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The aim of this manuscript is to contain the arguments and define the theoretical objects for building a general framework to model population dynamics from the ground up, relying mainly on the probabilistic landscapes defining the dynamics…

Populations and Evolution · Quantitative Biology 2023-04-26 Gui Araujo

This paper describes a 2D particle system in which autopoietic vesicles that are able to grow, repair, and reproduce can emerge from an initial random distribution of individual components. The reproduction process also exhibits inheritance…

Biological Physics · Physics 2024-07-23 Thomas Cabaret

We study the spatial patterns formed by a system of interacting particles where the mobility of any individual is determined by the population crowding at two different spatial scales. In this way we model the behavior of some biological…

Statistical Mechanics · Physics 2015-07-08 Ricardo Martínez-García , Clara Murgui , Emilio Hernández-García , Cristóbal López

Explaining the origin of life requires us to explain how self-replication arises. To be specific, how can a self-replicating entity develop spontaneously from a chemical reaction system in which no reaction is self-replicating? Previously…

Adaptation and Self-Organizing Systems · Physics 2020-12-18 Yu Liu , David Sumpter

There is mounting empirical evidence that many communities of living organisms display key features which closely resemble those of physical systems at criticality. We here introduce a minimal model framework for the dynamics of a community…

Biological Physics · Physics 2020-02-17 Fabio Peruzzo , Mauro Mobilia , Sandro Azaele

While it is well established that self-propelled particles with alignment interactions can exhibit orientational order, the impact of self-replication and annihilation, which are key characteristics in cellular systems, on spatiotemporal…

Populations and Evolution · Quantitative Biology 2025-09-09 Seiya Takamura , Nen Saito

Continuum models for the spatial dynamics of growing cell populations have been widely used to investigate the mechanisms underpinning tissue development and tumour invasion. These models consist of nonlinear partial differential equations…

Tissues and Organs · Quantitative Biology 2019-07-15 Mark AJ Chaplain , Tommaso Lorenzi , Fiona R Macfarlane

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

Autocatalytic processes underlie diverse systems in which replication is triggered at interfaces, including heterogeneous catalysis on solid substrates, enzyme activity at membranes, viral infections, biofilm growth, and spatially…

Chemical Physics · Physics 2026-04-24 Denis S. Grebenkov

To analyze the evolutionary emergence of structural complexity in physical processes we introduce a general, but tractable, model of objects that interact to produce new objects. Since the objects--\emph{$epsilon$-machines}--have well…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 James P. Crutchfield , Olof Gornerup

We demonstrate that a system of self-propelled particles (SPP) exhibits spontaneous symmetry breaking and self-organization in one dimension, in contrast with previous analytical predictions. To explain this surprising result we derive a…

Statistical Mechanics · Physics 2007-05-23 Andras Czirok , Albert-Laszlo Barabasi , Tamas Vicsek

Systems of self-propelled particles (SPP) interacting by a velocity alignment mechanism in the presence of noise exhibit a rich clustering dynamics. It can be argued that clusters are responsible for the distribution of (local) information…

Biological Physics · Physics 2015-06-19 Fernando Peruani , Lutz Schimansky-Geier , Markus Baer

The fields of Origin of Life and Artificial Life both question what life is and how it emerges from a distinct set of "pre-life" dynamics. One common feature of most substrates where life emerges is a marked shift in dynamics when…

Neural and Evolutionary Computing · Computer Science 2024-08-05 Blaise Agüera y Arcas , Jyrki Alakuijala , James Evans , Ben Laurie , Alexander Mordvintsev , Eyvind Niklasson , Ettore Randazzo , Luca Versari

Spatial self-organization emerges in distributed systems exhibiting local interactions when nonlinearities and the appropriate propagation of signals are at work. These kinds of phenomena can be modeled with different frameworks, typically…

Cell Behavior · Quantitative Biology 2016-11-23 Adriano Bonforti , Salva Duran-Nebreda , Raul Montañez , Ricard Solé

We propose a simple model of self-propelled particles to show that coherent structures, such as jets and swirls, can arise from a plausible microscopic mechanisms: (i) the elongated shape of the self-propelled particles with (ii) the…

Soft Condensed Matter · Physics 2009-11-13 Nicholas Sambelashvili , A. W. C. Lau , David Cai

We introduce a simple model of population dynamics which considers birth and death rates for every individual that depend on the number of particles in its neighborhood. The model shows an inhomogeneous quasistationary pattern with many…

Condensed Matter · Physics 2009-11-10 Emilio Hernandez-Garcia , Cristobal Lopez

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

Statistical Mechanics · Physics 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

We analyze the collective dynamics of self-propelling particles (spps) which move at small Reynolds numbers including the hydrodynamic coupling to the suspending solvent through numerical simulations. The velocity distribution functions…

Soft Condensed Matter · Physics 2007-05-23 Isaac Llopis , Ignacio Pagonabarraga

Exoplanet surveys have revealed a wide diversity of planetary systems, requiring integrated models of planet formation to explain their origin. Planet population synthesis (PPS) modelling is a key tool for linking theory with the…

Earth and Planetary Astrophysics · Physics 2026-04-21 Tadahiro Kimura , Masahiro Ikoma

We consider birth and death stochastic dynamics of particle systems with attractive interaction. The heuristic generator of the dynamics has a constant birth rate and density dependent decreasing death rate. The corresponding statistical…

Mathematical Physics · Physics 2015-06-18 Dmitri Finkelshtein , Yuri Kondratiev , Oleksandr Kutoviy , Elena Zhizhina
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