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A rigorous thermodynamic expression is derived for the total biological information capacity per unit length of a DNA molecule. The total information includes the usual four letter coding sequence information plus that excess information…

General Physics · Physics 2012-11-27 A. Widom , J. Swain , Y. N. Srivastava , S. Sivasubramanian , V. I. Valenzi

Genome length varies widely among organisms, from compact genomes of prokaryotes to vast and complex genomes of eukaryotes. In this study, we theoretically identify the evolutionary pressures that may have driven this divergence in genome…

Genomics · Quantitative Biology 2025-03-03 Parthasarathi Sahu , Sashikanta Barik , Koushik Ghosh , Hemachander Subramanian

In the near future, all the human genes will be identified. But understanding the functions coded in the genes is a much harder problem. For example, by using block entropy, one has that the DNA code is closer to a random code then written…

Numerical Analysis · Mathematics 2007-07-13 Torbjörn Lundh

Genome sizes have evolved to vary widely, from 250 bases in viroids to 670 billion bases in amoeba. This remarkable variation in genome size is the outcome of complex interactions between various evolutionary factors such as point mutation…

Populations and Evolution · Quantitative Biology 2016-06-29 Aditi Gupta , Thomas LaBar , Michael Miyagi , Christoph Adami

Monotone Boolean functions are a structurally important class of Boolean functions, but their restricted form imposes strong limitations on achievable nonlinearity. In this paper, we investigate whether evolutionary computation can evolve…

Neural and Evolutionary Computing · Computer Science 2026-04-21 Claude Carlet , Marko Čupić , Marko Ðurasevic , Domagoj Jakobovic , Luca Mariot , Stjepan Picek

Several technological applications require the translation of a protein into a nucleic acid that codes for it (``backtranslation''). The degeneracy of the genetic code makes this translation ambiguous; moreover, not every translation is…

Biological Physics · Physics 2007-05-23 Andres Moreira

Time evolution of number of species (genera, families, and others), population of them, and size distribution of present ones and life times are studied in terms of a new model, where population of each genetic taxon increases by a (random)…

Populations and Evolution · Quantitative Biology 2007-05-23 Caglar Tuncay

Data on the number of Open Reading Frames (ORFs) coded by genomes from the 3 domains of Life show some notable general features including essential differences between the Prokaryotes and Eukaryotes, with the number of ORFs growing linearly…

Genomics · Quantitative Biology 2012-05-31 James L. Friar , Terrance Goldman , Juan Pérez-Mercader

The self-alignment concentrations, $c(x)$, as functions of the length, $x$, of the identically matching maximal segments in the genomes of a variety of species, typically present power-law tails extending to the largest scales, i.e., $c(x)…

Populations and Evolution · Quantitative Biology 2014-12-23 Kun Gao , HongGuang Sun , Jian-Zhou Zhu

Classical population genetics a priori assigns fitness to alleles without considering molecular or functional properties of proteins that these alleles encode. Here we study population dynamics in a model where fitness can be inferred from…

Biomolecules · Quantitative Biology 2007-05-29 Konstantin Zeldovich , Peiqiu Chen , Eugene Shakhnovich

Scientists have been trying to identify all of the genes in the human genome since the initial draft of the genome was published in 2001. Over the intervening years, much progress has been made in identifying protein-coding genes, and the…

We describe the evolution of macromolecules as an information transmission process and apply tools from Shannon information theory to it. This allows us to isolate three independent, competing selective pressures that we term compression,…

Quantum Physics · Physics 2007-05-23 Charles Ofria , Christoph Adami , Travis C. Collier

We study theoretically the in vitro evolution of a DNA sequence by binding to a transcription factor. Using a simple model of protein-DNA binding and available binding constants for the Mnt protein, we perform large-scale, realistic…

Condensed Matter · Physics 2009-11-10 Morten Kloster , Chao Tang

Information theoretic analysis of large evolved programs produced by running genetic programming for up to a million generations has shown even functions as smooth and well behaved as floating point addition and multiplication loose entropy…

Neural and Evolutionary Computing · Computer Science 2021-12-03 W. B. Langdon

Background The theoretical requirements for a genetic code were well defined and modeled by George Gamow and Francis Crick in the 50-es. Their models failed. However the valid Genetic Code, provided by Nirenberg and Matthaei in 1961,…

Biomolecules · Quantitative Biology 2008-08-04 Jan C Biro

We aim to understand the evolution of the genetic composition of cancer cell populations. To achieve this, we consider an individual-based model representing a cell population where cells divide, die and mutate along the edges of a finite…

Probability · Mathematics 2025-02-18 Vianney Brouard

The importance of statistical patterns of language has been debated over decades. Although Zipf's law is perhaps the most popular case, recently, Menzerath's law has begun to be involved. Menzerath's law manifests in language, music and…

We revisit the notion of gene regulatory code in embryonic development in the light of recent findings about genome spatial organisation. By analogy with the genetic code, we posit that the concept of code can only be used if the…

Genomics · Quantitative Biology 2019-11-13 Julien Mozziconacci , Mélody Merle , Annick Lesne

Biological organisms adapt to changes by processing informations from different sources, most notably from their ancestors and from their environment. We review an approach to quantify these informations by analyzing mathematical models of…

Populations and Evolution · Quantitative Biology 2016-03-23 Olivier Rivoire

Gene expression programming, a genotype/phenotype genetic algorithm (linear and ramified), is presented here for the first time as a new technique for the creation of computer programs. Gene expression programming uses character linear…

Artificial Intelligence · Computer Science 2007-05-23 Candida Ferreira