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Towards a theory of cortical columns: From spiking neurons to interacting neural populations of finite size

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Piecewise linear differential equations and integrate-and-fire neurons : insights from two-dimensional membrane models

Wulfram Gerstner

We derive and study two-dimensional generalizations of integrate-and-fire models which can be found from a piecewise linear idealization of the FitzHugh-Nagumo or Morris-Lecar model. These models give rise to new properties not present in one-dimensional i ...

2003

Real-time computing without stable states: a new framework for neural computation based on perturbations

Henry Markram

A key challenge for neural modeling is to explain how a continuous stream of multimodal input from a rapidly changing environment can be processed by stereotypical recurrent circuits of integrate-and-fire neurons in real time. We propose a new computationa ...

2002

Spiking Neural Network Device

Dario Floreano

The patent describes a method for representing a network of spiking neurons in a digital microcontrollers and ways to automatically synthetize an architecture for a specific problem using an evolutionary procedure. Both the neural representation and the ev ...

2002

Spike frequency adaptation and neocortical rhythms

Henry Markram

Spike-frequency adaptation in neocortical pyramidal neurons was examined using the whole cell patch-clamp technique and a phenomenological model of neuronal activity. Noisy current was injected to reproduce the irregular firing typically observed under in ...

2002

Effects of grouping in contextual modulation

Michael Herzog

Perception of a visual target and the responses of cortical neurons can be strongly influenced by a context surrounding the target(1-27). This observation relates to the fundamental issue of how cortical neurons code objects of the external world. In high- ...

2002

Effect of lateral connections on the accuracy of the population code for a network of spiking neurons

Wulfram Gerstner

We study how neuronal connections in a population of spiking neurons affect the accuracy of stimulus estimation. Neurons in our model code for a one-dimensional orientation variable

\phi

. Connectivity between two neurons depends on the absolute differenc ...

2001

Characterization of reliability of spike timing in spinal interneurons during oscillating inputs

Jesper Ryge

The spike timing in rhythmically active interneurons in the mammalian spinal locomotor network varies from cycle to cycle. We tested the contribution from passive membrane properties to this variable firing pattern, by measuring the reliability of spike ti ...

American Physiological Society2001

The excitatory neuronal network of rat layer 4 barrel cortex

Carl Petersen

Sensory whiskers are mapped to rodent layer 4 somatosensory cortex as discrete units termed barrels, which can be visualized at high resolution in living brain slices. Both anatomical and physiological properties of the layer 4 neuronal network can thus be ...

2000

Synchrony generation in recurrent networks with frequency-dependent synapses

Henry Markram

Throughout the neocortex, groups of neurons have been found to fire synchronously on the time scale of several milliseconds. This near coincident firing of neurons could coordinate the multifaceted information of different features of a stimulus. The mecha ...

2000

Population dynamics of spiking neurons: fast transients, asynchronous states and locking

Wulfram Gerstner

An integral equation describing the time evolution of the population activity in a homogeneous pool of spiking neurons of the integrate-and-fire type is discussed. It is analytically shown that transients from a state of incoherent firing can be immediate. ...

Massachusetts Institute of Technology Press2000

Effect of lateral connections on the accuracy of the population code for a network of spiking neurons

Wulfram Gerstner

We study how neuronal connections in a population of spiking neurons affect the accuracy of stimulus estimation. Neurons in our model code for a one-dimensional orientation variable

\phi

. Connectivity between two neurons depends on the absolute differenc ...

2001