High-order nonlinear excitations in the Joyeux-Buyukdagli model of DNA

Yao, Yingbo; Wang, Xiaoyun; Tang, Bing

doi:10.1007/s10867-015-9402-3

Cited by 6 publications

(2 citation statements)

References 39 publications

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“…Here we have paid our attention on the Joyeux and Buyukdagli (JB) model [34] in which the stacking interaction potential is finite in contrary to the Peyrard-Bishop-Dauxois (PBD) model [33] where such interaction potential is infinite. Very recently Yao et al [35] have showed that the JB model supports envelope solitons and discrete breathers that have been demonstrated to be very crucial in the transport and localization energy processes [43,[36][37][38]42]. The Hamiltonian of an homogenous JB model reads:…”

Section: A Dna-neuron Modelmentioning

confidence: 99%

“…DNA is a thread-like chain of nucleotides carrying the genetic information used in the growth, development, functioning and reproduction of all known living organisms and many viruses. During the last decades, neuronal activity and DNA dynamics [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47][48] have received much interest because of their implications in most biological processes governing the behavior of all living cells, animals and plants.…”

Section: Introductionmentioning

confidence: 99%

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Neuronal firing and DNA dynamics in a neural network

Etémé

Tabi²,

Ateba

et al. 2018

J. Phys. Commun.

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We study the mutual effects of neuronal electrical activity and DNA dynamics in a network of electrically coupled neurons with nearest neighbors communication. For that we develop by means of the coupling function method, a mathematical DNA-neuron model that can be considered as an extension of the simplified Hodgkin-Huxley models. Numerically, we explore the biological properties of the model with emphasis on local phase transitions and synchronous neural activity. Our results suggest that firing and coherent behavior of neural network are controlled by DNA dynamics. Conversely, neuronal activity induces DNA electrochemical denaturation. As a result, we expect that the prominent DNA-neuron model would be worth in controlling gene expression and neurodegenerative diseases in the sensory thalamus.

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Section: A Dna-neuron Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Neuronal firing and DNA dynamics in a neural network

Etémé

Tabi²,

Ateba

et al. 2018

J. Phys. Commun.

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Impact of helicoidal interactions and weak damping on the breathing modes of Joyeux-Buyukdagli model of DNA

2023

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Modulational Instability and Discrete Localized Modes in Two Coupled Atomic Chains with Next-Nearest-Neighbor Interactions

Nfor

Yamgoué

2022

J Nonlinear Math Phys

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A pair of one dimensional atomic chains which are coupled via the Klein-Gordon potential is considered in this study, with each chain experiencing both nearest and next-nearest-neighbor interactions. The discrete nonlinear Schrödinger amplitude equation with next-nearest-neighbor interactions is thus derived from the out-phase equation of motion of the coupled chains. This is achieved by using the rotating wave approximations perturbation method, in which both the carrier wave and envelope are explicitly treated in the discrete regime. It is shown that the next-nearest-neighbor interactions greatly modifies the region of observation of modulational instability in the atomic chain. By exploring the discrete Hirota-Bilinear method, we obtain the discrete one-soliton solution which is localized around the origin and structurally stable because it conserves it form as time evolves. However when the atomic chain is purely subjected to a symmetric coupling potential, we observe a structurally unstable discrete excitation that changes into an up-and-down asymmetric localized modes; both in the presence and absence of next-nearest-neighbor interactions. Results of numerical simulations clearly depicts the long term evolution of these discrete nonlinear excitations, that evolve from symmetric to asymmetric localized modes in the atomic chain.

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High-order nonlinear excitations in the Joyeux-Buyukdagli model of DNA

Cited by 6 publications

References 39 publications

Neuronal firing and DNA dynamics in a neural network

Neuronal firing and DNA dynamics in a neural network

Impact of helicoidal interactions and weak damping on the breathing modes of Joyeux-Buyukdagli model of DNA

Modulational Instability and Discrete Localized Modes in Two Coupled Atomic Chains with Next-Nearest-Neighbor Interactions

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