Synchronization Approach to Analysis of Biological Systems

Rosenblum, Michael G.; Pikovsky, Arkady; Kurths, Jürgen

doi:10.1142/s0219477504001653

Cited by 80 publications

(44 citation statements)

References 47 publications

(63 reference statements)

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“…design is often used to improve the throughput, where a number of parallel channels with different cross-sectional dimensions are connected to a single inlet. [15][16][17][18] The FSS generated within individual channels varies due to different fluidic resistances of these channels. Such devices are especially useful for studying the magnitude-dependent cell response upon FSS.…”

Section: Introductionmentioning

confidence: 99%

A microfluidic shear device that accommodates parallel high and low stress zones within the same culturing chamber

et al. 2014

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Fluid shear stress (FSS) plays a critical role in regulating endothelium function and maintaining vascular homeostasis. Current microfluidic devices for studying FSS effects on cells either separate high shear stress zone and low shear stress zone into different culturing chambers, or arranging the zones serially along the flow direction, which complicates subsequent data interpretation. In this paper, we report a diamond shaped microfluidic shear device where the high shear stress zone and the low shear stress zone are arranged in parallel within one culturing chamber. Since the zones with different shear stress magnitudes are aligned normal to the flow direction, the cells in one stress group are not substantially affected by the flow-induced cytokine/chemokine releases by cells in the other group. Cell loading experiments using human umbilical vein endothelial cells show that the device is able to reveal stress magnitude-dependent and loading duration-dependent cell responses. The co-existence of shear stress zones with varied magnitudes within the same culturing chamber not only ensures that all the cells are subject to the identical culturing conditions, but also allows the resemblance of the differential shear stress pattern in natural arterial conditions. The device is expected to provide a new solution for studying the effects of heterogeneous hemodynamic patterns in the onset and progression of various vascular diseases. V C 2014 AIP Publishing LLC.

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Section: Introductionmentioning

confidence: 99%

A microfluidic shear device that accommodates parallel high and low stress zones within the same culturing chamber

et al. 2014

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“…To be mentioned here are the effects of noise-induced order in chaotic dynamics (Matsumoto and Tsuda, 1983), synchronization of self-sustained oscillators (Pikovsky et al, 2000), cumulative effects of many different scales (Aurell et al, 1996), coherence resonance (Pikovsky and Kurths, 1997), stochastic resonance (Nicolis and Nicolis, 1981;Benzi et al, 1981), and interference between initial error and stochastic forcing (Seki et al, 1993). These effects in some respects are close and cannot be easily distinguished from one another when signals reflect different variables of the same system (Rosenblum et al, 2004).…”

Section: Physical Mechanisms Of Perturbation Growthmentioning

confidence: 99%

On stochastic stability of regional ocean models with uncertainty in wind forcing

Ivanov

Chu

2007

Nonlin. Processes Geophys.

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Abstract.A shallow-water model was used to understand model error induced by non-Gaussian wind uncertainty. Although the model was simple, it described a generic system with many degrees of freedom randomized by external noise. The study focused on the nontrivial collective behavior of finite-amplitude perturbations on different scales and their influence on model predictability. The error growth strongly depended on the intensity and degree of spatial inhomogeneity of wind perturbations. For moderate but highly inhomogeneous winds, the error grew as a power law. This behavior was a consequence of varying local characteristic exponents and nonlinear interactions between different scales. Coherent growth of perturbations was obtained for different scales at various stages of error evolution. For the nonlinear stage, statistics of prediction error could be approximated by a Weibull distribution. An approach based on the Kullback-Leibler distance (the relative entropy) and probability-weighted moments was developed for identification of Weibull statistics. Bifurcations of the variance, skewness and kurtosis of the irreversible predictability time (a measure of model prediction skill) were detected when the accepted prediction accuracy (tolerance) exceeded some threshold.

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“…The nature of the couplings has been extensively studied from measured data in recent years [4][5][6][7][8][9][10][11][12][13]. Recently, Schäfer et al [14,15] and Rosenblum et al [16] found that there were sufficiently long periods of hidden synchronization and concluded that the cardiorespiratory synchronization and respiratory sinus arrhythmia (RSA) are two competing factors in cardiorespiratory interactions.…”

Section: Introductionmentioning

confidence: 99%

Phase Statistics Approach to Time Series Analysis

Ming-Chya¹

2007

J. Korean Phys. Soc.

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In this paper, an approach we introduced recently to study physiological and financial time series [Phys. Rev. E 73, 051917 (2006); Phys. Rev. E 73, 016118 (2006)] is reviewed. The approach mainly consists of an application of the Hilbert-Huang method to decompose an empirical time series into a number of intrinsic mode functions (IMFs), calculation of the instantaneous phase of the resultant IMFs, and the statistics of the instantaneous phase for each IMF. To illustrate the approach, we consider cardiorespiratory synchronization and the phase distribution and phase correlation of financial time series as examples. The formulation of the approach is systematic and can be applied to the analysis of other time series.

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Synchronization Approach to Analysis of Biological Systems

Cited by 80 publications

References 47 publications

A microfluidic shear device that accommodates parallel high and low stress zones within the same culturing chamber

A microfluidic shear device that accommodates parallel high and low stress zones within the same culturing chamber

On stochastic stability of regional ocean models with uncertainty in wind forcing

Phase Statistics Approach to Time Series Analysis

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