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The genetic code maps the sixty-four nucleotide triplets (codons) to twenty amino-acids. While the biochemical details of this code were unraveled long ago, its origin is still obscure. We review information-theoretic approaches to the…

基因组学 · 定量生物学 2010-07-23 Tsvi Tlusty

The deterministic selection-recombination equation describes the evolution of the genetic type composition of a population under selection and recombination in a law of large numbers regime. So far, an explicit solution has seemed out of…

概率论 · 数学 2023-04-26 Ellen Baake , Frederic Alberti

In this paper, we reveal an internal structure within Dedekind numbers, demonstrating that they can be expressed as polynomials of powers of 2. This discovery is based on innovative concepts and methods, offering a new perspective on the…

组合数学 · 数学 2024-03-12 YongQing Liu

The rules that specify how the information contained in DNA codes amino acids, is called "the genetic code". Using a simplified version of the Penna nodel, we are using computer simulations to investigate the importance of the genetic code…

基因组学 · 定量生物学 2009-11-10 E. Gultepe , M. L. Kurnaz

Proteins employ the information stored in the genetic code and translated into their sequences to carry out well-defined functions in the cellular environment. The possibility to encode for such functions is controlled by the balance…

生物大分子 · 定量生物学 2018-05-24 A. Possenti , M. Vendruscolo , C. Camilloni , G. Tiana

We study the challenges of applying deep learning to gene expression data. We find experimentally that there exists non-linear signal in the data, however is it not discovered automatically given the noise and low numbers of samples used in…

基因组学 · 定量生物学 2018-06-20 Francis Dutil , Joseph Paul Cohen , Martin Weiss , Georgy Derevyanko , Yoshua Bengio

Optimizing a neural network's performance is a tedious and time taking process, this iterative process does not have any defined solution which can work for all the problems. Optimization can be roughly categorized into - Architecture and…

机器学习 · 计算机科学 2019-12-16 Siddhartha Dhar Choudhury , Shashank Pandey , Kunal Mehrotra

The present work is devoted to describe a set of rules explaining the discriminating versus non-discriminating behavior of the di-basic stages and to characterize the role of each base in determining such a behavior. Bases are analyze as…

最优化与控制 · 数学 2007-05-23 Edmundo Rofman , Melina Rapacioli , Vladimir Flores

We apply a symbolic approach of the general quadratic decomposition of polynomial sequences - presented in a previous article referenced herein - to polynomial sequences fulfilling specific orthogonal conditions towards two given…

经典分析与常微分方程 · 数学 2020-01-07 Teresa Augusta Mesquita

The genetic code underlying protein synthesis is a canonical example of a degenerate biological system. Degeneracies in physical and biological systems can be lifted by external perturbations thus allowing degenerate systems to exhibit a…

基因组学 · 定量生物学 2013-04-23 Arvind R. Subramaniam , Tao Pan , Philippe Cluzel

The problem of implementing a class of functions with particular conditions by using monotonic multilayer functions is considered. A genetic algorithm is used to create monotonic functions of a certain class, and these are implemented with…

神经与进化计算 · 计算机科学 2012-11-06 Yukihiro Kamada , Kiyonori Miyasaki

Recent experiments at the level of a single cell have shown that gene expression occurs in abrupt stochastic bursts. Further, in an ensemble of cells, the levels of proteins produced have a bimodal distribution. In a large fraction of…

软凝聚态物质 · 物理学 2009-11-07 Siddhartha Roy , Indrani Bose , Subhrangshu Sekhar Manna

Gene regulation is an important fundamental biological process. The regulation of gene expression is managed through a variety of methods including epigenetic processes (e.g., DNA methylation). Understanding the role of epigenetic changes…

分子网络 · 定量生物学 2021-06-01 James Brunner , Jacob Kim , Timothy Downing , Eric Mjolsness , Kord M. Kober

We define the complexity of DNA sequences as the information content per nucleotide, calculated by means of some Lempel-Ziv data compression algorithm. It is possible to use the statistics of the complexity values of the functional regions…

定量方法 · 定量生物学 2008-03-05 Giulia Menconi , Vieri Benci , Marcello Buiatti

This contribution is concerned with mathematical models for the dynamics of the genetic composition of populations evolving under recombination. Recombination is the genetic mechanism by which two parent individuals create the mixed type of…

种群与进化 · 定量生物学 2011-01-12 Ellen Baake

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

生物大分子 · 定量生物学 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu

We consider the discrete-time migration-recombination equation, a deterministic, nonlinear dynamical system that describes the evolution of the genetic type distribution of a population evolving under migration and recombination in a law of…

概率论 · 数学 2021-03-30 Frederic Alberti , Ellen Baake , Ian Letter , Servet Martinez

Increasing evidence suggests that chromosome folding and genetic expression are intimately connected. For example, the co-expression of a large number of genes can benefit from their spatial co-localization in the cellular space.…

软凝聚态物质 · 物理学 2018-03-13 Guillaume Le Treut

We introduce a novel method to analyse complete genomes and recognise some distinctive features by means of an adaptive compression algorithm, which is not DNA-oriented. We study the Information Content as a function of the number of…

基因组学 · 定量生物学 2007-05-23 Giulia Menconi

The matrix form of the presentation of the genetic code is described as the cognitive form to analyze structures of the genetic code. A similar matrix form is utilized in the theory of signal processing. The Kronecker family of the genetic…

其他定量生物学 · 定量生物学 2010-12-30 Sergey V. Petoukhov