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Most of the DNA that composes a complex organism is non-coding and defined as junk. Even the coding part is composed of genes that affect the phenotype differently. Therefore, a random mutation has an effect on the specimen fitness that…

Populations and Evolution · Quantitative Biology 2021-07-19 Mattia Miotto , Lorenzo Monacelli

Feedback loops are major components of biochemical systems. Many systems show multiple such (positive or negative) feedback loops. Nevertheless, very few quantitative analyses address the question how such multiple feedback loops evolved.…

Quantitative Methods · Quantitative Biology 2010-03-08 M. Hafner , H. Koeppl , A. Wagner

We propose a model to characterize how a diffusing population adapts under a time periodic selection, while its environment undergoes shifts and size changes, leading to significant differences with classical results on fixed domains. After…

Analysis of PDEs · Mathematics 2025-06-05 Matthieu Alfaro , Adel Blouza , Nessim Dhaouadi

In classical evolutionary theory, genetic variation provides the source of heritable phenotypic variation on which natural selection acts. Against this classical view, several theories have emphasized that developmental variability and…

Populations and Evolution · Quantitative Biology 2011-11-08 Steven A. Frank

We propose a stochastic model for evolution through mutation and natural selection of a population that evolves on a $\bbT_d^+$ tree. We think of this model as a way of describing the evolution fitness landscape of a population. We obtain…

Probability · Mathematics 2021-04-13 Carolina Grejo , Fabio Lopes , Fábio Machado , Alejandro Roldán-Correa

Much of our understanding of ecological and evolutionary mechanisms derives from analysis of low-dimensional models: with few interacting species, or few axes defining "fitness". It is not always clear to what extent the intuition derived…

Populations and Evolution · Quantitative Biology 2018-02-14 Mikhail Tikhonov , Remi Monasson

The importance of mutator clones in the adaptive evolution of asexual populations is not fully understood. Here we address this problem by using an ab initio microscopic model of living cells, whose fitness is derived directly from their…

Biomolecules · Quantitative Biology 2009-02-17 Muyoung Heo , Louis Kang , Eugene Shakhnovich

We extend our study of a simple model of biological coevolution to its statistical properties. Staring with a complete description in terms of a master equation, we provide its relation to the deterministic evolution equations used in…

Populations and Evolution · Quantitative Biology 2007-05-23 R. K. P. Zia , Per Arne Rikvold

Existing theoretical models of evolution focus on the relative fitness advantages of different mutants in a population while the dynamic behavior of the population size is mostly left unconsidered. We here present a generic stochastic model…

Populations and Evolution · Quantitative Biology 2010-10-20 Anna Melbinger , Jonas Cremer , Erwin Frey

Current evolutionary biology models usually assume that a phenotype undergoes gradual change. This is in stark contrast to biological intuition, which indicates that change can also be punctuated-the phenotype can jump. Such a jump could…

Populations and Evolution · Quantitative Biology 2020-08-07 Krzysztof Bartoszek

Evolution is the fundamental physical process that gives rise to biological phenomena. Yet it is widely treated as a subset of population genetics, and thus its scope is artificially limited. As a result, the key issues of how rapidly…

Populations and Evolution · Quantitative Biology 2017-08-23 Nigel Goldenfeld , Carl Woese

Due to the conventional distinction between ecological (rapid) and evolutionary (slow)timescales, ecological and population models to date have typically ignored the effects of evolution. Yet the potential for rapid evolutionary change has…

Populations and Evolution · Quantitative Biology 2012-11-20 Laura E. Jones , Stephen P. Ellner

Developmental bias plays a major role in phenotypic evolution. Some researchers have argued that phenotypes, regulated by development, can only evolve along restricted trajectory under certain scenarios, such as the case for mammalian molar…

Populations and Evolution · Quantitative Biology 2023-11-15 Yue Zhang

Living systems adapt to various environmental conditions by changing their internal states. Inspired by gene expression and epigenetic modification dynamics, we herein propose a generic mechanism for adaptation by combining fast oscillatory…

Quantitative Methods · Quantitative Biology 2022-09-23 Yuuki Matsushita , Kunihiko Kaneko

Highly-diverse ecosystems exhibit a broad distribution of population sizes and species turnover, where species at high and low abundances are exchanged over time. We show that these two features generically emerge in the fluctuating phase…

Populations and Evolution · Quantitative Biology 2024-01-09 Thibaut Arnoulx de Pirey , Guy Bunin

Evolution is a dynamic process. The two classical forces of evolution are mutation and selection. Assuming small mutation rates, evolution can be predicted based solely on the fitness differences between phenotypes. Predicting an…

Populations and Evolution · Quantitative Biology 2015-03-23 Benedikt Bauer , Chaitanya S. Gokhale

We develop a ``unified'' model that describes both ``micro'' and ``macro'' evolutions within a single theoretical framework. The eco-system is described as a dynamic network; the population dynamics at each node of this network describes…

Statistical Mechanics · Physics 2013-05-29 Debashish Chowdhury , Dietrich Stauffer , Ambarish Kunwar

The concept of evolutionary development of structures constituted a \emph{real} revolution in biology: it was possible to understand how the very complex structures of life can arise in an out-of-equilibrium system. The investigation of…

Populations and Evolution · Quantitative Biology 2009-08-27 Franco Bagnoli

We study several approaches for constructing a minimal model of Universe evolution by matching different stages of scale factor laws. We discuss the continuity in the transitions among the stages and the time variables involved. We develop…

General Relativity and Quantum Cosmology · Physics 2007-05-23 M. P. Infante , N. Sanchez

We are interested in the impact of natural selection in a prey-predator community. We introduce an individual-based model of the community that takes into account both prey and predator phenotypes. Our aim is to understand the phenotypic…

Populations and Evolution · Quantitative Biology 2015-02-19 Manon Costa , Céline Hauzy , Nicolas Loeuille , Sylvie Méléard
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