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We study the evolution of a random graph under the constraint that the diameter remain constant as the graph grows. We show that if the graph maintains the form of its link distribution it must be scale-free with exponent between 2 and 3.…

Statistical Mechanics · Physics 2007-05-23 Amit Puniyani , Rajan Lukose

Replication of genetic material is an important process for all living organisms. Origins of replication initiate the copying of DNA at many points on a chromosome, and it is the distribution of these points that is relevant here, as it…

Quantitative Methods · Quantitative Biology 2025-10-16 Huw Day , N C Snaith

Central to the functioning of a living cell is its ability to control the readout or expression of information encoded in the genome. In many cases, a single transcription factor protein activates or represses the expression of many genes.…

Molecular Networks · Quantitative Biology 2013-05-29 Aleksandra M. Walczak , Gapser Tkacik , William Bialek

Eukaryotic DNA is packaged into chromatin: one-dimensional arrays of nucleosomes separated by stretches of linker DNA are folded into 30-nm chromatin fibers which in turn form higher-order structures. Each nucleosome, the fundamental unit…

Genomics · Quantitative Biology 2011-05-25 Răzvan V. Chereji , Alexandre V. Morozov

Small, non-coding RNAs (sRNAs) play important roles as genetic regulators in prokaryotes. sRNAs act post-transcriptionally via complementary pairing with target mRNAs to regulate protein expression. We use a quantitative approach to compare…

Molecular Networks · Quantitative Biology 2008-09-04 Pankaj Mehta , Sidhartha Goyal , Ned S. Wingreen

The genetic material of a eukaryotic cell comprises both nuclear DNA (ncDNA) and mitochondrial DNA (mtDNA). These differ markedly in several aspects but nevertheless must encode proteins that are compatible with one another. Here we…

Populations and Evolution · Quantitative Biology 2020-09-04 Valmir C. Barbosa , Raul Donangelo , Sergio R. Souza

Evolution consists of distinct stages: cosmological, biological, linguistic. Since biology verges on natural sciences and linguistics, we expect that it shares structures and features from both forms of knowledge. Indeed, in DNA we…

Other Quantitative Biology · Quantitative Biology 2019-10-01 Argyris Nicolaidis , Fotis Psomopoulos

Gene expression levels carry information about signals that have functional significance for the organism. Using the gap gene network in the fruit fly embryo as an example, we show how this information can be decoded, building a dictionary…

Molecular Networks · Quantitative Biology 2024-01-23 Mariela D. Petkova , Gašper Tkačik , William Bialek , Eric F. Wieschaus , Thomas Gregor

We study genetic switches formed from pairs of mutually repressing operons. The switch stability is characterised by a well defined lifetime which grows sub-exponentially with the number of copies of the most-expressed transcription factor,…

Molecular Networks · Quantitative Biology 2009-11-10 Patrick B. Warren , Pieter Rein ten Wolde

Bacterial genomes and large-scale computer software projects both consist of a large number of components (genes or software packages) connected via a network of mutual dependencies. Components can be easily added or removed from individual…

Molecular Networks · Quantitative Biology 2013-08-12 Tin Yau Pang , Sergei Maslov

The enormous diversity of life forms thriving in drastically different environmental milieus involves a complex interplay among constituent proteins interacting with each other. However, the organizational principles characterizing the…

Molecular Networks · Quantitative Biology 2024-01-30 Vikram Singh , Vikram Singh

Distinguishing the rare "driver" mutations that fuel cancer progression from the vast background of "passenger" mutations in the non-coding genome is a fundamental challenge in cancer biology. A primary mechanism that non-coding driver…

Genomics · Quantitative Biology 2025-10-01 David Laub , Ethan Armand , Arda Pekis , Zekai Chen , Irsyad Adam , Shaun Porwal , Bing Ren , Kevin Brown , Hannah Carter

In prokaryotic genomes the number of transcriptional regulators is known to quadratically scale with the total number of protein-coding genes. Toolbox model was recently proposed to explain this scaling for metabolic enzymes and their…

Molecular Networks · Quantitative Biology 2010-09-24 Tin Yau Pang , Sergei Maslov

The classification of life should be based upon the fundamental mechanism in the evolution of life. We found that the global relationships among species should be circular phylogeny, which is quite different from the common sense based upon…

Genomics · Quantitative Biology 2009-12-16 Dirson Jian Li , Shengli Zhang

We build networks of genetic similarity in which the nodes are organisms sampled from biological populations. The procedure is illustrated by constructing networks from genetic data of a marine clonal plant. An important feature in the…

Populations and Evolution · Quantitative Biology 2008-01-23 E. Hernandez-Garcia , A. F. Rozenfeld , V. M. Eguiluz , S. Arnaud-Haond , C. M. Duarte

The phenomenon of gene conservation is an interesting evolutionary problem related to speciation and adaptation. Conserved genes are acted upon in evolution in a way that preserves their function despite other structural and functional…

Genomics · Quantitative Biology 2008-07-23 Bradly J. Alicea , Marcela A. Carvallo-Pinto , Jorge L. M. Rodrigues

The simplest possible informational heteropolymer requires only a two-letter alphabet to be able to store information. The evolutionary choice of four monomers in the informational biomolecules RNA/DNA or their progenitors is intriguing,…

Genomics · Quantitative Biology 2022-11-17 Hemachander Subramanian

Research in quantitative evolutionary genomics and systems biology led to the discovery of several universal regularities connecting genomic and molecular phenomic variables. These universals include the log-normal distribution of the…

Populations and Evolution · Quantitative Biology 2015-05-30 Eugene V. Koonin

During the course of evolution, an organism's genome can undergo changes that affect the large-scale structure of the genome. These changes include gene gain, loss, duplication, chromosome fusion, fission, and rearrangement. When gene gain…

Genomics · Quantitative Biology 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

Living cells must control the reading out or "expression" of information encoded in their genomes, and this regulation often is mediated by transcription factors--proteins that bind to DNA and either enhance or repress the expression of…

Molecular Networks · Quantitative Biology 2013-08-01 Gašper Tkačik , Aleksandra M Walczak , William Bialek
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