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Nested structure, which is non-random, controls cooperation dynamics and biodiversity in plant-animal mutualistic networks. This structural pattern has been explained in a static (non-growth) network models. However, evolutionary processes…

Populations and Evolution · Quantitative Biology 2015-03-19 Kazuhiro Takemoto , Masanori Arita

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

Brain networks exhibit remarkable structural properties, including high local clustering, short path lengths, and heavy-tailed weight and degree distributions. While these features are thought to enable efficient information processing with…

Biological Physics · Physics 2026-01-09 Aitor Morales-Gregorio , Anno C. Kurth , Karolína Korvasová

Accurately determining and classifying the structure of complex networks is the focus of much current research. One class of network of particular interest are metabolic pathways, which have previously been studied from a graph theoretical…

Mathematical Physics · Physics 2012-10-10 Henry Dorrian , Kieran Smallbone , Jon borresen

We investigate a model of evolving random network, introduced by us previously {[}{\it Phys. Rev. Lett.} {\bf 83}, 5587 (1999){]} . The model is a generalization of the Bak-Sneppen model of biological evolution, with the modification that…

Statistical Mechanics · Physics 2009-10-31 Frantisek Slanina , Miroslav Kotrla

Networks with a prescribed power-law scaling in the spectrum of the graph Laplacian can be generated by evolutionary optimization. The Laplacian spectrum encodes the dynamical behavior of many important processes. Here, the networks are…

Physics and Society · Physics 2015-08-28 Steffen Karalus , Joachim Krug

Modeling gene regulatory networks (GRNs) is an important topic in systems biology. Although there has been much work focusing on various specific systems, the generic behavior of GRNs with continuous variables is still elusive. In…

Molecular Networks · Quantitative Biology 2014-04-23 Zhiyuan Li , Simone Bianco , Zhaoyang Zhang , Chao Tang

Networks are important representations in computer science to communicate structural aspects of a given system of interacting components. The evolution of a network has several topological properties that can provide us information on the…

Social and Information Networks · Computer Science 2020-04-30 Joao Pita Costa , Tihana Galinac Grbac

Modularity structures are common in various social and biological networks. However, its dynamical origin remains an open question. In this work, we set up a dynamical model describing the evolution of a social network. Based on the…

Physics and Society · Physics 2011-08-19 Menghui Li , Shuguang Guan , Choy-Heng Lai

Structural and dynamical fingerprints of evolutionary optimization in biological networks are still unclear. We here analyze the dynamics of genetic regulatory networks responsible for the regulation of cell cycle and cell differentiation…

Molecular Networks · Quantitative Biology 2016-06-22 N. Aral , A. Kabakcioglu

The formation of neuron networks is a process of fundamental importance for understanding the development of the nervous system and for creating biomimetic devices for tissue engineering and neural repair. The basic process that controls…

Cell Behavior · Quantitative Biology 2022-05-16 Ilya Yurchenko , Matthew Farwell , Donovan D. Brady , Cristian Staii

The early fly embryo offers a relatively pure version of the problem of spatial scaling in biological pattern formation. Within three hours, a "blueprint" for the final segmented body plan of the animal is visible in striped patterns of…

Molecular Networks · Quantitative Biology 2019-01-01 Victoria Antonetti , William Bialek , Thomas Gregor , Gentian Muhaxheri , Mariela Petkova , Martin Scheeler

Topological features of gene regulatory networks can be successfully reproduced by a model population evolving under selection for short dynamical attractors. The evolved population of networks exhibit motif statistics, summarized by…

Molecular Networks · Quantitative Biology 2016-08-11 Burçin Danacı , Mehmet Ali Anıl , Ayşe Erzan

During organogenesis, developmental programs governed by Gene Regulatory Networks (GRN) define the functionality, size and shape of the different constituents of living organisms. Robustness, thus, is an essential characteristic that GRNs…

Tissues and Organs · Quantitative Biology 2015-01-07 Daniel Aguilar-Hidalgo , M. Carmen Lemos , Antonio Córdoba

Cerebellar-like networks, in which input activity patterns are separated by projection to a much higher-dimensional space before classification, are a recurring neurobiological motif, present in the cerebellum, dentate gyrus, insect…

Neurons and Cognition · Quantitative Biology 2026-03-23 William Dorrell , Peter E. Latham

The metazoan body plan is established during early embryogenesis via collective cell rearrangements and evolutionarily conserved gene networks, as part of a process commonly referred to as gastrulation. While substantial progress has been…

Populations and Evolution · Quantitative Biology 2020-11-24 Kerim Anlas , Vikas Trivedi

A fundamental task in developmental biology is to identify the mechanisms which drive morphogenesis. In many cases, pattern formation is driven by the positional information determined by both the gradient of maternal factors and hard-wired…

Molecular Networks · Quantitative Biology 2007-05-23 L. Diambra , Luciano da Fontoura Costa

The dynamical evolution of complex networks underpins the structure-function relationships in natural and artificial systems. Yet, restoring a network's formation from a single static snapshot remains challenging. Here, we present a…

Physics and Society · Physics 2025-12-10 Jiu Zhang , Zhanwei Du , Hongwei Hu , Ke Wu , Tongchao Li , Chuan Shi , Xiaohui Huang , Yamir Moreno , Yanqing Hu

Gynandromorphs are creatures where at least two different body sections are a different sex. Bilateral gynandromorphs are half male and half female. Here we develop a theory of gynandromorph ontogeny based on developmental control networks.…

Molecular Networks · Quantitative Biology 2012-12-24 Eric Werner

We study metanetworks arising in genotype and phenotype spaces, in the context of a model population of Boolean graphs evolved under selection for short dynamical attractors. We define the adjacency matrix of a graph as its genotype, which…

Biological Physics · Physics 2016-09-06 Burçin Danacı , Ayşe Erzan