Dumont, Grégory; Gabriel, Pierre The mean-field equation of a leaky integrate-and-fire neural network: measure solutions and steady states. (English) Zbl 07278312 Nonlinearity 33, No. 12, 6381-6420 (2020). Reviewer: Adrian Muntean (Karlstad) MSC: 35R06 92B20 35B40 60J76 35B35 PDF BibTeX XML Cite \textit{G. Dumont} and \textit{P. Gabriel}, Nonlinearity 33, No. 12, 6381--6420 (2020; Zbl 07278312) 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 PDF BibTeX XML Cite \textit{C. Bick} et al., J. Math. Neurosci. 10, Paper No. 9, 43 p. (2020; Zbl 1448.92011) Full Text: DOI
Lipton, Alexander Old problems, classical methods, new solutions. (English) Zbl 1447.91178 Int. J. Theor. Appl. Finance 23, No. 4, Article ID 2050024, 37 p. (2020). MSC: 91G20 60G40 35Q91 PDF BibTeX XML Cite \textit{A. Lipton}, Int. J. Theor. Appl. Finance 23, No. 4, Article ID 2050024, 37 p. (2020; Zbl 1447.91178) Full Text: DOI
Bortolan, Matheus C.; Uzal, José Manuel Pullback attractors to impulsive evolution processes: applications to differential equations and tube conditions. (English) Zbl 1441.37085 Discrete Contin. Dyn. Syst. 40, No. 5, 2791-2826 (2020). Reviewer: Linfang Liu (Xi’an) MSC: 37L05 37L30 35Q30 PDF BibTeX XML Cite \textit{M. C. Bortolan} and \textit{J. M. Uzal}, Discrete Contin. Dyn. Syst. 40, No. 5, 2791--2826 (2020; Zbl 1441.37085) Full Text: DOI
Vidybida, A. K. Simulating leaky integrate-and-fire neuron with integers. (English) Zbl 07316643 Math. Comput. Simul. 159, 154-160 (2019). MSC: 92C 92 PDF BibTeX XML Cite \textit{A. K. Vidybida}, Math. Comput. Simul. 159, 154--160 (2019; Zbl 07316643) Full Text: DOI
Granados, Albert; Huguet, Gemma Gluing and grazing bifurcations in periodically forced 2-dimensional integrate-and-fire models. (English) Zbl 07264680 Commun. Nonlinear Sci. Numer. Simul. 70, 48-73 (2019). MSC: 37J PDF BibTeX XML Cite \textit{A. Granados} and \textit{G. Huguet}, Commun. Nonlinear Sci. Numer. Simul. 70, 48--73 (2019; Zbl 07264680) Full Text: DOI
Cáceres, María J. A review about nonlinear noisy leaky integrate and fire models for neural networks. (English) Zbl 1432.35126 Riv. Mat. Univ. Parma (N.S.) 10, No. 2, 269-298 (2019). MSC: 35K60 35Q92 82C31 82C32 92B20 PDF BibTeX XML Cite \textit{M. J. Cáceres}, Riv. Mat. Univ. Parma (N.S.) 10, No. 2, 269--298 (2019; Zbl 1432.35126)
Crodelle, Jennifer; Newhall, Katherine A.; Pyzza, Pamela B.; Kovačič, Gregor Coarse-grained descriptions of oscillations in neuronal network models. (English) Zbl 1429.92011 Commun. Math. Sci. 17, No. 5, 1437-1458 (2019). MSC: 92B20 92B25 34D06 PDF BibTeX XML Cite \textit{J. Crodelle} et al., Commun. Math. Sci. 17, No. 5, 1437--1458 (2019; Zbl 1429.92011) Full Text: DOI
Perthame, Benoît; Salort, Delphine Derivation of a voltage density equation from a voltage-conductance kinetic model for networks of integrate-and-fire neurons. (English) Zbl 1433.35429 Commun. Math. Sci. 17, No. 5, 1193-1211 (2019). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q92 35Q83 35B65 35Q84 62M45 82C32 92B20 PDF BibTeX XML Cite \textit{B. Perthame} and \textit{D. Salort}, Commun. Math. Sci. 17, No. 5, 1193--1211 (2019; Zbl 1433.35429) Full Text: DOI
Cáceres, María J.; Roux, Pierre; Salort, Delphine; Schneider, Ricarda Global-in-time solutions and qualitative properties for the NNLIF neuron model with synaptic delay. (English) Zbl 1423.35148 Commun. Partial Differ. Equations 44, No. 12, 1358-1386 (2019). MSC: 35K20 35K60 35B44 35Q84 35R35 82C31 92B20 PDF BibTeX XML Cite \textit{M. J. Cáceres} et al., Commun. Partial Differ. Equations 44, No. 12, 1358--1386 (2019; Zbl 1423.35148) Full Text: DOI
Yamakou, Marius E.; Tran, Tat Dat; Duc, Luu Hoang; Jost, Jürgen The stochastic FitzHugh-Nagumo neuron model in the excitable regime embeds a leaky integrate-and-fire model. (English) Zbl 07085183 J. Math. Biol. 79, No. 2, 509-532 (2019). MSC: 60Gxx 92Bxx PDF BibTeX XML Cite \textit{M. E. Yamakou} et al., J. Math. Biol. 79, No. 2, 509--532 (2019; Zbl 07085183) Full Text: DOI
Ramírez-Ávila, Gonzalo Marcelo; Kurths, Jürgen; Depickère, Stéphanie; Deneubourg, Jean-Louis Modeling fireflies synchronization. (English) Zbl 1414.92065 Macau, Elbert E. N. (ed.), A mathematical modeling approach from nonlinear dynamics to complex systems. Cham: Springer. Nonlinear Syst. Complex. 22, 131-156 (2019). MSC: 92B25 91A55 34C15 PDF BibTeX XML Cite \textit{G. M. Ramírez-Ávila} et al., Nonlinear Syst. Complex. 22, 131--156 (2019; Zbl 1414.92065) Full Text: DOI
Cáceres, María; Schneider, Ricarda Analysis and numerical solver for excitatory-inhibitory networks with delay and refractory periods. (English) Zbl 1411.35178 ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1733-1761 (2018). Reviewer: E. Ahmed (Mansoura) MSC: 35K60 PDF BibTeX XML Cite \textit{M. Cáceres} and \textit{R. Schneider}, ESAIM, Math. Model. Numer. Anal. 52, No. 5, 1733--1761 (2018; Zbl 1411.35178) Full Text: DOI
Leng, Gareth; MacGregor, Duncan J. Models in neuroendocrinology. (English) Zbl 1409.92048 Math. Biosci. 305, 29-41 (2018). MSC: 92C20 PDF BibTeX XML Cite \textit{G. Leng} and \textit{D. J. MacGregor}, Math. Biosci. 305, 29--41 (2018; Zbl 1409.92048) Full Text: DOI
Richard, Alexandre; Orio, Patricio; Tanré, Etienne An integrate-and-fire model to generate spike trains with long-range dependence. (English) Zbl 1402.92110 J. Comput. Neurosci. 44, No. 3, 297-312 (2018). MSC: 92C20 PDF BibTeX XML Cite \textit{A. Richard} et al., J. Comput. Neurosci. 44, No. 3, 297--312 (2018; Zbl 1402.92110) Full Text: DOI
Beiran, Manuel; Kruscha, Alexandra; Benda, Jan; Lindner, Benjamin Coding of time-dependent stimuli in homogeneous and heterogeneous neural populations. (English) Zbl 1402.92072 J. Comput. Neurosci. 44, No. 2, 189-202 (2018). MSC: 92C20 PDF BibTeX XML Cite \textit{M. Beiran} et al., J. Comput. Neurosci. 44, No. 2, 189--202 (2018; Zbl 1402.92072) Full Text: DOI
Ly, Cheng; Marsat, Gary Variable synaptic strengths controls the firing rate distribution in feedforward neural networks. (English) Zbl 1402.92024 J. Comput. Neurosci. 44, No. 1, 75-95 (2018). MSC: 92B20 PDF BibTeX XML Cite \textit{C. Ly} and \textit{G. Marsat}, J. Comput. Neurosci. 44, No. 1, 75--95 (2018; Zbl 1402.92024) Full Text: DOI
Billeh, Yazan N.; Schaub, Michael T. Feedforward architectures driven by inhibitory interactions. (English) Zbl 1402.92074 J. Comput. Neurosci. 44, No. 1, 63-74 (2018). MSC: 92C20 PDF BibTeX XML Cite \textit{Y. N. Billeh} and \textit{M. T. Schaub}, J. Comput. Neurosci. 44, No. 1, 63--74 (2018; Zbl 1402.92074) Full Text: DOI
Kori, Hiroshi; Kiss, István Z.; Jain, Swati; Hudson, John L. Partial synchronization of relaxation oscillators with repulsive coupling in autocatalytic integrate-and-fire model and electrochemical experiments. (English) Zbl 1390.92177 Chaos 28, No. 4, 045111, 7 p. (2018). MSC: 92E99 34C60 34C15 PDF BibTeX XML Cite \textit{H. Kori} et al., Chaos 28, No. 4, 045111, 7 p. (2018; Zbl 1390.92177) Full Text: DOI
Patel, Mainak; Joshi, Badal Deterministic stability regimes and noise-induced quasistable behavior in a pair of reciprocally inhibitory neurons. (English) Zbl 1397.92119 J. Theor. Biol. 441, 68-83 (2018). MSC: 92C20 92B25 92C42 PDF BibTeX XML Cite \textit{M. Patel} and \textit{B. Joshi}, J. Theor. Biol. 441, 68--83 (2018; Zbl 1397.92119) Full Text: DOI
Hayashi, Tatsuya; Tokihiro, Tetsuji; Kurihara, Hiroki; Nomura, Fumimasa; Yasuda, Kenji Integrate and fire model with refractory period for synchronization of two cardiomyocytes. (English) Zbl 1394.92033 J. Theor. Biol. 437, 141-148 (2018). MSC: 92C37 92B25 PDF BibTeX XML Cite \textit{T. Hayashi} et al., J. Theor. Biol. 437, 141--148 (2018; Zbl 1394.92033) Full Text: DOI
Kasprzak, Piotr; Nawrocki, Adam; Signerska-Rynkowska, Justyna Integrate-and-fire models with an almost periodic input function. (English) Zbl 1380.42006 J. Differ. Equations 264, No. 4, 2495-2537 (2018). MSC: 42A75 37B55 37E45 92B20 PDF BibTeX XML Cite \textit{P. Kasprzak} et al., J. Differ. Equations 264, No. 4, 2495--2537 (2018; Zbl 1380.42006) Full Text: DOI arXiv
Borges, Fernando S.; Protachevicz, P. R.; Lameu, E. L.; Bonetti, R. C.; Iarosz, K. C.; Caldas, I. L.; Baptista, M. S.; Batista, Antonio Marcos Synchronised firing patterns in a random network of adaptive exponential integrate-and-fire neuron model. (English) Zbl 1439.92010 Neural Netw. 90, 1-7 (2017). MSC: 92B20 92B25 34D06 PDF BibTeX XML Cite \textit{F. S. Borges} et al., Neural Netw. 90, 1--7 (2017; Zbl 1439.92010) Full Text: DOI
Nandi, Anirban; Schättler, Heinz; Ritt, Jason T.; Ching, ShiNung Fundamental limits of forced asynchronous spiking with integrate and fire dynamics. (English) Zbl 1397.92118 J. Math. Neurosci. 7, Paper No. 11, 37 p. (2017). Reviewer: Carlo Laing (Auckland) MSC: 92C20 49K15 49J15 93C15 PDF BibTeX XML Cite \textit{A. Nandi} et al., J. Math. Neurosci. 7, Paper No. 11, 37 p. (2017; Zbl 1397.92118) Full Text: DOI
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 PDF BibTeX XML Cite \textit{M. Bonilla-Quintana} et al., J. Math. Neurosci. 7, Paper No. 9, 30 p. (2017; Zbl 1395.92033) Full Text: DOI
Umehara, Hiroaki; Okada, Masato; Teramae, Jun-nosuke; Naruse, Yasushi Macroscopic neural mass model constructed from a current-based network model of spiking neurons. (English) Zbl 1385.92016 Biol. Cybern. 111, No. 1, 91-103 (2017). MSC: 92C20 PDF BibTeX XML Cite \textit{H. Umehara} et al., Biol. Cybern. 111, No. 1, 91--103 (2017; Zbl 1385.92016) Full Text: DOI
Droste, Felix; Lindner, Benjamin Exact analytical results for integrate-and-fire neurons driven by excitatory shot noise. (English) Zbl 1382.92049 J. Comput. Neurosci. 43, No. 1, 81-91 (2017). MSC: 92C20 PDF BibTeX XML Cite \textit{F. Droste} and \textit{B. Lindner}, J. Comput. Neurosci. 43, No. 1, 81--91 (2017; Zbl 1382.92049) Full Text: DOI
Perthame, Benoît; Salort, Delphine; Wainrib, Gilles Distributed synaptic weights in a LIF neural network and learning rules. (English) Zbl 1378.92006 Physica D 353-354, 20-30 (2017). MSC: 92B20 35R60 35A35 PDF BibTeX XML Cite \textit{B. Perthame} et al., Physica D 353--354, 20--30 (2017; Zbl 1378.92006) Full Text: DOI
Miles, Christopher E.; Keener, James P. Jump locations of jump-diffusion processes with state-dependent rates. (English) Zbl 1386.82046 J. Phys. A, Math. Theor. 50, No. 42, Article ID 425003, 17 p. (2017). MSC: 82C24 60J60 PDF BibTeX XML Cite \textit{C. E. Miles} and \textit{J. P. Keener}, J. Phys. A, Math. Theor. 50, No. 42, Article ID 425003, 17 p. (2017; Zbl 1386.82046) Full Text: DOI
Udayabaskaran, S.; Karthikeyan, T.; Krishnan, A. E. A stochastic differential equation model of a neuronal activity driven by Poisson inputs. (English) Zbl 1374.60078 Far East J. Math. Sci. (FJMS) 101, No. 10, 2121-2132 (2017). MSC: 60G40 92C20 PDF BibTeX XML Cite \textit{S. Udayabaskaran} et al., Far East J. Math. Sci. (FJMS) 101, No. 10, 2121--2132 (2017; Zbl 1374.60078) Full Text: DOI Link
Rubin, Jonathan E.; Signerska-Rynkowska, Justyna; Touboul, Jonathan D.; Vidal, Alexandre Wild oscillations in a nonlinear neuron model with resets. II: Mixed-mode oscillations. (English) Zbl 1375.34075 Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 4003-4039 (2017). MSC: 34C60 37E45 92C20 34C05 34C26 PDF BibTeX XML Cite \textit{J. E. Rubin} et al., Discrete Contin. Dyn. Syst., Ser. B 22, No. 10, 4003--4039 (2017; Zbl 1375.34075) Full Text: DOI
Jiang, Yingchun; Wei, Lusong; Chen, Guangxi An adaptive sampling method for high-dimensional shift-invariant signals. (English) Zbl 1368.94066 Math. Methods Appl. Sci. 40, No. 12, 4529-4537 (2017). MSC: 94A20 46E22 PDF BibTeX XML Cite \textit{Y. Jiang} et al., Math. Methods Appl. Sci. 40, No. 12, 4529--4537 (2017; Zbl 1368.94066) Full Text: DOI
Florescu, Dorian Reconstruction, identification and implementation methods for spiking neural circuits. (English) Zbl 1378.92001 Springer Theses. Cham: Springer; Sheffield: Univ. of Sheffield (Diss.) (ISBN 978-3-319-57080-8/hbk; 978-3-319-57081-5/ebook). xiv, 139 p. (2017). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 92-02 92C20 92B20 00A71 92-08 PDF BibTeX XML Cite \textit{D. Florescu}, Reconstruction, identification and implementation methods for spiking neural circuits. Cham: Springer; Sheffield: Univ. of Sheffield (Diss.) (2017; Zbl 1378.92001) Full Text: DOI
Iolov, Alexandre; Ditlevsen, Susanne; Longtin, André Optimal design for estimation in diffusion processes from first hitting times. (English) Zbl 1365.62305 SIAM/ASA J. Uncertain. Quantif. 5, 88-110 (2017). MSC: 62K05 60J60 93E20 92C20 92D25 49L20 49M25 PDF BibTeX XML Cite \textit{A. Iolov} et al., SIAM/ASA J. Uncertain. Quantif. 5, 88--110 (2017; Zbl 1365.62305) Full Text: DOI
Cáceres, María J.; Schneider, Ricarda Blow-up, steady states and long time behaviour of excitatory-inhibitory nonlinear neuron models. (English) Zbl 1358.35062 Kinet. Relat. Models 10, No. 3, 587-612 (2017). MSC: 35K60 35Q92 82C31 82C32 92B20 PDF BibTeX XML Cite \textit{M. J. Cáceres} and \textit{R. Schneider}, Kinet. Relat. Models 10, No. 3, 587--612 (2017; Zbl 1358.35062) Full Text: DOI
Kobayashi, Ryota; Kitano, Katsunori Impact of slow K\(^+\) currents on spike generation can be described by an adaptive threshold model. (English) Zbl 1382.92063 J. Comput. Neurosci. 40, No. 3, 347-362 (2016). MSC: 92C20 92C40 PDF BibTeX XML Cite \textit{R. Kobayashi} and \textit{K. Kitano}, J. Comput. Neurosci. 40, No. 3, 347--362 (2016; Zbl 1382.92063) Full Text: DOI
Ditlevsen, Susanne; Samson, Adeline Parameter estimation in neuronal stochastic differential equation models from intracellular recordings of membrane potentials in single neurons: a review. (Revue des méthodes d’estimation paramétrique pour des modèles neuronaux sous forme d’équations différentielles stochastiques à partir de données neuronales intra-cellulaires.) (English. French summary) Zbl 1357.92010 J. SFdS 157, No. 1, 6-16 (2016). MSC: 92C20 60J70 92B15 62P10 PDF BibTeX XML Cite \textit{S. Ditlevsen} and \textit{A. Samson}, J. SFdS 157, No. 1, 6--16 (2016; Zbl 1357.92010) Full Text: Link
Dumont, G.; Henry, J.; Tarniceriu, C. O. Noisy threshold in neuronal models: connections with the noisy leaky integrate-and-fire model. (English) Zbl 1358.35202 J. Math. Biol. 73, No. 6-7, 1413-1436 (2016). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 35Q92 92C20 35Q84 35B40 PDF BibTeX XML Cite \textit{G. Dumont} et al., J. Math. Biol. 73, No. 6--7, 1413--1436 (2016; Zbl 1358.35202) Full Text: DOI
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Carfora, Maria Francesca A leaky integrate-and-fire model with adaptation for the generation of a spike train. (English) Zbl 1349.92039 Math. Biosci. Eng. 13, No. 3, 483-493 (2016). MSC: 92C20 60H10 PDF BibTeX XML Cite \textit{A. Buonocore} et al., Math. Biosci. Eng. 13, No. 3, 483--493 (2016; Zbl 1349.92039) Full Text: DOI
Feng, Tianquan; Yi, Ming Noise-enhanced transmission of time-modulated neurotransmitter random point trains in a noisy neuron. (English) Zbl 1350.92007 J. Biol. Syst. 24, No. 2-3, 367-383 (2016). MSC: 92C20 92C40 PDF BibTeX XML Cite \textit{T. Feng} and \textit{M. Yi}, J. Biol. Syst. 24, No. 2--3, 367--383 (2016; Zbl 1350.92007) Full Text: DOI
Seydnejad, Saeid R. Reconstruction of the input signal of the leaky integrate-and-fire neuronal model from its interspike intervals. (English) Zbl 1345.92091 Biol. Cybern. 110, No. 1, 3-15 (2016). MSC: 92C55 94A12 92C20 PDF BibTeX XML Cite \textit{S. R. Seydnejad}, Biol. Cybern. 110, No. 1, 3--15 (2016; Zbl 1345.92091) Full Text: DOI
Lansky, Petr; Sacerdote, Laura; Zucca, Cristina The gamma renewal process as an output of the diffusion leaky integrate-and-fire neuronal model. (English) Zbl 1344.92037 Biol. Cybern. 110, No. 2-3, 193-200 (2016). MSC: 92C20 PDF BibTeX XML Cite \textit{P. Lansky} et al., Biol. Cybern. 110, No. 2--3, 193--200 (2016; Zbl 1344.92037) Full Text: DOI arXiv
Dumont, Grégory; Henry, Jacques; Tarniceriu, Carmen Oana Theoretical connections between mathematical neuronal models corresponding to different expressions of noise. (English) Zbl 1344.92034 J. Theor. Biol. 406, 31-41 (2016). MSC: 92C20 60G55 60J85 PDF BibTeX XML Cite \textit{G. Dumont} et al., J. Theor. Biol. 406, 31--41 (2016; Zbl 1344.92034) Full Text: DOI
Singh, P.; Kadalbajoo, M. K.; Sharma, K. Probability density function of leaky integrate-and-fire model with Lévy noise and its numerical approximation. (Russian, English) Zbl 1349.92043 Sib. Zh. Vychisl. Mat. 19, No. 1, 87-96 (2016); translation in Numer. Analysis Appl. 9, No. 1, 66-73 (2016). MSC: 92C20 65M08 65M75 PDF BibTeX XML Cite \textit{P. Singh} et al., Sib. Zh. Vychisl. Mat. 19, No. 1, 87--96 (2016; Zbl 1349.92043); translation in Numer. Analysis Appl. 9, No. 1, 66--73 (2016) 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 PDF BibTeX XML Cite \textit{P. Ashwin} et al., J. Math. Neurosci. 6, Paper No. 2, 92 p. (2016; Zbl 1356.92015) Full Text: DOI
Mafahim, Javad Usefie; Lambert, David; Zare, Marzieh; Grigolini, Paolo Complexity matching in neural networks. (English) Zbl 1452.92003 New J. Phys. 17, No. 1, Article ID 015003, 17 p. (2015). MSC: 92B20 92C20 PDF BibTeX XML Cite \textit{J. U. Mafahim} et al., New J. Phys. 17, No. 1, Article ID 015003, 17 p. (2015; Zbl 1452.92003) Full Text: DOI
Zhang, J. W.; Rangan, A. V. A reduction for spiking integrate-and-fire network dynamics ranging from homogeneity to synchrony. (English) Zbl 1409.92016 J. Comput. Neurosci. 38, No. 2, 355-404 (2015). MSC: 92B20 92C20 92-04 PDF BibTeX XML Cite \textit{J. W. Zhang} and \textit{A. V. Rangan}, J. Comput. Neurosci. 38, No. 2, 355--404 (2015; Zbl 1409.92016) Full Text: DOI
Ly, Cheng Firing rate dynamics in recurrent spiking neural networks with intrinsic and network heterogeneity. (English) Zbl 1382.92067 J. Comput. Neurosci. 39, No. 3, 311-327 (2015). MSC: 92C20 92B20 PDF BibTeX XML Cite \textit{C. Ly}, J. Comput. Neurosci. 39, No. 3, 311--327 (2015; Zbl 1382.92067) Full Text: DOI
Schwalger, Tilo; Droste, Felix; Lindner, Benjamin Statistical structure of neural spiking under non-Poissonian or other non-white stimulation. (English) Zbl 1382.92085 J. Comput. Neurosci. 39, No. 1, 29-51 (2015). MSC: 92C20 62P10 PDF BibTeX XML Cite \textit{T. Schwalger} et al., J. Comput. Neurosci. 39, No. 1, 29--51 (2015; Zbl 1382.92085) Full Text: DOI
Shiau, LieJune; Schwalger, Tilo; Lindner, Benjamin Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation. (English) Zbl 1382.92089 J. Comput. Neurosci. 38, No. 3, 589-600 (2015). MSC: 92C20 68P10 PDF BibTeX XML Cite \textit{L. Shiau} et al., J. Comput. Neurosci. 38, No. 3, 589--600 (2015; Zbl 1382.92089) Full Text: DOI
Leiva, Víctor; Tejo, Mauricio; Guiraud, Pierre; Schmachtenberg, Oliver; Orio, Patricio; Marmolejo-Ramos, Fernando Modeling neural activity with cumulative damage distributions. (English) Zbl 1345.92042 Biol. Cybern. 109, No. 4-5, 421-433 (2015). MSC: 92C20 92C45 PDF BibTeX XML Cite \textit{V. Leiva} et al., Biol. Cybern. 109, No. 4--5, 421--433 (2015; Zbl 1345.92042) Full Text: DOI
Morse, R. P.; Allingham, D.; Stocks, N. G. A phenomenological model of myelinated nerve with a dynamic threshold. (English) Zbl 1343.92087 J. Theor. Biol. 382, 386-396 (2015). MSC: 92C20 PDF BibTeX XML Cite \textit{R. P. Morse} et al., J. Theor. Biol. 382, 386--396 (2015; Zbl 1343.92087) Full Text: DOI
Wang, Feng; Jiao, Xianfa Estimation of synaptic input parameters in integrate-and-fire model. (Chinese. English summary) Zbl 1349.92028 J. Hefei Univ. Technol., Nat. Sci. 38, No. 3, 428-432 (2015). MSC: 92B20 92C20 PDF BibTeX XML Cite \textit{F. Wang} and \textit{X. Jiao}, J. Hefei Univ. Technol., Nat. Sci. 38, No. 3, 428--432 (2015; Zbl 1349.92028) Full Text: DOI
Saparov, Abulhair; Schwemmer, Michael A. Effects of passive dendritic tree properties on the firing dynamics of a leaky-integrate-and-fire neuron. (English) Zbl 1351.92010 Math. Biosci. 269, 61-75 (2015). MSC: 92C20 92C05 PDF BibTeX XML Cite \textit{A. Saparov} and \textit{M. A. Schwemmer}, Math. Biosci. 269, 61--75 (2015; Zbl 1351.92010) Full Text: DOI
Laing, Carlo R. Exact neural fields incorporating gap junctions. (English) Zbl 1369.92020 SIAM J. Appl. Dyn. Syst. 14, No. 4, 1899-1929 (2015). MSC: 92C20 34C15 34D06 35B36 PDF BibTeX XML Cite \textit{C. R. Laing}, SIAM J. Appl. Dyn. Syst. 14, No. 4, 1899--1929 (2015; Zbl 1369.92020) Full Text: DOI
Inglis, J.; Talay, D. Mean-field limit of a stochastic particle system smoothly interacting through threshold hitting-times and applications to neural networks with dendritic component. (English) Zbl 1325.60158 SIAM J. Math. Anal. 47, No. 5, 3884-3916 (2015). MSC: 60K35 60H10 60J70 35Q83 92C20 PDF BibTeX XML Cite \textit{J. Inglis} and \textit{D. Talay}, SIAM J. Math. Anal. 47, No. 5, 3884--3916 (2015; Zbl 1325.60158) Full Text: DOI
Delarue, François; Inglis, James; Rubenthaler, Sylvain; Tanré, Etienne Global solvability of a networked integrate-and-fire model of McKean-Vlasov type. (English) Zbl 1322.60085 Ann. Appl. Probab. 25, No. 4, 2096-2133 (2015). MSC: 60H10 60K35 60J60 60K05 60J75 92C20 PDF BibTeX XML Cite \textit{F. Delarue} et al., Ann. Appl. Probab. 25, No. 4, 2096--2133 (2015; Zbl 1322.60085) Full Text: DOI Euclid arXiv
Granados, Albert; Krupa, Maciej Firing-rate, symbolic dynamics and frequency dependence in periodically driven spiking models: a piecewise-smooth approach. (English) Zbl 1356.37068 Nonlinearity 28, No. 5, 1163-1192 (2015). Reviewer: Kwok-wai Chung (Hong Kong) MSC: 37G15 37D50 34A37 34A38 93C30 92B05 PDF BibTeX XML Cite \textit{A. Granados} and \textit{M. Krupa}, Nonlinearity 28, No. 5, 1163--1192 (2015; Zbl 1356.37068) Full Text: DOI arXiv
Delarue, F.; Inglis, J.; Rubenthaler, S.; Tanré, E. Particle systems with a singular mean-field self-excitation. Application to neuronal networks. (English) Zbl 1328.60134 Stochastic Processes Appl. 125, No. 6, 2451-2492 (2015). MSC: 60H10 60K35 60J60 82C32 92C20 PDF BibTeX XML Cite \textit{F. Delarue} et al., Stochastic Processes Appl. 125, No. 6, 2451--2492 (2015; Zbl 1328.60134) Full Text: DOI
Marzantowicz, Wacław; Signerska, Justyna On the interspike-intervals of periodically-driven integrate-and-fire models. (English) Zbl 1325.37022 J. Math. Anal. Appl. 423, No. 1, 456-479 (2015). MSC: 37E10 37M10 92B20 PDF BibTeX XML Cite \textit{W. Marzantowicz} and \textit{J. Signerska}, J. Math. Anal. Appl. 423, No. 1, 456--479 (2015; Zbl 1325.37022) Full Text: DOI arXiv
Cáceres, María J.; Perthame, Benoît Beyond blow-up in excitatory integrate and fire neuronal networks: refractory period and spontaneous activity. (English) Zbl 1412.92001 J. Theor. Biol. 350, 81-89 (2014). MSC: 92B20 92C20 PDF BibTeX XML Cite \textit{M. J. Cáceres} and \textit{B. Perthame}, J. Theor. Biol. 350, 81--89 (2014; Zbl 1412.92001) Full Text: DOI
Buonocore, A.; Caputo, L.; Nobile, A. G.; Pirozzi, E. Gauss-Markov processes in the presence of a reflecting boundary and applications in neuronal models. (English) Zbl 1410.60079 Appl. Math. Comput. 232, 799-809 (2014). MSC: 60J60 60J70 92C20 PDF BibTeX XML Cite \textit{A. Buonocore} et al., Appl. Math. Comput. 232, 799--809 (2014; Zbl 1410.60079) Full Text: DOI
Barranca, Victor J.; Johnson, Daniel C.; Moyher, Jennifer L.; Sauppe, Joshua P.; Shkarayev, Maxim S.; Kovačič, Gregor; Cai, David Dynamics of the exponential integrate-and-fire model with slow currents and adaptation. (English) Zbl 1382.92038 J. Comput. Neurosci. 37, No. 1, 161-180 (2014). MSC: 92C20 PDF BibTeX XML Cite \textit{V. J. Barranca} et al., J. Comput. Neurosci. 37, No. 1, 161--180 (2014; Zbl 1382.92038) Full Text: DOI
Grabska-Barwińska, Agnieszka; Latham, Peter E. How well do mean field theories of spiking quadratic-integrate-and-fire networks work in realistic parameter regimes? (English) Zbl 1382.92058 J. Comput. Neurosci. 36, No. 3, 469-481 (2014). MSC: 92C20 PDF BibTeX XML Cite \textit{A. Grabska-Barwińska} and \textit{P. E. Latham}, J. Comput. Neurosci. 36, No. 3, 469--481 (2014; Zbl 1382.92058) Full Text: DOI
Zhang, Jiwei; Newhall, Katherine; Zhou, Douglas; Rangan, Aaditya Distribution of correlated spiking events in a population-based approach for integrate-and-fire networks. (English) Zbl 1382.92103 J. Comput. Neurosci. 36, No. 2, 279-295 (2014). MSC: 92C20 92C42 PDF BibTeX XML Cite \textit{J. Zhang} et al., J. Comput. Neurosci. 36, No. 2, 279--295 (2014; Zbl 1382.92103) Full Text: DOI
Vidybida, A. K. Output stream of a leaky integrate-and-fire neuron. (Ukrainian. English summary) Zbl 1324.35191 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 12, 18-23 (2014). MSC: 35Q92 92C20 PDF BibTeX XML Cite \textit{A. K. Vidybida}, Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2014, No. 12, 18--23 (2014; Zbl 1324.35191) Full Text: DOI
Droste, Felix; Lindner, Benjamin Integrate-and-fire neurons driven by asymmetric dichotomous noise. (English) Zbl 1359.92018 Biol. Cybern. 108, No. 6, 825-843 (2014). MSC: 92C20 82C31 60J65 PDF BibTeX XML Cite \textit{F. Droste} and \textit{B. Lindner}, Biol. Cybern. 108, No. 6, 825--843 (2014; Zbl 1359.92018) Full Text: DOI
Granados, A.; Krupa, M.; Clément, F. Border collision bifurcations of stroboscopic maps in periodically driven spiking models. (English) Zbl 1322.37016 SIAM J. Appl. Dyn. Syst. 13, No. 4, 1387-1416 (2014). Reviewer: Irina V. Konopleva (Ul’yanovsk) MSC: 37D50 37G15 34A37 34A38 PDF BibTeX XML Cite \textit{A. Granados} et al., SIAM J. Appl. Dyn. Syst. 13, No. 4, 1387--1416 (2014; Zbl 1322.37016) Full Text: DOI
Akhmet, M. Synchronization of the cardiac pacemaker model with delayed pulse-coupling. (English) Zbl 1300.34163 Discontin. Nonlinearity Complex. 3, No. 1, 19-31 (2014). MSC: 34K25 34C15 34D06 92C20 PDF BibTeX XML Cite \textit{M. Akhmet}, Discontin. Nonlinearity Complex. 3, No. 1, 19--31 (2014; Zbl 1300.34163) Full Text: DOI
Gontier, David; Vetterli, Martin Sampling based on timing: time encoding machines on shift-invariant subspaces. (English) Zbl 1336.94018 Appl. Comput. Harmon. Anal. 36, No. 1, 63-78 (2014). MSC: 94A12 94A15 PDF BibTeX XML Cite \textit{D. Gontier} and \textit{M. Vetterli}, Appl. Comput. Harmon. Anal. 36, No. 1, 63--78 (2014; Zbl 1336.94018) Full Text: DOI arXiv
Sirovich, Roberta; Sacerdote, Laura; Villa, Alessandro E. P. Cooperative behavior in a jump diffusion model for a simple network of spiking neurons. (English) Zbl 1279.60066 Math. Biosci. Eng. 11, No. 2, 385-401 (2014). MSC: 60G99 60K40 90B15 92B20 PDF BibTeX XML Cite \textit{R. Sirovich} et al., Math. Biosci. Eng. 11, No. 2, 385--401 (2014; Zbl 1279.60066) Full Text: DOI
Buonocore, Aniello; Caputo, Luigia; Pirozzi, Enrica; Carfora, Maria Francesca Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons. (English) Zbl 1279.60102 Math. Biosci. Eng. 11, No. 2, 189-201 (2014). MSC: 60J60 60J70 92-08 PDF BibTeX XML Cite \textit{A. Buonocore} et al., Math. Biosci. Eng. 11, No. 2, 189--201 (2014; Zbl 1279.60102) Full Text: DOI
Turova, Tatyana S. Structural phase transitions in neural networks. (English) Zbl 1279.60124 Math. Biosci. Eng. 11, No. 1, 139-148 (2014). MSC: 60K35 82C32 05C80 82B43 PDF BibTeX XML Cite \textit{T. S. Turova}, Math. Biosci. Eng. 11, No. 1, 139--148 (2014; Zbl 1279.60124) Full Text: DOI
Cupera, Jakub Diffusion approximation of neuronal models revisited. (English) Zbl 1279.60103 Math. Biosci. Eng. 11, No. 1, 11-25 (2014). MSC: 60J60 60J70 92C20 PDF BibTeX XML Cite \textit{J. Cupera}, Math. Biosci. Eng. 11, No. 1, 11--25 (2014; Zbl 1279.60103) Full Text: DOI
Sacerdote, Laura; Giraudo, Maria Teresa Stochastic integrate and fire models: a review on mathematical methods and their applications. (English) Zbl 1390.92032 Bachar, Mostafa (ed.) et al., Stochastic biomathematical models with applications to neuronal modeling. Berlin: Springer (ISBN 978-3-642-32156-6/pbk; 978-3-642-32157-3/ebook). Lecture Notes in Mathematics 2058, 99-148 (2013). MSC: 92C20 60J70 PDF BibTeX XML Cite \textit{L. Sacerdote} and \textit{M. T. Giraudo}, Lect. Notes Math. 2058, 99--148 (2013; Zbl 1390.92032) Full Text: DOI arXiv
Bizzarri, Federico; Brambilla, Angelo; Storti Gajani, Giancarlo Lyapunov exponents computation for hybrid neurons. (English) Zbl 1382.92040 J. Comput. Neurosci. 35, No. 2, 201-212 (2013). MSC: 92C20 37N25 34D20 PDF BibTeX XML Cite \textit{F. Bizzarri} et al., J. Comput. Neurosci. 35, No. 2, 201--212 (2013; Zbl 1382.92040) Full Text: DOI
Perthame, Benoît; Salort, Delphine On a voltage-conductance kinetic system for integrate & fire neural networks. (English) Zbl 1284.35103 Kinet. Relat. Models 6, No. 4, 841-864 (2013). MSC: 35B65 35Q84 62M45 82C32 92B20 PDF BibTeX XML Cite \textit{B. Perthame} and \textit{D. Salort}, Kinet. Relat. Models 6, No. 4, 841--864 (2013; Zbl 1284.35103) Full Text: DOI
Sacerdote, Laura; Zucca, Cristina Joint distribution of first exit times of a two dimensional Wiener process with jumps with application to a pair of coupled neurons. (English) Zbl 1308.92012 Math. Biosci. 245, No. 1, 61-69 (2013). MSC: 92B20 92C20 PDF BibTeX XML Cite \textit{L. Sacerdote} and \textit{C. Zucca}, Math. Biosci. 245, No. 1, 61--69 (2013; Zbl 1308.92012) Full Text: DOI
Hoppensteadt, Frank Heuristics for the Hodgkin-Huxley system. (English) Zbl 1308.92021 Math. Biosci. 245, No. 1, 56-60 (2013). MSC: 92C20 92B20 92C50 PDF BibTeX XML Cite \textit{F. Hoppensteadt}, Math. Biosci. 245, No. 1, 56--60 (2013; Zbl 1308.92021) Full Text: DOI
Jimenez, Nicolas D.; Mihalas, Stefan; Brown, Richard; Niebur, Ernst; Rubin, Jonathan Locally contractive dynamics in generalized integrate-and-fire neurons. (English) Zbl 1284.37030 SIAM J. Appl. Dyn. Syst. 12, No. 3, 1474-1514 (2013). Reviewer: Carlo Laing (Auckland) MSC: 37E05 92C20 92B25 34C25 34A37 PDF BibTeX XML Cite \textit{N. D. Jimenez} et al., SIAM J. Appl. Dyn. Syst. 12, No. 3, 1474--1514 (2013; Zbl 1284.37030) Full Text: DOI
Shiau, Liejune; Laing, Carlo R. Periodically forced piecewise-linear adaptive exponential integrate-and-fire neuron. (English) Zbl 1277.34060 Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1350171, 14 p. (2013). MSC: 34C60 92C20 34A36 34E15 70K40 34C25 70K50 PDF BibTeX XML Cite \textit{L. Shiau} and \textit{C. R. Laing}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 23, No. 10, Article ID 1350171, 14 p. (2013; Zbl 1277.34060) Full Text: DOI
Nicola, Wilten; Campbell, Sue Ann Bifurcations of large networks of two-dimensional integrate and fire neurons. (English) Zbl 1276.92018 J. Comput. Neurosci. 35, No. 1, 87-108 (2013). MSC: 92C20 37N25 34C60 34C23 PDF BibTeX XML Cite \textit{W. Nicola} and \textit{S. A. Campbell}, J. Comput. Neurosci. 35, No. 1, 87--108 (2013; Zbl 1276.92018) Full Text: DOI arXiv
Sharafi, Nahal; Benda, Jan; Lindner, Benjamin Information filtering by synchronous spikes in a neural population. (English) Zbl 1276.92023 J. Comput. Neurosci. 34, No. 2, 285-301 (2013); erratum ibid. 39, No. 1, 105-106 (2015). MSC: 92C20 PDF BibTeX XML Cite \textit{N. Sharafi} et al., J. Comput. Neurosci. 34, No. 2, 285--301 (2013; Zbl 1276.92023) Full Text: DOI
Catsigeras, Eleonora; Guiraud, Pierre Integrate and fire neural networks, piecewise contractive maps and limit cycles. (English) Zbl 1297.37042 J. Math. Biol. 67, No. 3, 609-655 (2013). Reviewer: Carlo Laing (Auckland) MSC: 37N25 92B20 34C15 34D06 PDF BibTeX XML Cite \textit{E. Catsigeras} and \textit{P. Guiraud}, J. Math. Biol. 67, No. 3, 609--655 (2013; Zbl 1297.37042) Full Text: DOI arXiv
Carrillo, José A.; González, María D. M.; Gualdani, Maria P.; Schonbek, Maria E. Classical solutions for a nonlinear Fokker-Planck equation arising in computational neuroscience. (English) Zbl 1282.35382 Commun. Partial Differ. Equations 38, No. 1-3, 385-409 (2013). MSC: 35Q84 35K61 35B44 PDF BibTeX XML Cite \textit{J. A. Carrillo} et al., Commun. Partial Differ. Equations 38, No. 1--3, 385--409 (2013; Zbl 1282.35382) Full Text: DOI arXiv
Henker, Stephan; Partzsch, Johannes; Schüffny, René Accuracy evaluation of numerical methods used in state-of-the-art simulators for spiking neural networks. (English) Zbl 1446.92052 J. Comput. Neurosci. 32, No. 2, 309-326 (2012). MSC: 92B20 PDF BibTeX XML Cite \textit{S. Henker} et al., J. Comput. Neurosci. 32, No. 2, 309--326 (2012; Zbl 1446.92052)
Kim, Hideaki; Richmond, Barry J.; Shinomoto, Shigeru Neurons as ideal change-point detectors. (English) Zbl 1446.92141 J. Comput. Neurosci. 32, No. 1, 137-146 (2012). MSC: 92C20 PDF BibTeX XML Cite \textit{H. Kim} et al., J. Comput. Neurosci. 32, No. 1, 137--146 (2012; Zbl 1446.92141)
Cai, David; Kovačič, Gregor; McLaughlin, David W.; Rangan, Aaditya V.; Shkarayev, Maxim S.; Tao, Louis The role of fluctuations in coarse-grained descriptions of neuronal networks. (English) Zbl 1277.82044 Commun. Math. Sci. 10, No. 1, 307-354 (2012). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 82C32 82C31 92C20 94C15 35Q20 PDF BibTeX XML Cite \textit{D. Cai} et al., Commun. Math. Sci. 10, No. 1, 307--354 (2012; Zbl 1277.82044) Full Text: DOI
Erola, Pau; Díaz-Guilera, Albert; Gómez, Sergio; Arenas, Alex Modeling international crisis synchronization in the world trade web. (English) Zbl 1268.91106 Netw. Heterog. Media 7, No. 3, 385-397 (2012). MSC: 91B60 91C20 05C82 PDF BibTeX XML Cite \textit{P. Erola} et al., Netw. Heterog. Media 7, No. 3, 385--397 (2012; Zbl 1268.91106) Full Text: DOI
Dipoppa, M.; Krupa, M.; Torcini, A.; Gutkin, B. S. Splay states in finite pulse-coupled networks of excitable neurons. (English) Zbl 1254.92008 SIAM J. Appl. Dyn. Syst. 11, No. 3, 864-894 (2012). MSC: 92C20 92B25 92C42 34C25 34C60 37N25 PDF BibTeX XML Cite \textit{M. Dipoppa} et al., SIAM J. Appl. Dyn. Syst. 11, No. 3, 864--894 (2012; Zbl 1254.92008) Full Text: DOI
Rosenbaum, Robert; Marpeau, Fabien; Ma, Jianfu; Barua, Aditya; Josić, Krešimir Finite volume and asymptotic methods for stochastic neuron models with correlated inputs. (English) Zbl 1303.92022 J. Math. Biol. 65, No. 1, 1-34 (2012). MSC: 92C20 65M08 65M75 PDF BibTeX XML Cite \textit{R. Rosenbaum} et al., J. Math. Biol. 65, No. 1, 1--34 (2012; Zbl 1303.92022) Full Text: DOI
Feichtinger, Hans G.; Príncipe, José C.; Romero, José Luis; Singh Alvarado, Alexander; Velasco, Gino Angelo Approximate reconstruction of bandlimited functions for the integrate and fire sampler. (English) Zbl 1262.94011 Adv. Comput. Math. 36, No. 1, 67-78 (2012). MSC: 94A12 94A20 41A30 PDF BibTeX XML Cite \textit{H. G. Feichtinger} et al., Adv. Comput. Math. 36, No. 1, 67--78 (2012; Zbl 1262.94011) Full Text: DOI arXiv
Akhmet, M. U. Self-synchronization of the integrate-and-fire pacemaker model with continuous couplings. (English) Zbl 1235.93029 Nonlinear Anal., Hybrid Syst. 6, No. 1, 730-740 (2012). MSC: 93A30 92C50 93C15 PDF BibTeX XML Cite \textit{M. U. Akhmet}, Nonlinear Anal., Hybrid Syst. 6, No. 1, 730--740 (2012; Zbl 1235.93029) Full Text: DOI
Touboul, Jonathan D.; Faugeras, Olivier D. A Markovian event-based framework for stochastic spiking neural networks. (English) Zbl 1446.92087 J. Comput. Neurosci. 31, No. 3, 485-507 (2011). MSC: 92B20 60J20 PDF BibTeX XML Cite \textit{J. D. Touboul} and \textit{O. D. Faugeras}, J. Comput. Neurosci. 31, No. 3, 485--507 (2011; Zbl 1446.92087)
Zbinden, Cyrille Leader neurons in leaky integrate and fire neural network simulations. (English) Zbl 1446.92098 J. Comput. Neurosci. 31, No. 2, 285-304 (2011). MSC: 92B20 PDF BibTeX XML Cite \textit{C. Zbinden}, J. Comput. Neurosci. 31, No. 2, 285--304 (2011; Zbl 1446.92098)
Monasson, Remi; Cocco, Simona Fast inference of interactions in assemblies of stochastic integrate-and-fire neurons from spike recordings. (English) Zbl 1446.92156 J. Comput. Neurosci. 31, No. 2, 199-227 (2011). MSC: 92C20 62P10 62F15 PDF BibTeX XML Cite \textit{R. Monasson} and \textit{S. Cocco}, J. Comput. Neurosci. 31, No. 2, 199--227 (2011; Zbl 1446.92156)
Thivierge, Jean-Philippe; Cisek, Paul Spiking neurons that keep the rhythm. (English) Zbl 1446.92083 J. Comput. Neurosci. 30, No. 3, 589-605 (2011). MSC: 92B20 92C20 92B25 PDF BibTeX XML Cite \textit{J.-P. Thivierge} and \textit{P. Cisek}, J. Comput. Neurosci. 30, No. 3, 589--605 (2011; Zbl 1446.92083)
Martiniuc, Aurel Vasile; Knoll, Alois; Zeck, Günther; Stürzl, Wolfgang Sharpening of directional selectivity from neural output of rabbit retina. (English) Zbl 1446.92153 J. Comput. Neurosci. 30, No. 2, 409-426 (2011). MSC: 92C20 PDF BibTeX XML Cite \textit{A. V. Martiniuc} et al., J. Comput. Neurosci. 30, No. 2, 409--426 (2011; Zbl 1446.92153)
Marzantowicz, Wacław; Signerska, Justyna Firing map of an almost periodic input function. (English) Zbl 1306.37098 Discrete Contin. Dyn. Syst. 2011, Suppl., 1032-1041 (2011). MSC: 37N25 37E45 92C20 PDF BibTeX XML Cite \textit{W. Marzantowicz} and \textit{J. Signerska}, Discrete Contin. Dyn. Syst. 2011, 1032--1041 (2011; Zbl 1306.37098) Full Text: Link
Cáceres, María J.; Carrillo, José A.; Perthame, Benoît Analysis of nonlinear noisy integrate & fire neuron models: blow-up and steady states. (English) Zbl 1259.35198 J. Math. Neurosci. 1, Paper No. 7 (2011). MSC: 35Q84 35K60 82C31 92B20 PDF BibTeX XML Cite \textit{M. J. Cáceres} et al., J. Math. Neurosci. 1, Paper No. 7 (2011; Zbl 1259.35198) Full Text: DOI arXiv