Optimal phase control of biological oscillators using augmented phase reduction.

Abstract:

:We develop a novel optimal control algorithm to change the phase of an oscillator using a minimum energy input, which also minimizes the oscillator's transversal distance to the uncontrolled periodic orbit. Our algorithm uses a two-dimensional reduction technique based on both isochrons and isostables. We develop a novel method to eliminate cardiac alternans by connecting our control algorithm with the underlying physiological problem. We also describe how the devised algorithm can be used for spike timing control which can potentially help with motor symptoms of essential and parkinsonian tremor, and aid in treating jet lag. To demonstrate the advantages of this algorithm, we compare it with a previously proposed optimal control algorithm based on standard phase reduction for the Hopf bifurcation normal form, and models for cardiac pacemaker cells, thalamic neurons, and circadian gene regulation cycle in the suprachiasmatic nucleus. We show that our control algorithm is effective even when a large phase change is required or when the nontrivial Floquet multiplier is close to unity; in such cases, the previously proposed control algorithm fails.

journal_name

Biol Cybern

journal_title

Biological cybernetics

authors

Monga B,Moehlis J

doi

10.1007/s00422-018-0764-z

subject

Has Abstract

pub_date

2019-04-01 00:00:00

pages

161-178

issue

1-2

eissn

0340-1200

issn

1432-0770

pii

10.1007/s00422-018-0764-z

journal_volume

113

pub_type

杂志文章
  • On the comparison of Feller and Ornstein-Uhlenbeck models for neural activity.

    abstract::Diffusion processes have been extensively used to describe membrane potential behavior. In this approach the interspike interval has a theoretical counterpart in the first-passage-time of the diffusion model employed. Since the mathematical complexity of the first-passage-time problem increases with attempts to make t...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00201480

    authors: Lánský P,Sacerdote L,Tomassetti F

    更新日期:1995-10-01 00:00:00

  • A theoretical model of phase transitions in human hand movements.

    abstract::Earlier experimental studies by one of us (Kelso, 1981a, 1984) have shown that abrupt phase transitions occur in human hand movements under the influence of scalar changes in cycling frequency. Beyond a critical frequency the originally prepared out-of-phase, antisymmetric mode is replaced by a symmetrical, in-phase m...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00336922

    authors: Haken H,Kelso JA,Bunz H

    更新日期:1985-01-01 00:00:00

  • Wavelet entropy in event-related potentials: a new method shows ordering of EEG oscillations.

    abstract::In this work we show the application of a measure of entropy defined from the wavelet transform, namely the wavelet entropy (WS), to the study of event-related potentials (ERPs). WS was computed for ERPs recorded from nine healthy subjects with three different types of stimuli, among them target stimuli in a cognitive...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220000212

    authors: Quiroga RQ,Rosso OA,Başar E,Schürmann M

    更新日期:2001-04-01 00:00:00

  • The structure of two-dimensional scalar fields with applications to vision.

    abstract::Two-dimensional scalar fields (e. g. pictures) are often described by way of a linear superposition of simple base functions. It is argued that such decompositions are often unnatural in the sense that the decomposition takes no regard of the structure of the field and it may happen that the parts are more complicated...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00337293

    authors: Koenderink JJ,van Doorn AJ

    更新日期:1979-08-01 00:00:00

  • The role of retinal bipolar cell in early vision: an implication with analogue networks and regularization theory.

    abstract::A linear analogue network model is proposed to describe the neuronal circuit of the outer retina consisting of cones, horizontal cells, and bipolar cells. The model reflects previous physiological findings on the spatial response properties of these neurons to dim illumination and is expressed by physiological mechani...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050377

    authors: Yagi T,Ohshima S,Funahashi Y

    更新日期:1997-09-01 00:00:00

  • Stochasticity, spikes and decoding: sufficiency and utility of order statistics.

    abstract::For over 75 years it has been clear that the number of spikes in a neural response is an important part of the neuronal code. Starting as early as the 1950's with MacKay and McCullough, there has been speculation over whether each spike and its exact time of occurrence carry information. Although it is obvious that th...

    journal_title:Biological cybernetics

    pub_type: 杂志文章,评审

    doi:10.1007/s00422-009-0321-x

    authors: Richmond BJ

    更新日期:2009-06-01 00:00:00

  • Dynamics of the olfactory bulb: bifurcations, learning, and memory.

    abstract::A mathematical model for describing dynamic phenomena in the olfactory bulb is presented. The nature of attractors and the bifurcation sequences in terms of the lateral connection strength in the mitral layer are studied numerically. Chaotic activity has only been found in the case of strong excitatory coupling. Synap...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00201408

    authors: Erdi P,Gröbler T,Barna G,Kaski K

    更新日期:1993-01-01 00:00:00

  • Minimum mean square error estimation of connectivity in biological neural networks.

    abstract::A minimum mean square error (MMSE) estimation scheme is employed to identify the synaptic connectivity in neural networks. This new approach can substantially reduce the amount of data and the computational cost involved in the conventional correlation methods, and is suitable for both nonstationary and stationary neu...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00198088

    authors: Yang X,Shamma SA

    更新日期:1991-01-01 00:00:00

  • Topological maps of protein sequences.

    abstract::A new method based on neural networks to cluster proteins into families is described. The network is trained with the Kohonen unsupervised learning algorithm, using matrix pattern representations of the protein sequences as inputs. The components (x, y) of these 20 x 20 matrix patterns are the normalized frequencies o...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00204658

    authors: Ferrán EA,Ferrara P

    更新日期:1991-01-01 00:00:00

  • The contribution of muscle properties in the control of explosive movements.

    abstract::Explosive movements such as throwing, kicking, and jumping are characterized by high velocity and short movement time. Due to the fact that latencies of neural feedback loops are long in comparison to movement times, correction of deviations cannot be achieved on the basis of neural feedback. In other words, the contr...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00198959

    authors: van Soest AJ,Bobbert MF

    更新日期:1993-01-01 00:00:00

  • Schema-based learning of adaptable and flexible prey- catching in anurans II. Learning after lesioning.

    abstract::The previous companion paper describes the initial (seed) schema architecture that gives rise to the observed prey-catching behavior. In this second paper in the series we describe the fundamental adaptive processes required during learning after lesioning. Following bilateral transections of the hypoglossal nerve, an...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s00422-005-0014-z

    authors: Corbacho F,Nishikawa KC,Weerasuriya A,Liaw JS,Arbib MA

    更新日期:2005-12-01 00:00:00

  • Performance limitations from delay in human and mechanical motor control.

    abstract::We discuss natural limitations on motor performance caused by the time delay required for feedback signals to propagate within the human body or mechanical control systems. By considering a very simple delayed linear servomechanism model, we show there exists a best possible speed-accuracy trade-off similar to Fitts' ...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s00422-008-0235-z

    authors: Beamish D,Bhatti S,Wu J,Jing Z

    更新日期:2008-07-01 00:00:00

  • Topography of alpha and theta oscillatory responses upon auditory and visual stimuli in humans.

    abstract::Brain resonance phenomena and induced rhythms in the brain recently gained importance in electroencephalographic, magnetoencephalographic and cellular studies (Başar and Bullock 1992). It was hypothesized that evoked potentials are superpositions of induced rhythms caused by resonance phenomena in neural populations (...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00205980

    authors: Schürmann M,Başar E

    更新日期:1994-01-01 00:00:00

  • Recognition and tracking of impulse patterns with delay adaptation in biology-inspired pulse processing neural net (BPN) hardware.

    abstract::The application of an electronic real time emulator for biology-inspired pulse processing neural networks (BPN) to recognition and temporal tracking of discrete impulse patterns via delay adaptation is demonstrated. The electronic emulation includes biologically plausible features, such as asynchronous impulses, membr...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00206711

    authors: Napp-Zinn H,Jansen M,Eckmiller R

    更新日期:1996-05-01 00:00:00

  • Conditions for noise reduction and stable encoding of spatial structure by cortical neural networks.

    abstract::Cortical circuits have been proposed to encode information by forming stable spatially structured attractors. Experimentally in the primary somatosensory cortex of the monkey, temporally invariant stimuli lead to spatially structured activity patterns. The purpose of this work is to study a recurrent cortical neural n...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050599

    authors: Gutkin BS,Smith CE

    更新日期:2000-06-01 00:00:00

  • Modeling inhibition of type II units in the dorsal cochlear nucleus.

    abstract::Type II units in the dorsal cochlear nucleus (DCN) are characterized by vigorous but nonmonotonic responses to best frequency tones as a function of sound pressure level, and relatively weak responses to noise. A model of DCN neural circuitry was used to explore two hypothetical mechanisms by which neurons may be endo...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050355

    authors: Hancock KE,Davis KA,Voigt HF

    更新日期:1997-06-01 00:00:00

  • Human hand impedance characteristics during maintained posture.

    abstract::The present paper examines human hand impedance characteristics, including inertia and viscosity as well as stiffness, in multi-joint arm movements. While a subject maintains a given hand location, small external disturbances are applied to his hand by a manipulandum. The corresponding force-displacement vectors are m...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00199890

    authors: Tsuji T,Morasso PG,Goto K,Ito K

    更新日期:1995-01-01 00:00:00

  • Primary auditory cortex of cats: feature detection or something else?

    abstract::Neurons in sensory cortices are often assumed to be "feature detectors", computing simple and then successively more complex features out of the incoming sensory stream. These features are somehow integrated into percepts. Despite many years of research, a convincing candidate for such a feature in primary auditory co...

    journal_title:Biological cybernetics

    pub_type: 杂志文章,评审

    doi:10.1007/s00422-003-0445-3

    authors: Nelken I,Fishbach A,Las L,Ulanovsky N,Farkas D

    更新日期:2003-11-01 00:00:00

  • A dynamical model for reflex activated head movements in the horizontal plane.

    abstract::We present a controls systems model of horizontal-plane head movements during perturbations of the trunk, which for the first time interfaces a model of the human head with neural feedback controllers representing the vestibulocollic (VCR) and the cervicocollic (CCR) reflexes. This model is homeomorphic such that mode...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050297

    authors: Peng GC,Hain TC,Peterson BW

    更新日期:1996-10-01 00:00:00

  • Amplification and latency in photoreceptors: integrated or separated phenomena?

    abstract::It is shown that the models for the transduction process in photoreceptors which treat latency and amplification as integrated phenomena ("integrated models") yield time scales for single photon signals ("quantum bumps") which distinctly conflict with the experimentally observed ones for the ventral nerve photorecepto...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00204697

    authors: Schnakenberg J

    更新日期:1989-01-01 00:00:00

  • Information-theoretic analysis of de-efferented single muscle spindles.

    abstract::The information transmission properties of single, de-efferented primary muscle-spindle afferents from the hind limb of the cat were investigated. The gastrocnemius medialis muscle was stretched randomly while recording spike trains from several muscle-spindle afferents in the dorsal root. Two classes of input stimuli...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s00422-002-0341-2

    authors: Tock Y,Ljubisavljevic M,Thunberg J,Windhorst U,Inbar GF,Johansson H

    更新日期:2002-10-01 00:00:00

  • Physiological evidence for central modulation of voice tremor.

    abstract::The present report presents an attempt to define the physiological parameter used to describe "voice tremor" in psychological stress evaluating machines, and to find its sources. This parameter was found to be a low frequency (5-20 Hz) random process which frequency modulates the vocal cord waveform and (independently...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00340063

    authors: Inbar GF,Eden G

    更新日期:1983-01-01 00:00:00

  • Self-stabilization of neuronal networks. I. The compensation algorithm for synaptogenesis.

    abstract::Between the extreme views concerning ontogenesis (genetic vs. environmental determination), we use a moderate approach: a somehow pre-established neuronal model network reacts to activity deviations (reflecting input to be compensated), and stabilizes itself during a complex feed-back process. Morphogenesis is based o...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00318417

    authors: Dammasch IE,Wagner GP,Wolff JR

    更新日期:1986-01-01 00:00:00

  • A computational model of monkey cortical grating cells.

    abstract::Grating cells were discovered in the V1 and V2 areas of the monkey visual cortex by von der Heydt et al. (1992). These cells responded vigorously to grating patterns of appropriate orientation and periodicity. Computational models inspired by these findings were used as texture operator (Kruzinga and Petkov 1995, 1999...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s00422-004-0522-2

    authors: Lourens T,Barakova E,Okuno HG,Tsujino H

    更新日期:2005-01-01 00:00:00

  • An interspike interval method for computing phase locking from neural firing.

    abstract::Inner hair cells (IHCs) transform the mechanical movements of the basilar membrane into electrical impulses. The impulse coding of the IHCs is the main information carrier in the auditory process and is the basis for improvements of cochlea implants as well as for low rate, high-quality speech processing and compressi...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050582

    authors: Meyer-Bäse U,Meyer-Bäse A,Scheich H

    更新日期:2000-04-01 00:00:00

  • [Systems theory analysis of the chemical regulation of respiration with regard to its multidimensional character].

    abstract::The chemical control of respiration provides for the maintenance of energy and substance equilibrium primarily and for the homoeostatic stability of the chemical blood parameters secondarily. Based on results having been obtained from an appropriate state space model some findings on respiration can be reproduced. In ...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00335348

    authors: Balla K

    更新日期:1982-01-01 00:00:00

  • The relationship between absolute disparity and ocular vergence.

    abstract::The relationship between disparity and ocular vergence was investigated under closed-loop as well as under open-loop viewing conditions. First we examined whether vergence responded similarly to disparity presented under open-loop and closed-loop conditions. Similar response were observed in both conditions. The direc...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00224855

    authors: Pobuda M,Erkelens CJ

    更新日期:1993-01-01 00:00:00

  • A neural network model for selective attention in visual pattern recognition.

    abstract::A neural network model of the mechanism of selective attention in visual pattern recognition is proposed and simulated on a digital computer. When a complex figure consisting of two patterns or more is presented to the model, it is segmented into individual patterns, and each pattern is recognized separately. Even if ...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00363973

    authors: Fukushima K

    更新日期:1986-01-01 00:00:00

  • Neural network implementation of a three-phase model of respiratory rhythm generation.

    abstract::A mathematical model of the central neural mechanisms of respiratory rhythm generation is developed. This model assumes that the respiratory cycle consists of three phases: inspiration, post-inspiration, and expiration. Five respiratory neuronal groups are included: inspiratory, late-inspiratory, post-inspiratory, exp...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/BF00203037

    authors: Botros SM,Bruce EN

    更新日期:1990-01-01 00:00:00

  • Mode dynamics of interacting neural populations by bi-orthogonal spectral decomposition.

    abstract::A system of coupled bistable Hopf oscillators with an external periodic input source was used to model the ability of interacting neural populations to synchronize and desynchronize in response to variations of the input signal. We propose that, in biological systems, the settings of internal and external coupling str...

    journal_title:Biological cybernetics

    pub_type: 杂志文章

    doi:10.1007/s004220050023

    authors: Schwarz J,Sieck A,Dangelmayr G,Stevens A

    更新日期:2000-03-01 00:00:00