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. 2018 Jan 23;8:1403. doi: 10.1038/s41598-018-19462-3

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Modeling a random neuronal culture to analyze first spike response to a spatio-temporal stimulus pattern. (a) A neuronal network generated with random locations of neurons and distance dependent connection probabilities. Green represent excitatory neurons and red show inhibitory neurons (b) The network viewed as a two layer network after selecting 8 neurons as inputs to analyze first spike response behavior. Connections from input electrodes to a single output neuron is highlighted. Such a partial connectivity is hypothesized to give rise to a coarse-conjunctive population code at the output layer. (c) Model assumed for calculating output firing probability for a paired stimulus at an output electrode. Inputs are stimulated with a delay of t_d, a weighted sum is calculated to determine excitation at an output electrode and a sigmoid function is used to calculate output firing probability.