Long range correlation and possible electron conduction through DNA sequences

Wang, Sheng-Cheng; Li, Ping-Cheng; Tseng, Hsen-Che

doi:10.1016/j.physa.2008.04.029

Cited by 8 publications

(5 citation statements)

References 24 publications

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“…Chaos here does not mean the complete disorder of the system as the media is commonly associating this word with, but means when a system is determined by iteration of logistic equations resulting in unpredictable results (Mandelbrot 1983 ; Liebovitch 1998 ; Stam 2005 ; Kunicki et al 2009 ). This means that even being very similar to random processes, or with an erratic behavior, a deterministic chaos presents self-similarity well known as resulting from fractal processes, and this means that there is a long-range correlation also known as the memory of the system (Peng et al 1994 ; Stanley et al 1996 ; Havlin et al 1999 ; Wang et al 2008 ; Peng et al 1995 ). Therefore, chaos is the result of complex systems, when components of the system are correlated and competing for survival (such as rabbits and wolves, or fruit flies in a flask, sharks, and shrimp, and also virus and humans).…”

Section: Introductionmentioning

confidence: 99%

Chaotic model for COVID-19 growth factor

Fernandes

2020

Res. Biomed. Eng.

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Purpose The new COVID-19 pandemic caused by SARS-CoV-2 initiated in the world a large quarantine, due to the exponential capacity of the virus in spreading from human contact. In the present work, the dynamics of such spreading was evaluated by the analysis of the growth factor of the disease. Method It was applied the space phase of the time series, the detrended fluctuation analysis (DFA) of the series, and the fractal dimension of the space phase. Results It was possible to notice a strange attractor in the space phase of the growth factor indicating that the process is a deterministic chaos. The value of the alpha coefficient by DFA showed to be less than 0.5, characteristic of anti-persistent long-range memory, in which large events alternate with small events, and vice-versa. The fractal dimension of the phase space set was a fractal number, between 1 and 2, another indicator that the growth factor of the disease is not random. Conclusion This global analysis is pointing that the spread of COVID-19 is a deterministic chaos, with long-range memory. Understanding such dynamics may help the control of this disease.

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Section: Introductionmentioning

confidence: 99%

Chaotic model for COVID-19 growth factor

Fernandes

2020

Res. Biomed. Eng.

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“…where and κ 1 , κ 2 denote the strength for the linear and nonlinear coupling respectively and a is the inverse width of the backbone. It should be mentioned that the two parameters are determined at the nth site of bases (heterogeneity) at the same time [28,29]. In equation (3) m and D are the common mass of the bases and the dissociation energy (bond breaking), respectively.…”

Section: Dna In the Ideal State 21 Model And Lagrangian Equation Of M...mentioning

confidence: 99%

On the dynamics of DNA molecules with an-harmonics potential in the normal and damaged states

Abdel‐Gawad¹,

Tantawy²,

Nkomom³

et al. 2021

Phys. Scr.

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DNA damage is due to any change that introduces a deviation from the usual double-helical structure. At this state, the study of the motion of DNA molecules requires novel dynamical models. We propose a discrete model to describe the nonlinear dynamics DNA molecule with inharmonic potential. We consider two physical situations, the ideal or homogeneous state, and the inhomogeneous or damage state. The problem of the homogeneous (normal) case with ANHP was considered in the literature, but the dynamics of DNA molecules were not inspected. Here, our objective is to distinguish between the dynamics of DNA in the normal and damaged states. The novelty of the present work stems from a conjuncture that the DNA state can be depicted from the dynamics of the molecules. The unified and extended unified methods are used to find the exact solutions of the systems in both cases, respectively. Numerically, it is found that, in the ideal case, the motion of DNA molecules is periodic and stable. Considering the inhomogeneous case due to damage, the small or moderate values of the backbone rigidity make the motion of the molecule periodic and stable, but for high values, the motion becomes aperiodic and unstable. But for small or moderate values of the backbone rigidity, the motion becomes periodic and stable. These results are of interest in vulgarizing the physical properties of DNA molecules.

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“…The method showed to be powerful also for estimating health and disease, in which healthy hearts presented a chaotic or fractal pattern in the interval of heart beats, and pathological hearts presented a random pattern of these intervals. Therefore, self-similarity characteristics of fractal phenomena are presented from molecules such as DNA and proteins to organs such as hearts (Peng et al 1994;Stanley et al 1996;Havlin et al 1999;Wang et al 2008).…”

Section: Introductionmentioning

confidence: 99%

Fractal signature of coronaviruses related to severe acute respiratory syndrome

2020

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Purpose The aim of this work was to investigate the genome of SARS-CoV, MERS-CoV, and SARS-CoV-2 by the paradigm of chaos theory and fractal geometry. Coronavirus is the agent that causes the severe acute respiratory syndrome (SARS) and Middle East respiratory syndrome (MERS) and emergent infections such as the present pandemic of COVID-19. Understanding its genome pattern is important for developing new and faster ways of testing for identifying the genome of the virus and also for better understanding of its origin and evolution. Methods For that, it was calculated the alpha coefficient by detrended fluctuation analysis (DFA) for the sequences of these genomes converted to binary numbers in order to determine if it is a chaotic or a random series of data. Also, it applied the random walking for obtaining a fractal map of the whole genome and calculated the fractal dimension (FD) by box-counting of this map by two different software.Results With this, it was found that the alpha coefficient of the first SARS viruses was > 0.5, indicating that the series is chaotic or fractal, and has a persistent long-range memory or self-similarity along its sequence. This is not the case for MERS virus, which showed to have a completely random sequence (α < 0.5). For the fractal dimension, SARS viruses presented a FD around 1.5, and for MERS the fractal dimension decreases (FD < 1.5). ConclusionThe images generated by random walking of the entire RNA genome are by itself a fractal signature of the virus, which may be applied for studying its origin and for faster diagnostic of COVID-19.

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Long range correlation and possible electron conduction through DNA sequences

Cited by 8 publications

References 24 publications

Chaotic model for COVID-19 growth factor

Chaotic model for COVID-19 growth factor

On the dynamics of DNA molecules with an-harmonics potential in the normal and damaged states

Fractal signature of coronaviruses related to severe acute respiratory syndrome

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