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Debanjan Mukherjee, Shawn C Shadden
The complexity of inertial particle dynamics through swirling chaotic flow structures characteristic of pulsatile large-artery hemodynamics renders significant challenges in predictive understanding of transport of such particles. This is specifically crucial for arterial embolisms, where knowledge of embolus transport to major vascular beds helps in disease diagnosis and surgical planning. Using a computational framework built upon image-based CFD and discrete particle dynamics modeling, a multi-parameter sampling-based study was conducted on embolic particle dynamics and transport...
December 29, 2016: Journal of Biomechanics
Yan-Ting Zhao, Yun-Bo Guo, Lei Gu, Xue-Xin Fan, Hua-Qian Yang, Zheng Chen, Peng Zhou, Qi Yuan, Guang-Ju Ji, Shi-Qiang Wang
AIMS: The heart contraction is controlled by the Ca(2+)-induced Ca(2+ )release (CICR) between L-type Ca(2+ )channels and ryanodine receptors (RyRs). The FK506-binding protein FKBP12.6 binds to RyR subunits, but its role in stabilizing RyR function has been debated for long. Recent reports of high-resolution RyR structure show that the HD2 domain that binds to the SPRY2 domain of neighbouring subunit in FKBP-bound RyR1 is detached and invisible in FKBP-null RyR2. The present study was to test the consequence of FKBP12...
January 10, 2017: Cardiovascular Research
Muhammad Usama, Nordin Zakaria
Data compression and encryption are key components of commonly deployed platforms such as Hadoop. Numerous data compression and encryption tools are presently available on such platforms and the tools are characteristically applied in sequence, i.e., compression followed by encryption or encryption followed by compression. This paper focuses on the open-source Hadoop framework and proposes a data storage method that efficiently couples data compression with encryption. A simultaneous compression and encryption scheme is introduced that addresses an important implementation issue of source coding based on Tent Map and Piece-wise Linear Chaotic Map (PWLM), which is the infinite precision of real numbers that result from their long products...
2017: PloS One
Aixing Wang, Chao Fang, Yibao Liu
In this article the dynamic features of the highly excited vibrational states of the hypochlorous acid (HOCl) non-integrable system are studied using the dynamic potential and Lyapunov exponent approaches. On the condition that the 3:1 resonance between the H-O stretching and H-O-Cl bending modes accompany the 2:1 Fermi resonance between the O-Cl stretching and H-O-Cl bending modes, it is found that the dynamic potentials of the highly excited vibrational states vary regularly with different Polyad numbers (P numbers)...
January 7, 2017: Molecules: a Journal of Synthetic Chemistry and Natural Product Chemistry
F Revuelta, E Vergini, R M Benito, F Borondo
In this paper, we extend a method recently reported [F. Revuelta et al., Phys. Rev. E 87, 042921 (2013)] for the calculation of the eigenstates of classically highly chaotic systems to cases of mixed dynamics, i.e., those presenting regular and irregular motions at the same energy. The efficiency of the method, which is based on the use of a semiclassical basis set of localized wave functions, is demonstrated by applying it to the determination of the vibrational states of a realistic molecular system, namely, the LiCN molecule...
January 7, 2017: Journal of Chemical Physics
Zhongyun Hua, Shuang Yi, Yicong Zhou, Chengqing Li, Yue Wu
Generating chaotic maps with expected dynamics of users is a challenging topic. Utilizing the inherent relation between the Lyapunov exponents (LEs) of the Cat map and its associated Cat matrix, this paper proposes a simple but efficient method to construct an n-dimensional (n-D) hyperchaotic Cat map (HCM) with any desired number of positive LEs. The method first generates two basic n-D Cat matrices iteratively and then constructs the final n-D Cat matrix by performing similarity transformation on one basic n-D Cat matrix by the other...
January 4, 2017: IEEE Transactions on Cybernetics
Yao-Ran Huo, Hong-Jie He, Fan Chen, Heng-Ming Tai
The existing adaptive single-pixel imaging methods suffer from a waste of sampling resources. The sampling resources are not used adequately for superior localization of significant coefficients and reconstruction. In this paper, an adaptive single-pixel imaging method via the guided coefficients in the Haar wavelet tree is proposed. The goal is to achieve high quality imaging with less sampling resources. The guided coefficients are selected from the unsampled coefficients by a proposed same-scale prediction method based on the sampled coefficients...
January 1, 2017: Journal of the Optical Society of America. A, Optics, Image Science, and Vision
Ofer Tchernichovski, Olga Feher, Daniel Fimiarz, Dalton Conley
Distributed social learning may occur at many temporal and spatial scales, but it rarely adds up to a stable culture. Cultures vary in stability and diversity (polymorphism), ranging from chaotic or drifting cultures, through cumulative polymorphic cultures, to stable monolithic cultures with high conformity levels. What features can sustain polymorphism, preventing cultures from collapsing into either chaotic or highly conforming states? We investigate this question by integrating studies across two quite separate disciplines: the emergence of song cultures in birds, and the spread of public opinion and social conventions in humans...
January 1, 2017: Journal of Experimental Biology
Tamara M Khlebodarova, Vladislav V Kogai, Stanislav I Fadeev, Vitaly A Likhoshvai
Today there are examples that prove the existence of chaotic dynamics at all levels of organization of living systems, except intracellular, although such a possibility has been theoretically predicted. The lack of experimental evidence of chaos generation at the intracellular level in vivo may indicate that during evolution the cell got rid of chaos. This work allows the hypothesis that one of the possible mechanisms for avoiding chaos in gene networks can be a negative evolutionary selection, which prevents fixation or realization of regulatory circuits, creating too mild, from the biological point of view, conditions for the emergence of chaos...
November 29, 2016: Journal of Bioinformatics and Computational Biology
Anuj Bansal, Ashish Mittal, Vikas Seth
INTRODUCTION: Dynamic meditation is one of the most popular active meditation, introduced by an Indian mystic Osho in 1970. This one hour meditation consists of five stages: Deep fast chaotic breathing, catharsis, using a mantra "Hoo", silence, and dancing. A previous study observed that Osho dynamic meditation causes decrease in several psychopathological variables such as aggressive behaviour, anxiety and depression. However, it is not objectively established that the dynamic meditation has an anti-stress effect...
November 2016: Journal of Clinical and Diagnostic Research: JCDR
Michael McCullough, Konstantinos Sakellariou, Thomas Stemler, Michael Small
It has been established that the count of ordinal patterns, which do not occur in a time series, called forbidden patterns, is an effective measure for the detection of determinism in noisy data. A very recent study has shown that this measure is also partially robust against the effects of irregular sampling. In this paper, we extend said research with an emphasis on exploring the parameter space for the method's sole parameter-the length of the ordinal patterns-and find that the measure is more robust to under-sampling and irregular sampling than previously reported...
December 2016: Chaos
Nina Sviridova, Kazuyuki Nakamura
Noise contamination in experimental data with underlying chaotic dynamics is one of the significant problems limiting the application of many nonlinear time series analysis methods. Although numerous studies have been devoted to the investigation of different aspects of noise-nonlinear dynamics interactions, the effects produced by noise on chaotic dynamics are not fully understood. This study sought to analyze the local effects produced by noise on chaotic dynamics with a smooth attractor. Local Wayland test translation errors were calculated for noise-induced Lorenz and Rössler chaotic models, and for experimental green light photoplethysmogram data...
December 2016: Chaos
M Sala, J C Leitão, E G Altmann
We propose new methods to numerically approximate non-attracting sets governing transiently chaotic systems. Trajectories starting in a vicinity Ω of these sets escape Ω in a finite time τ and the problem is to find initial conditions x∈Ω with increasingly large τ=τ(x). We search points x' with τ(x')>τ(x) in a search domain in Ω. Our first method considers a search domain with size that decreases exponentially in τ, with an exponent proportional to the largest Lyapunov exponent λ1. Our second method considers anisotropic search domains in the tangent unstable manifold, where each direction scales as the inverse of the corresponding expanding singular value of the Jacobian matrix of the iterated map...
December 2016: Chaos
Andrey Gavrilov, Dmitry Mukhin, Evgeny Loskutov, Evgeny Volodin, Alexander Feigin, Juergen Kurths
We present a detailed description of a new approach for the extraction of principal nonlinear dynamical modes (NDMs) from high-dimensional data. The method of NDMs allows the joint reconstruction of hidden scalar time series underlying the observational variability together with a transformation mapping these time series to the physical space. Special Bayesian prior restrictions on the solution properties provide an efficient recognition of spatial patterns evolving in time and characterized by clearly separated time scales...
December 2016: Chaos
H T Li, J Zu, Y F Yang, W Y Qin
Snap-through is used to improve the efficiencies of energy harvesters and extend their effective frequency bandwidths. This work uses the Melnikov method to explore the underlying snap-through mechanism and the conditions necessary for homoclinic bifurcations in a magnet-induced buckled energy harvester. First, an electromechanical model of the energy harvester is established analytically using the Euler-Bernoulli beam theory and the extended Hamilton's principle. Second, the Melnikov function of the model is derived, and the necessary conditions for homoclinic bifurcations and chaos are presented on the basis of this model...
December 2016: Chaos
Kenji Shinoda, Kunihiko Kaneko
Dynamics of coupled chaotic oscillators on a network are studied using coupled maps. Within a broad range of parameter values representing the coupling strength or the degree of elements, the system repeats formation and split of coherent clusters. The distribution of the cluster size follows a power law with the exponent α, which changes with the parameter values. The number of positive Lyapunov exponents and their spectra are scaled anomalously with the power of the system size with the exponent β, which also changes with the parameters...
December 16, 2016: Physical Review Letters
Renquan Lu, Peng Shi, Hongye Su, Zheng-Guang Wu, Jianquan Lu
This paper is concerned with the exponential synchronization issue of general chaotic neural networks subject to nonuniform sampling and control packet missing in the frame of the zero-input strategy. Based on this strategy, we make use of the switched system model to describe the synchronization error system. First, when the missing of control packet does not occur, an exponential stability criterion with less conservatism is established for the resultant synchronization error systems via a superior time-dependent Lyapunov functional and the convex optimization approach...
December 22, 2016: IEEE Transactions on Neural Networks and Learning Systems
Louise Viger, Fabrice Denis, Clément Draghi, Thibault Ménard, Christophe Letellier
Describing tumor growth is a key issue in oncology for correctly understanding the underlying mechanisms leading to deleterious cancers. In order to take into account the micro-environment in tumor growth, we used a model describing - at the tissue level - the interactions between host (non malignant), effector immune and tumor cells to simulate the evolution of cancer. The spatial growth is described by a Laplacian operator for the diffusion of tumor cells. We investigated how the evolution of the tumor diameter is related to the dynamics (periodic or chaotic oscillations, stable singular points) underlying the interactions between the different populations of cells in proliferation sites...
December 23, 2016: Journal of Theoretical Biology
Daniel C McFarland, Megan Johnson Shen, Heather Polizzi, John Mascarenhas, Marina Kremyanskaya, Jimmie Holland, Ronald Hoffman
BACKGROUND: Myeloproliferative neoplasms (MPNs), a group of chronic hematologic malignancies, carry significant physical and psychological symptom burdens that significantly affect patients' quality of life. OBJECTIVES: We sought to identify the relationship between early childhood adversity (ECA) and psychological distress in patients with MPNs, as ECA may compound symptom burden. METHODS: Patients with MPNs were assessed for ECA (i.e., the Risky Families Questionnaire-subscales include abuse/neglect/chaotic home environment), distress (i...
January 2017: Psychosomatics
Mathias Heltberg, Ryan A Kellogg, Sandeep Krishna, Savaş Tay, Mogens H Jensen
Oscillations and noise drive many processes in biology, but how both affect the activity of the transcription factor nuclear factor κB (NF-κB) is not understood. Here, we observe that when NF-κB oscillations are entrained by periodic tumor necrosis factor (TNF) inputs in experiments, NF-κB exhibits jumps between frequency modes, a phenomenon we call "cellular mode-hopping." By comparing stochastic simulations of NF-κB oscillations to deterministic simulations conducted inside and outside the chaotic regime of parameter space, we show that noise facilitates mode-hopping in all regimes...
December 21, 2016: Cell Systems
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