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 Cybernjournal_title
Biological cyberneticsauthors
Monga B,Moehlis Jdoi
10.1007/s00422-018-0764-zsubject
Has Abstractpub_date
2019-04-01 00:00:00pages
161-178issue
1-2eissn
0340-1200issn
1432-0770pii
10.1007/s00422-018-0764-zjournal_volume
113pub_type
杂志文章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
更新日期:1995-10-01 00:00:00
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
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journal_title:Biological cybernetics
pub_type: 杂志文章
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journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00337293
更新日期:1979-08-01 00:00:00
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
更新日期:1997-09-01 00:00:00
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
更新日期:2009-06-01 00:00:00
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
更新日期:1993-01-01 00:00:00
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journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00198088
更新日期:1991-01-01 00:00:00
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
更新日期:1991-01-01 00:00:00
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
更新日期:1993-01-01 00:00:00
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
更新日期:2005-12-01 00:00:00
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journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-008-0235-z
更新日期:2008-07-01 00:00:00
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
更新日期:1994-01-01 00:00:00
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
更新日期:1996-05-01 00:00:00
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
更新日期:2000-06-01 00:00:00
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
更新日期:1997-06-01 00:00:00
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
更新日期:1995-01-01 00:00:00
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
更新日期:2003-11-01 00:00:00
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
更新日期:1996-10-01 00:00:00
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journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00204697
更新日期:1989-01-01 00:00:00
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
更新日期:2002-10-01 00:00:00
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
更新日期:1983-01-01 00:00:00
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
更新日期:1986-01-01 00:00:00
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
更新日期:2005-01-01 00:00:00
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
更新日期:2000-04-01 00:00:00
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
更新日期:1982-01-01 00:00:00
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
更新日期:1993-01-01 00:00:00
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
更新日期:1986-01-01 00:00:00
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
更新日期:1990-01-01 00:00:00
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
更新日期:2000-03-01 00:00:00