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Universal intermittent dynamics in a random catalytic reaction network, induced by smallness in the molecule number is reported. Stochastic simulations for a random catalytic reaction network subject to a flow of chemicals show that the…

Statistical Mechanics · Physics 2009-02-20 Akinori Awazu , Kunihiko Kaneko

Drastic change in dynamics and statistics in a chemical reaction system, induced by smallness in the molecule number, is reported. Through stochastic simulations for random catalytic reaction networks, transition to a novel state is…

Adaptation and Self-Organizing Systems · Physics 2009-11-13 Akinori Awazu , Kunihiko Kaneko

All life, including cells and artificial protocells, must integrate diverse molecules into a single unit in order to reproduce. Despite expected pressure to evolve a simple system with the fastest replication speed, the mechanism by which…

Cell Behavior · Quantitative Biology 2014-08-12 Atsushi Kamimura , Kunihiko Kaneko

Quantitative characterization of bacterial growth has gathered substantial attention since Monod's pioneering study. Theoretical and experimental work has uncovered several laws for describing the log growth phase, in which the number of…

Biological Physics · Physics 2017-07-05 Yusuke Himeoka , Kunihiko Kaneko

Across the tree of life, populations have evolved the capacity to contend with suboptimal conditions by engaging in dormancy, whereby individuals enter a reversible state of reduced metabolic activity. The resulting seed banks are complex,…

Populations and Evolution · Quantitative Biology 2025-02-10 Jay T. Lennon , Frank den Hollander , Maite Wilke-Berenguer , Jochen Blath

In the present article, we investigate the effects of dormancy on an abstract population genetic level. We first provide a short review of seed bank models in population genetics, and the role of dormancy for the interplay of evolutionary…

Probability · Mathematics 2020-12-03 Jochen Blath , Noemi Kurt

On the basis of a lattice gas model and the convolution formula with cell construction scheme, we demonstrate that intermittency in the rapidity-space with respect to the scaled moments comes from a phase transition between ordered phase…

High Energy Physics - Phenomenology · Physics 2007-05-23 E. R. Nakamura , K. Kudo , T. Hashimoto , I. Yoneda

The notion of (auto) catalytic networks has become a cornerstone in understanding the possibility of a sudden dramatic increase of diversity in biological evolution as well as in the evolution of social and economical systems. Here we study…

Other Condensed Matter · Physics 2016-10-05 Rudolf Hanel , Stuart A. Kauffman , Stefan Thurner

Living organisms process information to interact and adapt to their changing environment with the goal of finding food, mates or averting hazards. The structure of their niche has profound repercussions by both selecting their internal…

Physics and Society · Physics 2017-06-07 Hannes Hornischer , Stephan Herminghaus , Marco G. Mazza

All cells derive nutrition by absorbing some chemical and energy resources from the environment; these resources are used by the cells to reproduce the chemicals within them, which in turn leads to an increase in their volume. In this…

Cell Behavior · Quantitative Biology 2015-05-27 Yohei Kondo , Kunihiko Kaneko

Growth in confined spaces can drive cellular populations through a jamming transition from a fluid-like state to a solid-like state. Experiments have found that jammed budding yeast populations can build up extreme compressive pressures…

Soft Condensed Matter · Physics 2019-05-29 Pawel Gniewek , Carl F Schreck , Oskar Hallatschek

When complex systems are driven to extinction by some external factor, their non-stationary dynamics can present an intermittent behaviour between relative tranquility and burst of activity whose consequences are often catastrophic. To…

Physics and Society · Physics 2018-03-21 Juan V Escobar , Isaac Pérez Castillo

Our current world is linked by a complex mesh of networks where information, people and goods flow. These networks are interdependent each other, and present structural and dynamical features different from those observed in isolated…

Physics and Society · Physics 2013-11-13 Filippo Radicchi , Alex Arenas

We numerically investigate jamming transitions in complex heterogeneous networks. Inspired by Internet routing protocols, we study a general model that incorporates local traffic information through a tunable parameter. The results show…

Statistical Mechanics · Physics 2007-05-23 Pablo Echenique , Jesus Gomez-Gardenes , Yamir Moreno

The most general exclusion single species reaction-diffusion models with nearest-neighbor interactions one a one dimensional lattice are investigated, for which the evolution of full intervals are closed. Using a generating function method,…

Statistical Mechanics · Physics 2012-08-09 Amir Aghamohammadi , Mohammad Khorrami

We consider a system of clusters made of elementary building blocks, monomers, and evolving via collisions between diffusing monomers and immobile composite clusters. In our model, the cluster-monomer collision can lead to the attachment of…

Statistical Mechanics · Physics 2017-10-25 P. L. Krapivsky , W. Otieno , N. V. Brilliantov

Spatially-embedded complex networks, such as nervous systems, the Internet and transportation networks, generally have non-trivial topological patterns of connections combined with nearly minimal wiring costs. However the growth rules…

Physics and Society · Physics 2013-05-09 Vincenzo Nicosia , Petra E. Vértes , William R. Schafer , Vito Latora , Edward T. Bullmore

Autocatalytic reaction system with a small number of molecules is studied numerically by stochastic particle simulations. A novel state due to fluctuation and discreteness in molecular numbers is found, characterized as extinction of…

Biological Physics · Physics 2007-05-23 Yuichi Togashi , Kunihiko Kaneko

Growth-fragmentation processes describe the evolution of systems of cells which grow continuously and fragment suddenly; they are used in models of cell division and protein polymerisation. Typically, we may expect that in the long run, the…

Probability · Mathematics 2021-01-22 Jean Bertoin , Alexander Watson

Recent advances have shown that introducing dependency interactions between two superconducting networks can trigger abrupt, hysteretic normal-superconductor phase transitions. In this study, we demonstrate that such behavior can also arise…

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