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Patterns of cortical activity during the observation of Public Service Announcements and commercial advertisings. 观察公益广告和商业广告时大脑皮层活动的模式。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S3
Giovanni Vecchiato, Laura Astolfi, Febo Cincotti, Fabrizio De Vico Fallani, Domenica M Sorrentino, Donatella Mattia, Serenella Salinari, Luigi Bianchi, Jlena Toppi, Fabio Aloise, Fabio Babiloni

Background: In the present research we were interested to study the cerebral activity of a group of healthy subjects during the observation a documentary intermingled by a series of TV advertisements. In particular, we desired to examine whether Public Service Announcements (PSAs) are able to elicit a different pattern of activity, when compared with a different class of commercials, and correlate it with the memorization of the showed stimuli, as resulted from a following subject's verbal interview.

Methods: We recorded the EEG signals from a group of 15 healthy subjects and applied the High Resolution EEG techniques in order to estimate and map their Power Spectral Density (PSD) on a realistic cortical model. The single subjects' activities have been z-score transformed and then grouped to define four different datasets, related to subjects who remembered and forgotten the PSAs and to subjects who remembered and forgotten cars commercials (CAR) respectively, which we contrasted to investigate cortical areas involved in this encoding process.

Results: The results we here present show that the cortical activity elicited during the observation of the TV commercials that were remembered (RMB) is higher and localized in the left frontal brain areas when compared to the activity elicited during the vision of the TV commercials that were forgotten (FRG) in theta and gamma bands for both categories of advertisements (PSAs and CAR). Moreover, the cortical maps associated with the PSAs also show an increase of activity in the alpha and beta band.

Conclusions: In conclusion, the TV advertisements that will be remembered by the experimental population have increased their cerebral activity, mainly in the left hemisphere. These results seem to be congruent with and well inserted in the already existing literature, on this topic, related to the HERA model. The different pattern of activity in different frequency bands elicited by the observation of PSAs may be justified by the existence of additional cortical networks processing these kind of audiovisual stimuli. Further research with an extended set of subjects will be necessary to further validate the observations reported in this paper.

背景:在本研究中,我们有兴趣研究一组健康受试者在观看一系列电视广告穿插的纪录片时的大脑活动。特别是,我们希望研究公共服务广告(psa)与不同类别的商业广告相比,是否能够引发不同的活动模式,并将其与所显示的刺激的记忆联系起来,这是由以下受试者的口头采访产生的。方法:记录15例健康受试者的脑电信号,应用高分辨率脑电技术在真实皮质模型上估计和绘制其功率谱密度(PSD)。对单个受试者的活动进行z-score转换,然后分组定义四个不同的数据集,分别与记住和忘记psa的受试者以及记住和忘记汽车广告(CAR)的受试者相关,我们对比研究了参与这一编码过程的皮层区域。结果:我们的研究结果表明,与两类广告(psa和CAR)在观看被遗忘的电视广告(FRG)时在θ和γ波段引发的活动相比,在观看被记住的电视广告(RMB)时引发的皮层活动更高,且位于左额叶区域。此外,与psa相关的皮质图也显示α和β带的活动增加。结论:综上所述,将被实验人群记住的电视广告增加了他们的大脑活动,主要是在左半球。这些结果似乎与已经存在的关于该主题的与HERA模型相关的文献一致并很好地插入。观察到的不同频带的不同活动模式可能是由处理这些类型的视听刺激的额外皮层网络的存在所证明的。为了进一步验证本文所报道的观察结果,有必要进一步研究一组扩展的受试者。
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引用次数: 10
Transient process of cortical activity during Necker cube perception: from local clusters to global synchrony. 内克尔立方体感知过程中皮层活动的短暂过程:从局部集群到全局同步。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S7
Daisuke Shimaoka, Keiichi Kitajo, Kunihiko Kaneko, Yoko Yamaguchi

Background: It has been discussed that neural phase-synchrony across distant cortical areas (or global phase-synchrony) was correlated with various aspects of consciousness. The generating process of the synchrony, however, remains largely unknown. As a first step, we investigate transient process of global phase-synchrony, focusing on phase-synchronized clusters. We hypothesize that the phase-synchronized clusters are dynamically organized before global synchrony and clustering patterns depend on perceptual conditions.

Methods: In an EEG study, Kitajo reported that phase-synchrony across distant cortical areas was selectively enhanced by top-down attention around 4 Hz in Necker cube perception. Here, we further analyzed the phase-synchronized clusters using hierarchical clustering which sequentially binds up the nearest electrodes based on similarity of phase locking between the cortical signals. First, we classified dominant components of the phase-synchronized clusters over time. We then investigated how the phase-synchronized clusters change with time, focusing on their size and spatial structure.

Results: Phase-locked clusters organized a stable spatial pattern common to the perceptual conditions. In addition, the phase-locked clusters were modulated transiently depending on the perceptual conditions and the time from the perceptual switch. When top-down attention succeeded in switching perception as subjects intended, independent clusters at frontal and occipital areas grew to connect with each other around the time of the perceptual switch. However, the clusters in the occipital and left parietal areas remained divided when top-down attention failed in switching perception. When no primary biases exist, the cluster in the occipital area grew to its maximum at the time of the perceptual switch within the occipital area.

Conclusions: Our study confirmed the existence of stable phase-synchronized clusters. Furthermore, these clusters were transiently connected with each other. The connecting pattern depended on subjects' internal states. These results suggest that subjects' attentional states are associated with distinct spatio-temporal patterns of the phase-locked clusters.

背景:我们已经讨论过,跨远端皮层区域的神经相位同步(或全局相位同步)与意识的各个方面相关。然而,同步的产生过程在很大程度上仍然未知。作为第一步,我们研究了全局相位同步的瞬态过程,重点研究了相位同步簇。我们假设,在全局同步之前,相位同步集群是动态组织的,聚类模式依赖于感知条件。方法:在一项脑电图研究中,Kitajo报告说,在Necker立方体感知中,自上而下的注意在4 Hz左右有选择性地增强了远端皮层区域的相位同步。在这里,我们进一步使用分层聚类分析了相位同步簇,该聚类基于皮层信号之间锁相的相似性顺序结合最近的电极。首先,我们对相位同步集群的主要组成部分进行了分类。然后,我们研究了相同步集群如何随时间变化,重点研究了它们的大小和空间结构。结果:锁相簇组织了一个稳定的空间模式,共同的感知条件。此外,锁相簇根据感知条件和感知切换时间进行瞬态调制。当自上而下的注意力成功地按照受试者的意愿转换感知时,前额和枕叶区域的独立集群在感知转换的时候开始相互连接。然而,当自上而下的注意力转换知觉失败时,枕叶和左顶叶区域的簇仍然是分裂的。当不存在初级偏倚时,枕区的群集在枕区的知觉转换时达到最大。结论:我们的研究证实了稳定的相同步团簇的存在。此外,这些集群彼此之间是瞬时连接的。连接模式取决于被试的内部状态。这些结果表明,被试的注意力状态与锁相簇的不同时空模式有关。
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引用次数: 15
Gender differences in brain areas involved in silent counting by means of fMRI. 通过功能磁共振成像研究参与沉默计数的大脑区域的性别差异。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S2
Olivera B Sveljo, Katarina M Koprivsek, Milos A Lucic, Mladen B Prvulovic, Milka Culic

Background: Pattern of brain asymmetries varies with handedness, gender, age, and with variety of genetic and social factors. Large-scale neuroimaging analyses can optimize the detection of asymmetric features and confirm the factors that might modulate pattern of brain asymmetries. We attempted to evaluate eventual differences between genders in hemodynamic responses to a simple language task.

Methods: 12 healthy right-handed volunteers (age 24-46), 6 men and 6 women underwent fMRI scanning while performing the simple cognitive - language processing task - silent number counting in Serbian.

Results: Group analysis of hemodynamic responses shows activation in expected brain language areas of inferior frontal gyrus (IFG) and superior temporal gyrus (STG) in both hemispheres. In the male group, aside from dedicated language areas in IFG and STG, activation was noted in right frontal region and interhemispheric supplementary motor area. On the other hand, in the female group, besides activation in dedicated language areas, activation was noted, in right hippocampus, limbic brain and cerebellum bilaterally.

Conclusions: Our results on differences in silent counting by means of fMRI suggest that those differences may be based on different brain pattern activation in men and women. The relation between performance, strategies and regional brain activation should be the topic of further studies when considering not only gender differences in language processing but also differences that may be attributed to the variations in the task details, stimuli, and the stimulus presentation methods.

背景:大脑不对称的模式随惯用手、性别、年龄以及各种遗传和社会因素而变化。大规模的神经影像学分析可以优化非对称特征的检测,并确定可能调节大脑不对称模式的因素。我们试图评估性别对简单语言任务的血流动力学反应的最终差异。方法:12名健康的右撇子志愿者(年龄24-46岁),6男6女,在完成简单的认知语言加工任务-塞尔维亚语默数时进行功能磁共振成像扫描。结果:血流动力学反应组分析显示,两个半球额下回(IFG)和颞上回(STG)的预期脑语言区被激活。在男性组中,除了IFG和STG中专门的语言区域外,右额叶区和半球间辅助运动区也被激活。另一方面,在女性组中,除了专门的语言区域被激活外,右侧海马、边缘脑和双侧小脑也被激活。结论:我们通过fMRI对沉默计数差异的研究结果表明,这些差异可能是基于男性和女性不同的大脑模式激活。当考虑到语言处理的性别差异,以及任务细节、刺激和刺激呈现方法的差异时,表现、策略和大脑区域激活之间的关系应该是进一步研究的主题。
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引用次数: 14
Cortical potential imaging using L-curve and GCV method to choose the regularisation parameter. 采用l曲线和GCV方法选择皮质电位成像的正则化参数。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S4
Narayan P Subramaniyam, Outi Rm Väisänen, Katrina E Wendel, Jaakko Av Malmivuo

Background: The electroencephalography (EEG) is an attractive and a simple technique to measure the brain activity. It is attractive due its excellent temporal resolution and simple due to its non-invasiveness and sensor design. However, the spatial resolution of EEG is reduced due to the low conducting skull. In this paper, we compute the potential distribution over the closed surface covering the brain (cortex) from the EEG scalp potential. We compare two methods - L-curve and generalised cross validation (GCV) used to obtain the regularisation parameter and also investigate the feasibility in applying such techniques to N170 component of the visually evoked potential (VEP) data.

Methods: Using the image data set of the visible human man (VHM), a finite difference method (FDM) model of the head was constructed. The EEG dataset (256-channel) used was the N170 component of the VEP. A forward transfer matrix relating the cortical potential to the scalp potential was obtained. Using Tikhonov regularisation, the potential distribution over the cortex was obtained.

Results: The cortical potential distribution for three subjects was solved using both L-curve and GCV method. A total of 18 cortical potential distributions were obtained (3 subjects with three stimuli each - fearful face, neutral face, control objects).

Conclusions: The GCV method is a more robust method compared to L-curve to find the optimal regularisation parameter. Cortical potential imaging is a reliable method to obtain the potential distribution over cortex for VEP data.

背景:脑电图(EEG)是一种有吸引力且简单的测量大脑活动的技术。它具有良好的时间分辨率和简单的非侵入性和传感器设计。然而,由于颅骨的低导电性,降低了EEG的空间分辨率。在本文中,我们计算了脑电图头皮电位在覆盖大脑(皮质)的封闭表面上的电位分布。我们比较了用于获得正则化参数的两种方法- l曲线和广义交叉验证(GCV),并研究了将这些技术应用于视觉诱发电位(VEP)数据的N170分量的可行性。方法:利用人眼(VHM)图像数据集,建立头部有限差分法(FDM)模型。使用的EEG数据集(256通道)是VEP的N170分量。得到了皮层电位与头皮电位之间的正向转移矩阵。利用吉洪诺夫正则化,得到脑皮层电位分布。结果:分别用l曲线法和GCV法求解了3名受试者的皮质电位分布。共获得18个脑皮层电位分布(3个被试,每个被试分别有恐惧面孔、中性面孔和对照对象三种刺激)。结论:与l曲线相比,GCV法在寻找最优正则化参数方面具有更强的鲁棒性。皮层电位成像是获取VEP数据皮层电位分布的可靠方法。
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引用次数: 5
Why bother with a COST Action? The benefits of networking in science. 为什么要使用成本操作呢?在科学领域建立关系网的好处。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S12
Kalliopi Kostelidou, Fabio Babiloni

A COST Action is a consortium of -mainly- European scientists (but open to international cooperation) working on a common research area, with the same subject; COST provides funding to the Actions for networking and dissemination activities, thus the participating scientists must have secured research funding from other national or European sources. COST funding is in the scale of approximately 100 kEuros per year and in this vein, it is often criticized both in that it does not fund research and the core science and in that its funding is 'limited'. However, COST with its instruments is an integral pillar of the European Research Area, and it is through its mission that a variety of aspects of the research environment, fundamental to the success of the research, are catered for; these include scientific networking, collaboration/exchange/training and dissemination activities. Through fast procedures, proposals are evaluated and approved for funding in less than one year from submission date and Actions become operational immediately, managed on flexible management. In this way, COST contributes to reducing the fragmentation in European research investments, while opening the European Research Area to cooperation worldwide. COST Actions have an excellent record of building the critical mass for follow up activities in the EU FP or other similarly competitive programmes.

“成本行动”是一个主要由欧洲科学家组成的联盟(但对国际合作开放),在一个共同的研究领域从事同一主题;成本为行动的网络和传播活动提供资金,因此参与的科学家必须从其他国家或欧洲来源获得研究经费。成本基金的规模大约是每年100欧元,在这种情况下,它经常受到批评,因为它不资助研究和核心科学,而且它的资金“有限”。然而,成本及其仪器是欧洲研究区不可或缺的支柱,通过其使命,研究环境的各个方面,对研究的成功至关重要,都得到了满足;这些活动包括科学网络、合作/交流/培训和传播活动。通过快速程序,提案在提交之日起不到一年的时间内得到评估和批准,行动立即开始运作,采用灵活的管理方式进行管理。通过这种方式,成本有助于减少欧洲研究投资的碎片化,同时向全球合作开放欧洲研究区。成本行动在为欧盟计划生育或其他类似竞争性方案的后续活动建立临界质量方面有着良好的记录。
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引用次数: 2
On consciousness, resting state fMRI, and neurodynamics. 关于意识,静息状态功能磁共振成像和神经动力学。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S9
Arvid Lundervold

Background: During the last years, functional magnetic resonance imaging (fMRI) of the brain has been introduced as a new tool to measure consciousness, both in a clinical setting and in a basic neurocognitive research. Moreover, advanced mathematical methods and theories have arrived the field of fMRI (e.g. computational neuroimaging), and functional and structural brain connectivity can now be assessed non-invasively.

Results: The present work deals with a pluralistic approach to "consciousness'', where we connect theory and tools from three quite different disciplines: (1) philosophy of mind (emergentism and global workspace theory), (2) functional neuroimaging acquisitions, and (3) theory of deterministic and statistical neurodynamics - in particular the Wilson-Cowan model and stochastic resonance.

Conclusions: Based on recent experimental and theoretical work, we believe that the study of large-scale neuronal processes (activity fluctuations, state transitions) that goes on in the living human brain while examined with functional MRI during "resting state", can deepen our understanding of graded consciousness in a clinical setting, and clarify the concept of "consiousness" in neurocognitive and neurophilosophy research.

背景:在过去的几年里,脑功能磁共振成像(fMRI)作为一种测量意识的新工具被引入临床环境和基础神经认知研究中。此外,先进的数学方法和理论已经进入了fMRI领域(例如计算神经成像),并且现在可以无创地评估功能和结构脑连接。结果:目前的工作涉及“意识”的多元方法,我们将来自三个完全不同学科的理论和工具联系起来:(1)心灵哲学(紧急主义和全球工作空间理论),(2)功能性神经成像获取,以及(3)确定性和统计神经动力学理论-特别是威尔逊-考恩模型和随机共振。结论:基于最近的实验和理论工作,我们认为,在“静息状态”下,通过功能性MRI检查活体大脑中发生的大规模神经元过程(活动波动、状态转换)的研究,可以加深我们在临床环境中对分级意识的理解,并澄清“意识”在神经认知和神经哲学研究中的概念。
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引用次数: 23
A step towards non-invasive characterization of the human frontal eye fields of individual subjects. 迈向非侵入性表征个体受试者的人类前额视野的一步。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S11
Andreas A Ioannides, Peter Bc Fenwick, Elina Pitri, Lichan Liu

Background: Identifying eye movement related areas in the frontal lobe has a long history, with microstimulation in monkeys producing the most clear-cut results. For humans, however, there is still no consensus about the location and the extent of the frontal eye field (FEF). There is also no simple non-invasive method for unambiguously defining the FEF in individual subjects, a prerequisite for clinical applications. Here we explore the use of magnetoencephalography (MEG) for the non-invasive identification and characterization of FEF activity in an individual subject.

Methods: We mapped human brain activity before, during and after saccades by applying tomographic analysis to MEG data. Statistical parametric maps and circular statistics produced plausible FEF loci, but no unambiguous definition for individual subjects. Here we first computed the spectral decomposition and correlation with electrooculogram (EOG) of the tomographic brain activations. For each of these two measures statistical comparisons were made between different saccades.

Results: In this paper, we first review the frontal cortex activations identified in earlier animal and human studies and place the putative human FEFs in a well-defined anatomical framework. This framework is then used as reference for describing the results of new Fourier analysis of the tomographic solutions comparing active saccade tasks and their controls. The most consistent change in the dorsal frontal cortex was at the putative left FEF, for both saccades to the left and right. The asymmetric result is consistent with the 1-way callosal traffic theory. We also showed that the new correlation analysis had its most consistent change in the contralateral putative FEF. This result was obtained for EOG latencies before saccade onset with delays of a few hundreds of milliseconds (FEF activity leading the EOG) and only for visual cues signaling the execution of a saccade in a previously defined saccade direction.

Conclusions: The FEF definition derived from microstimulation describes only one of the areas in the dorsal lateral frontal lobe that act together to plan, prepare and execute a saccade. The definition and characterization of these areas in an individual subject can be obtained from non-invasive MEG measurements.

背景:识别额叶中与眼球运动相关的区域有着悠久的历史,在猴子身上的微刺激产生了最明确的结果。然而,对于人类来说,关于前额视野(FEF)的位置和范围仍然没有共识。也没有简单的非侵入性方法来明确定义个体受试者的FEF,这是临床应用的先决条件。在这里,我们探索使用脑磁图(MEG)对个体受试者的FEF活动进行非侵入性识别和表征。方法:采用层析方法对脑电数据进行快速扫视前、中、后的脑活动分析。统计参数图和循环统计产生了可信的FEF位点,但对个体受试者没有明确的定义。本文首先计算了脑激活层析成像的频谱分解及其与眼电图(EOG)的相关性。对于这两种方法中的每一种,在不同的扫视之间进行了统计比较。结果:在本文中,我们首先回顾了在早期动物和人类研究中发现的额叶皮层激活,并将假定的人类FEFs置于定义良好的解剖学框架中。然后,这个框架被用作描述比较活动扫视任务及其控制的层析成像解决方案的新傅里叶分析结果的参考。对于左扫视和右扫视来说,前额叶背皮层最一致的变化是在假定的左FEF。不对称的结果与单向胼胝体交通理论一致。我们还发现,新的相关分析在对侧假定FEF中具有最一致的变化。这个结果是在眼跳开始前的EOG延迟中获得的,延迟为几百毫秒(FEF活动导致EOG),并且仅用于在先前定义的眼跳方向上发出眼跳执行信号的视觉线索。结论:来自微刺激的FEF定义只描述了前额叶背外侧共同计划、准备和执行扫视的一个区域。个体受试者的这些区域的定义和特征可以通过非侵入性脑磁图测量获得。
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引用次数: 6
Effect of noise in processing of visual information. 噪声对视觉信息处理的影响。
Pub Date : 2010-06-03 DOI: 10.1186/1753-4631-4-S1-S5
Hiie Hinrikus, Deniss Karai, Jaanus Lass, Anastassia Rodina

Background: Information transmission and processing in the nervous system has stochastic nature. Multiple factors contribute to neuronal trial-to-trial variability. Noise and variations are introduced by the processes at the molecular and cellular level (thermal noise, channel current noise, membrane potential variations, biochemical and diffusion noise at synapses etc). The stochastic processes are affected by different physical (temperature, electromagnetic field) and chemical (drugs) factors. The aim of this study was experimental investigation of hypotheses that increase in the noise level in the brain affects processing of visual information. Change in the noise level was introduced by an external factor producing excess noise in the brain.

Methods: An exposure to 450 MHz low-frequency modulated microwave radiation was applied to generate excess noise. Such exposure has been shown to increase diffusion, alter membrane resting potential, gating variables and intracellular Calcium efflux. Nine healthy volunteers passed the experimental protocol at the lower (without microwave) and the higher (with microwave) noise level. Two photos (visual stimuli) of unfamiliar, young male faces were presented to the subjects, one picture after another. The task was to identify later the photos from a group of six photos and to decide in which order they were presented. Each subject had a total of eight sessions at the lower and eight at the higher noise level. Each session consisted of 50 trials; altogether a subject made 800 trials, 400 at the lower and 400 at the higher noise level. Student t-test was applied for statistical evaluation of the results.

Results: Correct recognition of both stimuli in the right order was better at the lower noise level. All the subjects under investigation showed higher numbers of right answers in trials at the lower noise level. Average number of correct answers from n=400 trials with microwave exposure was 50.3, without exposure 54.4, difference 7.5%, p<0.002. No difference between results at the lower and the higher noise level was revealed in the case of only partly correct or incorrect answers.

Conclusions: Our experimental results showed that introduced excess noise reduced significantly ability of the nervous system in correct processing of visual information.

背景:神经系统的信息传递和加工具有随机性。多种因素导致神经元试验间的差异。噪声和变化是由分子和细胞水平的过程引入的(热噪声、通道电流噪声、膜电位变化、突触的生化和扩散噪声等)。随机过程受到不同物理(温度、电磁场)和化学(药物)因素的影响。这项研究的目的是对大脑中噪音水平的增加会影响视觉信息处理的假设进行实验调查。噪音水平的变化是由大脑中产生过量噪音的外部因素引起的。方法:采用450mhz低频调制微波辐射产生过量噪声。这种暴露已被证明增加扩散,改变膜静息电位,门控变量和细胞内钙外排。9名健康志愿者在低(无微波)和高(有微波)噪声水平下通过了实验方案。两张不熟悉的年轻男性面孔的照片(视觉刺激)一张接一张地呈现给受试者。这项任务是随后从一组六张照片中识别出这些照片,并决定它们呈现的顺序。每个受试者总共有8个低噪音和8个高噪音。每组包括50个试验;一个实验对象总共做了800次实验,400次在低噪音水平下,400次在高噪音水平下。采用学生t检验对结果进行统计学评价。结果:在较低的噪声水平下,对两种刺激物按正确顺序的正确识别效果较好。在较低的噪音水平下,所有被调查者都显示出更高的正确答案。n=400次实验中,微波暴露组的平均正确答案数为50.3,未暴露组的平均正确答案数为54.4,差异为7.5%。结论:实验结果表明,过量噪声的引入显著降低了神经系统正确处理视觉信息的能力。
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引用次数: 5
Fractional-calculus diffusion equation. 分数微积分扩散方程。
Pub Date : 2010-05-21 DOI: 10.1186/1753-4631-4-3
Abdul-Wali Ms Ajlouni, Hussam A Al-Rabai'ah

Background: Sequel to the work on the quantization of nonconservative systems using fractional calculus and quantization of a system with Brownian motion, which aims to consider the dissipation effects in quantum-mechanical description of microscale systems.

Results: The canonical quantization of a system represented classically by one-dimensional Fick's law, and the diffusion equation is carried out according to the Dirac method. A suitable Lagrangian, and Hamiltonian, describing the diffusive system, are constructed and the Hamiltonian is transformed to Schrodinger's equation which is solved. An application regarding implementation of the developed mathematical method to the analysis of diffusion, osmosis, which is a biological application of the diffusion process, is carried out. Schrödinger's equation is solved.

Conclusions: The plot of the probability function represents clearly the dissipative and drift forces and hence the osmosis, which agrees totally with the macro-scale view, or the classical-version osmosis.

背景:利用分数阶微积分对非保守系统进行量子化和对布朗运动系统进行量子化的后续工作,旨在考虑微尺度系统的量子力学描述中的耗散效应。结果:用一维菲克定律经典地表示了系统的正则量子化,并根据狄拉克方法求解了扩散方程。构造了描述扩散系统的合适的拉格朗日量和哈密顿量,并将哈密顿量转化为薛定谔方程求解。应用发展的数学方法来分析扩散,渗透,这是扩散过程的生物学应用,进行了。Schrödinger的方程解出来了。结论:概率函数图清楚地表示了耗散力和漂移力,从而表示了渗透作用,这与宏观尺度观点或经典版本的渗透作用完全一致。
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引用次数: 8
Research on the relation of EEG signal chaos characteristics with high-level intelligence activity of human brain. 脑电信号混沌特征与人脑高水平智力活动关系的研究。
Pub Date : 2010-04-27 DOI: 10.1186/1753-4631-4-2
Xingyuan Wang, Juan Meng, Guilin Tan, Lixian Zou

Using phase space reconstruct technique from one-dimensional and multi-dimensional time series and the quantitative criterion rule of system chaos, and combining the neural network; analyses, computations and sort are conducted on electroencephalogram (EEG) signals of five kinds of human consciousness activities (relaxation, mental arithmetic of multiplication, mental composition of a letter, visualizing a 3-dimensional object being revolved about an axis, and visualizing numbers being written or erased on a blackboard). Through comparative studies on the determinacy, the phase graph, the power spectra, the approximate entropy, the correlation dimension and the Lyapunov exponent of EEG signals of 5 kinds of consciousness activities, the following conclusions are shown: (1) The statistic results of the deterministic computation indicate that chaos characteristic may lie in human consciousness activities, and central tendency measure (CTM) is consistent with phase graph, so it can be used as a division way of EEG attractor. (2) The analyses of power spectra show that ideology of single subject is almost identical but the frequency channels of different consciousness activities have slight difference. (3) The approximate entropy between different subjects exist discrepancy. Under the same conditions, the larger the approximate entropy of subject is, the better the subject's innovation is. (4) The results of the correlation dimension and the Lyapunov exponent indicate that activities of human brain exist in attractors with fractional dimensions. (5) Nonlinear quantitative criterion rule, which unites the neural network, can classify different kinds of consciousness activities well. In this paper, the results of classification indicate that the consciousness activity of arithmetic has better differentiation degree than that of abstract.

利用一维和多维时间序列相空间重构技术和系统混沌定量判据规则,结合神经网络;对五种人类意识活动的脑电图信号(放松、乘法心算、字母的心理构成、想象三维物体绕轴旋转、想象数字在黑板上书写或擦除)进行分析、计算和排序。通过对5种意识活动脑电图信号的确定性、相位图、功率谱、近似熵、相关维数和李亚普诺夫指数的对比研究,得出以下结论:(1)确定性计算的统计结果表明,混沌特征可能存在于人的意识活动中,集中趋势测度(CTM)与相图一致,可以作为脑电图吸引子的划分方法。(2)功率谱分析表明,单个被试的意识形态基本一致,但不同意识活动的频率通道略有差异。(3)不同主体间的近似熵存在差异。在相同条件下,主体的近似熵越大,主体的创新能力越强。(4)相关维数和Lyapunov指数结果表明,分数维吸引子中存在人脑活动。(5)结合神经网络的非线性定量准则规则能很好地对不同类型的意识活动进行分类。分类结果表明,算术的意识活动比抽象的意识活动具有更好的分化程度。
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引用次数: 35
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Nonlinear biomedical physics
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