Vibrational resonance in a heterogeneous scale free network of neurons

Uzuntarla, Muhammet; Yılmaz, Ergin; Wagemakers, Alexandre; Özer, Mahmut

doi:10.1016/j.cnsns.2014.08.040

Cited by 52 publications

(29 citation statements)

References 23 publications

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“…Kapitza’s analysis 1 , 2 of a vibrating pendulum arrived more than 40 years after the counter-intuitive phenomenon of inverted stability had been reported 3 . His celebrated analytical insight has found application in many fields across diverse length scales: from macroscopic applications 4 – 6 , where fast vibrations play an important role in the vibrational transport or manipulation of granular media, to microscopic and nanoscopic applications 7 – 20 , in areas such as Brownian motors 9 , 13 , 21 , atomic physics 8 , 10 – 13 , optical systems 14 , 15 or biophysics 17 – 20 .…”

Section: Introductionmentioning

confidence: 99%

A microscopic Kapitza pendulum

Richards

Smart

Jones

et al. 2018

Sci Rep

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Pyotr Kapitza studied in 1951 the unusual equilibrium features of a rigid pendulum when its point of suspension is under a high-frequency vertical vibration. A sufficiently fast vibration makes the top position stable, putting the pendulum in an inverted orientation that seemingly defies gravity. Kapitza’s analytical method, based on an asymptotic separation of fast and slow variables yielding a renormalized potential, has found application in many diverse areas. Here we study Kapitza’s pendulum going beyond its typical idealizations, by explicitly considering its finite stiffness and the dissipative interaction with the surrounding medium, and using similar theoretical methods as Kapitza. The pendulum is realized at the micrometre scale using a colloidal particle suspended in water and trapped by optical tweezers. Though the strong dissipation present at this scale prevents the inverted pendulum regime, new ones appear in which the equilibrium positions are displaced to the side, and with transitions between them determined either by the driving frequency or the friction coefficient. These new regimes could be exploited in applications aimed at particle separation at small scales.

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Section: Introductionmentioning

confidence: 99%

A microscopic Kapitza pendulum

Richards

Smart

Jones

et al. 2018

Sci Rep

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“…Rhythmic brain activity is a key mechanism in information transmission within and between brain circuits, and plays an important role in neural processing and behavior (Engel et al, 2001 ; Thut et al, 2012 ). This activity can be modulated by external brain stimulation approaches, which could provide a paradigm to manipulate the intrinsic oscillatory properties of driven networks in a controlled manner via an input-driven mechanism (Ozer et al, 2009 ; Uzuntarla et al, 2012 , 2015 ; Herrmann et al, 2016 ; Guo et al, 2017 ; Grossman et al, 2017 ). To date, several typical noninvasive stimulation methods, i.e., deep brain stimulation (DBS), transcranial magnetic stimulation (TMS), transcranial alternating current stimulation (tACS), and periodic visual stimulation, have been shown to shape brain activity; these methods have received increasing interest in recent studies and are utilized increasingly in basic and clinical research (Alagapan et al, 2016 ; Ruhnau et al, 2016 ; Kelley et al, 2018 ).…”

Section: Introductionmentioning

confidence: 99%

Periodic Visual Stimulation Induces Resting-State Brain Network Reconfiguration

Guo

Zhang

et al. 2018

Front. Comput. Neurosci.

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Periodic visual stimulation can evoke the steady-state visual potential (SSVEP) in the brain. Owing to its superior characteristics, the SSVEP has been widely used in neural engineering and cognitive neuroscience studies. However, the underlying mechanisms of the SSVEP are not well understood. In this study, we introduced a brain reconfiguration methodology to explore the possible mechanisms of the SSVEP. The EEG data from five periodic stimuli consistently indicated that the periodic visual stimulation could induce resting-state brain network reconfiguration and that the responses evoked by the stimuli were correlated to the network reconfiguration indexes. For each stimulus frequency, larger response amplitudes corresponded to higher reconfiguration indexes from the resting-state network to a stimulus-evoked network. These findings demonstrate that an external periodic visual stimulation can induce the modification of intrinsic oscillatory activities by reconfiguring resting-state activity at a network level, which could facilitate the responses evoked by the stimulus. These findings provide new insights into the response mechanisms of periodic visual stimulation.

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“…Uzuntarla ve arkadaşları [17], FitzHugh-Nagumo (FHN) nöronlarının uyarılma düzey farklılıklarının ölçeksiz (scale-free, SF) agın zayıf sinyal sezinleme kabiliyeti üzerindeki etkilerini incelemişlerdir. Yaptıkları çalışmada uyarılma düzey farklılıklarına bakılmaksızın VR etkisinin ortaya çıktıgını belirlemişlerdir.…”

Section: Introductionunclassified

“…E K = −77mV , E N a = 50mV and E l = −54.4mV parametreleri sırasıyla dinlenim durumundaki sodyum, potasyum ve kaçak iyonlarına ait potansiyel degerlerini göstermektedir. Eşitlik (1) de I ext dışardan nörona uygulanan biri alçak biri yüksek frekansa sahip olan iki bileşenden oluşan uyartımı temsil etmekte olup ifadesi aşagıdaki gibidir [17]:…”

Section: Introductionunclassified

Vibrational resonance in a Hodgkin-Huxley neuron

Yılmaz

Baysal

Özer

2015

2015 23nd Signal Processing and Communications Applications Conference (SIU)

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Özetçe -Bu çalışmada, yüksek frekanslı sinyalin Hodgkin-Huxley nöronunun zayıf sinyal sezinleme kapasitesine etkileri ele alınmıştır. Elde edilen sonuçlardan, Hodgkin-Huxley nöronunun zayıf sinyal sezinleme kapasitesinin yüksek frekanslı sinyalin genligine baglı olarak titreşimsel rezonans gösterdigi görülmüştür. En iyi sezinlemenin yüksek-frekanslı sinyalin en uygun bir genlik degerinde gerçekleştigi tespit edilmiştir. Bunun yansıra yüksek-frekanslı sinyalin frekansının ortaya çıkan bu rezonans üzerindeki etkileri de incelenmiştir. Yüksek-frekanslı sinyalin farklı frekans degerlerinde de titreşimsel rezonasın görüldügü ancak yüksek frekanslı sinyalin büyük frekans degerleri için daha büyük genlik degerlerine ihtiyaç oldugu belirlenmiştir.Anahtar Kelimeler-titreşimsel rezonans; zayıf sinyal sezinleme; Hodgkin-Huxley nöronu.Abstract-In this paper, the effects of high-frequency driving on the weak signal detection capacity of Hodgkin-Huxley neuron are investigated. It is seen that the response of Hodgkin-Huxley neuron shows vibrational resonance with respect to the amplitude of high-frequency driving, and the best detection is obtained at an optimal amplitude of high-frequency driving. Besides, the effects of the frequency of high-frequency driving on the vibrational resonance are investigated. We arrived at the result that resonant response of the neuron can also be obtained for different frequencies of high-frequency signal but larger amplitudes are required for greater frequency of high frequency signal.

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Vibrational resonance in a heterogeneous scale free network of neurons

Cited by 52 publications

References 23 publications

A microscopic Kapitza pendulum

A microscopic Kapitza pendulum

Periodic Visual Stimulation Induces Resting-State Brain Network Reconfiguration

Vibrational resonance in a Hodgkin-Huxley neuron

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