2019
DOI: 10.1093/bioinformatics/bty1021
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The DNA walk and its demonstration of deterministic chaos—relevance to genomic alterations in lung cancer

Abstract: Motivation Advancements in cancer genetics have facilitated the development of therapies with actionable mutations. Although mutated genes have been studied extensively, their chaotic behavior has not been appreciated. Thus, in contrast to naïve DNA, mutated DNA sequences can display characteristics of unpredictability and sensitivity to the initial conditions that may be dictated by the environment, expression patterns and presence of other genomic alterations. Employing a DNA walk as a form… Show more

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Cited by 10 publications
(20 citation statements)
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“…To convert the DNA sequence into a numeric sequence that can be used as input for DDA we chose the 1D DNA walk representation in which the walker takes a step upwards if the nucleotide is a pyrimidine and downwards if it is a purine (38). DNA walks have been used for instance to identify long-range power-law correlations, periodicities and various fractal properties of genomic sequences (12, 39, 40).…”
Section: Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…To convert the DNA sequence into a numeric sequence that can be used as input for DDA we chose the 1D DNA walk representation in which the walker takes a step upwards if the nucleotide is a pyrimidine and downwards if it is a purine (38). DNA walks have been used for instance to identify long-range power-law correlations, periodicities and various fractal properties of genomic sequences (12, 39, 40).…”
Section: Methodsmentioning
confidence: 99%
“…Here we present DNA-DDA, a method that relies on the principles of nonlinear dynamics to predict A/B compartments from the DNA sequence alone. Nonlinear dynamical systems have fractals and chaos among their paradigms, both widespread in biological systems (10)(11)(12). The genome-wide contact maps obtained from Hi-C experiments have been shown to be (bi-)fractal (13), and their intricate self-similar patterns bear the hallmarks of chaos.…”
Section: Introductionmentioning
confidence: 99%
“…All aforementioned advantages for sequences visualization motivate researchers to visualize bio sequences in the form of 2D or 3D images [15,[30][31][32]. Theoretically, all kinds of K-mer histogram of sequences [6,8,30], one hot representation, representation methods based on physicochemical properties [33], representation methods based on a combination vector of several types of information [34], and DNA-walk representation can be adopted to encode biological sequences as 2D images.…”
Section: Introductionmentioning
confidence: 99%
“…To preserve spatial information of the sequence, DNA-walk [32][33][34] has been proposed, which produces an image containing an observable and recognizable pattern. In general, in this method, each nucleotide is represented as a two-dimensional vector, although it can be…”
Section: Introductionmentioning
confidence: 99%
“…[26],[27],[30]–[33]. For instance, DNA walks are recently applied to diagnose cancers following gene mutations [34],[35]. It was found that the mutated areas of DNA chains show a higher level of randomness, and it is measured by calculating the fractal dimension of walks.…”
Section: Introductionmentioning
confidence: 99%