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- Scott J. Cruikshank, Timothy J. Lewis, Barry W. Connors
- Nature neuroscience
- 2007

The thalamus provides fundamental input to the neocortex. This input activates inhibitory interneurons more strongly than excitatory neurons, triggering powerful feedforward inhibition. We studied the mechanisms of this selective neuronal activation using a mouse somatosensory thalamocortical preparation. Notably, the greater responsiveness of inhibitory… (More)

- Timothy J. Lewis, John Rinzel
- Journal of Computational Neuroscience
- 2003

We study the dynamics of a pair of intrinsically oscillating leaky integrate-and-fire neurons (identical and noise-free) connected by combinations of electrical and inhibitory coupling. We use the theory of weakly coupled oscillators to examine how synchronization patterns are influenced by cellular properties (intrinsic frequency and the strength of… (More)

- Renaud Jolivet, Timothy J. Lewis, Wulfram Gerstner
- Journal of neurophysiology
- 2004

We demonstrate that single-variable integrate-and-fire models can quantitatively capture the dynamics of a physiologically detailed model for fast-spiking cortical neurons. Through a systematic set of approximations, we reduce the conductance-based model to 2 variants of integrate-and-fire models. In the first variant (nonlinear integrate-and-fire model),… (More)

- Jaime G. Mancilla, Timothy J. Lewis, David J. Pinto, John Rinzel, Barry W. Connors
- The Journal of neuroscience : the official…
- 2007

We performed a systematic analysis of phase locking in pairs of electrically coupled neocortical fast-spiking (FS) and low-threshold-spiking (LTS) interneurons and in a conductance-based model of a pair of FS cells. Phase-response curves (PRCs) were obtained for real interneurons and the model cells. We used PRCs and the theory of weakly coupled oscillators… (More)

- Stuart Trenholm, Joanna P Borowska, +5 authors Gautam B. Awatramani
- The Journal of physiology
- 2012

In the rd1 mouse model for retinal degeneration, the loss of photoreceptors results in oscillatory activity (∼10–20 Hz) within the remnant electrically coupled network of retinal ON cone bipolar and AII amacrine cells. We tested the role of hyperpolarization-activated currents (I(h)), voltage-gated Na(+) channels and gap junctions in mediating such… (More)

Phase response curves (PRCs) characterize response properties of oscillating neurons to pulsetile input and are useful for linking the dynamics of individual neurons to network dynamics. PRCs can be easily computed for model neurons. PRCs can be also measured for real neurons, but there are many issues that complicate this process. Most of these… (More)

- George Sugai, Robert H Horner, +9 authors Michael Ruef
- 2009

Positive behavior support (PBS) and functional behavioral assessment (FBA) are two significant concepts of the 1997 amendments to the Individuals with Disabilities Education Act. These two concepts are not new, but they are important for improving the quality of efforts to educate children and youth with disabilities. The purposes of this article are to… (More)

- Renaud Jolivet, Timothy J. Lewis, Wulfram Gerstner
- ICANN
- 2003

We propose a simple method to map a generic threshold model, namely the Spike Response Model, to artificial data of neuronal activity using a minimal amount of a priori information. Here, data are generated by a detailed mathematical model of neuronal activity. The model neuron is driven with in-vivo-like current injected, and we test to which extent it is… (More)

- Timothy J. Lewis, John Rinzel
- Neurocomputing
- 2004

We examine how the location of weak electrical coupling affects phase-locking in a pair of model fast-spiking interneurons. Each model neuron consists of a somatic compartment and a passive dendritic compartment. At relatively low frequencies, the phase-locking structure for somatic and dendritic coupling is qualitatively the same: below a critical… (More)

- Pejman Rohani, Timothy J. Lewis, Dr. D. Grünbaum, Graeme D. Ruxton
- Trends in ecology & evolution
- 1997

Many seemingly plausible mathematical models of small-scale ecological interactions predict the self-organisation of dynamic, coherent and large scale spatial patterns (e.g. spirals). If true, such patterns would have important ecological and evolutionary consequences. For the most part, however, empirical studies have not corroborated their existence,… (More)