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On a Finite-Size Neuronal Population Equation

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The stochastic wave equation

Robert Dalang

These notes give an overview of recent results concerning the non-linear stochastic wave equation in spatial dimensions d >= 1, in the case where the driving noise is Gaussian, spatially homogeneous and white in time. We mainly address issues of existence, ...

Springer Verlag2008

Kinetics of the Bose-Einstein condensation of microcavity polaritons - art. no. 689213

Vincenzo Savona, Davide Sarchi

We adopt a kinetic theory of polariton non-equilibrium Bose-Einstein condensation, to describe the formation of off-diagonal long-range order. The theory accounts properly for the dominant role of quantum fluctuations in the condensate. In realistic situat ...

SPIE-INT SOC OPTICAL ENGINEERING, PO BOX 10, BELLINGHAM, WA 98227-0010 USA2008

We adopt a kinetic theory of polariton nonequilibrium Bose-Einstein condensation to describe the formation of off-diagonal long-range order. The theory accounts properly for the dominant role of quantum fluctuations in the condensate. In realistic situatio ...

2007

Minimal nonlinear dynamic neuron models of the generic bifurcation type may provide the middle way between the detailed models favored by experimentalists and the simplified threshold and rate model of computational neuroscientists. This thesis investigate ...

EPFL2006

, ,

We describe evolution of spiking neural architectures to control navigation of autonomous mobile robots. Experimental results with simple fitness functions indicate that evolution can rapidly generate spiking circuits capable of navigating in textured envi ...

2006

A method for determining neural connectivity and inferring the underlying network dynamics using extracellular spike recordings

Oscar De Feo

In the present paper we propose a novel method for the identification and modeling of neural networks using extracellular spike recordings. We create a deterministic model of the effective network, whose dynamic behavior fits experimental data. The network ...

2005

Peptide and protein characterization by high-rate electron capture dissociation Fourier transform ion cyclotron resonance mass spectrometry. [Erratum to document cited in CA142:280385]

Yury Tsybin

A review. On page 723, the equation should read: M + zH+.bul.: [M + zH]Z+ + e -> M + zH+.bul. (+6 eV) -> M + (z - 1)H+ + H.* -> fragments. [on SciFinder (R)] ...

2004

We investigate the propagation of pulses of spike activity in a neuronal network with feed-forward couplings. The neurons are of the spike-response type with a firing probability that depends linearly on the membrane potential. AFter firing neurons enter a ...

Massachusetts Institute of Technology Press2002

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

Hebbian learning and spiking neurons

Wulfram Gerstner

A correlation-based (

Hebbian'') learning rule at the spike level is formulated, mathematically analyzed, and compared with learning in a firing-rate description. As for spike coding, we take advantage of a

learning window'' that describes the effect of ...

1999