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The organization of the connectivity between mammalian cortical areas has become a major subject of study, because of its important role in scaffolding the macroscopic aspects of animal behavior and intelligence. In this study we present a…

Neurons and Cognition · Quantitative Biology 2007-05-23 Luciano da F Costa , Marcus Kaiser , Claus C Hilgetag

We consider a finite system of interacting point processes with memory of variable length modeling a finite but large network of spiking neurons with two different leakage mechanisms. Associated to each neuron there are two point processes,…

Probability · Mathematics 2022-12-21 Kádmo de S. Laxa

Information processing in the brain crucially depends on encoding properties of single neurons, with particular relevance of the spike-generation mechanism. The latter hinges upon the bifurcation type at the transition point between resting…

Neurons and Cognition · Quantitative Biology 2017-05-10 Janina Hesse , Jan-Hendrik Schleimer , Susanne Schreiber

Spike sorting refers to the problem of assigning action potentials observed in extra-cellular recordings of neural activity to the neuron(s) from which they originate. We cast this problem as one of learning a convolutional dictionary from…

Methodology · Statistics 2018-06-07 Andrew H. Song , Francisco Flores , Demba Ba

In this paper we develop a probabilistic micro-scale compartmental model and use it to study macro-scale properties of axonal transport, the process by which intracellular cargo is moved in the axons of neurons. By directly modeling the…

Biological Physics · Physics 2011-05-24 Lea Popovic , Scott A. McKinley , Michael C. Reed

Scalar variables, e.g., the orientation of a shape in an image, are commonly predicted using a single output neuron in a neural network. In contrast, the mammalian cortex represents variables with a population of neurons. In this population…

Machine Learning · Computer Science 2024-11-14 Heiko Hoffmann

We develop a coarse-grained stochastic theory for axonal growth on micropatterned substrates using the Shannon--Jaynes maximum entropy principle. Starting from a Langevin description of growth cone motion, we infer the effective…

Biological Physics · Physics 2026-04-29 Julian Sutaria , Cristian Staii

We introduce a new coordination problem in distributed computing that we call the population stability problem. A system of agents each with limited memory and communication, as well as the ability to replicate and self-destruct, is…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-03-09 Shafi Goldwasser , Rafail Ostrovsky , Alessandra Scafuro , Adam Sealfon

A good understanding of how neurons use electrical pulses (i.e, spikes) to encode the signal information remains elusive. Analyzing spike sequences generated by individual neurons and by two coupled neurons (using the stochastic…

Neurons and Cognition · Quantitative Biology 2019-10-23 Maria Masoliver , Cristina Masoller

How extracellular electric fields, as generated endogenously or through transcranial brain stimulation, affect the dynamics of large neuronal populations is of great interest but not well understood. To study the collective dynamics of…

Neurons and Cognition · Quantitative Biology 2016-11-10 Florian Aspart , Josef Ladenbauer , Klaus Obermayer

A major goal in neuroscience is to understand how populations of neurons code for stimuli or actions. While the number of neurons that can be recorded simultaneously is increasing at a fast pace, in most cases these recordings cannot access…

Neurons and Cognition · Quantitative Biology 2019-04-10 Oleksandr Sorochynskyi , Stéphane Deny , Olivier Marre , Ulisse Ferrari

The excitability property of spiking neurons describes their capability to output an action potential as a real-time response to an input synaptic excitation current and is central to the event-based neuromorphic computing paradigm. The…

Statistical Mechanics · Physics 2025-11-18 Léopold Van Brandt , Grégoire Brandsteert , Denis Flandre

We study a model of spiking neurons, with recurrent connections that result from learning a set of spatio-temporal patterns with a spike-timing dependent plasticity rule and a global inhibition. We investigate the ability of the network to…

Neurons and Cognition · Quantitative Biology 2020-04-22 S. Scarpetta , A. de Candia

Neurons in the nervous system convey information to higher brain regions by the generation of spike trains. An important question in the field of computational neuroscience is how these sensory neurons encode environmental information in a…

Neurons and Cognition · Quantitative Biology 2013-09-13 Alex Susemihl , Ron Meir , Manfred Opper

Which statistical features of spiking activity matter for how stimuli are encoded in neural populations? A vast body of work has explored how firing rates in individual cells and correlations in the spikes of cell pairs impact coding. But…

Neurons and Cognition · Quantitative Biology 2014-12-02 Alex Cayco-Gajic , Joel Zylberberg , Eric Shea-Brown

The response time of physical computational elements is finite, and neurons are no exception. In hierarchical models of cortical networks each layer thus introduces a response lag. This inherent property of physical dynamical systems…

Neurons and Cognition · Quantitative Biology 2021-10-28 Paul Haider , Benjamin Ellenberger , Laura Kriener , Jakob Jordan , Walter Senn , Mihai A. Petrovici

To evaluate the nature of the neural code in the cerebral cortex, we have used a combination of theory and experiment to assess how information is represented in a realistic cortical population response. We have shown how a sensory stimulus…

Neurons and Cognition · Quantitative Biology 2008-03-28 L. C. Osborne , S. E. Palmer , S. G. Lisberger , W. Bialek

Ultracold atoms in periodical driven optical lattices enable us to investigate novel band structures and explore the topology of the bands. In this work, we investigate the impact of the ramping process of the driving signal and propose a…

Quantum Gases · Physics 2019-10-24 Xinxin Guo , Wenjun Zhang , Zhihan Li , Hongmian Shui , Xuzong Chen , Xiaoji Zhou

Recent studies have shown how spiking networks can learn complex functionality through error-correcting plasticity, but the resulting structures and dynamics remain poorly studied. To elucidate how these models may link to observed dynamics…

Neurons and Cognition · Quantitative Biology 2025-08-19 Jonas Oberste-Frielinghaus , Anno C. Kurth , Julian Göltz , Laura Kriener , Junji Ito , Mihai A. Petrovici , Sonja Grün

The motor-driven intracellular transport of vesicles to synaptic targets in the axons and dendrites of neurons plays a crucial role in normal cell function. Moreover, stimulus-dependent regulation of active transport is an important…

Neurons and Cognition · Quantitative Biology 2021-10-14 Paul C Bressloff
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