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- Magnus J. E. Richardson, Nicolas Brunel, Vincent Hakim
- Journal of neurophysiology
- 2003

Many types of neurons exhibit subthreshold resonance. However, little is known about whether this frequency preference influences spike emission. Here, the link between subthreshold resonance and firing rate is examined in the framework of conductance-based models. A classification of the subthreshold properties of a general class of neurons is first… (More)

- Laurent Badel, Sandrine Lefort, Romain Brette, Carl C. H. Petersen, Wulfram Gerstner, Magnus J. E. Richardson
- Journal of neurophysiology
- 2008

Neuronal response properties are typically probed by intracellular measurements of current-voltage (I-V) relationships during application of current or voltage steps. Here we demonstrate the measurement of a novel I-V curve measured while the neuron exhibits a fluctuating voltage and emits spikes. This dynamic I-V curve requires only a few tens of seconds… (More)

- Magnus J. E. Richardson
- Physical review. E, Statistical, nonlinear, and…
- 2007

Integrate-and-fire models are mainstays of the study of single-neuron response properties and emergent states of recurrent networks of spiking neurons. They also provide an analytical base for perturbative approaches that treat important biological details, such as synaptic filtering, synaptic conductance increase, and voltage-activated currents.… (More)

- Magnus J. E. Richardson, Wulfram Gerstner
- Neural Computation
- 2005

The subthreshold membrane voltage of a neuron in active cortical tissue is a fluctuating quantity with a distribution that reflects the firing statistics of the presynaptic population. It was recently found that conductance-based synaptic drive can lead to distributions with a significant skew. Here it is demonstrated that the underlying shot noise caused… (More)

- Magnus J. E. Richardson
- Physical review. E, Statistical, nonlinear, and…
- 2004

A neuron in an active cortical circuit is subject to a fluctuating synaptic drive mediated by conductance changes. It was recently demonstrated that synaptic conductance effects in vivo significantly alter the integrative properties of neurons. These effects are missed in models that approximate the synaptic drive as a fluctuating current. Here the… (More)

- Laurent Badel, Wulfram Gerstner, Magnus J. E. Richardson
- Neurocomputing
- 2006

The spike-triggered average voltage (STV) is an experimentally measurable quantity that is determined by both the membrane response properties and the statistics of the synaptic drive. Here, the form of the STV is modelled for neurons with three distinct types of subthreshold dynamics; passive decay, h-current sag, and damped oscillations. Analytical… (More)

- Laurent Badel, Sandrine Lefort, Thomas K. Berger, Carl C. H. Petersen, Wulfram Gerstner, Magnus J. E. Richardson
- Biological Cybernetics
- 2008

The dynamic I–V curve method was recently introduced for the efficient experimental generation of reduced neuron models. The method extracts the response properties of a neuron while it is subject to a naturalistic stimulus that mimics in vivo-like fluctuating synaptic drive. The resulting history-dependent, transmembrane current is then projected onto a… (More)

- Magnus J. E. Richardson, Tamar Flash
- The Journal of neuroscience : the official…
- 2002

The movements of the human arm have been extensively studied for a variety of goal-directed experimental tasks. Analyses of the trajectory and velocity of the arm have led to many hypotheses for the planning strategies that the CNS might use. One family of control hypotheses, including minimum jerk, snap and their generalizations to higher orders, comprises… (More)

- Magnus J. E. Richardson, Rupert Swarbrick
- Physical review letters
- 2010

The synaptic coupling between neurons in neocortical networks is sufficiently strong so that relatively few synchronous synaptic pulses are required to bring a neuron from rest to the spiking threshold. However, such finite-amplitude effects of fluctuating synaptic drive are missed in the standard diffusion approximation. Here exact solutions for the… (More)

- Halim Hicheur, S. Vieilledent, Magnus J. E. Richardson, Tamar Flash, Alain Berthoz
- Experimental Brain Research
- 2004

There is extensive experimental evidence linking instantaneous velocity to curvature in drawing and hand-writing movements. The empirical relationship between these characteristics of motion and path is well described by a power law in which the velocity varies in proportion to the one-third power of the radius of curvature. It was recently shown that a… (More)