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An extension of coupled maps is given which allows for the growth of the number of elements, and is inspired by the cell differentiation problem. The growth of elements is made possible first by clustering the phases, and then by…

adap-org · Physics 2009-10-28 Kunihiko Kaneko

A key process in the life of any multicellular organism is its development from a single egg into a full grown adult. The first step in this process often consists of forming a tissue layer out of randomly placed cells on the surface of the…

In many animals parental gametes unite to form a zygote that develops into an adult with gonads that, in turn, produce gametes. Interruption of this germinal cycle by prezygotic or postzygotic reproductive barriers can result in two…

Populations and Evolution · Quantitative Biology 2019-03-12 Donald R. Forsdyke

Cell differentiation in multicellular organisms is a complex process whose mechanism can be understood by a reductionist approach, in which the individual processes that control the generation of different cell types are identified.…

Teams of cooperating sperm have been found across several vertebrate and invertebrate species, ranging from sperm pairs to massive aggregates containing hundreds of cells. Although the biochemical mechanisms involved in the aggregation…

Biological Physics · Physics 2018-05-31 D. J. G. Pearce , L. A. Hoogerbrugge , K. A. Hook , H. S. Fisher , L. Giomi

The mechanism responsible for the compaction of the genomic DNA of bacteria inside a structure called the nucleoid is a longstanding but still lively debated question. Most puzzling is the fact that the nucleoid occupies only a small…

Biological Physics · Physics 2018-09-20 Marc Joyeux

The epigenetic pathway of a cell as it differentiates from a stem cell state to a mature lineage-committed one has been historically understood in terms of Waddington's landscape, consisting of hills and valleys. The smooth top and…

Cell Behavior · Quantitative Biology 2013-06-12 Mithun K. Mitra , Paul R. Taylor , Chris J. Hutchison , T. C. B. McLeish , Buddhapriya Chakrabarti

Phylogenetic trees are binary nonplanar trees with labelled leaves, and plane oriented recursive trees are planar trees with an increasing labelling. Both families are enumerated by double factorials. A bijection is constructed, using the…

Combinatorics · Mathematics 2017-09-19 Helmut Prodinger

We generalize the standard Penna bit-string model of biological ageing by assuming that each deleterious mutation diminishes the survival probability in every time interval by a small percentage. This effect is added to the usual lethal but…

Statistical Mechanics · Physics 2015-06-24 J. S. Sá Martins , D. Stauffer

Life forms exhibit such a degree of exquisite organization that it seems impossible that they could have developed out of a process of trial and error, as intimated by the theory of Darwinian evolution. In this general public paper I…

Populations and Evolution · Quantitative Biology 2019-01-08 Luca Peliti

We begin a systematic study of the enumerative combinatorics of mixed succession rules, which are succession rules such that, in the associated generating tree, the nodes are allowed to produce their sons at several different levels…

Combinatorics · Mathematics 2008-06-05 Silvia Bacchelli , Luca Ferrari , Renzo Pinzani , Renzo Sprugnoli

This paper develops a simplified model for sexual replication within the quasispecies formalism. We assume that the genomes of the replicating organisms are two-chromosomed and diploid, and that the fitness is determined by the number of…

Populations and Evolution · Quantitative Biology 2007-05-23 Emmanuel Tannenbaum

The emergence of longer information-carrying and functional nucleotide polymers from random short strands was a major stepping stone at the dawn of life. But the formation of those polymers under temperature oscillation required some form…

Biological Physics · Physics 2020-08-19 Patrick W. Kudella , Alexei V. Tkachenko , Sergei Maslov , Dieter Braun

We propose an alternative to the prevailing two origin of life narratives, one based on a replicator first hypothesis, and one based on a metabolism first hypothesis. Both hypotheses have known difficulties: All known evolvable molecular…

Populations and Evolution · Quantitative Biology 2017-06-20 Nicholas Guttenberg , Nathaniel Virgo , Chris Butch , Norman Packard

A probabilistic reconstruction of genealogies in a polyploid population (from 2x to 4x) is investigated, by considering genetic data analyzed as the probability of allele presence in a given genotype. Based on the likelihood of all possible…

Populations and Evolution · Quantitative Biology 2018-11-29 Frédéric Proïa , Fabien Panloup , Chiraz Trabelsi , Jérémy Clotault

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

We propose a class of evolutionary models that involves an arbitrary exchangeable process as the breeding process and different selection schemes. In those models, a new genome is born according to the breeding process, and then a genome is…

Neural and Evolutionary Computing · Computer Science 2020-08-25 Jüri Lember , Chris Watkins

Cells regulate fates and complex body plans using spatiotemporal signaling cascades that alter gene expression. Enhancers, short DNA sequences (50-150 base pairs), help coordinate these cascades by attracting regulatory proteins to enhance…

Molecular Networks · Quantitative Biology 2024-02-15 Lucas Hedström , Ralf Metzler , Ludvig Lizana

Most genes are part of larger families of evolutionary related genes. The history of gene families typically involves duplications and losses of genes as well as horizontal transfers into other organisms. The reconstruction of detailed gene…

Populations and Evolution · Quantitative Biology 2023-04-25 Marc Hellmuth , Peter F. Stadler

As a first approximation, early embryos may be modeled as foams whose shape depends on the surface tensions of each cell. However it has been remarked that exist line tensions at polarized exterior cellular interfaces (apical). In order to…

Numerical Analysis · Mathematics 2025-04-10 Fabrice Delbary