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Biological systems must be robust for stable function against perturbations, but robustness alone is not sufficient. The ability to switch between appropriate states (phenotypes) in response to different conditions is essential for…

Populations and Evolution · Quantitative Biology 2023-04-25 Ayaka Sakata , Kunihiko Kaneko

During bouts of evolutionary diversification, such as adaptive radiations, the emerging species cluster around different locations in phenotype space, How such multimodal patterns in phenotype space can emerge from a single ancestral…

Populations and Evolution · Quantitative Biology 2007-11-19 Michael Doebeli , Hendrik J. Blok , Olof Leimar , Ulf Dieckmann

Building upon kinetic theory approaches for multi-agent systems and generalising them to scenarios where the total mass of the system is not conserved, we develop a modelling framework for phenotype-structured populations that makes it…

Analysis of PDEs · Mathematics 2025-10-20 Emanuele Bernardi , Tommaso Lorenzi , Andrea Tosin

Within the framework of population genetics we consider the evolution of an asexual haploid population under the effect of a rapidly varying natural selection (microevolution). We focus on the case in which the environment exerting…

Populations and Evolution · Quantitative Biology 2015-06-22 Stefano Bo , Andrea Mazzolini , Antonio Celani

Chemotaxis-driven invasions have been proposed across a broad spectrum of biological processes, from cancer to ecology. The influential system of equations introduced by Keller and Segel has proven a popular choice in the modelling of such…

Populations and Evolution · Quantitative Biology 2022-02-02 Tommaso Lorenzi , Kevin J Painter

Cellular phenotype is characterized by different components such as cell size, protein content and cell cycle time. These are global variables that are the outcome of multiple internal microscopic processes. Accordingly, they display some…

Cell Behavior · Quantitative Biology 2018-05-16 Lee Susman , Maryam Kohram , Harsh Vashistha , Jeffrey T. Nechleba , Hanna Salman , Naama Brenner

Frequency dependent selection and demographic fluctuations play important roles in evolutionary and ecological processes. Under frequency dependent selection, the average fitness of the population may increase or decrease based on…

Populations and Evolution · Quantitative Biology 2015-06-23 Weini Huang , Christoph Hauert , Arne Traulsen

We consider the dynamics imposed by natural selection on the populations of two competing, sexually reproducing, haploid species. In this setting, the fitness of any genome varies over time due to the changing population mix of the…

Populations and Evolution · Quantitative Biology 2024-07-18 Yuval Rabani , Leonard J. Schulman , Alistair Sinclair

This paper introduces a variational formulation of natural selection, paying special attention to the nature of "things" and the way that different "kinds" of "things" are individuated from - and influence - each other. We use the Bayesian…

Populations and Evolution · Quantitative Biology 2023-07-05 Karl Friston , Daniel Ari Friedman , Axel Constant , V. Bleu Knight , Thomas Parr , John O. Campbell

The population is composed of individuals characterised by their genetic strings, phenotypes and ages. We discuss the influence of probabilities of survival of the individuals on the dynamics and phenotypic variability of the population. We…

Biological Physics · Physics 2009-11-10 Iwona Mroz

Mutations in a microbial population can increase the frequency of a genotype not only by increasing its exponential growth rate, but also by decreasing its lag time or adjusting the yield (resource efficiency). The contribution of multiple…

Populations and Evolution · Quantitative Biology 2018-02-15 Michael Manhart , Bharat V. Adkar , Eugene I. Shakhnovich

Multicellular systems play a key role in bioprocess and biomedical engineering. Cell ensembles encountered in these setups show phenotypic variability like size and biochemical composition. As this variability may result in undesired…

Systems and Control · Computer Science 2018-07-16 Armin Küper , Robert Dürr , Steffen Waldherr

The class of epistatic fitness landscapes is much more diverse than the class of non-epistatic landscapes, and so it stands to reason that there exist dynamical phenomena that can only be realized in the presence of epistasis. Here, we…

Populations and Evolution · Quantitative Biology 2015-03-10 David M. McCandlish , Jakub Otwinowski , Joshua B. Plotkin

Biological genotypes do not code directly for phenotypes; developmental physiology is the control layer that separates genomes from capacities ascertained by selection. A key aspect is competency, as cells are not a passive material but…

Populations and Evolution · Quantitative Biology 2022-08-01 Lakshwin Shreesha , Michael Levin

The dynamics of populations is rich, taking into account that both, the individual's actions and the population's fitness are coupled. The way in which an individual chooses a strategy depends off course on the interaction with other…

Biological Physics · Physics 2007-07-20 Juan G. Diaz Ochoa

We introduce and analyse an individual-based evolutionary model, in which a population of genetically diverse organisms compete with each other for limited resources. Through theoretical analysis and stochastic simulations, we show that the…

Populations and Evolution · Quantitative Biology 2012-11-02 Tim Rogers , Alan J. McKane , Axel G. Rossberg

In this paper we develop and test algorithmic techniques to estimate genotypes fitnesses by analysis of observed daily frequency data monitoring the long-term evolution of bacterial populations. In particular, we develop a non-linear least…

Populations and Evolution · Quantitative Biology 2020-10-05 Sergey S. Sarkisov , Ilya Timofeyev , Robert Azencott

A rigorous understanding of how multicellular behaviors arise from the actions of single cells requires quantitative frameworks that bridge the gap between genetic circuits, the arrangement of cells in space, and population-level behaviors.…

Molecular Networks · Quantitative Biology 2016-02-18 Théo Maire , Hyun Youk

Existing studies comparing individual-based models of growing cell populations and their continuum counterparts have mainly focused on homogeneous populations, in which all cells have the same phenotypic characteristics. However,…

Populations and Evolution · Quantitative Biology 2022-06-06 Fiona R Macfarlane , Xinran Ruan , Tommaso Lorenzi

Observation of phenotypic diversity in a population of genetically identical cells is often linked to the stochastic nature of chemical reactions involved in gene regulatory networks. We investigate the distribution of population averaged…

Molecular Networks · Quantitative Biology 2015-06-18 Bhaswati Bhattacharyya , Ziya Kalay