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A Diffusion Approximation and Numerical Methods for Adaptive Neuron Models with Stochastic Inputs

Overview of attention for article published in Frontiers in Computational Neuroscience, April 2016
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Title
A Diffusion Approximation and Numerical Methods for Adaptive Neuron Models with Stochastic Inputs
Published in
Frontiers in Computational Neuroscience, April 2016
DOI 10.3389/fncom.2016.00039
Pubmed ID
Authors

Robert Rosenbaum

Abstract

Characterizing the spiking statistics of neurons receiving noisy synaptic input is a central problem in computational neuroscience. Monte Carlo approaches to this problem are computationally expensive and often fail to provide mechanistic insight. Thus, the field has seen the development of mathematical and numerical approaches, often relying on a Fokker-Planck formalism. These approaches force a compromise between biological realism, accuracy and computational efficiency. In this article we develop an extension of existing diffusion approximations to more accurately approximate the response of neurons with adaptation currents and noisy synaptic currents. The implementation refines existing numerical schemes for solving the associated Fokker-Planck equations to improve computationally efficiency and accuracy. Computer code implementing the developed algorithms is made available to the public.

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The data shown below were collected from the profiles of 3 X users who shared this research output. Click here to find out more about how the information was compiled.
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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 34 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Norway 1 3%
Unknown 33 97%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 10 29%
Researcher 6 18%
Other 3 9%
Student > Master 3 9%
Student > Bachelor 3 9%
Other 6 18%
Unknown 3 9%
Readers by discipline Count As %
Mathematics 7 21%
Neuroscience 7 21%
Agricultural and Biological Sciences 5 15%
Physics and Astronomy 4 12%
Engineering 3 9%
Other 4 12%
Unknown 4 12%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 2. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 06 May 2016.
All research outputs
#13,976,488
of 22,865,319 outputs
Outputs from Frontiers in Computational Neuroscience
#629
of 1,345 outputs
Outputs of similar age
#154,487
of 298,997 outputs
Outputs of similar age from Frontiers in Computational Neuroscience
#14
of 32 outputs
Altmetric has tracked 22,865,319 research outputs across all sources so far. This one is in the 37th percentile – i.e., 37% of other outputs scored the same or lower than it.
So far Altmetric has tracked 1,345 research outputs from this source. They typically receive a little more attention than average, with a mean Attention Score of 6.2. This one is in the 49th percentile – i.e., 49% of its peers scored the same or lower than it.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 298,997 tracked outputs that were published within six weeks on either side of this one in any source. This one is in the 46th percentile – i.e., 46% of its contemporaries scored the same or lower than it.
We're also able to compare this research output to 32 others from the same source and published within six weeks on either side of this one. This one is in the 46th percentile – i.e., 46% of its contemporaries scored the same or lower than it.