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Motivated by the theory of reaction kinetics based on nonequilibrium thermodynamics and the linear stability of driven reaction-diffusion, we apply the Fokker-Planck equation to describe the population dynamics of an ensemble of reactive…

化学物理 · 物理学 2019-07-31 Hongbo Zhao , Martin Z. Bazant

We present a geometric framework to study the growth-division dynamics of cells and protocells, and demonstrate that self-reproduction emerges only when a system's growth dynamics and division strategy are mutually compatible. Using several…

适应与自组织系统 · 物理学 2025-11-21 Parth Pratim Pandey , Sanjay Jain

The concept of (auto)catalytic systems has become a cornerstone in understanding evolutionary processes in various fields. The common ground is the observation that for the production of new species/goods/ideas/elements etc. the…

种群与进化 · 定量生物学 2009-11-13 Rudolf Hanel , Peter Klimek , Stefan Thurner

We study a family of networks of autocatalytic reactions, which we call hyperchains, that are a generalization of hypercycles. Hyperchains, and the associated dynamical system called replicator equations, are a possible mechanism for…

动力系统 · 数学 2021-04-23 Badal Joshi , Gheorghe Craciun

Diffusion-mediated surface phenomena are crucial for human life and industry, with examples ranging from oxygen capture by lung alveolar surface to heterogeneous catalysis, gene regulation, membrane permeation and filtration processes.…

统计力学 · 物理学 2020-08-19 Denis S. Grebenkov

We present here a system of self-propelled particles that follow a very simple motion law in continuous space in a deterministic and asynchronous way. This system of particles is capable of producing, depending on the particle density in…

斑图形成与孤子 · 物理学 2015-12-17 Thomas Schmickl , Martin Stefanec

All living systems -- from the origin of life to modern cells -- rely on a set of biochemical reactions that are simultaneously self-sustaining and autocatalytic. This notion of an autocatalytic set has been formalized graph-theoretically…

分子网络 · 定量生物学 2016-05-13 Wim Hordijk , Mike Steel

Surface growth, by association or dissociation of material on the boundaries of a body, is ubiquitous in both natural and engineering systems. It is the fundamental mechanism by which biological materials grow, starting from the level of a…

软凝聚态物质 · 物理学 2019-03-06 Rami Abi-Akl , Rohan Abeyaratne , Tal Cohen

Background: Autocatalytic sets are often considered a necessary (but not sufficient) condition for the origin and early evolution of life. Although the idea of autocatalytic sets was already conceived of many years ago, only recently have…

分子网络 · 定量生物学 2012-06-06 Wim Hordijk , Mike Steel

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…

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…

适应与自组织系统 · 物理学 2020-12-18 Yu Liu , David Sumpter

We combine experiments and numerical simulations to investigate the emergence of clogging in a system of interacting paramagnetic colloidal particles driven against a disordered landscape of larger obstacles. We consider a single aperture…

软凝聚态物质 · 物理学 2020-07-10 Sergi Granados Leyva , Ralph Lukas Stoop , Pietro Tierno , Ignacio Pagonabarraga

We study self-replicating molecules under externally varying conditions. Changing conditions such as temperature variations and/or alterations in the environment's resource composition lead to both non-constant replication and decay rates…

生物物理 · 物理学 2016-09-08 Claus O. Wilke , Christopher Ronnewinkel , Thomas Martinetz

Autocatalytic sets are sets of entities that mutually catalyse each other's production through chemical reactions from a basic food source. Recently, the reflexively autocatalytic and food generated theory has introduced a formal definition…

适应与自组织系统 · 物理学 2020-09-15 Alessandro Ravoni

We study the dynamics of a system made up of particles of two different species undergoing irreversible quadratic autocatalytic reactions: $A + B \to 2A$. We especially focus on the reaction velocity and on the average time at which the…

统计力学 · 物理学 2008-12-01 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

Boundary-catalytic branching processes describe a broad class of natural phenomena where the population of diffusing particles grows due to their spontaneous binary branching (e.g., division, fission or splitting) on a catalytic boundary…

统计力学 · 物理学 2026-03-05 Denis S. Grebenkov , Yilin Ye

Autocatalytic systems are very often incorporated in the "origin of life" models, a connection that has been analyzed in the context of the classical hypercycles introduced by Manfred Eigen. We investigate the dynamics of certain networks…

动力系统 · 数学 2020-12-14 Gheorghe Craciun , Abhishek Deshpande , Badal Joshi , Polly Y. Yu

The effect of diffusively correlated spatial fluctuations on the proliferation-extinction transition of autocatalytic agents is investigated numerically. Reactants adaptation to spatio-temporal active regions is shown to lead to…

统计力学 · 物理学 2009-11-11 Sasi Moalem , Nadav M. Shnerb

Biological cells with all of their surface structure and complex interior stripped away are essentially vesicles - membranes composed of lipid bilayers which form closed sacs. Vesicles are thought to be relevant as models of primitive…

统计力学 · 物理学 2015-05-18 Pietro de Anna , Francesca Di Patti , Duccio Fanelli , Alan J. McKane , Thierry Dauxois

Every mathematical model describing physical phenomena is an approximation to model reality, hence has its limitations. Depending on characteristic values of the variables in the model, different aspects of the model and, e.g.,…

偏微分方程分析 · 数学 2019-12-02 Björn Augner , Dieter Bothe
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