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We study the large population limit of a stochastic individual-based model which describes the time evolution of a diploid hermaphroditic population reproducing according to Mendelian rules. In [Neukirch, Bovier, 2016] it is proved that…

Probability · Mathematics 2018-01-23 Anton Bovier , Loren Coquille , Rebecca Neukirch

A blood cell lineage consists of several consecutive developmental stages from the pluripotent or multipotent stem cell to a particular stage of terminally differentiated cells. There is considerable interest in identifying the key…

Genomics · Quantitative Biology 2019-12-05 Maryam Nazarieh , Volkhard Helms

The need for structures capable of accommodating complex evolutionary signals such as those found in, for example, wheat has fueled research into phylogenetic networks. Such structures generalize the standard phylogenetic tree model by also…

Combinatorics · Mathematics 2015-11-30 Philippe Gambette , Katharina T. Huber , Guillaume E. Scholz

Many life-history traits, like the age at maturity or adult longevity, are important determinants of the generation time. For instance, semelparous species whose adults reproduce once and die have shorter generation times than iteroparous…

Populations and Evolution · Quantitative Biology 2016-04-22 Mélissa Verin , Salomé Bourg , Frédéric Menu , Etienne Rajon

Biomolecular networks have already found great utility in characterizing complex biological systems arising from pair-wise interactions amongst biomolecules. Here, we review how graph theoretical approaches can be applied not only for a…

Molecular Networks · Quantitative Biology 2018-12-03 Heeralal Janwa , Steven E. Massey , Julian Velev , Bud Mishra

The long-term growth rate of populations in varying environments quantifies the evolutionary value of processing the information that biological individuals inherit from their ancestors and acquire from their environment. Previous models…

Populations and Evolution · Quantitative Biology 2021-06-30 Anton S Zadorin , Olivier Rivoire

We have simulated the evolution of sexually reproducing populations composed of individuals represented by diploid genomes. A series of eight bits formed an allele occupying one of 128 loci of one haploid genome (chromosome). The…

Genomics · Quantitative Biology 2009-11-04 S. Cebrat , D. Stauffer , J. S. Sa Martins , S. Moss de Oliveira , P. M. C. de Oliveira

For understanding the origin of life, it is essential to explain the development of a compartmentalized structure, which undergoes growth and division, from a set of chemical reactions. In this study, a hypercycle with two chemicals that…

Cell Behavior · Quantitative Biology 2015-05-18 Atsushi Kamimura , Kunihiko Kaneko

Sperm motility is a prerequisite for male fertility. Enhancing the concentration of motile sperms in assisted reproductive technologies - for human and animal reproduction - is typically achieved through aggressive methods such as…

A new tree model is introduced based on ordered trees, by distinguishing exactly one child of each node that \emph{has} children. The basic enumeration leads to a cubic equation of the generating function. The extraction of its coefficients…

Combinatorics · Mathematics 2026-02-27 Helmut Prodinger

Phylogenetic networks generalize phylogenetic trees by allowing the modelization of events of reticulate evolution. Among the different kinds of phylogenetic networks that have been proposed in the literature, the subclass of binary…

Data Structures and Algorithms · Computer Science 2020-07-01 Gabriel Cardona , Joan Carles Pons , Celine Scornavacca

Phylogenetic trees are simple models of evolutionary processes. They describe conditionally independent divergent evolution of taxa from common ancestors. Phylogenetic trees commonly do not have enough flexibility to adequately model all…

Populations and Evolution · Quantitative Biology 2025-11-11 Jonathan D. Mitchell , Barbara R. Holland

Sporulation in Bacillus subtilis serves as a paradigm for the development of two different cell types (mother cell and prespore) from a single cell. The mechanism by which the two different developmental programs are initiated has been much…

Molecular Networks · Quantitative Biology 2007-05-23 Dagmar Iber , Joanna Clarkson , Michael D Yudkin , Iain D Campbell

Competition among gametes for fertilization imposes strong selection. For external fertilizers, this selective pressure extends to eggs for which spawning conditions can range from sperm limitation (competition among eggs) to sexual…

Populations and Evolution · Quantitative Biology 2015-12-14 Daniel K. Okamoto

One of the most challenging issues of evolutionary biology concerns speciation, the emergence of new species from an initial one. The huge amount of species found in nature demands a simple and robust mechanism. Yet, no consensus has been…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Catarina R. Almeida , Fernão Vistulo de Abreu

Understanding how growth induces form is a longstanding biological question. Many studies concentrated on the shapes of plant cells, fungi or bacteria. Some others have shown the importance of the mechanical properties of bacterial walls…

Biological Physics · Physics 2007-05-23 Arezki Boudaoud

Understanding the patterns and processes of diversification of life in the planet is a key challenge of science. The Tree of Life represents such diversification processes through the evolutionary relationships among the different taxa, and…

Populations and Evolution · Quantitative Biology 2011-06-16 E. Alejandro Herrada , Claudio J. Tessone , Konstantin Klemm , Victor M. Eguiluz , Emilio Hernandez-Garcia , Carlos M. Duarte

We construct a model of cell reprogramming (the conversion of fully differentiated cells to a state of pluripotency, known as induced pluripotent stem cells, or iPSCs) which builds on key elements of cell biology viz. cell cycles and cell…

Cell Behavior · Quantitative Biology 2017-09-25 R Hannam , A Annibale , R Kuehn

Proteins participating in a protein-protein interaction network can be grouped into homology classes following their common ancestry. Proteins added to the network correspond to genes added to the classes, so that the dynamics of the two…

Molecular Networks · Quantitative Biology 2013-05-30 Arianna Bottinelli , Bruno Bassetti , Marco Cosentino Lagomarsino , Marco Gherardi

The origin of life is shrouded in mystery, with few surviving clues, obscured by evolutionary competition. Previous reviews have touched on the complementary approaches of top-down and bottom-up synthetic biology to augment our…

Populations and Evolution · Quantitative Biology 2022-07-18 Ivan Ivanov , Stoyan K. Smoukov , Ehsan Nourafkan , Katharina Landfester , Petra Schwille
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