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A new three dimensional approach to the chaos game representation of protein sequences is explored in this thesis. The basics of DNA, the synthesis of proteins from DNA, protein structure and functionality and sequence alignment techniques…

Biomolecules · Quantitative Biology 2023-03-20 Annie Thomas

The chaos game representation (CGR) is an interesting method to visualize one-dimensional sequences. In this paper, we show how to construct a chaos game representation. The applications mentioned here are biological, in which CGR was able…

History and Overview · Mathematics 2020-12-18 Eunice Y. S. Chan , Robert M. Corless

DNA sequences are fundamental for encoding genetic information. The genetic information may not only be understood by symbolic sequences but also from the hidden signals inside the sequences. The symbolic sequences need to be transformed…

Computational Engineering, Finance, and Science · Computer Science 2017-12-20 Changchuan Yin

This study proposes CGRclust, a novel combination of unsupervised twin contrastive clustering of Chaos Game Representations (CGR) of DNA sequences, with convolutional neural networks (CNNs). To the best of our knowledge, CGRclust is the…

Genomics · Quantitative Biology 2024-11-14 Fatemeh Alipour , Kathleen A. Hill , Lila Kari

Researchers in the field of DNA-based chaotic cryptography have recently proposed a set of novel and efficient image encryption algorithms. In this paper, we present a comprehensive summary of those techniques, which are available in the…

Cryptography and Security · Computer Science 2015-05-08 Chiranjoy Chattopadhyay , Bikramjit Sarkar , Debaprasad Mukherjee

This paper establishes formal mathematical foundations linking Chaos Game Representations (CGR) of DNA sequences to their underlying $k$-mer frequencies. We prove that the Frequency CGR (FCGR) of order $k$ is mathematically equivalent to a…

Formal Languages and Automata Theory · Computer Science 2025-07-01 Haoze He , Lila Kari , Pablo Millan Arias

We demonstrate the presence of chaos in stochastic simulations that are widely used to study biodiversity in nature. The investigation deals with a set of three distinct species that evolve according to the standard rules of mobility,…

Biological Physics · Physics 2017-03-28 D. Bazeia , M. B. P. N. Pereira , A. V. Brito , B. F. de Oliveira , J. G. G. S. Ramos

The sequences, given by a 7D map have been analysed by means of the methods, widely used to detect chaos in the real world in order to test their sensitivity to chaotic features of a non-linear system determined by comparatively high number…

Chaotic Dynamics · Physics 2015-04-07 Boyan Hristozov Petkov

We propose a computational method to measure and visualize interrelationships among any number of DNA sequences allowing, for example, the examination of hundreds or thousands of complete mitochondrial genomes. An "image distance" is…

It is shown that metric representation of DNA sequences is one-to-one. By using the metric representation method, suppression of nucleotide strings in the DNA sequences is determined. For a DNA sequence, an optimal string length to display…

Biological Physics · Physics 2007-05-23 Zuo-Bing Wu

Genetic information is encoded in a linear sequence of nucleotides, represented by letters ranging from thousands to billions. Mutations refer to changes in the DNA or RNA nucleotide sequence. Thus, mutation detection is vital in all areas…

Biological classification with interpretability remains a challenging task. For this, we introduce a novel encoding framework, Multi-Scale Reversible Chaos Game Representation (MS-RCGR), that transforms biological sequences into…

Machine Learning · Computer Science 2026-04-21 Sarwan Ali , Taslim Murad

In this paper we have proposed a method that uses chaotic logistic mapping and DNA encoding to encrypt the image. A 32 bit ASCII private key is used to diffuse the image. The results demonstrated clearly show that encryption algorithm based…

Cryptography and Security · Computer Science 2020-03-17 Sakshi Patel , Bharath K P , Rajesh Kumar Muthu

Different numerical mappings of the DNA sequences have been studied using a new cluster-scaling method and the well known spectral methods. It is shown, in particular, that the nucleotide sequences in DNA molecules have robust…

Biomolecules · Quantitative Biology 2018-01-31 A. Bershadskii

Sequence Alignment is the process of aligning biological sequences in order to identify similarities between multiple sequences. In this paper, a Quantum Algorithm for finding the optimal alignment between DNA sequences has been…

Data Structures and Algorithms · Computer Science 2025-09-05 Md. Rabiul Islam Khan , Shadman Shahriar , Shaikh Farhan Rafid

In this paper we describe a new technique for the comparison of populations of DNA strands. Comparison is vital to the study of ecological systems, at both the micro and macro scales. Existing methods make use of DNA sequencing and cloning,…

Biomolecules · Quantitative Biology 2008-07-02 Dennis Shasha , Martyn Amos

Data mining and knowledge discovery are two important growing research fields in the last two decades due to the abundance of data collected from various sources. The exponentially growing volumes of generated data urge the development of…

Computer Science and Game Theory · Computer Science 2020-07-13 Dalila Kessira , Mohand-Tahar Kechadi

The spatial organization of the DNA in the cell nucleus plays an important role for gene regulation, DNA replication, and genomic integrity. Through the development of chromosome conformation capture experiments (such as 3C, 4C, Hi-C) it is…

Genomics · Quantitative Biology 2021-01-15 Anastasiya Belyaeva , Kaie Kubjas , Lawrence J. Sun , Caroline Uhler

Convolutional Neural Network (CNN)-based machine learning systems have made breakthroughs in feature extraction and image recognition tasks in two dimensions (2D). Although there is significant ongoing work to apply CNN technology to…

Computer Vision and Pattern Recognition · Computer Science 2018-02-26 Thomas Corcoran , Rafael Zamora-Resendiz , Xinlian Liu , Silvia Crivelli

We propose a novel combination of methods that (i) portrays quantitative characteristics of a DNA sequence as an image, (ii) computes distances between these images, and (iii) uses these distances to output a map wherein each sequence is a…

Genomics · Quantitative Biology 2013-07-16 Lila Kari , Kathleen A. Hill , Abu Sadat Sayem , Nathaniel Bryans , Katelyn Davis , Nikesh S. Dattani
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