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Continuous-time branching processes describe the evolution of a population whose individuals generate a random number of children according to a birth process. Such branching processes can be used to understand preferential attachment…

Probability · Mathematics 2017-11-10 Alessandro Garavaglia , Remco van der Hofstad , Gerhard Woeginger

It is well known that a stable matching in a many-to-one matching market with couples need not exist. We introduce a new matching algorithm for such markets and show that for a general class of large random markets the algorithm will find a…

Computer Science and Game Theory · Computer Science 2015-03-17 Itai Ashlagi , Mark Braverman , Avinatan Hassidim

The research on mortality is an active area of research for any country where the conclusions are driven from the provided data and conditions. The domain knowledge is an essential but not a mandatory skill (though some knowledge is still…

Machine Learning · Computer Science 2020-09-14 Yasir Nadeem , Awais Ahmed

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

Sexually reproducing populations with small number of individuals may go extinct by stochastic fluctuations in sex determination, causing all their members to become male or female in a generation. In this work we calculate the time to…

Populations and Evolution · Quantitative Biology 2012-10-24 David M. Schneider , Eduardo do Carmo , Yaneer Bar-Yam , Marcus A. M. de Aguiar

New models for evolutionary processes of mutation accumulation allow hypotheses about the age-specificity of mutational effects to be translated into predictions of heterogeneous population hazard functions. We apply these models to…

Populations and Evolution · Quantitative Biology 2009-08-27 Kenneth W. Wachter , David R. Steinsaltz , Steven N. Evans

Repetitions within a given genealogical tree provides some information about the degree of consanguineity of a population. They can be analyzed with techniques usually employed in statistical physics when dealing with fixed point…

Statistical Mechanics · Physics 2009-10-31 Paolo De Los Rios , Oscar Pla

We discovered a dynamic phase transition induced by sexual reproduction. The dynamics is a pure Darwinian rule with both fundamental ingredients to drive evolution: 1) random mutations and crossings which act in the sense of increasing the…

Populations and Evolution · Quantitative Biology 2009-11-13 P. M. C. de Oliveira , S. Moss de Oliveira , D. Stauffer , S. Cebrat , A. Pekalski

The gradual accumulation of damage and dysregulation during the aging of living organisms can be quantified. Even so, the aging process is complex and has multiple interacting physiological scales -- from the molecular to cellular to whole…

Quantitative Methods · Quantitative Biology 2021-05-06 Spencer Farrell , Garrett Stubbings , Kenneth Rockwood , Arnold Mitnitski , Andrew Rutenberg

What is aging? Mechanistic answers to this question remain elusive despite decades of research. Here, we propose a mathematical model of cellular aging based on a model gene interaction network. Our network model is made of only non-aging…

Molecular Networks · Quantitative Biology 2023-09-12 Hong Qin

We present some simple computer simulations that indicate that at short time aging is realized in a simple model of binary glasses. It is interesting to note that modest computer simulations are enough to evidenziate this effect. We also…

Disordered Systems and Neural Networks · Physics 2008-02-03 Giorgio Parisi

Motivated by the wide range of known self-replicating systems, some far from genetics, we study a system composed by individuals having an internal dynamics with many possible states that are partially stable, with varying mutation rates.…

Biological Physics · Physics 2015-10-07 Tommaso Brotto , Guy Bunin , Jorge Kurchan

Observations of the evolution of species groups in nature, such as well recognized Galapagos finches, have motivated much theoretical research aimed at understanding the processes associated with such radiations. The Penna model is one such…

Populations and Evolution · Quantitative Biology 2007-05-23 K. Luz-Burgoa , Tony Dell , Toshinori Okuyama

The question as to why most higher organisms reproduce sexually has remained open despite extensive research, and has been called "the queen of problems in evolutionary biology". Theories dating back to Weismann have suggested that the key…

Populations and Evolution · Quantitative Biology 2015-09-04 Andrew Lewis-Pye , Antonio Montalban

Several mating restriction techniques have been implemented in Evolutionary Algorithms to promote diversity. From similarity-based selection to niche preservation, the general goal is to avoid premature convergence by not having fitness…

Neural and Evolutionary Computing · Computer Science 2025-04-09 José Maria Simões , Nuno Lourenço , Penousal Machado

Social networks have turned out to be of fundamental importance both for our understanding human sociality and for the design of digital communication technology. However, social networks are themselves based on dyadic relationships and we…

Physics and Society · Physics 2012-04-26 Vasyl Palchykov , Kimmo Kaski , János Kertész , Albert-László Barabási , Robin I. M. Dunbar

We examine what happens in a population when it experiences an abrupt change in surrounding conditions. Several cases of such "abrupt transitions" for both physical and living social systems are analyzed from which it can be seen that all…

Physics and Society · Physics 2016-03-23 Peter Richmond , Bertrand M. Roehner

In the Stable Marriage Problem two sets of agents must be paired according to mutual preferences, which may happen to conflict. We present two generalizations of its sex-oriented version, aiming to take into account correlations between the…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. Caldarelli , Andrea Capocci , Paolo Laureti

The effect of power-law aging on a contact process is studied by simulation and using a mean-field approach. We find that the system may approach its stationary state in a nontrivial, nonmonotonous way. For the particular value of the aging…

Statistical Mechanics · Physics 2009-10-31 S. N. Dorogovtsev , J. F. F. Mendes

Which factors govern the evolution of mutation rates and emergence of species? Here, we address this question using a first principles model of life where population dynamics of asexual organisms is coupled to molecular properties and…

Populations and Evolution · Quantitative Biology 2009-11-13 Muyoung Heo , Louis Kang , Eugene I. Shakhnovich