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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

The ability of a chemical reaction network to generate itself by catalyzed reactions from constantly present environmental food sources is considered a fundamental property in origin-of-life research. Based on Kaufmann's autocatalytic sets,…

Molecular Networks · Quantitative Biology 2023-08-16 Dimitri Loutchko

A biological system consists of a variety of polymers that are synthesized from monomers, by catalysis that exists only for some long polymers. It is important to elucidate the emergence and sustenance of such autocatalytic polymerization.…

Chemical Physics · Physics 2018-09-13 Yoshiya J. Matsubara , Kunihiko Kaneko

To unveil the logic of cell from a level of chemical reaction dynamics, we need to clarify how ensemble of chemicals can autonomously produce the set of chemical, without assuming a specific external control echanism. A cell consists of a…

Molecular Networks · Quantitative Biology 2007-05-23 Kunihiko Kaneko

An autocatalytic pattern matching polymer system is studied as an abstract model for chemical ecosystem evolution. Highly ordered populations with particular sequence patterns appear spontaneously out of a vast number of possible states.…

Molecular Networks · Quantitative Biology 2015-06-17 Shinpei Tanaka , Harold Fellermann , Steen Rasmussen

Autocatalysis is a deceptively simple concept, referring to the situation that a chemical species $X$ catalyzes its own formation. From the perspective of chemical kinetics, autocatalysts show a regime of super-linear growth. Given a…

Molecular Networks · Quantitative Biology 2021-07-08 Jakob L. Andersen , Christoph Flamm , Daniel Merkle , Peter F. Stadler

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…

Statistical Mechanics · Physics 2008-12-01 E. Agliari , R. Burioni , D. Cassi , F. M. Neri

A central challenge in the origin of life is understanding how catalytic peptide-like polymers and information-bearing nucleic acid-like polymers emerged as an interde-pendent system. This study constructs a primordial cognitive model…

Other Quantitative Biology · Quantitative Biology 2026-05-11 Takeshi Ishida

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…

Dynamical Systems · Mathematics 2021-04-23 Badal Joshi , Gheorghe Craciun

Autocatalysis, the ability of a chemical system to make more of itself, is a crucial feature in metabolism and is speculated to have played a decisive role in the origin of life. Nevertheless, how autocatalytic systems behave far from…

Chemical Physics · Physics 2024-10-23 Armand Despons

We define catalytic networks as chemical reaction networks with an essentially catalytic reaction pathway: one which is on in the presence of certain catalysts and off in their absence. We show that examples of catalytic networks include…

Molecular Networks · Quantitative Biology 2011-11-18 Manoj Gopalkrishnan

Self-replicating systems based on information-coding polymers are of crucial importance in biology. They also recently emerged as a paradigm in material design on nano- and micro-scales. We present a general theoretical and numerical…

Soft Condensed Matter · Physics 2015-07-15 Alexei V. Tkachenko , Sergei Maslov

A continuous route from a disordered soup of simple chemical feedstocks to a functional protocell -- a compartment that metabolizes, grows, and propagates -- remains elusive. Here, we show that a homogeneous aqueous chemical mixture…

Soft Condensed Matter · Physics 2026-01-28 Nayan Chakraborty , Shashi Thutupalli

It has been pointed out that if an autocatalytic cycle produces primitive membrane chemicals, it can compose a self-maintaining proto cell. Moreover, it is known that a proto cell can divide itself spontaneously as it grows. An unsolved…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 N. Ono , T. Ikegami

Autocatalysis underlies the ability of chemical and biochemical systems to replicate. Autocatalysis was recently defined stoichiometrically for reaction networks; five types of minimal autocatalytic networks, termed autocatalytic cores were…

Molecular Networks · Quantitative Biology 2025-07-22 Praneet Nandan , Philippe Nghe , Jeremie Unterberger

Protocells are supposed to have played a key role in the self-organizing processes leading to the emergence of life. Existing models either (i) describe protocell architecture and dynamics, given the existence of sets of collectively…

Molecular Networks · Quantitative Biology 2014-08-01 Roberto Serra , Alessandro Filisetti , Marco Villani , Alex Graudenzi , Chiara Damiani , Tommaso Panini

Evolution produces complex and structured networks of interacting components in chemical, biological, and social systems. We describe a simple mathematical model for the evolution of an idealized chemical system to study how a network of…

Adaptation and Self-Organizing Systems · Physics 2014-03-05 Sanjay Jain , Sandeep Krishna

This thesis broadly concerns the origins of life problem, pursuing a joint approach that combines general philosophical/conceptual reflection on the problem along with more detailed and formal scientific modelling work oriented in the…

Other Quantitative Biology · Quantitative Biology 2016-06-14 Benjamin John Shirt-Ediss

Self-replicability is the unique attribute observed in all the living organisms and the question how the life was physically initiated could be equivalent to the question how self-replicating informative polymers were formed in the abiotic…

Biological Physics · Physics 2023-05-24 Yasuji Sawada , Yasukazu Daigaku , Kenji Toma

The directed polymerization of actin networks is an essential element of many biological processes, including cell migration. Different theoretical models considering the interplay between the underlying processes of polymerization, capping…

Subcellular Processes · Quantitative Biology 2013-04-16 Julian Weichsel , Krzysztof Baczynski , Ulrich S. Schwarz