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A simultaneous two-level clustering algorithm for automatic model selection

Guenael Cabanes, Younes Bennani
<span title="">2007</span> <i title="IEEE"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ijxfcr5nm5bezm7iddvoa2pajm" style="color: black;">Sixth International Conference on Machine Learning and Applications (ICMLA 2007)</a> </i> &nbsp;
One of the most crucial questions in many real-world cluster applications is determining a suitable number of clusters, also known as the model selection problem.  ...  Estimating true numbers of clusters is related to the cluster stability which involved the validity of clusters generated by the learning algorithm.  ...  We then rerun the clustering process based on the sub-sampling a fraction of the samples and group the sub-samples into clusters.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icmla.2007.71">doi:10.1109/icmla.2007.71</a> <a target="_blank" rel="external noopener" href="https://dblp.org/rec/conf/icmla/CabanesB07.html">dblp:conf/icmla/CabanesB07</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/rbokz4birrhu5lje6bxyq7veb4">fatcat:rbokz4birrhu5lje6bxyq7veb4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809003624/http://lipn.univ-paris13.fr/~bennani/PUBLICATIONS/Cabanes/Cabanes_ICMLA07.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e7/9a/e79ac96bf40dc452066430f6a6b43692de5e7a7c.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1109/icmla.2007.71"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> ieee.com </button> </a>

The distribution of inhibitory neurons in the C. elegans connectome facilitates self-optimization of coordinated neural activity [article]

Alejandro Morales, Tom Froese
<span title="2020-10-28">2020</span> <i > arXiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Here we implemented an abstract simulation model of the C. elegans connectome that approximates the neurotransmitter identity of each neuron, and we explored the functional role of these physiological  ...  A comparison of these two conditions revealed that the biological distribution of inhibitory connections facilitates the self-optimization of coordinated neural activity compared with an arbitrary distribution  ...  Arbitrary assignment of states for the neurons (reset). 2. Asynchronous updates of the neurons, typically for sufficient iterations such that activity stabilizes (convergence).  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.15272v1">arXiv:2010.15272v1</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/huzzfts3cfcm7asy5g44p5ukjq">fatcat:huzzfts3cfcm7asy5g44p5ukjq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201101002535/https://arxiv.org/pdf/2010.15272v1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/aa/e3/aae3e9820d690c8dda659536ec31079e20595117.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener" href="https://arxiv.org/abs/2010.15272v1" title="arxiv.org access"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> arxiv.org </button> </a>

Synchrony in Excitatory Neural Networks

D. Hansel, G. Mato, C. Meunier
<span title="">1995</span> <i title="MIT Press - Journals"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/rckx6fqoszfvva5c53bqivu5am" style="color: black;">Neural Computation</a> </i> &nbsp;
These results are illustrated on three models of neurons: the Lapicque integrate-and-fire model, the model of Connor et al., and the Hodgkin-Huxley model.  ...  For these two types of responses we derive general conditions under which excitation destabilizes in-phase synchrony.  ...  In contrast, for 72 = 2 msec and g = 1.3 mS/cm2 the system stabilizes in a symmetric three-cluster state. In this state the network is broken into three similar groups of neurons.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1162/neco.1995.7.2.307">doi:10.1162/neco.1995.7.2.307</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/8974733">pmid:8974733</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ofkmgrtvprc3fi4fnzjjb325lq">fatcat:ofkmgrtvprc3fi4fnzjjb325lq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170812232403/http://math.rice.edu/~mjf8/research/networks/DynamicsSynchronization/Hansel_et_al1995.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/a0/47/a047474833d51518860365ed09bf2ce24e32aadc.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1162/neco.1995.7.2.307"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> mitpressjournals.org </button> </a>

Pulse coupled oscillators and the phase resetting curve

Carmen C. Canavier, Srisairam Achuthan
<span title="">2010</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hdsimelqbzfw3kuyyukmkz24gq" style="color: black;">Mathematical Biosciences</a> </i> &nbsp;
A phase resetting curve (PRC) keeps track of how much an input advances or delays the next spike in an oscillatory neuron depending upon where in the cycle the input is applied.  ...  Alternatively, maps based on the PRC have been constructed that do not presuppose a firing order.  ...  and stability criteria for arbitrary PRCs.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mbs.2010.05.001">doi:10.1016/j.mbs.2010.05.001</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/20460132">pmid:20460132</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC3022482/">pmcid:PMC3022482</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jr6hafyde5bylirz3oj26ocg4a">fatcat:jr6hafyde5bylirz3oj26ocg4a</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170809052207/http://www.math.fsu.edu/~ssengul/journalclub/papers/07_13_2013_1.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/e3/cf/e3cf4f263d6193792a6a72cb318b1ae8a9041e66.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/j.mbs.2010.05.001"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3022482" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Cluster synchronization in an ensemble of neurons interacting through chemical synapses

Masahiko Yoshioka
<span title="2005-06-23">2005</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nuk2stxzvvhf7ljciu325kj77m" style="color: black;">Physical Review E</a> </i> &nbsp;
In one-cluster state we find the change of stability of a cluster, which elucidates that in-phase synchronization of IF neurons occurs with only inhibitory synapses.  ...  To clarify stability of cluster state, we decompose linear stability of the solution into two types of stabilities: stability of mean state and stabilities of clusters.  ...  We explicitly compute Floquet matrices of these stabilities for arbitrary neuron dynamics.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.71.061914">doi:10.1103/physreve.71.061914</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/16089772">pmid:16089772</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/ec6kiaht3nenbc5v7hkfqhi7jq">fatcat:ec6kiaht3nenbc5v7hkfqhi7jq</a> </span>
<a target="_blank" rel="noopener" href="https://archive.org/download/arxiv-nlin0504057/nlin0504057.pdf" title="fulltext PDF download [not primary version]" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> File Archive [PDF] <span style="color: #f43e3e;">&#10033;</span> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.71.061914"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

Slow switching in a population of delayed pulse-coupled oscillators

Hiroshi Kori
<span title="2003-08-28">2003</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/hphsuvsjtvgjvnloxbomufglhe" style="color: black;">Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics</a> </i> &nbsp;
We develop an asymptotic theory to reduce the model into a simpler form, with which an analytical study of cluster states becomes possible.  ...  By considering the stability of cluster states and symmetry possessed by our model, we argue that saddle connections between a pair of the two-cluster states are formed under general conditions.  ...  Our original model given by Eq. ͑1͒ is reduced to the standard phase model in the weak coupling limit, by which we succeeded in studying the stability of the two-cluster states analytically, and confirming  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.68.021919">doi:10.1103/physreve.68.021919</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/14525018">pmid:14525018</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/phksvkbv6jdurlxsp5ltggcgai">fatcat:phksvkbv6jdurlxsp5ltggcgai</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190313171232/https://core.ac.uk/download/pdf/39184367.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/50/22/502243c3813991eae4e30e0a59220d8da369a4a2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physreve.68.021919"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> aps.org </button> </a>

PROCESSING OF SENSORY INFORMATION BY A NETWORK OF OSCILLATORS WITH MEMORY

Haim Sompolinsky, Michail Tsodyks
<span title="">1992</span> <i title="World Scientific Pub Co Pte Lt"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/ox7e5wrtdnh5zfxy275sj4n3ee" style="color: black;">International Journal of Neural Systems</a> </i> &nbsp;
The newtork is based on the phenomenological oscillator model of Sompolinsky et al.4 Neurons are modeled as interacting oscillators whose amplitudes are determined completely by the local external stimulus  ...  It is thus difficult to incorporate in these models global relationships between parts of the memories such as binding subsets of the network into distinct objects and separating them from the background  ...  The newtork is based on the phenomenological oscillator model of Sompolinsky et al.4 Neurons are modeled as interacting oscillators whose amplitudes are determined completely by the local external stimulus  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0129065792000371">doi:10.1142/s0129065792000371</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/fcsbbgv2xfffhe3hwjyk4wvtha">fatcat:fcsbbgv2xfffhe3hwjyk4wvtha</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20130926122757/http://neurophysics.huji.ac.il/~haim/papers/somp-tsodyks-92.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/81/52/81525ce7f16bef55b850ae2de9ce200f2e5dc09f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1142/s0129065792000371"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> worldscientific.com </button> </a>

Spatially localized cluster solutions in inhibitory neural networks [article]

Hwayeon Ryu, Jennifer Miller, Zeynep Teymuroglu, Xueying Wang, Victoria Booth, Sue Ann Campbell
<span title="2020-07-31">2020</span> <i title="Cold Spring Harbor Laboratory"> bioRxiv </i> &nbsp; <span class="release-stage" >pre-print</span>
Using the phase model reduction of the network system, we prove the existence of cluster solutions where neurons that are spatially close together are also synchronized in the same cluster, and find stability  ...  Here, we identify conditions for the existence and stability of cluster firing solutions in which clusters consist of spatially adjacent neurons in inhibitory neural networks.  ...  Table 1 : 1 Description of parameters and the values used for the neuron model in (8) . Table 2 : 2 Stability predictions from phase model analysis for the network (8) .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1101/2020.07.30.229542">doi:10.1101/2020.07.30.229542</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hsj2qeoi7rbf7bedacbf4ninvu">fatcat:hsj2qeoi7rbf7bedacbf4ninvu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201108093055/https://www.biorxiv.org/content/biorxiv/early/2020/07/31/2020.07.30.229542.full.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/82/3f/823f25bff3b0e7637839d4d4ddc8117251ec5951.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1101/2020.07.30.229542"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> biorxiv.org </button> </a>

Sequential Desynchronization in Networks of Spiking Neurons with Partial Reset

Christoph Kirst, Theo Geisel, Marc Timme
<span title="2009-02-09">2009</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/pkmpevvs3bgkhal5dvrmsu5mvq" style="color: black;">Physical Review Letters</a> </i> &nbsp;
of bifurcations from states with large clusters of synchronously firing neurons, through states with smaller clusters to completely asynchronous spiking.  ...  We propose a neuron model that after spike emission exhibits a partial response to residual input charges and study its collective network dynamics analytically.  ...  To answer these questions, we analytically investigate the existence and stability of periodic states with clusters of arbitrary sizes.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.102.068101">doi:10.1103/physrevlett.102.068101</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/19257635">pmid:19257635</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/hkvk32mtufejlol5hhdwwm6sdu">fatcat:hkvk32mtufejlol5hhdwwm6sdu</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20190224174556/http://pdfs.semanticscholar.org/5baa/70952a14bcf79c7786c8407d3bd5df0bbb98.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/5b/aa/5baa70952a14bcf79c7786c8407d3bd5df0bbb98.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevlett.102.068101"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> aps.org </button> </a>

Controlling neural clustering using delayed inputs*

Gabor Orosz, Jeff Moehlis
<span title="">2009</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/p3wtlm3j2fedxitkuu4bs3scau" style="color: black;">IFAC Proceedings Volumes</a> </i> &nbsp;
Based on these investigations a controller is constructed that uses delayed inputs to destroy full synchrony and stabilize clustering.  ...  Coupled Hodgkin-Huxley neurons are considered when finite-speed signal propagation introduces time delays into the coupling.  ...  In this case one can reduce the system to a phase model where each neuron is described by a scalar phase variable.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20090901-3-ro-4009.00072">doi:10.3182/20090901-3-ro-4009.00072</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/qqxgi5iz5rffzatc2o6c7p3ui4">fatcat:qqxgi5iz5rffzatc2o6c7p3ui4</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20120129022936/http://www-personal.umich.edu/~orosz/articles/IFACsinaia.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/f2/64/f2644e492fc670d027e275c5613d2a1b9ed76dd8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.3182/20090901-3-ro-4009.00072"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a>

Phase-Resetting Curves Determine Synchronization, Phase Locking, and Clustering in Networks of Neural Oscillators

S. Achuthan, C. C. Canavier
<span title="2009-04-22">2009</span> <i title="Society for Neuroscience"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/s7bticdwizdmhll4taefg57jde" style="color: black;">Journal of Neuroscience</a> </i> &nbsp;
Networks of model neurons were constructed and their activity was predicted using an iterated map based solely on the phase-resetting curves (PRCs).  ...  When the PRC generated using N Ϫ 1 simultaneously active inputs becomes too steep, the fully synchronous mode loses stability in a network of N model neurons.  ...  In Figure 3C2 , for example, a small dip into negative phases can be observed right after the phase of each neuron is reset from one to zero to indicate that the neuron has fired.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1523/jneurosci.0426-09.2009">doi:10.1523/jneurosci.0426-09.2009</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/19386918">pmid:19386918</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC2765798/">pmcid:PMC2765798</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/liy4bsuaxzge5h43gh3b5h4qbq">fatcat:liy4bsuaxzge5h43gh3b5h4qbq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20170819062542/http://www.jneurosci.org/content/jneuro/29/16/5218.full.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/b2/86/b286058c6d8dd2526413c55e7bf45455ecc952a2.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1523/jneurosci.0426-09.2009"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC2765798" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Phase Response Theory Explains Cluster Formation in Sparsely but Strongly Connected Inhibitory Neural Networks and Effects of Jitter due to Sparse Connectivity

Ruben A. Tikidji-Hamburyan, Conrad A Leonik, Carmen C. Canavier
<span title="2019-02-06">2019</span> <i title="American Physiological Society"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nr2f6gixzrgdlloxlemhfdztdi" style="color: black;">Journal of Neurophysiology</a> </i> &nbsp;
Transitions between cluster states within an inhibitory subnetwork may allow more effective recruitment of pyramidal neurons into the network rhythm.  ...  phase response curve (PRC) generated by the appropriate perturbation from a partner cluster.  ...  Each neuron is represented by a single-compartment, conductance-based model.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1152/jn.00728.2018">doi:10.1152/jn.00728.2018</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/30726155">pmid:30726155</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC6485746/">pmcid:PMC6485746</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/5iqolzhkibfvll7zmzx6i4xwtq">fatcat:5iqolzhkibfvll7zmzx6i4xwtq</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20201104215305/https://journals.physiology.org/doi/pdf/10.1152/jn.00728.2018" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/96/9d/969dcf1907fb1abea0f4137936bec1fd7f321fd8.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1152/jn.00728.2018"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6485746" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>

Phase-locking in weakly heterogeneous neuronal networks

Carson C. Chow
<span title="">1998</span> <i title="Elsevier BV"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/jsigantcpjamteymlcjp25zyvq" style="color: black;">Physica D : Non-linear phenomena</a> </i> &nbsp;
We examine analytically the existence and stability of phase-locked states in a weakly heterogeneous neuronal network.  ...  We consider a model of N neurons with all-to-all synaptic coupling where the heterogeneity is in the firing frequency or intrinsic drive of the neurons.  ...  Based on the perturbation dynamics we obtain sufficient conditions for stability. The resulting condition is similar to that derived for phase models [40] .  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0167-2789(98)00082-7">doi:10.1016/s0167-2789(98)00082-7</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/3uleed7z3bhwhjonskyeovmbdi">fatcat:3uleed7z3bhwhjonskyeovmbdi</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20070611042432/http://www.math.pitt.edu/~ccc/htdocs/archive/phase.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/ed/9a/ed9a9e1d9098449c9b6299a64e74034ab627ed4e.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1016/s0167-2789(98)00082-7"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="external alternate icon"></i> elsevier.com </button> </a>

Effect of boundaries on grid cell patterns

Mauro M. Monsalve-Mercado, Christian Leibold
<span title="2020-10-27">2020</span> <i title="American Physical Society (APS)"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/xs76paw2lnaxbdftrazjjcfyii" style="color: black;">Physical Review Research</a> </i> &nbsp;
The model produces coherent neuronal populations with equal grid spacing, field size, and orientation.  ...  We show that the observed responses to environmental manipulations arise as a natural result under the general framework of feedforward models with spatially unstructured feedback inhibition, which puts  ...  the reorganization of fields into phase groups.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevresearch.2.043137">doi:10.1103/physrevresearch.2.043137</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/uujhs2572nhbdpw6vdu7xgf3ci">fatcat:uujhs2572nhbdpw6vdu7xgf3ci</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20210427110940/https://epub.ub.uni-muenchen.de/74011/2/PhysRevResearch.2.043137.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/94/36/943681775dd0071a1e63ca78728d28358a5bbb6f.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1103/physrevresearch.2.043137"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> aps.org </button> </a>

Self-referential phase reset based on inferior olive oscillator dynamics

V. B. Kazantsev, V. I. Nekorkin, V. I. Makarenko, R. Llinas
<span title="2004-12-16">2004</span> <i title="Proceedings of the National Academy of Sciences"> <a target="_blank" rel="noopener" href="https://fatcat.wiki/container/nvtuoas5pbdsllkntnhizy4f4q" style="color: black;">Proceedings of the National Academy of Sciences of the United States of America</a> </i> &nbsp;
The goal of this article is to show how this selfreferential phase reset may be implemented into a motor control system by using a biologically based mathematical model. neuron ͉ nonlinear ͉ oscillation  ...  These clusters provide a dynamical representation of arbitrary motor intention patterns that are further mapped to the motor execution system.  ...  In this case, the phase resets associated with these orbits are naturally transformed into neuron spiking.  ... 
<span class="external-identifiers"> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1073/pnas.0407900101">doi:10.1073/pnas.0407900101</a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pubmed/15604140">pmid:15604140</a> <a target="_blank" rel="external noopener" href="https://pubmed.ncbi.nlm.nih.gov/PMC535908/">pmcid:PMC535908</a> <a target="_blank" rel="external noopener" href="https://fatcat.wiki/release/jmfcir6gozd7xl545t5gmdlzhm">fatcat:jmfcir6gozd7xl545t5gmdlzhm</a> </span>
<a target="_blank" rel="noopener" href="https://web.archive.org/web/20181030060621/http://www.pnas.org/content/pnas/101/52/18183.full.pdf" title="fulltext PDF download" data-goatcounter-click="serp-fulltext" data-goatcounter-title="serp-fulltext"> <button class="ui simple right pointing dropdown compact black labeled icon button serp-button"> <i class="icon ia-icon"></i> Web Archive [PDF] <div class="menu fulltext-thumbnail"> <img src="https://blobs.fatcat.wiki/thumbnail/pdf/74/4c/744c4783dc4942acd8c5f3802efe229c4a410d93.180px.jpg" alt="fulltext thumbnail" loading="lazy"> </div> </button> </a> <a target="_blank" rel="external noopener noreferrer" href="https://doi.org/10.1073/pnas.0407900101"> <button class="ui left aligned compact blue labeled icon button serp-button"> <i class="unlock alternate icon" style="background-color: #fb971f;"></i> Publisher / doi.org </button> </a> <a target="_blank" rel="external noopener" href="https://www.ncbi.nlm.nih.gov/pmc/articles/PMC535908" title="pubmed link"> <button class="ui compact blue labeled icon button serp-button"> <i class="file alternate outline icon"></i> pubmed.gov </button> </a>
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