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We study a process of pattern formation for a generic model of species anchored to the nodes of a network where local reactions take place, and that experience non-reciprocal long-range interactions, encoded by the network directed links.…

Pattern Formation and Solitons · Physics 2025-10-22 Timoteo Carletti , Riccardo Muolo

This study introduces a novel theoretical framework, the Stacked Autoencoder Evolution Hypothesis, which proposes that biological evolutionary systems operate through multi-layered self-encoding and decoding processes, analogous to stacked…

Neural and Evolutionary Computing · Computer Science 2026-02-03 Hiroyuki Iizuka

Biological systems are homochiral, raising the question of how a racemic mixture of prebiotically synthesized biomolecules could attain a homochiral state at the network level. Based on our recent results, we aim to address a related…

Biological Physics · Physics 2025-04-15 S. Furkan Ozturk , Dimitar D. Sasselov , John D. Sutherland

Living systems transmit heritable information using the replicating gene sequences and the cycling regulators assembled around gene sequences. Here I develop a framework for heredity and development that includes the cycling regulators…

Other Quantitative Biology · Quantitative Biology 2020-03-03 Antony M Jose

Cells process external and internal signals through chemical interactions. Cells that constitute the immune system (e.g., antigen presenting cell, T-cell, B-cell, mast cell) can have different functions (e.g., adaptive memory, inflammatory…

Molecular Networks · Quantitative Biology 2017-09-21 John A. P. Sekar , James R. Faeder

A common feature of biological self-organization is how active agents communicate with each other or their environment via chemical signaling. Such communications, mediated by self-generated chemical gradients, have consequences for both…

Soft Condensed Matter · Physics 2023-11-07 Babak Vajdi Hokmabad , Suropriya Saha , Jaime Agudo-Canalejo , Ramin Golestanian , Corinna C. Maass

Reaction-diffusion processes are the foundational model for a diverse range of complex systems, ranging from biochemical reactions to social agent-based phenomena. The underlying dynamics of these systems occur at the individual…

Statistical Mechanics · Physics 2025-10-15 Mauricio J. del Razo , Margarita Kostré

Reaction-diffusion-advection media on semi-infinite domains are important in chemical, biological and ecological applications, yet remain a challenge for pattern formation theory. To demonstrate the rich emergence of nonlinear traveling…

Pattern Formation and Solitons · Physics 2018-08-16 Arik Yochelis

Simulated nucleotide sequences are widely used in theoretical and empirical molecular evolution studies. Conventional simulators generally use fixed parameter time-homogeneous Markov model for sequence evolution. In this work, we use the…

Populations and Evolution · Quantitative Biology 2009-12-14 Sheng Guo , Li-San Wang , Junhyong Kim

The process of polymer condensation, i.e. the formation of bonds between reactive end-groups, is ubiquitous in both industry and biology. Here we study generic systems undergoing polymer condensation in competition with cyclisation. Using a…

Genetic regulatory networks enable cells to respond to the changes in internal and external conditions by dynamically coordinating their gene expression profiles. Our ability to make quantitative measurements in these biochemical circuits…

Biological Physics · Physics 2015-03-17 Aleksandra M Walczak , Gašper Tkačik

Life occurs in concentrated `Ringer Solutions' derived from seawater that Lesser Blum studied for most of his life. As we worked together, Lesser and I realized that the questions asked of those solutions were quite different in biology…

Other Quantitative Biology · Quantitative Biology 2021-09-24 Bob Eisenberg

The temporal analysis of products reactor provides a vast amount of transient kinetic information that may be used to describe a variety of chemical features including the residence time distribution, kinetic coefficients, number of active…

We consider a model for random deposition of monomers on a line with extrinsic precursor states. As the adsorbate coverage increases, the system develops non-trivial correlations due to the diffusion mediated deposition mechanism. In a…

Condensed Matter · Physics 2009-10-28 Joao A. N. Filipe , Geoff J. Rodgers

A novel hierarchical model of complex network is proposed, and information propagation process taking place on top of the network is investigated. Our model is demonstrated to have small world property. We found that the frequency…

Dynamical Systems · Mathematics 2007-05-23 Feng Fu , Lianghuan Liu , Long Wang

Stochastic reaction-diffusion processes may be presented in terms of integrable quantum chains and can be used to describe various biological and chemical systems. Exploiting the integrability of the models one finds in some cases good…

Condensed Matter · Physics 2007-05-23 Gunter M. Schütz

We investigate the behaviour of randomly cross-linked (co)polymer blends using a combination of replica theory and large-scale molecular dynamics simulations. In particular, we derive the analogue of the random phase approximation for…

Soft Condensed Matter · Physics 2009-11-13 A. V. Klopper , Carsten Svaneborg , Ralf Everaers

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

The diversity of the immune repertoire is initially generated by random rearrangements of the receptor gene during early T and B cell development. Rearrangement scenarios are composed of random events -- choices of gene templates, base pair…

Genomics · Quantitative Biology 2016-06-29 Yuval Elhanati , Quentin Marcou , Thierry Mora , Aleksandra M. Walczak

The biological world, especially its majority microbial component, is strongly interacting and may be dominated by collective effects. In this review, we provide a brief introduction for statistical physicists of the way in which living…

Populations and Evolution · Quantitative Biology 2015-05-20 Nicholas Chia , Nigel Goldenfeld
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