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The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

History and Overview · Mathematics 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

Combining a set of phylogenetic trees into a single phylogenetic network that explains all of them is a fundamental challenge in evolutionary studies. Existing methods are computationally expensive and can either handle only small numbers…

Populations and Evolution · Quantitative Biology 2023-04-07 Giulia Bernardini , Leo van Iersel , Esther Julien , Leen Stougie

The origins of life stands among the great open scientific questions of our time. While a number of proposals exist for possible starting points in the pathway from non-living to living matter, these have so far not achieved states of…

Populations and Evolution · Quantitative Biology 2017-05-24 Sara I. Walker

Empirical studies of graphs have contributed enormously to our understanding of complex systems. Known today as network science, what was originally a theoretical study of graphs has grown into a more scientific exploration of communities…

Quantitative Methods · Quantitative Biology 2020-01-01 Ryan E. Langendorf , Debra S. Goldberg

Whether or not biodiversity dynamics tend toward stable equilibria remains an unsolved question in ecology and evolution with important implications for our understanding of diversity and its conservation. Phylo/population genetic models…

Populations and Evolution · Quantitative Biology 2017-05-16 A. J. Rominger , I. Overcast , H. Krehenwinkel , R. G. Gillespie , J. Harte , M. J. Hickerson

A simple, heuristic formula with parallels to the Drake Equation is introduced to help focus discussion on open questions for the origins of life in a planetary context. This approach indicates a number of areas where quantitative progress…

Earth and Planetary Astrophysics · Physics 2016-08-17 Caleb Scharf , Leroy Cronin

A classical result, fundamental to evolutionary biology, states that an edge-weighted tree $T$ with leaf set $X$, positive edge weights, and no vertices of degree 2 can be uniquely reconstructed from the set of leaf-to-leaf distances…

Populations and Evolution · Quantitative Biology 2011-07-15 A. W. M. Dress , K. T. Huber , M. Steel

Phylogenetic algebraic geometry is concerned with certain complex projective algebraic varieties derived from finite trees. Real positive points on these varieties represent probabilistic models of evolution. For small trees, we recover…

Algebraic Geometry · Mathematics 2007-06-13 Nicholas Eriksson , Kristian Ranestad , Bernd Sturmfels , Seth Sullivant

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

Populations and Evolution · Quantitative Biology 2025-09-03 S M Rafiuddin

A phylogenetic network is a directed acyclic graph that visualises an evolutionary history containing so-called reticulations such as recombinations, hybridisations or lateral gene transfers. Here we consider the construction of a simplest…

Populations and Evolution · Quantitative Biology 2008-05-16 Leo van Iersel , Steven Kelk

Phylogenetic diversity is a measure for describing how much of an evolutionary tree is spanned by a subset of species. If one applies this to the (unknown) subset of current species that will still be present at some future time, then this…

Subcellular Processes · Quantitative Biology 2009-09-29 Beata Faller , Fabio Pardi , Mike Steel

The poly-tRNA model was recently presented for the origin and evolution of genetic coding. This model has led to a rather precise description of what might have occurred at the beginning of protein synthesis in the first life form. Here, we…

Populations and Evolution · Quantitative Biology 2020-08-17 Jacques H. Daniel

The current theory of evolution is almost the one Darwin and Wallace proposed two centuries ago and the following discoveries e.g., Mendelian genetics and neutral mutation theory have not made significant modifications. The current…

Populations and Evolution · Quantitative Biology 2023-09-14 Reza Rahmanzadeh

Understanding the evolution of a set of genes or species is a fundamental problem in evolutionary biology. The problem we study here takes as input a set of trees describing {possibly discordant} evolutionary scenarios for a given set of…

Data Structures and Algorithms · Computer Science 2019-07-10 Cedric Chauve , Mark Jones , Manuel Lafond , Céline Scornavacca , Mathias Weller

Phylogenetic trees are a central tool in understanding evolution. They are typically inferred from sequence data, and capture evolutionary relationships through time. It is essential to be able to compare trees from different data sources…

Populations and Evolution · Quantitative Biology 2017-10-31 Michelle Kendall , Caroline Colijn

The origin of life on Earth via the spontaneous emergence of a protocell prior to Darwinian evolution remains a fundamental open question in physics and chemistry. Here, we develop a conceptual framework based on information theory and…

Populations and Evolution · Quantitative Biology 2025-12-23 Robert G. Endres

This paper makes a number of connections between life and various facets of genetic and evolutionary algorithms research. Specifically, it addresses the topics of adaptation, multiobjective optimization, decision making, deception, and…

Neural and Evolutionary Computing · Computer Science 2016-08-31 Fernando G. Lobo

A classic problem in computational biology is constructing a phylogenetic tree given a set of distances between n species. In most cases, a tree structure is too constraining. We consider a circular split network, a generalization of a tree…

Combinatorics · Mathematics 2016-07-26 Satyan L. Devadoss , Samantha Petti

Information is a key concept in evolutionary biology. Information is stored in biological organism's genomes, and used to generate the organism as well as to maintain and control it. Information is also "that which evolves". When a…

Populations and Evolution · Quantitative Biology 2012-07-25 Christoph Adami

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