Abstract:
:In primates, it is well known that there is a consistent relationship between the duration, peak velocity and amplitude of saccadic eye movements, known as the 'main sequence'. The reason why such a stereotyped relationship evolved is unknown. We propose that a fundamental constraint on the deployment of foveal vision lies in the motor system that is perturbed by signal-dependent noise (proportional noise) on the motor command. This noise imposes a compromise between the speed and accuracy of an eye movement. We propose that saccade trajectories have evolved to optimize a trade-off between the accuracy and duration of the movement. Taking a semi-analytical approach we use Pontryagin's minimum principle to show that there is an optimal trajectory for a given amplitude and duration; and that there is an optimal duration for a given amplitude. It follows that the peak velocity is also fixed for a given amplitude. These predictions are in good agreement with observed saccade trajectories and the main sequence. Moreover, this model predicts a small saccadic dead-zone in which it is better to stay eccentric of target than make a saccade onto target. We conclude that the main sequence has evolved as a strategy to optimize the trade-off between accuracy and speed.
journal_name
Biol Cybernjournal_title
Biological cyberneticsauthors
Harris CM,Wolpert DMdoi
10.1007/s00422-006-0064-xkeywords:
subject
Has Abstractpub_date
2006-07-01 00:00:00pages
21-9issue
1eissn
0340-1200issn
1432-0770journal_volume
95pub_type
杂志文章abstract::Within a linear field approach, an architectural model for simple cell direction selectivity in the visual cortex is proposed. The origin of direction selectivity is related to recurrent intracortical interactions with a spatially asymmetric character along the axis of stimulus motion. No explicit asymmetric temporal ...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s004220050515
更新日期:1999-03-01 00:00:00
abstract::Some interesting properties on pattern separation have been shown through researches by neural models of cerebellar cortex. It seems to us that those results are a part of the properties of pattern separation. A two layer random nerve net with inhibitory connections is given as a model of the cerebellar cortex. The mo...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00336858
更新日期:1979-09-01 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::The local extraction of motion information from brightness patterns by individual movement detectors of the correlation-type is considered in the first part of the paper. A two-dimensional field theory of movement detection is developed by treating the distance between two adjacent photoreceptors as a differential. In...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00205969
更新日期:1988-01-01 00:00:00
abstract::Neurons transmit information as action potentials or spikes. Due to the inherent randomness of the inter-spike intervals (ISIs), probabilistic models are often used for their description. Cumulative damage (CD) distributions are a family of probabilistic models that has been widely considered for describing time-relat...
journal_title:Biological cybernetics
pub_type: 杂志文章,评审
doi:10.1007/s00422-015-0651-9
更新日期:2015-10-01 00:00:00
abstract::We propose an approach for desynchronization in an ensemble of globally coupled neural oscillators. The impact of washout filter aided mean field feedback on population synchronization process is investigated. By blocking the Hopf bifurcation of the mean field, the controller desynchronizes the ensemble. The technique...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-009-0334-5
更新日期:2009-09-01 00:00:00
abstract::The Craik-O'Brien illusion was measured for patterns of negative and positive contrast by a compensation method. The illusion of negative contrast (black teeth on uniform field) was stronger than that of positive one (white teeth). The amount of compensation increased linearly with increasing tooth width, but was nonl...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00364002
更新日期:1985-01-01 00:00:00
abstract::We employ an optimal solution to both the "shape from motion problem" and the related problem of the estimation of self-movement on a purely optical basis to deduce practical rules of thumb for the limits of the optic flow information content in the presence of perturbation of the motion parallax field. The results ar...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00365219
更新日期:1987-01-01 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::Cognitive theory has decomposed human mental abilities into cognitive (sub) systems, and cognitive neuroscience succeeded in disclosing a host of relationships between cognitive systems and specific structures of the human brain. However, an explanation of why specific functions are located in specific brain loci had ...
journal_title:Biological cybernetics
pub_type: 杂志文章,评审
doi:10.1007/s00422-014-0603-9
更新日期:2014-10-01 00:00:00
abstract::The proposal that rod outer segment length is optimal with respect to photon absorption and noise control is extended and tested in a number of species. We find good agreement with our optimality criterion in duplex retinae where rods act as detectors of one or a few photons, but not in all rod retinae nor in those wh...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00203666
更新日期:1992-01-01 00:00:00
abstract::Small inhibitory neuronal circuits have long been identified as key neuronal motifs to generate and modulate the coexisting rhythms of various motor functions. Our paper highlights the role of a cellular switching mechanism to orchestrate such circuits. The cellular switch makes the circuits reconfigurable, robust, ad...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-018-0778-6
更新日期:2019-04-01 00:00:00
abstract::On the basis of paleological evidence, it has been suggested that biological evolution need not necessarily be characterized by gradual change. Rather, evolutionary history may display saltatory periods of rapid speciation alternating with periods of relative quiescence, the whole dynamic being called punctuated equil...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00203005
更新日期:1989-01-01 00:00:00
abstract::A fundamental problem in neuroscience, to which Prof. Segundo has made seminal contributions, is to understand how action potentials represent events in the external world. The aim of this paper is to review the issue of neural coding in the context of the rodent whiskers, an increasingly popular model system. Key iss...
journal_title:Biological cybernetics
pub_type: 杂志文章,评审
doi:10.1007/s00422-008-0290-5
更新日期:2009-06-01 00:00:00
abstract::This paper introduces a theoretical frame-work for characterizing and classifying simple parallel algorithms and systems with many inputs, for example an array of photoreceptors. The polynomial representation (Taylor series development) of a large class of operators is introduced and its range of validity discussed. T...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00355455
更新日期:1980-01-01 00:00:00
abstract::Among the various possible criteria guiding eye movement selection, we investigate the role of position uncertainty in the peripheral visual field. In particular, we suggest that, in everyday life situations of object tracking, eye movement selection probably includes a principle of reduction of uncertainty. To evalua...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-009-0292-y
更新日期:2009-03-01 00:00:00
abstract::The multi-channel system of the segmental muscle stretch reflex arc is modelled as an arrangement of two or three parallel "component" loops coupled to each other at spinal and at muscle level. Such a model is thought to be more realistic than the usually adopted representation of the stretch reflex as a single negati...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00337401
更新日期:1980-01-01 00:00:00
abstract::To investigate the dynamic effects of external forces on the displacement of the otolith membrane and subsequent neuronal responses of otoliths, we performed numerical analyses of otolith membrane displacements. In these studies we included the full geometry of the human otolith maculae, including their 3D curvature. ...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-003-0456-0
更新日期:2004-03-01 00:00:00
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::In a seminal paper, Witkin (1981) derived a model of surface slant and tilt recovery based on the statistics of the orientations of texture elements (texels) on a planar surface. This model made use of basic mathematical properties of probability distributions to formulate a posterior distribution on slant and tilt gi...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-010-0389-3
更新日期:2010-09-01 00:00:00
abstract::The light-growth response of the Phycomyces sporangiophore is a transient change of elongation rate in response to changes in ambient blue-light intensity. The white-noise method of nonlinear system identification (Wiener-Lee-Schetzen theory) has been applied to this response, and the results have been interpreted by ...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00341924
更新日期:1986-01-01 00:00:00
abstract::The conductance-based refractory density (CBRD) approach is an efficient tool for modeling interacting neuronal populations. The model describes the firing activity of a statistical ensemble of uncoupled Hodgkin-Huxley-like neurons, each receiving individual Gaussian noise and a common time-varying deterministic input...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-017-0727-9
更新日期:2017-12-01 00:00:00
abstract::The membrane excitability changes as well as the underlying mechanisms of these changes in a normal and in a systematically paranodally demyelinated nerve fibre have been investigated by paired stimulation during the first 30 ms of the recovery cycle. The ionic current kinetics determining the observed changes in the ...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00217663
更新日期:1989-01-01 00:00:00
abstract::It is shown how field potentials due to neuronal membrane processes can be computed by means of a digital computer system. The essence of the method consists in evaluating a discrete expression for the field potential as a function of membrane potentials. This expression is considered as a three-dimensional convolutio...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00347640
更新日期:1980-01-01 00:00:00
abstract::Synaptic plasticity is considered to be the biological substrate of learning and memory. In this document we review phenomenological models of short-term and long-term synaptic plasticity, in particular spike-timing dependent plasticity (STDP). The aim of the document is to provide a framework for classifying and eval...
journal_title:Biological cybernetics
pub_type: 杂志文章,评审
doi:10.1007/s00422-008-0233-1
更新日期:2008-06-01 00:00:00
abstract::Simulations of neural activity are commonly based on differential equations. We address the question what can be achieved with a simplified discrete model. The proposed model resembles artificial neural networks enriched with additional biologically inspired features. A neuron has several states, and the state transit...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-020-00826-w
更新日期:2020-06-01 00:00:00
abstract::This paper studies the performance of single-layered neural networks. This study begins with the performance of single-layered neural networks trained using the outer-product rule. The outer-product rule is a suboptimal learning scheme, resulting under certain assumptions from optimal least-squares training of single-...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00203135
更新日期:1992-01-01 00:00:00
abstract::Response patterns recorded with 30 microelectrodes from area 17 of anaesthetized monkeys are analysed. A proportion of the patterns are used to define prototype response patterns. These in turn are used to recognize the stimulus from further non-averaged response patterns. In comparison, recognition by a feedforward '...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/BF00194921
更新日期:1996-04-01 00:00:00
abstract::In neuronal networks, the changes of synaptic strength (or weight) performed by spike-timing-dependent plasticity (STDP) are hypothesized to give rise to functional network structure. This article investigates how this phenomenon occurs for the excitatory recurrent connections of a network with fixed input weights tha...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-009-0346-1
更新日期:2009-12-01 00:00:00
abstract::Isolated and cultured neonatal cardiac myocytes contract spontaneously and cyclically, and have the properties of a non-linear oscillator. In this study, we have analyzed the relationship between the fluctuation of contraction rhythm of spontaneously beating cultured cardiac myocytes, and the coupling strength among t...
journal_title:Biological cybernetics
pub_type: 杂志文章
doi:10.1007/s00422-001-0285-y
更新日期:2002-02-01 00:00:00