Abstract:
:Can one develop an abstract description of the dynamics of pattern generators that provides quantitative insight into their operation? We explored this question by examining the dynamics of a model central pattern generator that was created using an evolutionary algorithm. We propose an abstract description based on the concept of a dynamical module, a set of neurons that simultaneously make their transitions from one quasistable state to another while the synaptic inputs that they receive from other neurons remain essentially constant, thus temporarily reducing the dimensionality of the circuit dynamics. Using the mathematical tools of dynamical systems theory, we describe a method for identifying dynamical modules and demonstrate that this concept can be used to quantitatively characterize constraints on neural architecture, account for phase durations, and predict the effects of parameter changes. Moreover, this abstract description reveals coordinated parameter changes that leave the overall circuit dynamics essentially unchanged. In a companion article we employ this abstract description to examine the relationship between general principles and individual variability in large populations of evolved model pattern generators.
journal_name
J Comput Neuroscijournal_title
Journal of computational neuroscienceauthors
Chiel HJ,Beer RD,Gallagher JCdoi
10.1023/a:1008923704408subject
Has Abstractpub_date
1999-09-01 00:00:00pages
99-118issue
2eissn
0929-5313issn
1573-6873journal_volume
7pub_type
杂志文章abstract::Nonlinear dynamics provides a complementary framework to control theory for the quantitative analysis of the oculomotor control system. This paper presents a number of findings relating to the aetiology and mechanics of the pathological ocular oscillation jerk congenital nystagmus (jerk CN). A range of time series ana...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-006-7816-4
更新日期:2006-10-01 00:00:00
abstract::During neural development sensory stimulation induces long-term changes in the receptive field of the neurons that encode the stimuli. The Bienenstock-Cooper-Munro (BCM) model was introduced to model and analyze this process computationally, and it remains one of the major models of unsupervised plasticity to this day...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-019-00715-7
更新日期:2019-04-01 00:00:00
abstract::This work presents a neuroinformatic method for deriving mechanistic descriptions of fine-structured neural activity. This is a new development in the computer-assisted analysis of dynamics in conductance-based models, which is illustrated using single compartment models of an action potential. A sequence of abstract,...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-010-0267-y
更新日期:2011-04-01 00:00:00
abstract::Encoding brain regions and their connections as a network of nodes and edges captures many of the possible paths along which information can be transmitted as humans process and perform complex behaviors. Because cognitive processes involve large, distributed networks of brain areas, principled examinations of multi-n...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-017-0672-6
更新日期:2018-02-01 00:00:00
abstract::The primary goal of this study was to construct a simulation model of a biofeedback brain-computer interface (BCI) system to analyze the effect of biofeedback training on BCI users. A mathematical model of a man-machine visual-biofeedback BCI system was constructed to simulate a subject using a BCI system to control c...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-009-0148-4
更新日期:2009-12-01 00:00:00
abstract::Networks of spiking neurons can have persistently firing stable bump attractors to represent continuous spaces (like temperature). This can be done with a topology with local excitatory synapses and local surround inhibitory synapses. Activating large ranges in the attractor can lead to multiple bumps, that show repel...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-020-00758-1
更新日期:2020-08-01 00:00:00
abstract::The temporal durations between events often exert a strong influence over behavior. The details of this influence have been extensively characterized in behavioral experiments in different animal species. A remarkable feature of the data collected in these experiments is that they are often time-scale invariant. This ...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-009-0197-8
更新日期:2010-02-01 00:00:00
abstract::We use a modeling approach to examine ideas derived from physiological network analyses, pertaining to the switch of a motor control network between two opposite control modes. We studied the femur-tibia joint control system of the insect leg, and its switch between resistance reflex in posture control and "active rea...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-008-0093-7
更新日期:2008-12-01 00:00:00
abstract::Lyapunov exponents are a basic and powerful tool to characterise the long-term behaviour of dynamical systems. The computation of Lyapunov exponents for continuous time dynamical systems is straightforward whenever they are ruled by vector fields that are sufficiently smooth to admit a variational model. Hybrid neuron...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-013-0448-6
更新日期:2013-10-01 00:00:00
abstract::During slow-wave sleep, brain electrical activity is dominated by the slow (< 1 Hz) electroencephalogram (EEG) oscillations characterized by the periodic transitions between active (or Up) and silent (or Down) states in the membrane voltage of the cortical and thalamic neurons. Sleep slow oscillation is believed to pl...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-017-0663-7
更新日期:2018-02-01 00:00:00
abstract::We present a computational study aimed at exploring the sensorimotor cortex modulation of the behaviour of dorsal column nuclei, specifically the impact of synaptic parameters, during both sleep and waking conditions. On the basis of the circuit proposed by Canedo et al. (2000), we have developed realistic computation...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-006-7058-5
更新日期:2006-08-01 00:00:00
abstract::The timing of transmitter release from nerve endings is considered nowadays as one of the factors determining the plasticity and efficacy of synaptic transmission. In the neuromuscular junction, the moments of release of individual acetylcholine quanta are related to the synaptic delays of uniquantal endplate currents...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-015-0567-3
更新日期:2015-10-01 00:00:00
abstract::We explore the effects of stochastic sodium (Na) channel activation on the variability and dynamics of spiking and bursting in a model neuron. The complete model segregates Hodgin-Huxley-type currents into two compartments, and undergoes applied current-dependent bifurcations between regimes of periodic bursting, chao...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/B:JCNS.0000014104.08299.8b
更新日期:2004-03-01 00:00:00
abstract::Synaptic plasticity is believed to represent the neural correlate of mammalian learning and memory function. It has been demonstrated that changes in synaptic conductance can be induced by approximately synchronous pairings of pre- and post- synaptic action potentials delivered at low frequencies. It has also been est...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-012-0397-5
更新日期:2012-12-01 00:00:00
abstract::Models of electrical activity in excitable cells involve nonlinear interactions between many ionic currents. Changing parameters in these models can produce a variety of activity patterns with sometimes unexpected effects. Further more, introducing new currents will have different effects depending on the initial para...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-016-0600-1
更新日期:2016-06-01 00:00:00
abstract::The primary sensory feature represented within the rodent barrel cortex is the velocity with which a whisker has been deflected. Whisker deflection velocity is encoded within the thalamus via population synchrony (higher deflection velocities entail greater synchrony among the corresponding thalamic population). Thala...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-014-0535-3
更新日期:2014-12-01 00:00:00
abstract::Networks of hippocampal interneurons, with pyramidal neurons pharmacologically disconnected, can generate gamma-frequency (20 Hz and above) oscillations. Experiments and models have shown how the network frequency depends on excitation of the interneurons, and on the parameters of GABAA-mediated IPSCs between the inte...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1008839312043
更新日期:1997-04-01 00:00:00
abstract::We have developed compact analog integrated circuits that simulate two synaptic excitatory conductances. A four-transistor circuit captures the dynamics of an excitatory postsynaptic current caused by a real AMPA conductance. A six-transistor circuit simulates the effects of a real voltage-dependent NMDA conductance. ...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1008963426194
更新日期:1999-07-01 00:00:00
abstract::Information maximization has long been suggested as the underlying coding strategy of the primary visual cortex (V1). Grouping image sequences into blocks has been shown by others to improve agreement between experiments and theory. We have studied the effect of temporal convolution on the formation of spatiotemporal ...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1013723131070
更新日期:2001-11-01 00:00:00
abstract::This paper presents a synergistic parametric and non-parametric modeling study of short-term plasticity (STP) in the Schaffer collateral to hippocampal CA1 pyramidal neuron (SC) synapse. Parametric models in the form of sets of differential and algebraic equations have been proposed on the basis of the current underst...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-008-0098-2
更新日期:2009-02-01 00:00:00
abstract::Characterizing how different cortical rhythms interact and how their interaction changes with sensory stimulation is important to gather insights into how these rhythms are generated and what sensory function they may play. Concepts from information theory, such as Transfer Entropy (TE), offer principled ways to quant...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-010-0236-5
更新日期:2010-12-01 00:00:00
abstract::The effect of a non-symmetric waveform on nerve conduction block induced by high-frequency biphasic stimulation is investigated using a lumped circuit model of the unmyelinated axon based on Hodgkin-Huxley equations. The simulation results reveal that the block threshold monotonically increases with the stimulation fr...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-014-0510-z
更新日期:2014-10-01 00:00:00
abstract::We develop a new computationally efficient approach for the analysis of complex large-scale neurobiological networks. Its key element is the use of a new phenomenological model of a neuron capable of replicating important spike pattern characteristics and designed in the form of a system of difference equations (a map...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/B:JCNS.0000037683.55688.7e
更新日期:2004-09-01 00:00:00
abstract::Purkinje cells aligned on the medio-lateral axis share a large proportion of their approximately 175,000 parallel fiber inputs. This arrangement has led to the hypothesis that movement timing is coded in the cerebellum by beams of synchronously active parallel fibers. In computer simulations I show that such synchrono...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1023/a:1023217111784
更新日期:2003-05-01 00:00:00
abstract::Neuron modeling may be said to have originated with the Hodgkin and Huxley action potential model in 1952 and Rall's models of integrative activity of dendrites in 1964. Over the ensuing decades, these approaches have led to a massive development of increasingly accurate and complex data-based models of neurons and ne...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章,评审
doi:10.1007/s10827-016-0623-7
更新日期:2017-02-01 00:00:00
abstract::Several neuron types have been shown to exhibit (subthreshold) membrane potential resonance (MPR), defined as the occurrence of a peak in their voltage amplitude response to oscillatory input currents at a preferred (resonant) frequency. MPR has been investigated both experimentally and theoretically. However, whether...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-019-00710-y
更新日期:2019-04-01 00:00:00
abstract::By varying the noise intensity, we study stochastic spiking coherence (i.e., collective coherence between noise-induced neural spikings) in an inhibitory population of subthreshold neurons (which cannot fire spontaneously without noise). This stochastic spiking coherence may be well visualized in the raster plot of ne...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-011-0330-3
更新日期:2011-11-01 00:00:00
abstract::Linear additivity of synaptic input is a pervasive assumption in computational neuroscience, and previously Bernander et al. (Journal of Neurophysiology 72:2743-2753, 1994) point out that the sublinear additivity of a passive neuronal model can be linearized with voltage-dependent currents. Here we re-examine this per...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-009-0141-y
更新日期:2009-10-01 00:00:00
abstract::A number of tests exist to check for statistical significance of phase synchronisation within the Electroencephalogram (EEG); however, the majority suffer from a lack of generality and applicability. They may also fail to account for temporal dynamics in the phase synchronisation, regarding synchronisation as a consta...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-012-0428-2
更新日期:2013-06-01 00:00:00
abstract::Prominent models of spike trains assume only one source of variability - stochastic (Poisson) spiking - when stimuli and behavior are fixed. However, spike trains may also reflect variability due to internal processes such as planning. For example, we can plan a movement at one point in time and execute it at some arb...
journal_title:Journal of computational neuroscience
pub_type: 杂志文章
doi:10.1007/s10827-018-0696-6
更新日期:2018-12-01 00:00:00