Köksal Ersöz, Elif; Wendling, Fabrice Canard solutions in neural mass models: consequences on critical regimes. (English) Zbl 1486.92010 J. Math. Neurosci. 11, Paper No. 11, 27 p. (2021). MSC: 92B20 34E15 34E17 92C32 92C55 PDFBibTeX XMLCite \textit{E. Köksal Ersöz} and \textit{F. Wendling}, J. Math. Neurosci. 11, Paper No. 11, 27 p. (2021; Zbl 1486.92010) Full Text: DOI
Kolodina, Karina; Wyller, John; Oleynik, Anna; Sørensen, Mads Peter Pattern formation in a 2-population homogenized neuronal network model. (English) Zbl 1486.92027 J. Math. Neurosci. 11, Paper No. 9, 38 p. (2021). MSC: 92C20 92C15 PDFBibTeX XMLCite \textit{K. Kolodina} et al., J. Math. Neurosci. 11, Paper No. 9, 38 p. (2021; Zbl 1486.92027) Full Text: DOI
Boscain, Ugo; Prandi, Dario; Sacchelli, Ludovic; Turco, Giuseppina A bio-inspired geometric model for sound reconstruction. (English) Zbl 1467.92013 J. Math. Neurosci. 11, Paper No. 2, 18 p. (2021). MSC: 92B20 92C05 PDFBibTeX XMLCite \textit{U. Boscain} et al., J. Math. Neurosci. 11, Paper No. 2, 18 p. (2021; Zbl 1467.92013) Full Text: DOI arXiv
Spek, Len; Kuznetsov, Yuri A.; van Gils, Stephan A. Neural field models with transmission delays and diffusion. (English) Zbl 1475.92020 J. Math. Neurosci. 10, Paper No. 21, 50 p. (2020). MSC: 92B20 34K18 65P30 PDFBibTeX XMLCite \textit{L. Spek} et al., J. Math. Neurosci. 10, Paper No. 21, 50 p. (2020; Zbl 1475.92020) Full Text: DOI arXiv
Detorakis, Georgios; Chaillet, Antoine; Rougier, Nicolas P. Stability analysis of a neural field self-organizing map. (English) Zbl 1469.92015 J. Math. Neurosci. 10, Paper No. 20, 20 p. (2020). Reviewer: Kevin Burrage (Brisbane) MSC: 92B20 PDFBibTeX XMLCite \textit{G. Detorakis} et al., J. Math. Neurosci. 10, Paper No. 20, 20 p. (2020; Zbl 1469.92015) Full Text: DOI
Gelastopoulos, Alexandros; Kopell, Nancy J. Interactions of multiple rhythms in a biophysical network of neurons. (English) Zbl 1469.92018 J. Math. Neurosci. 10, Paper No. 19, 43 p. (2020). Reviewer: Kevin Burrage (Brisbane) MSC: 92B20 PDFBibTeX XMLCite \textit{A. Gelastopoulos} and \textit{N. J. Kopell}, J. Math. Neurosci. 10, Paper No. 19, 43 p. (2020; Zbl 1469.92018) Full Text: DOI
Baspinar, E.; Sarti, A.; Citti, G. A sub-Riemannian model of the visual cortex with frequency and phase. (English) Zbl 1470.92019 J. Math. Neurosci. 10, Paper No. 11, 31 p. (2020). Reviewer: Liviu Goraş (Iaşi) MSC: 92B20 91E30 53C17 PDFBibTeX XMLCite \textit{E. Baspinar} et al., J. Math. Neurosci. 10, Paper No. 11, 31 p. (2020; Zbl 1470.92019) Full Text: DOI arXiv
Chen, Bolun; Miller, Paul Attractor-state itinerancy in neural circuits with synaptic depression. (English) Zbl 1448.92014 J. Math. Neurosci. 10, Paper No. 15, 18 p. (2020). MSC: 92B20 PDFBibTeX XMLCite \textit{B. Chen} and \textit{P. Miller}, J. Math. Neurosci. 10, Paper No. 15, 18 p. (2020; Zbl 1448.92014) Full Text: DOI
Anselmi, Fabio; Patel, Ankit; Rosasco, Lorenzo Neurally plausible mechanisms for learning selective and invariant representations. (English) Zbl 1448.91238 J. Math. Neurosci. 10, Paper No. 12, 15 p. (2020). MSC: 91E40 PDFBibTeX XMLCite \textit{F. Anselmi} et al., J. Math. Neurosci. 10, Paper No. 12, 15 p. (2020; Zbl 1448.91238) Full Text: DOI
Bick, Christian; Goodfellow, Marc; Laing, Carlo R.; Martens, Erik A. Understanding the dynamics of biological and neural oscillator networks through exact mean-field reductions: a review. (English) Zbl 1448.92011 J. Math. Neurosci. 10, Paper No. 9, 43 p. (2020). MSC: 92B20 PDFBibTeX XMLCite \textit{C. Bick} et al., J. Math. Neurosci. 10, Paper No. 9, 43 p. (2020; Zbl 1448.92011) Full Text: DOI arXiv
Duchet, Benoit; Weerasinghe, Gihan; Cagnan, Hayriye; Brown, Peter; Bick, Christian; Bogacz, Rafal Phase-dependence of response curves to deep brain stimulation and their relationship: from essential tremor patient data to a Wilson-Cowan model. (English) Zbl 1443.92047 J. Math. Neurosci. 10, Paper No. 4, 39 p. (2020). MSC: 92B20 92C50 92C20 PDFBibTeX XMLCite \textit{B. Duchet} et al., J. Math. Neurosci. 10, Paper No. 4, 39 p. (2020; Zbl 1443.92047) Full Text: DOI
Chossat, Pascal The hyperbolic model for edge and texture detection in the primary visual cortex. (English) Zbl 1443.92064 J. Math. Neurosci. 10, Paper No. 2, 30 p. (2020). MSC: 92C20 35Q92 35L05 PDFBibTeX XMLCite \textit{P. Chossat}, J. Math. Neurosci. 10, Paper No. 2, 30 p. (2020; Zbl 1443.92064) Full Text: DOI
Yihe, Lu; Timofeeva, Yulia Exact solutions to cable equations in branching neurons with tapering dendrites. (English) Zbl 1443.92070 J. Math. Neurosci. 10, Paper No. 1, 31 p. (2020). MSC: 92C20 PDFBibTeX XMLCite \textit{L. Yihe} and \textit{Y. Timofeeva}, J. Math. Neurosci. 10, Paper No. 1, 31 p. (2020; Zbl 1443.92070) Full Text: DOI
Melanson, Alexandre; Longtin, André Data-driven inference for stationary jump-diffusion processes with application to membrane voltage fluctuations in pyramidal neurons. (English) Zbl 1439.92049 J. Math. Neurosci. 9, Paper No. 6, 30 p. (2019). MSC: 92C20 60H15 60J74 35Q84 PDFBibTeX XMLCite \textit{A. Melanson} and \textit{A. Longtin}, J. Math. Neurosci. 9, Paper No. 6, 30 p. (2019; Zbl 1439.92049) Full Text: DOI
Naud, Richard; Longtin, André Linking demyelination to compound action potential dispersion with a spike-diffuse-spike approach. (English) Zbl 1439.92050 J. Math. Neurosci. 9, Paper No. 3, 24 p. (2019); correction ibid. 9, Paper No. 8, 1 p. (2019). MSC: 92C20 PDFBibTeX XMLCite \textit{R. Naud} and \textit{A. Longtin}, J. Math. Neurosci. 9, Paper No. 3, 24 p. (2019; Zbl 1439.92050) Full Text: DOI
Kilpatrick, Zachary P. (ed.); Gjorgjieva, Julijana (ed.); Rosenbaum, Robert (ed.) Special issue from the 2017 international conference on mathematical neuroscience. (English) Zbl 1405.00052 J. Math. Neurosci. 9, Paper No. 1, 8 p. (2019). MSC: 00B25 92-06 92C20 PDFBibTeX XMLCite \textit{Z. P. Kilpatrick} (ed.) et al., J. Math. Neurosci. 9, Paper No. 1, 8 p. (2019; Zbl 1405.00052) Full Text: DOI
Moye, Matthew J.; Diekman, Casey O. Data assimilation methods for neuronal state and parameter estimation. (English) Zbl 1405.92050 J. Math. Neurosci. 8, Paper No. 11, 38 p. (2018). MSC: 92C20 PDFBibTeX XMLCite \textit{M. J. Moye} and \textit{C. O. Diekman}, J. Math. Neurosci. 8, Paper No. 11, 38 p. (2018; Zbl 1405.92050) Full Text: DOI
Ferrario, Andrea; Merrison-Hort, Robert; Soffe, Stephen R.; Li, Wen-Chang; Borisyuk, Roman Bifurcations of limit cycles in a reduced model of the Xenopus tadpole central pattern generator. (English) Zbl 1405.92043 J. Math. Neurosci. 8, Paper No. 10, 31 p. (2018). MSC: 92C20 PDFBibTeX XMLCite \textit{A. Ferrario} et al., J. Math. Neurosci. 8, Paper No. 10, 31 p. (2018; Zbl 1405.92043) Full Text: DOI
Barreiro, Andrea K.; Ly, Cheng Investigating the correlation-firing rate relationship in heterogeneous recurrent networks. (English) Zbl 1395.92030 J. Math. Neurosci. 8, Paper No. 8, 25 p. (2018). MSC: 92C20 PDFBibTeX XMLCite \textit{A. K. Barreiro} and \textit{C. Ly}, J. Math. Neurosci. 8, Paper No. 8, 25 p. (2018; Zbl 1395.92030) Full Text: DOI
Hedrick, Kathryn; Zhang, Kechen Analysis of an attractor neural network’s response to conflicting external inputs. (English) Zbl 1395.92039 J. Math. Neurosci. 8, Paper No. 6, 30 p. (2018). MSC: 92C20 92B20 37G35 PDFBibTeX XMLCite \textit{K. Hedrick} and \textit{K. Zhang}, J. Math. Neurosci. 8, Paper No. 6, 30 p. (2018; Zbl 1395.92039) Full Text: DOI
Hasan, Cris R.; Krauskopf, Bernd; Osinga, Hinke M. Saddle slow manifolds and canard orbits in \(\mathbb{R}^{4}\) and application to the full Hodgkin-Huxley model. (English) Zbl 1395.92038 J. Math. Neurosci. 8, Paper No. 5, 48 p. (2018). MSC: 92C20 37N25 34E17 34E15 PDFBibTeX XMLCite \textit{C. R. Hasan} et al., J. Math. Neurosci. 8, Paper No. 5, 48 p. (2018; Zbl 1395.92038) Full Text: DOI
Laing, Carlo R. The dynamics of networks of identical theta neurons. (English) Zbl 1395.92040 J. Math. Neurosci. 8, Paper No. 4, 24 p. (2018). MSC: 92C20 37N25 34K23 PDFBibTeX XMLCite \textit{C. R. Laing}, J. Math. Neurosci. 8, Paper No. 4, 24 p. (2018; Zbl 1395.92040) Full Text: DOI
Alswaihli, Jehan; Potthast, Roland; Bojak, Ingo; Saddy, Douglas; Hutt, Axel Kernel reconstruction for delayed neural field equations. (English) Zbl 1395.92028 J. Math. Neurosci. 8, Paper No. 3, 24 p. (2018). MSC: 92C20 35R30 45K05 47H10 PDFBibTeX XMLCite \textit{J. Alswaihli} et al., J. Math. Neurosci. 8, Paper No. 3, 24 p. (2018; Zbl 1395.92028) Full Text: DOI
Udeigwe, Lawrence C.; Munro, Paul W.; Ermentrout, G. Bard Emergent dynamical properties of the BCM learning rule. (English) Zbl 1405.92053 J. Math. Neurosci. 7, Paper No. 2, 32 p. (2017). MSC: 92C20 34C23 34C28 PDFBibTeX XMLCite \textit{L. C. Udeigwe} et al., J. Math. Neurosci. 7, Paper No. 2, 32 p. (2017; Zbl 1405.92053) Full Text: DOI
Dijkstra, Koen; Kuznetsov, Yuri A.; van Putten, Michel J. A. M.; van Gils, Stephan A. A rate-reduced neuron model for complex spiking behavior. (English) Zbl 1395.92035 J. Math. Neurosci. 7, Paper No. 13, 18 p. (2017). MSC: 92C20 PDFBibTeX XMLCite \textit{K. Dijkstra} et al., J. Math. Neurosci. 7, Paper No. 13, 18 p. (2017; Zbl 1395.92035) Full Text: DOI
Gökçe, Aytül; Avitabile, Daniele; Coombes, Stephen The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions. (English) Zbl 1395.92036 J. Math. Neurosci. 7, Paper No. 12, 23 p. (2017). MSC: 92C20 45K05 37N25 65R20 45M10 PDFBibTeX XMLCite \textit{A. Gökçe} et al., J. Math. Neurosci. 7, Paper No. 12, 23 p. (2017; Zbl 1395.92036) Full Text: DOI
Barreiro, Andrea K.; Kutz, J. Nathan; Shlizerman, Eli Symmetries constrain dynamics in a family of balanced neural networks. (English) Zbl 1395.92029 J. Math. Neurosci. 7, Paper No. 10, 28 p. (2017). MSC: 92C20 92B20 37N25 37G40 PDFBibTeX XMLCite \textit{A. K. Barreiro} et al., J. Math. Neurosci. 7, Paper No. 10, 28 p. (2017; Zbl 1395.92029) Full Text: DOI arXiv
Bonilla-Quintana, Mayte; Wedgwood, Kyle C. A.; O’Dea, Reuben D.; Coombes, Stephen An analysis of waves underlying grid cell firing in the medial enthorinal cortex. (English) Zbl 1395.92033 J. Math. Neurosci. 7, Paper No. 9, 30 p. (2017). MSC: 92C20 34D20 PDFBibTeX XMLCite \textit{M. Bonilla-Quintana} et al., J. Math. Neurosci. 7, Paper No. 9, 30 p. (2017; Zbl 1395.92033) Full Text: DOI
Ableidinger, Markus; Buckwar, Evelyn; Hinterleitner, Harald A stochastic version of the jansen and rit neural mass model: analysis and numerics. (English) Zbl 1395.92027 J. Math. Neurosci. 7, Paper No. 8, 35 p. (2017). MSC: 92C20 60H10 65C30 60H35 34D05 PDFBibTeX XMLCite \textit{M. Ableidinger} et al., J. Math. Neurosci. 7, Paper No. 8, 35 p. (2017; Zbl 1395.92027) Full Text: DOI
Nielsen, Bjørn Fredrik Regularization of ill-posed point neuron models. (English) Zbl 1395.92044 J. Math. Neurosci. 7, Paper No. 6, 23 p. (2017). MSC: 92C20 45K05 PDFBibTeX XMLCite \textit{B. F. Nielsen}, J. Math. Neurosci. 7, Paper No. 6, 23 p. (2017; Zbl 1395.92044) Full Text: DOI arXiv
Lang, Eva; Stannat, Wilhelm Finite-size effects on traveling wave solutions to neural field equations. (English) Zbl 1395.92041 J. Math. Neurosci. 7, Paper No. 5, 35 p. (2017). MSC: 92C20 60J20 60F05 PDFBibTeX XMLCite \textit{E. Lang} and \textit{W. Stannat}, J. Math. Neurosci. 7, Paper No. 5, 35 p. (2017; Zbl 1395.92041) Full Text: DOI arXiv
Sherman, Arthur S.; Ha, Joon How adaptation makes low firing rates robust. (English) Zbl 1395.92047 J. Math. Neurosci. 7, Paper No. 4, 21 p. (2017). MSC: 92C20 37G10 PDFBibTeX XMLCite \textit{A. S. Sherman} and \textit{J. Ha}, J. Math. Neurosci. 7, Paper No. 4, 21 p. (2017; Zbl 1395.92047) Full Text: DOI
Garnier, Aurélie; Vidal, Alexandre; Benali, Habib A theoretical study on the role of astrocytic activity in neuronal hyperexcitability by a novel neuron-glia mass model. (English) Zbl 1360.92027 J. Math. Neurosci. 6, Paper No. 10, 30 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{A. Garnier} et al., J. Math. Neurosci. 6, Paper No. 10, 30 p. (2016; Zbl 1360.92027) Full Text: DOI
Li, Kang; Bundesen, Claus; Ditlevsen, Susanne Responses of leaky integrate-and-fire neurons to a plurality of stimuli in their receptive fields. (English) Zbl 1360.92028 J. Math. Neurosci. 6, Paper No. 8, 33 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{K. Li} et al., J. Math. Neurosci. 6, Paper No. 8, 33 p. (2016; Zbl 1360.92028) Full Text: DOI
Nielsen, Bjørn Fredrik; Wyller, John Ill-posed point neuron models. (English) Zbl 1360.92030 J. Math. Neurosci. 6, Paper No. 7, 21 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{B. F. Nielsen} and \textit{J. Wyller}, J. Math. Neurosci. 6, Paper No. 7, 21 p. (2016; Zbl 1360.92030) Full Text: DOI
Massarelli, Nicole; Clapp, Geoffrey; Hoffman, Kathleen; Kiemel, Tim Entrainment ranges for chains of forced neural and phase oscillators. (English) Zbl 1360.92029 J. Math. Neurosci. 6, Paper No. 6, 21 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{N. Massarelli} et al., J. Math. Neurosci. 6, Paper No. 6, 21 p. (2016; Zbl 1360.92029) Full Text: DOI
Fernandez, Bastien; Mintchev, Stanislav M. Wave generation in unidirectional chains of idealized neural oscillators. (English) Zbl 1361.92007 J. Math. Neurosci. 6, Paper No. 5, 27 p. (2016). MSC: 92B20 92C20 PDFBibTeX XMLCite \textit{B. Fernandez} and \textit{S. M. Mintchev}, J. Math. Neurosci. 6, Paper No. 5, 27 p. (2016; Zbl 1361.92007) Full Text: DOI arXiv
Bressloff, Paul C. (ed.); Ermentrout, Bard (ed.); Faugeras, Olivier (ed.); Thomas, Peter J. (ed.) Stochastic network models in neuroscience: a Festschrift for Jack Cowan. Introduction to the special issue. (English) Zbl 1352.00032 J. Math. Neurosci. 6, Paper No. 4, 9 p. (2016). MSC: 00B30 92-06 92C20 PDFBibTeX XMLCite \textit{P. C. Bressloff} (ed.) et al., J. Math. Neurosci. 6, Paper No. 4, 9 p. (2016; Zbl 1352.00032) Full Text: DOI
Thul, Rüdiger; Coombes, Stephen; Laing, Carlo R. Neural field models with threshold noise. (English) Zbl 1356.92021 J. Math. Neurosci. 6, Paper No. 3, 26 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{R. Thul} et al., J. Math. Neurosci. 6, Paper No. 3, 26 p. (2016; Zbl 1356.92021) Full Text: DOI
Ashwin, Peter; Coombes, Stephen; Nicks, Rachel Mathematical frameworks for oscillatory network dynamics in neuroscience. (English) Zbl 1356.92015 J. Math. Neurosci. 6, Paper No. 2, 92 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{P. Ashwin} et al., J. Math. Neurosci. 6, Paper No. 2, 92 p. (2016; Zbl 1356.92015) Full Text: DOI arXiv
Cowan, Jack D.; Neuman, Jeremy; van Drongelen, Wim Wilson-Cowan equations for neocortical dynamics. (English) Zbl 1356.92016 J. Math. Neurosci. 6, Paper No. 1, 24 p. (2016). MSC: 92C20 PDFBibTeX XMLCite \textit{J. D. Cowan} et al., J. Math. Neurosci. 6, Paper No. 1, 24 p. (2016; Zbl 1356.92016) Full Text: DOI
Wood, Cynthia I.; Hicks, Illya V. The minimal \(k\)-core problem for modeling \(k\)-assemblies. (English) Zbl 1357.92018 J. Math. Neurosci. 5, Paper No. 14, 19 p. (2015). MSC: 92C20 05C90 PDFBibTeX XMLCite \textit{C. I. Wood} and \textit{I. V. Hicks}, J. Math. Neurosci. 5, Paper No. 14, 19 p. (2015; Zbl 1357.92018) Full Text: DOI
Verduzco-Flores, Sergio Stochastic synchronization in purkinje cells with feedforward inhibition could be studied with equivalent phase-response curves. (English) Zbl 1357.92017 J. Math. Neurosci. 5, Paper No. 13, 32 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{S. Verduzco-Flores}, J. Math. Neurosci. 5, Paper No. 13, 32 p. (2015; Zbl 1357.92017) Full Text: DOI
Veltz, Romain; Chossat, Pascal; Faugeras, Olivier On the effects on cortical spontaneous activity of the symmetries of the network of pinwheels in visual area V1. (English) Zbl 1357.92016 J. Math. Neurosci. 5, Paper No. 11, 28 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{R. Veltz} et al., J. Math. Neurosci. 5, Paper No. 11, 28 p. (2015; Zbl 1357.92016) Full Text: DOI
Bressloff, Paul C. Path-integral methods for analyzing the effects of fluctuations in stochastic hybrid neural networks. (English) Zbl 1361.92005 J. Math. Neurosci. 5, Paper No. 4, 33 p. (2015). MSC: 92B20 92C20 60J28 PDFBibTeX XMLCite \textit{P. C. Bressloff}, J. Math. Neurosci. 5, Paper No. 4, 33 p. (2015; Zbl 1361.92005) Full Text: DOI
Negahbani, Ehsan; Steyn-Ross, D. Alistair; Steyn-Ross, Moira L.; Wilson, Marcus T.; Sleigh, Jamie W. Noise-induced precursors of state transitions in the stochastic Wilson-Cowan model. (English) Zbl 1357.92015 J. Math. Neurosci. 5, Paper No. 9, 27 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{E. Negahbani} et al., J. Math. Neurosci. 5, Paper No. 9, 27 p. (2015; Zbl 1357.92015) Full Text: DOI
Meijer, Hil G. E.; Eissa, Tahra L.; Kiewiet, Bert; Neuman, Jeremy F.; Schevon, Catherine A.; Emerson, Ronald G.; Goodman, Robert R.; McKhann, Guy M.; Marcuccilli, Charles J.; Tryba, Andrew K.; Cowan, Jack D.; van Gils, Stephan A.; van Drongelen, Wim Modeling focal epileptic activity in the Wilson-cowan model with depolarization block. (English) Zbl 1357.92013 J. Math. Neurosci. 5, Paper No. 7, 17 p. (2015). MSC: 92C20 92C50 PDFBibTeX XMLCite \textit{H. G. E. Meijer} et al., J. Math. Neurosci. 5, Paper No. 7, 17 p. (2015; Zbl 1357.92013) Full Text: DOI
Voronenko, Sergej O.; Stannat, Wilhelm; Lindner, Benjamin Shifting spike times or adding and deleting spikes – how different types of noise shape signal transmission in neural populations. (English) Zbl 1356.92024 J. Math. Neurosci. 5, Paper No. 1, 35 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{S. O. Voronenko} et al., J. Math. Neurosci. 5, Paper No. 1, 35 p. (2015; Zbl 1356.92024) Full Text: DOI
Leen, David A.; Shea-Brown, Eric A simple mechanism for beyond-pairwise correlations in integrate-and-fire neurons. (English) Zbl 1356.92019 J. Math. Neurosci. 5, Paper No. 17, 13 p. (2015). MSC: 92C20 PDFBibTeX XMLCite \textit{D. A. Leen} and \textit{E. Shea-Brown}, J. Math. Neurosci. 5, Paper No. 17, 13 p. (2015; Zbl 1356.92019) Full Text: DOI
Laing, Carlo R. Numerical bifurcation theory for high-dimensional neural models. (English) Zbl 1333.92018 J. Math. Neurosci. 4, Paper No. 13, 27 p. (2014). MSC: 92C20 65P30 PDFBibTeX XMLCite \textit{C. R. Laing}, J. Math. Neurosci. 4, Paper No. 13, 27 p. (2014; Zbl 1333.92018) Full Text: DOI
Kuehn, Christian; Riedler, Martin G. Large deviations for nonlocal stochastic neural fields. (English) Zbl 1291.92038 J. Math. Neurosci. 4, Paper No. 1, 33 p. (2014). MSC: 92C20 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{M. G. Riedler}, J. Math. Neurosci. 4, Paper No. 1, 33 p. (2014; Zbl 1291.92038) Full Text: DOI arXiv
Reynaud-Bouret, Patricia; Rivoirard, Vincent; Grammont, Franck; Tuleau-Malot, Christine Goodness-of-fit tests and nonparametric adaptive estimation for spike train analysis. (English) Zbl 1321.92047 J. Math. Neurosci. 4, Paper No. 3, 41 p. (2014). MSC: 92C20 PDFBibTeX XMLCite \textit{P. Reynaud-Bouret} et al., J. Math. Neurosci. 4, Paper No. 3, 41 p. (2014; Zbl 1321.92047) Full Text: DOI
Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André Fokker-Planck and Fortet equation-based parameter estimation for a leaky integrate-and-fire model with sinusoidal and stochastic forcing. (English) Zbl 1431.92011 J. Math. Neurosci. 4, Paper No. 4, 30 p. (2014). MSC: 92C10 82C31 35Q84 35Q92 PDFBibTeX XMLCite \textit{A. Iolov} et al., J. Math. Neurosci. 4, Paper No. 4, 30 p. (2014; Zbl 1431.92011) Full Text: DOI
Barbieri, D.; Citti, G.; Sarti, A. How uncertainty bounds the shape index of simple cells. (English) Zbl 1291.92021 J. Math. Neurosci. 4, Paper No. 5, 15 p. (2014). MSC: 92C20 PDFBibTeX XMLCite \textit{D. Barbieri} et al., J. Math. Neurosci. 4, Paper No. 5, 15 p. (2014; Zbl 1291.92021) Full Text: DOI arXiv
Faugeras, Olivier (ed.); Thieullen, Michèle (ed.) Editorial for the special issue on uncertainty in the brain. (English) Zbl 1298.00127 J. Math. Neurosci. 4, Paper No. 7, 2 p. (2014). MSC: 00B15 92-06 92C20 PDFBibTeX XMLCite \textit{O. Faugeras} (ed.) and \textit{M. Thieullen} (ed.), J. Math. Neurosci. 4, Paper No. 7, 2 p. (2014; Zbl 1298.00127) Full Text: DOI
Di Bernardino, Elena; León, José; Tchumatchenko, Tatjana Cross-correlations and joint gaussianity in multivariate level crossing models. (English) Zbl 1291.92031 J. Math. Neurosci. 4, Paper No. 22, 25 p. (2014). MSC: 92C20 PDFBibTeX XMLCite \textit{E. Di Bernardino} et al., J. Math. Neurosci. 4, Paper No. 22, 25 p. (2014; Zbl 1291.92031) Full Text: DOI
Akcay, Zeynep; Bose, Amitabha; Nadim, Farzan Effects of synaptic plasticity on phase and period locking in a network of two oscillatory neurons. (English) Zbl 1291.92019 J. Math. Neurosci. 4, Paper No. 8, 29 p. (2014). MSC: 92C20 PDFBibTeX XMLCite \textit{Z. Akcay} et al., J. Math. Neurosci. 4, Paper No. 8, 29 p. (2014; Zbl 1291.92019) Full Text: DOI
Merrison-Hort, Robert; Yousif, Nada; Njap, Felix; Hofmann, Ulrich G.; Burylko, Oleksandr; Borisyuk, Roman An interactive channel model of the basal ganglia: bifurcation analysis under healthy and Parkinsonian conditions. (English) Zbl 1291.92041 J. Math. Neurosci. 3, Paper No. 14, 29 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{R. Merrison-Hort} et al., J. Math. Neurosci. 3, Paper No. 14, 29 p. (2013; Zbl 1291.92041) Full Text: DOI
Timofeeva, Yulia; Coombes, Stephen; Michieletto, Davide Gap junctions, dendrites and resonances: a recipe for tuning network dynamics. (English) Zbl 1291.92050 J. Math. Neurosci. 3, Paper No. 15, 27 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{Y. Timofeeva} et al., J. Math. Neurosci. 3, Paper No. 15, 27 p. (2013; Zbl 1291.92050) Full Text: DOI
Hutt, Axel; Zhang, Linghai Distributed nonlocal feedback delays May destabilize fronts in neural fields, distributed transmission delays do not. (English) Zbl 1291.92036 J. Math. Neurosci. 3, Paper No. 9, 21 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{A. Hutt} and \textit{L. Zhang}, J. Math. Neurosci. 3, Paper No. 9, 21 p. (2013; Zbl 1291.92036) Full Text: DOI
Diekman, Casey O.; Golubitsky, Martin; Wang, Yunjiao Derived patterns in binocular rivalry networks. (English) Zbl 1291.92032 J. Math. Neurosci. 3, Paper No. 6, 23 p. (2013). MSC: 92C20 PDFBibTeX XMLCite \textit{C. O. Diekman} et al., J. Math. Neurosci. 3, Paper No. 6, 23 p. (2013; Zbl 1291.92032) Full Text: DOI
Wedgwood, Kyle C. A.; Lin, Kevin K.; Thul, Ruediger; Coombes, Stephen Phase-amplitude descriptions of neural oscillator models. (English) Zbl 1291.92052 J. Math. Neurosci. 3, Paper No. 2, 22 p. (2013). MSC: 92C20 34C15 37N25 PDFBibTeX XMLCite \textit{K. C. A. Wedgwood} et al., J. Math. Neurosci. 3, Paper No. 2, 22 p. (2013; Zbl 1291.92052) Full Text: DOI arXiv
Caudron, Quentin; Donnelly, Simon R.; Brand, Samuel P. C.; Timofeeva, Yulia Computational convergence of the path integral for real dendritic morphologies. (English) Zbl 1291.92027 J. Math. Neurosci. 2, Paper No. 11, 28 p. (2012). MSC: 92C20 82C80 35K51 PDFBibTeX XMLCite \textit{Q. Caudron} et al., J. Math. Neurosci. 2, Paper No. 11, 28 p. (2012; Zbl 1291.92027) Full Text: DOI
Galtier, Mathieu; Wainrib, Gilles Multiscale analysis of slow-fast neuronal learning models with noise. (English) Zbl 1291.60119 J. Math. Neurosci. 2, Paper No. 13, 64 p. (2012). MSC: 60H10 92C20 34F05 34C29 60J70 PDFBibTeX XMLCite \textit{M. Galtier} and \textit{G. Wainrib}, J. Math. Neurosci. 2, Paper No. 13, 64 p. (2012; Zbl 1291.60119) Full Text: DOI
Coombes, Stephen; Schmidt, Helmut; Bojak, Ingo Interface dynamics in planar neural field models. (English) Zbl 1291.92028 J. Math. Neurosci. 2, Paper No. 9, 27 p. (2012). MSC: 92C20 35R09 45K05 PDFBibTeX XMLCite \textit{S. Coombes} et al., J. Math. Neurosci. 2, Paper No. 9, 27 p. (2012; Zbl 1291.92028) Full Text: DOI
Visser, Sid; Meijer, Hil G. E.; van Putten, Michel J. A. M.; van Gils, Stephan A. Analysis of stability and bifurcations of fixed points and periodic solutions of a lumped model of neocortex with two delays. (English) Zbl 1291.92051 J. Math. Neurosci. 2, Paper No. 8, 24 p. (2012). MSC: 92C20 34K18 PDFBibTeX XMLCite \textit{S. Visser} et al., J. Math. Neurosci. 2, Paper No. 8, 24 p. (2012; Zbl 1291.92051) Full Text: DOI
Rubin, Jonathan E.; Terman, David Explicit maps to predict activation order in multiphase rhythms of a coupled cell network. (English) Zbl 1291.92046 J. Math. Neurosci. 2, Paper No. 4, 28 p. (2012). MSC: 92C20 34E13 PDFBibTeX XMLCite \textit{J. E. Rubin} and \textit{D. Terman}, J. Math. Neurosci. 2, Paper No. 4, 28 p. (2012; Zbl 1291.92046) Full Text: DOI
Bressloff, Paul C. From invasion to extinction in heterogeneous neural fields. (English) Zbl 1291.92024 J. Math. Neurosci. 2, Paper No. 6, 27 p. (2012). MSC: 92C20 35Q92 35K57 PDFBibTeX XMLCite \textit{P. C. Bressloff}, J. Math. Neurosci. 2, Paper No. 6, 27 p. (2012; Zbl 1291.92024) Full Text: DOI
Teka, Wondimu; Tabak, Joël; Vo, Theodore; Wechselberger, Martin; Bertram, Richard The dynamics underlying pseudo-plateau bursting in a pituitary cell model. (English) Zbl 1259.37063 J. Math. Neurosci. 1, Paper No. 12 (2011). MSC: 37N25 37C10 34D10 PDFBibTeX XMLCite \textit{W. Teka} et al., J. Math. Neurosci. 1, Paper No. 12 (2011; Zbl 1259.37063) Full Text: DOI
Zhang, Wenjun; Kirk, Vivien; Sneyd, James; Wechselberger, Martin Changes in the criticality of Hopf bifurcations due to certain model reduction techniques in systems with multiple timescales. (English) Zbl 1259.92003 J. Math. Neurosci. 1, Paper No. 9 (2011). MSC: 92B05 34C23 37N25 92C20 PDFBibTeX XMLCite \textit{W. Zhang} et al., J. Math. Neurosci. 1, Paper No. 9 (2011; Zbl 1259.92003) Full Text: DOI
Barrio, Roberto; Shilnikov, Andrey Parameter-sweeping techniques for temporal dynamics of neuronal systems: case study of Hindmarsh-Rose model. (English) Zbl 1259.37055 J. Math. Neurosci. 1, Paper No. 6 (2011). MSC: 37N25 92C20 92-08 PDFBibTeX XMLCite \textit{R. Barrio} and \textit{A. Shilnikov}, J. Math. Neurosci. 1, Paper No. 6 (2011; Zbl 1259.37055) Full Text: DOI
Faye, Gregory; Chossat, Pascal; Faugeras, Olivier Analysis of a hyperbolic geometric model for visual texture perception. (English) Zbl 1259.92007 J. Math. Neurosci. 1, Paper No. 4 (2011). MSC: 92C20 91E30 45M10 45K05 46N30 65C20 PDFBibTeX XMLCite \textit{G. Faye} et al., J. Math. Neurosci. 1, Paper No. 4 (2011; Zbl 1259.92007) Full Text: DOI
Bressloff, Paul C; Lai, Yi Ming Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise. (English) Zbl 1259.92004 J. Math. Neurosci. 1, Paper No. 2 (2011). MSC: 92B25 92C20 34C60 60H10 PDFBibTeX XMLCite \textit{P. C Bressloff} and \textit{Y. M. Lai}, J. Math. Neurosci. 1, Paper No. 2 (2011; Zbl 1259.92004) Full Text: DOI