Search Results - "Pfaffelhuber, P."
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Fixation probabilities and hitting times for low levels of frequency-dependent selection
Published in Theoretical population biology (01-12-2018)“…In population genetics, diffusions on the unit interval are often used to model the frequency path of an allele. In this setting we derive approximations for…”
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The independent loss model with ordered insertions for the evolution of CRISPR spacers
Published in Theoretical population biology (01-02-2018)“…Today, the CRISPR (clustered regularly interspaced short palindromic repeats) region within bacterial and archaeal genomes is known to encode an adaptive…”
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3
Linkage Disequilibrium Under Genetic Hitchhiking in Finite Populations
Published in Genetics (Austin) (01-05-2008)“…The model of genetic hitchhiking predicts a reduction in sequence diversity at a neutral locus closely linked to a beneficial allele. In addition, it has been…”
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4
Selective sweeps for recessive alleles and for other modes of dominance
Published in Journal of mathematical biology (01-09-2011)“…A selective sweep describes the reduction of linked genetic variation due to strong positive selection. If s is the fitness advantage of a homozygote for the…”
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5
The tree length of an evolving coalescent
Published in Probability theory and related fields (01-12-2011)“…A well-established model for the genealogy of a large population in equilibrium is Kingman’s coalescent. For the population together with its genealogy…”
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A Brownian ratchet for protein translocation including dissociation of ratcheting sites
Published in Journal of mathematical biology (01-02-2013)“…We study a model for the translocation of proteins across membranes through a nanopore using a ratcheting mechanism. When the protein enters the nanopore it…”
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7
THE DIVERSITY OF A DISTRIBUTED GENOME IN BACTERIAL POPULATIONS
Published in The Annals of applied probability (01-10-2010)“…The distributed genome hypothesis states that the set of genes in a population of bacteria is distributed over all individuals that belong to the specific…”
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The process of most recent common ancestors in an evolving coalescent
Published in Stochastic processes and their applications (01-12-2006)“…Consider a haploid population which has evolved through an exchangeable reproduction dynamics, and in which all individuals alive at time t have a most recent…”
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MULLER'S RATCHET WITH COMPENSATORY MUTATIONS
Published in The Annals of applied probability (01-10-2012)“…We consider an infinite-dimensional system of stochastic differential equations describing the evolution of type frequencies in a large population. The type of…”
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Approximating genealogies for partially linked neutral loci under a selective sweep
Published in Journal of mathematical biology (01-09-2007)“…Consider a genetic locus carrying a strongly beneficial allele which has recently fixed in a large population. As strongly beneficial alleles fix quickly,…”
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11
Approximate Genealogies Under Genetic Hitchhiking
Published in Genetics (Austin) (01-12-2006)“…The rapid fixation of an advantageous allele leads to a reduction in linked neutral variation around the target of selection. The genealogy at a neutral locus…”
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12
Mean-field limits for non-linear Hawkes processes with excitation and inhibition
Published in Stochastic processes and their applications (01-11-2022)“…We study a multivariate, non-linear Hawkes process ZN on the complete graph with N nodes. Each vertex is either excitatory (probability p) or inhibitory…”
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13
Estimating mutation distances from unaligned genomes
Published in Journal of computational biology (01-10-2009)“…Abstract Alignment-free distance measures are generally less accurate but more efficient than traditional alignment-based metrics. In the context of genome…”
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14
Markov branching processes with disasters: extinction, survival and duality to p-jump processes
Published 07-01-2019“…A $p$-jump process is a piecewise deterministic Markov process with jumps by a factor of $p$. We prove a limit theorem for such processes on the unit interval…”
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94 IN SILICO MODELLING OF HUMAN LIPOPROTEIN METABOLISM
Published in Atherosclerosis. Supplements (01-06-2011)Get full text
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Realistic extensions of a Brownian ratchet for protein translocation
Published 26-07-2011“…We study a model for the translocation of proteins across membranes through a nanopore using a ratcheting mechanism. When the protein enters the nanopore it…”
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17
Approximating genealogies for partially linked neutral loci under a selective sweep
Published 08-11-2006“…Consider a genetic locus carrying a strongly beneficial allele which has recently fixed in a large population. As strongly beneficial alleles fix quickly,…”
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18
Muller's ratchet with compensatory mutations
Published 19-10-2012“…Annals of Applied Probability 2012, Vol. 22, No. 5, 2108-2132 We consider an infinite-dimensional system of stochastic differential equations describing the…”
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The process of most recent common ancestors in an evolving coalescent
Published 30-11-2005“…Consider a haploid population which has evolved through an exchangeable reproduction dynamics, and in which all individuals alive at time $t$ have a most…”
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The diversity of a distributed genome in bacterial populations
Published 05-11-2010“…Annals of Applied Probability 2010, Vol. 20, No. 5, 1567-1606 The distributed genome hypothesis states that the set of genes in a population of bacteria is…”
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