Short-term synaptic plasticity in the deterministic Tsodyks–Markram model leads to unpredictable network dynamics

Cortes, Jesús M.; Desroches, Mathieu; Rodrigues, Serafim; Veltz, Romain; Muñoz, Miguel A.; Sejnowski, Terrence J.

doi:10.1073/pnas.1316071110

Cited by 49 publications

(52 citation statements)

References 45 publications

(59 reference statements)

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“…A potential mechanism for perception switching with complex inputs mediated by sloshers was proposed. In [45], a mechanism leading to chaos was shown in effect in the single neuron model with shortterm synaptic plasticity. The chaotic behavior emerges through a Shil'nikov bifurcation of homoclinic orbits.…”

Section: Discussionmentioning

confidence: 99%

Rich spectrum of neural field dynamics in the presence of short-term synaptic depression

et al. 2015

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In continuous attractor neural networks (CANNs), spatially continuous information such as orientation, head direction, and spatial location is represented by Gaussian-like tuning curves that can be displaced continuously in the space of the preferred stimuli of the neurons. We investigate how short-term synaptic depression (STD) can reshape the intrinsic dynamics of the CANN model and its responses to a single static input. In particular, CANNs with STD can support various complex firing patterns and chaotic behaviors. These chaotic behaviors have the potential to encode various stimuli in the neuronal system.

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Section: Discussionmentioning

confidence: 99%

Rich spectrum of neural field dynamics in the presence of short-term synaptic depression

et al. 2015

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“…Finally, the SNARE-SM model will facilitate large-scale network simulations and consequently explain the functional role of differential exocytosis and synaptic plasticity on network states underlying memory, cognition, and pathological brain states (e.g., epilepsy) (43). At a microscale, the proposed theoretical approach could provide new insights into the function of other protein-protein interactions.…”

Section: Discussionmentioning

confidence: 99%

Time-coded neurotransmitter release at excitatory and inhibitory synapses

Rodrigues

Desroches

Krupa

et al. 2016

Proc. Natl. Acad. Sci. U.S.A.

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Communication between neurons at chemical synapses is regulated by hundreds of different proteins that control the release of neurotransmitter that is packaged in vesicles, transported to an active zone, and released when an input spike occurs. Neurotransmitter can also be released asynchronously, that is, after a delay following the spike, or spontaneously in the absence of a stimulus. The mechanisms underlying asynchronous and spontaneous neurotransmitter release remain elusive. Here, we describe a model of the exocytotic cycle of vesicles at excitatory and inhibitory synapses that accounts for all modes of vesicle release as well as short-term synaptic plasticity (STSP). For asynchronous release, the model predicts a delayed inertial protein unbinding associated with the SNARE complex assembly immediately after vesicle priming. Experiments are proposed to test the model's molecular predictions for differential exocytosis. The simplicity of the model will also facilitate large-scale simulations of neural circuits.SM complex | exocytotic-endocytotic cycle | short-term synaptic plasticity | SNARE complex | asynchronous neurotransmitter release M olecular and electrophysiological data have revealed differences in the regulation of presynaptic exocytotic machinery, giving rise to multiple forms of neurotransmitter release: synchronous release promptly after stimulation, delayed asynchronous release, and spontaneous release. Synchronous release is induced by rapid calcium influx and, subsequently, calcium-mediated membrane fusion (1). Asynchronous release occurs only under certain conditions (1, 2). Finally, spontaneous mini-releases occur in the absence of action potentials (2).Two distinct mechanisms have been proposed to explain the various modes of exocytosis. One view suggests distinct signaling pathways and possibly independent vesicle pools (3, 4). The second and more parsimonious view argues that the three modes of release share key mechanisms for exocytosis, specifically, the canonical fusion machinery that operates by means of the interaction between the SNARE attachment protein receptor proteins and Sec1/Munc18 (SM) proteins (5-10) (Fig. 1). The SNARE proteins syntaxin, 25-kDa synaptosome-associated protein (SNAP-25), and vesicleassociated membrane protein (VAMP2; also called synaptobrevin 2), localized on the plasma membrane and the synaptic vesicle, bind to form a tight protein complex, bridging the membranes to fuse.The canonical building block forms a substrate from which the three release modes differentially specialize with additional regulatory mechanisms and specific Ca 2+ sources(s) and sensor(s) that trigger the exocytosis cycle. Calcium sensors for synchronous release have been identified as synaptotagmin (e.g., Syt1, Syt2, Syt9). In contrast, the biomolecular processes generating asynchronous and spontaneous release remain unclear and controversial. However, experiments suggest multiple mechanistically distinct forms of asynchronous release operating at any given synapse, and these forms have...

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“…For a fast stimulus (small T s as indicated by the shaded area in Fig. 2B), the system may not be able to settle into a simple limit cycle with the same small period, leading to a more complex behavior similar to the observation in [13]. While, for a slow stimulus, the system will return to the quiescent fixed point before producing an OSR.…”

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confidence: 89%

Adaptive synchronization and anticipatory dynamical systems

Yang¹,

Chen²,

Lai³

et al. 2015

Phys. Rev. E

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Many biological systems can sense periodical variations in a stimulus input and produce welltimed, anticipatory responses after the input is removed. Such systems show memory effects for retaining timing information in the stimulus and cannot be understood from traditional synchronization consideration of passive oscillatory systems. To understand this anticipatory phenomena, we consider oscillators built from excitable systems with the addition of an adaptive dynamics. With such systems, well-timed post-stimulus responses similar to those from experiments can be obtained. Furthermore, a well-known model of working memory is shown to possess similar anticipatory dynamics when the adaptive mechanism is identified with synaptic facilitation. The last finding suggests that this type of oscillators can be common in neuronal systems with plasticity.PACS numbers: 05.45. Xt, 87.19.lm, 87.19.lv The interaction between a dynamical system capable of oscillatory behavior and an external periodic stimulus input represents the fundamental physics underlying many biological and engineering systems [1,2]. Under the titles of synchronization or entrainment, active studies have been devoted to various aspects of these systems, for example, the existence and degree of synchrony under different parameter conditions, the stability of the synchronous state, the influence of noise [1], and, recently, the efficiency of entrainment [3]. While these mostly involve how the systems enter or stay under the rhythmic interaction, the post-interaction behavior of the systems often plays important roles in many biological functions [4]. This potentially allows the biological systems to recognize the temporal patterns in the environment and produce anticipatory responses to help their survival. Examples of such transient responses following the end of stimulus have been observed in ganglion cells of retina under light stimulus [5], growth of slime mold influenced by varying humidity [6], and the optic tectum of zebrafish conditioned with moving periodic scenery [7]. However, the underlying physics for this time perception mechanism is still unclear and there is a ongoing debate on whether a clock is needed [8].To explain the anticipative dynamics, it has been proposed that the periods of various lengths can be built into the structure of a network with loops of various sizes [9]. External stimulations of a particular period will then activate a particular circuit in the system to provide the memory effect. This implementation of "memory" with pre-fabricated structure is similar in spirit to the phase model used to understand the anticipation of slime mold [6]. In this phase model, oscillators with various periods must be first put into the system before an external stimulation of a particular frequency can be used to entrain or synchronize the oscillators with the same frequency to provide the anticipation effect. An obvious objection to this type of models of pre-fabricated structures is that a continuous change in external periods will not...

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Short-term synaptic plasticity in the deterministic Tsodyks–Markram model leads to unpredictable network dynamics

Cited by 49 publications

References 45 publications

Rich spectrum of neural field dynamics in the presence of short-term synaptic depression

Rich spectrum of neural field dynamics in the presence of short-term synaptic depression

Time-coded neurotransmitter release at excitatory and inhibitory synapses

Adaptive synchronization and anticipatory dynamical systems

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