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We study a population of $N$ individuals evolving according to a biparental Moran model with two types, one being advantaged compared to the other. The advantage is conferred by a Mendelian mutation, which reduces the death probability of…

Probability · Mathematics 2026-03-24 Camille Coron , Yves Le Jan

We analyze algorithmic and computational aspects of biological phenomena, such as replication and programmed death, in the context of machine learning. We use two different measures of neuron efficiency to develop machine learning…

Neural and Evolutionary Computing · Computer Science 2022-07-12 Andrey Grabovsky , Vitaly Vanchurin

Standard evolutionary theories of aging and mortality, implicitly based on assumptions of spatial averaging, hold that natural selection cannot favor shorter lifespan without direct compensating benefit to individual reproductive success.…

Populations and Evolution · Quantitative Biology 2015-06-15 Justin Werfel , Donald E. Ingber , Yaneer Bar-Yam

The primary aim of this work is to explore how proteins point mutations impact their marginal stability and, hence, their evolvability. With this purpose, we show that the use of four classic notions, namely, those from Leibniz & Kant…

Other Quantitative Biology · Quantitative Biology 2021-11-10 J. A. Vila

The outcomes of evolution are determined by which mutations occur and fix. In rapidly adapting microbial populations, this process is particularly hard to predict because lineages with different beneficial mutations often spread…

Populations and Evolution · Quantitative Biology 2014-02-17 Evgeni M. Frenkel , Benjamin H. Good , Michael M. Desai

Infant deaths and old age deaths are very different. The former are mostly due to severe congenital malformations of one or a small number of specific organs. On the contrary, old age deaths are largely the outcome of a long process of…

Biological Physics · Physics 2021-06-17 Peter Richmond , Bertrand M. Roehner

Motivation: Since susceptibility to diseases increases with age, studying aging gains importance. Analyses of gene expression or sequence data, which have been indispensable for investigating aging, have been limited to studying genes and…

Computational Engineering, Finance, and Science · Computer Science 2013-07-15 Fazle Elahi Faisal , Tijana Milenkovic

The paper discusses a connection between asymmetric reproduction -- that is reproduction in a parent-child relationship where the parent does not mutate during reproduction --, the fact that all non-viral lifeforms bear genes of their…

Populations and Evolution · Quantitative Biology 2015-08-11 Norbert Michael Mayer

In large populations, multiple beneficial mutations may be simultaneously spreading. In asexual populations, these mutations must either arise on the same background or compete against each other. In sexual populations, recombination can…

Populations and Evolution · Quantitative Biology 2013-12-19 D. B. Weissman , O. Hallatschek

The population dynamics theory of B cells in a typical germinal center could play an important role in revealing how affinity maturation is achieved. However, the existing models encountered some conflicts with experiments. To resolve these…

Populations and Evolution · Quantitative Biology 2015-05-18 Jingshan Zhang , Eugene I. Shakhnovich

Mutations are typically classified by their effects on the nucleotide sequence and by their size. Here, we argue that if our main aim is to understand the effect of mutations on evolutionary outcomes (such as adaptation or speciation), we…

Other Quantitative Biology · Quantitative Biology 2020-09-30 Emma L. Berdan , Alexandre Blanckaert , Tanja Slotte , Alexander Suh , Anja M. Westram , Inês Fragata

First, we revisit the stochastic Luria-Delbr\"uck model: a classic two-type branching process which describes cell proliferation and mutation. We prove limit theorems and exact results for the mutation times, clone sizes, and number of…

Probability · Mathematics 2018-09-05 David Cheek , Tibor Antal

How long people live depends on their health, and how it changes with age. Individual health can be tracked by the accumulation of age-related health deficits. The fraction of age-related deficits is a simple quantitative measure of human…

Quantitative Methods · Quantitative Biology 2016-03-23 Swadhin Taneja , Arnold B. Mitnitski , Kenneth Rockwood , Andrew D. Rutenberg

When predicting the fate and consequences of recurring deleterious mutations in self-fertilising populations most models developed make the assumption that populations have discrete non-overlapping generations. This makes them biologically…

Populations and Evolution · Quantitative Biology 2016-04-22 Diala Abu Awad , Viet-Chi Tran , Sylvain Billiard

We consider a stochastic model for an evolving population. We show that in the presence of genotype extinctions the population dies out for a low mutation probability but may survive for a high mutation probability. This turns upside down…

Populations and Evolution · Quantitative Biology 2014-10-24 Rinaldo B. Schinazi

BACKGROUND: An important question is whether evolution favors properties such as mutational robustness or evolvability that do not directly benefit any individual, but can influence the course of future evolution. Functionally similar…

Populations and Evolution · Quantitative Biology 2009-04-16 Jesse D. Bloom , Zhongyi Lu , David Chen , Alpan Raval , Ophelia S. Venturelli , Frances H. Arnold

The emergence of a predominant phenotype within a cell population is often triggered by a rare accumulation of DNA mutations in a single cell. For example, tumors may be initiated by a single cell in which multiple mutations cooperate to…

Tissues and Organs · Quantitative Biology 2018-11-21 Philip Greulich , Benjamin D. Simons

Fitness effects of mutations fall on a continuum ranging from lethal to deleterious to beneficial. The distribution of fitness effects (DFE) among random mutations is an essential component of every evolutionary model and a mathematical…

Populations and Evolution · Quantitative Biology 2011-05-04 C Scott Wylie , Eugene I Shakhnovich

We present a model for evolving agents using both genetic and cultural inheritance mechanisms. Within each agent our model maintains two distinct information stores we call the genome and the memome. Processes of adaptation are modeled as…

Neural and Evolutionary Computing · Computer Science 2016-04-26 Chris Marriott , Jobran Chebib

We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the…

Populations and Evolution · Quantitative Biology 2025-05-28 Manuel Esser , Anna Kraut