the probabilities of identity by descent amongst up to four genes, which means that very many identity coefficients must be traced. We show how these coefficients can be calculated and approximated, allowing the infinitesimal model to be applied to help understand the evolutionary consequences of inbreeding depression. The infinitesimal model is based on the assumption that, conditional on the pedigree, the joint distribution of trait values is multivariate normal, then, selecting parents does not alter the variance amongst offspring. We explain how the infinitesimal model extends to include dominance as well as epistasis. Then, the evolution of a population depends on just a few quantities, which define the components of genetic variance and the inbreeding ...

60F05 ; 60K30 ; 92D10

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Research talks;Probability and Statistics

In the infinitesimal model, one or several quantitative traits are described as the sum of a genetic and a non-genetic component, the first being distributed within families as a normal random variable centred at the average of the parental genetic components, and with a variance independent of the parental traits. The idea behind the normal distribution of the genetic component is that the genetic part of the trait of interest is the sum of the ‘infinitesimal' contributions of the allelic states at a very large number of loci. This model has been widely used in quantitative genetics, but less so in evolutionary biology and the precise conditionsunder which it holds has remained rather vague. In this talk, we shall provide a mathematical justification of the model as the limit as the number M of loci tends to infinity of a model with Mendelian inheritance, which includes different evolutionary processes (genetic drift, recombination, selection, mutation, population structure, ...). Generalisations of the simple version of the infinitesimal model presented here, as well as some applications, will be presented in the following talks by Nick Barton and Alison Etheridge. In the infinitesimal model, one or several quantitative traits are described as the sum of a genetic and a non-genetic component, the first being distributed within families as a normal random variable centred at the average of the parental genetic components, and with a variance independent of the parental traits. The idea behind the normal distribution of the genetic component is that the genetic part of the trait of interest is the sum of the ...

60F05 ; 60K30 ; 92D10

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Research talks;Numerical Analysis and Scientific Computing;Computer Science;Probability and Statistics

The reconstruction of graphical models (or networks) has become ubiquitous to analyze the rapidly expanding, information-rich data of biological or clinical interest. I will outline some network reconstruction methods and applications to large scale datasets. In particular, our group has developped information-theoretic methods and machine learning tools to infer and analyze interpretable graphical models from large scale genomics data (single cell transcriptomics, tumor expression and mutation data) as well as clinical data (analysis of medical records from breast cancer patients, Institut Curie, and from elderly patients with cognitive disorders, La Pitie-Salpetriere). The reconstruction of graphical models (or networks) has become ubiquitous to analyze the rapidly expanding, information-rich data of biological or clinical interest. I will outline some network reconstruction methods and applications to large scale datasets. In particular, our group has developped information-theoretic methods and machine learning tools to infer and analyze interpretable graphical models from large scale genomics data (single ...

68T05 ; 92D10

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- 104 p.
ISBN 978-0-19-853693-2

Oxford studies in probability , 0003

Localisation : Ouvrage RdC (KING)

distribution de Poisson-Dirichlet # ensemble aléatoire de point # géométrie stochastique # mesure complètement aléatoire # mouvement brownien # processus de Cox # processus de Markov # processus de Poisson # processus de branchement # processus de renouveau

60A10 ; 60J65 ; 60J70 ; 60Jxx ; 92D10

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- 367 p.
ISBN 978-0-387-95395-3

Statistics for biology and health

Localisation : Ouvrage RdC (LANG)

méthode statistique # génétique # biologie # graphe # processus de diffusion # estimation bayesienne # algorithme de Lander-Green-Kruglyak

92D10 ; 92-02 ; 62P10

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- 239 p.
ISBN 978-0-19-850942-4

Oxford lecture series in mathematics and its applications , 0024

Localisation : Ouvrage RdC (SEMP)

phylogénétique # évolution # arbre phylogénique # statistique # arbre # modèle de Markov

92D15 ; 62P10 ; 05C05 ; 62H30 ; 92D10

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- 409 p.
ISBN 978-0-471-98653-9

Wiley series in mathematical and computational biology

Localisation : Ouvrage RdC (BURG)

dynamique des populations # dynamique de sélection # génétique des populations # sélection # mutation # équation non-linéaire # équation intégrodifférentielle # théorème de Perron-Frobenius # stabilité # modèle à multilocus # modèle de sélection pas à pas

92D10 ; 92-02

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- 314 p.
ISBN 978-3-540-20832-7

Lecture notes in mathematics , 1837

Localisation : Collection 1er étage

statistique # probabilité # génétique des populations # inférence # calcul stochastique # échantillonnage # méthode de Monte-Carlo # méthode bayesienne # chaîne de Markov # marche aléatoire # environnement

60-06 ; 60-01 ; 62-01 ; 62-06 ; 92D10 ; 60K37 ; 60F05 ; 60F10

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- 236 p.
ISBN 978-0-8218-3753-5

DIMACS series in discrete mathematics and theoretical computer science , 0071

Localisation : Collection 1er étage

épidémologie # maladie contagieuse # évolution # équation différentielle # EDP # statistiques appliquées à la biologie # médecine # biomathématiques # application biomédicale # génétique # dynamique des populations

34C60 ; 35Q80 ; 62P10 ; 92B05 ; 92C50 ; 92C60 ; 92D10 ; 92D15 ; 92D25 ; 92D30

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