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Observations of finely-timed spike relationships in population recordings have been used to support partial reconstruction of neural microcircuit diagrams. In this approach, fine-timescale components of paired spike train interactions are…

Neurons and Cognition · Quantitative Biology 2021-02-15 Jonathan Platkiewicz , Zachary Saccomano , Sam McKenzie , Daniel English , Asohan Amarasingham

Spike generation in neurons produces a temporal point process, whose statistics is governed by intrinsic phenomena and the external incoming inputs to be coded. In particular, spike-evoked adaptation currents support a slow temporal process…

Neurons and Cognition · Quantitative Biology 2016-10-31 Eugenio Urdapilleta

Time-varying networks are fast emerging in a wide range of scientific and business disciplines. Most existing dynamic network models are limited to a single-subject and discrete-time setting. In this article, we propose a mixed-effect…

Methodology · Statistics 2018-06-12 Jingfei Zhang , Will Wei Sun , Lexin Li

Inferring the mechanisms underlying physiological and pathological processes in the brain from recorded electrical activity is challenging. Bayesian model selection and dynamic causal modelling aim to identify likely biophysical models to…

Neurons and Cognition · Quantitative Biology 2023-06-29 Matthew G. Thomas

We analyze the collective dynamics of hierarchically structured networks of densely connected spiking neurons. These networks of sub-networks may represent interactions between cell assemblies or different nuclei in the brain. The dynamical…

Neurons and Cognition · Quantitative Biology 2018-09-14 Fereshteh Lagzi , Fatihcan M. Atay , Stefan Rotter

A synaptic theory of Working Memory (WM) has been developed in the last decade as a possible alternative to the persistent spiking paradigm. In this context, we have developed a neural mass model able to reproduce exactly the dynamics of…

Neurons and Cognition · Quantitative Biology 2025-05-29 Halgurd Taher , Alessandro Torcini , Simona Olmi

Collective rhythmic dynamics from neurons is vital for cognitive functions such as memory formation but how neurons self-organize to produce such activity is not well understood. Attractor-based models have been successfully implemented as…

Neurons and Cognition · Quantitative Biology 2013-03-22 Mark Niedringhaus , Xin Chen , Katherine Conant , Rhonda Dzakpasu

Computational modeling is becoming a widely used methodology in modern neuroscience. However, as the complexity of the phenomena under study increases, the analysis of the results emerging from the simulations concomitantly becomes more…

Neurons and Cognition · Quantitative Biology 2020-03-16 Sergio E. Galindo , Pablo Toharia , Oscar D. Robles , Eduardo Ros , Luis Pastor , Jesús A. Garrido

We present a first-order non-homogeneous Markov model for the interspike-interval density of a continuously stimulated spiking neuron. The model allows the conditional interspike-interval density and the stationary interspike-interval…

Neurons and Cognition · Quantitative Biology 2012-08-15 J. Tapson , C. Jin , A. van Schaik , R. Etienne-Cummings

Neural noise sets a limit to information transmission in sensory systems. In several areas, the spiking response (to a repeated stimulus) has shown a higher degree of regularity than predicted by a Poisson process. However, a simple model…

Neurons and Cognition · Quantitative Biology 2018-01-08 Ulisse Ferrari , Stephane Deny , Olivier Marre , Thierry Mora

In this paper we consider the problem of detecting statistically significant sequential patterns in multi-neuronal spike trains. These patterns are characterized by ordered sequences of spikes from different neurons with specific delays…

Neurons and Cognition · Quantitative Biology 2008-08-28 P. S. Sastry , K. P. Unnikrishnan

Consider a compound Poisson process with jump measure $\nu$ supported by finitely many positive integers. We propose a method for estimating $\nu$ from a single, equidistantly sampled trajectory and develop associated statistical…

Statistics Theory · Mathematics 2009-09-29 Werner Ehm , Benjamin Staude , Stefan Rotter

Background: Current neuronal monitoring techniques, such as calcium imaging and multi-electrode arrays, enable recordings of spiking activity from hundreds of neurons simultaneously. Of primary importance in systems neuroscience is the…

Neurons and Cognition · Quantitative Biology 2014-11-11 Yazan N. Billeh , Michael T. Schaub , Costas A. Anastassiou , Mauricio Barahona , Christof Koch

In neuroscience, learning and memory are usually associated to long-term changes of neuronal connectivity. In this context, synaptic plasticity refers to the set of mechanisms driving the dynamics of neuronal connections, called {\em…

Probability · Mathematics 2021-06-10 Philippe Robert , Gaetan Vignoud

Self-sustained activity in the brain is observed in the absence of external stimuli and contributes to signal propagation, neural coding, and dynamic stability. It also plays an important role in cognitive processes. In this work, by means…

Computational models of cortical activity provide insight into the mechanisms of higher-order processing in the human brain including planning, perception and the control of movement. Activity in the cortex is ongoing even in the absence of…

Neurons and Cognition · Quantitative Biology 2023-07-07 Lysea Haggie , Thor Besier , Angus McMorland

Approaches to predicting neuronal spike responses commonly use a Poisson learning objective. This objective quantizes responses into spike counts within a fixed summation interval, typically on the order of 10 to 100 milliseconds in…

Neurons and Cognition · Quantitative Biology 2024-07-03 Kevin Doran , Marvin Seifert , Carola A. M. Yovanovich , Tom Baden

Neurons communicate with downstream systems via sparse and incredibly brief electrical pulses, or spikes. Using these events, they control various targets such as neuromuscular units, neurosecretory systems, and other neurons in connected…

Neurons and Cognition · Quantitative Biology 2026-03-17 Paolo Agliati , André Urbano , Pablo Lanillos , Nasir Ahmad , Marcel van Gerven , Sander Keemink

We derive a synaptic weight update rule for learning temporally precise spike train to spike train transformations in multilayer feedforward networks of spiking neurons. The framework, aimed at seamlessly generalizing error backpropagation…

Neural and Evolutionary Computing · Computer Science 2016-01-11 Arunava Banerjee

We designed a model-based analysis to predict the occurrence of population patterns in distributed spiking activity. Using a maximum entropy principle with a Markovian assumption, we obtain a model that accounts for both spatial and…

Neurons and Cognition · Quantitative Biology 2009-11-13 Olivier Marre , Sami El Boustani , Yves Fregnac , Alain Destexhe