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Kirby, Robert M. (ed.) et al., Spectral and high order methods for partial differential equations, ICOSAHOM 2014. Selected papers from the ICOSAHOM conference, June 23–27, 2014, Salt Lake City, UT, USA. Cham: Springer (ISBN 978-3-319-19799-9/hbk; 978-3-319-19800-2/ebook). Lecture Notes in Computational Science and Engineering 106, 315-323 (2015).

Reviewer: Boris V. Loginov (Ul’yanovsk)

MSC: 35Q85 65M55 85A05

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Ge, Juhong; Xu, Jian

Double Hopf bifurcation in a four-neuron delayed system with inertial terms. (English) Zbl 1348.34125

Nonlinear Dyn. 82, No. 4, 1969-1978 (2015).

MSC: 34K18 34C25 37G10

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Laing, Carlo R.; Kevrekidis, Ioannis G.

Equation-free analysis of spike-timing-dependent plasticity. (English) Zbl 1345.92041

Biol. Cybern. 109, No. 6, 701-714 (2015).

MSC: 92C20 92C55

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Yi, Guosheng; Wang, Jiang; Tsang, Kai-Ming; Wei, Xile; Deng, Bin; Han, Chunxiao

Spike-frequency adaptation of a two-compartment neuron modulated by extracellular electric fields. (English) Zbl 1344.92044

Biol. Cybern. 109, No. 3, 287-306 (2015).

MSC: 92C20

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Rydzewski, Jakub; Nowak, Wieslaw; Nicosia, Giuseppe

Inferring pathological states in cortical neuron microcircuits. (English) Zbl 1343.92091

J. Theor. Biol. 386, 34-43 (2015).

MSC: 92C20

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Briant, Linford J. B.; Paton, Julian F. R.; Pickering, Anthony E.; Champneys, Alan R.

Modelling the vascular response to sympathetic postganglionic nerve activity. (English) Zbl 1339.92014

J. Theor. Biol. 371, 102-116 (2015).

MSC: 92C20 92C45

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Yu, Na; Canavier, Carmen C.

A mathematical model of a midbrain dopamine neuron identifies two slow variables likely responsible for bursts evoked by SK channel antagonists and terminated by depolarization block. (English) Zbl 1361.92017

J. Math. Neurosci. 5, Paper No. 5, 19 p. (2015).

MSC: 92C20 34C23

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Fgaier, Hedia; Mustafa, Ibrahim H. I.; Awad, Asmaa A. R.; Elkamel, Ali

Modeling the interaction between \(\beta\)-amyloid aggregates and choline acetyltransferase activity and its relation with cholinergic dysfunction through two-enzyme/two-compartment model. (English) Zbl 1335.92033

Comput. Math. Methods Med. 2015, Article ID 923762, 20 p. (2015).

MSC: 92C45 92C20

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Hou, Saing Paul; Haddad, Wassim M.; Meskin, Nader; Bailey, James M.

A mechanistic neural field theory of how anesthesia suppresses consciousness: synaptic drive dynamics, bifurcations, attractors, and partial state equipartitioning. (English) Zbl 1356.92018

J. Math. Neurosci. 5, Paper No. 20, 50 p. (2015).

MSC: 92C20 92C50

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Wang, Hongbin; Wang, Jingnan

Hopf-pitchfork bifurcation in a two-neuron system with discrete and distributed delays. (English) Zbl 1334.92027

Math. Methods Appl. Sci. 38, No. 18, 4967-4981 (2015).

MSC: 92B20 34K18 37G10

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Wu, Quanjun; Zhang, Hua; Xu, Li; Yan, Qing

Finite-time synchronization of general complex dynamical networks. (English) Zbl 1333.93031

Asian J. Control 17, No. 5, 1643-1653 (2015).

MSC: 93A15 93C15 93C10

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Song, Zigen; Xu, Jian; Zhen, Bin

Multitype activity coexistence in an inertial two-neuron system with multiple delays. (English) Zbl 1330.34125

Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1530040, 18 p. (2015).

MSC: 34K60 92C20 34K21 34K20 34K18 34K13 34K23

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Silva, Iacyel G.; Rosso, Osvaldo A.; Vermelho, Marcos V. D.; Lyra, Marcelo L.

Ghost stochastic resonance induced by a power-law distributed noise in the FitzHugh-Nagumo neuron model. (English) Zbl 1360.92032

Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 641-649 (2015).

MSC: 92C20 35Q92 35R60

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Dtchetgnia Djeundam, S. R.; Yamapi, R.; Filatrella, G.; Kofane, T. C.

Stability of the synchronized network of Hindmarsh-Rose neuronal models with nearest and global couplings. (English) Zbl 1329.37083

Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 545-563 (2015).

MSC: 37N25 34C15 34D06 92B20

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Urdapilleta, Eugenio

First-passage-time statistics of a Brownian particle driven by an arbitrary unidimensional potential with a superimposed exponential time-dependent drift. (English) Zbl 1333.82015

J. Phys. A, Math. Theor. 48, No. 50, Article ID 505001, 20 p. (2015).

Reviewer: Claudia Simionescu-Badea (Wien)

MSC: 82C24 82C31 82C32 35Q84 92C20

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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

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Cannon, Jonathan; Kopell, Nancy

The leaky oscillator: properties of inhibition-based rhythms revealed through the singular phase response curve. (English) Zbl 1371.92034

SIAM J. Appl. Dyn. Syst. 14, No. 4, 1930-1977 (2015).

MSC: 92C20 34C15 37N25 34E15

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Kurikawa, Tomoki; Kaneko, Kunihiko

Memories as bifurcations: realization by collective dynamics of spiking neurons under stochastic inputs. (English) Zbl 1368.92034

Neural Netw. 62, 25-31 (2015).

MSC: 92C20 92B20

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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

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Deng, Haiying; Zhou, Dongming; Nie, Rencan

Period characteristics analysis of pulse coupled neutral network. (Chinese. English summary) Zbl 1340.92003

J. Yunnan Univ., Nat. Sci. 37, No. 1, 26-30 (2015).

MSC: 92B20

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Glyzin, S. D.; Kolesov, A. Yu.; Rozov, N. Kh.

Self-excited relaxation oscillations in networks of impulse neurons. (English. Russian original) Zbl 1361.34093

Russ. Math. Surv. 70, No. 3, 383-452 (2015); translation from Usp. Mat. Nauk. 70, No. 3, 3-76 (2015).

Reviewer: Klaus R. Schneider (Berlin)

MSC: 34K60 34K26 92C20 34K13 34K20

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Vidybida, Alexander K.

Activity of excitatory neuron with delayed feedback stimulated with Poisson stream is non-Markov. (English) Zbl 1339.60053

J. Stat. Phys. 160, No. 6, 1507-1518 (2015).

MSC: 60G55 60K99 60G10 92C20 92B20 82C32

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Bhowmik, Samir Kumar

Error estimates for discontinuous Galerkin finite element methods for a neuron network model. (English) Zbl 1326.65176

Appl. Anal. 94, No. 10, 2011-2022 (2015).

MSC: 65R20 45G10 45K05 92B20

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Hooker, Giles; Lin, Kevin K.; Rogers, Bruce

Control theory and experimental design in diffusion processes. (English) Zbl 1327.62437

SIAM/ASA J. Uncertain. Quantif. 3, 234-264 (2015).

MSC: 62K05 62L05 93E20 92C20 92D25 49L20 49M25

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Hegab, Almoatazbellah M.; Salem, Noha M.; Radwan, Ahmed G.; Chua, Leon

Neuron model with simplified memristive ionic channels. (English) Zbl 1317.34104

Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 6, Article ID 1530017, 12 p. (2015).

MSC: 34C60 92C20 94C05

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Matsubara, Takashi; Torikai, Hiroyuki

Hardware-oriented neuron modeling approach by reconfigurable asynchronous cellar automaton. (English) Zbl 1315.92006

Ohira, Toru (ed.) et al., Mathematical approaches to biological systems. Networks, oscillations, and collective motions. Tokyo: Springer (ISBN 978-4-431-55443-1/hbk; 978-4-431-55444-8/ebook). 55-75 (2015).

MSC: 92B20 68T05

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Li, Songting; Zhou, Douglas; Cai, David

Analysis of the dendritic integration of excitatory and inhibitory inputs using cable models. (English) Zbl 1318.35137

Commun. Math. Sci. 13, No. 2, 565-575 (2015).

MSC: 35Q92 35C20 92C20

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Found 1,221 Documents (Results 401–500)

Reconstruction, identification and implementation methods for spiking neural circuits. (English) Zbl 1378.92001

Formation of autapse connected to neuron and its biological function. (English) Zbl 1367.92025

Analysis of two- and three-dimensional fractional-order Hindmarsh-Rose type neuronal models. (English) Zbl 1376.92013

Multithreaded stochastic PDES for reactions and diffusions in neurons. (English) Zbl 1373.92029

Output stream of leaky integrate-and-fire neuron without diffusion approximation. (English) Zbl 1364.82046

Mean field analysis of large-scale interacting populations of stochastic conductance-based spiking neurons using the Klimontovich method. (English) Zbl 1364.82045

The electrical activity of neurons subject to electromagnetic induction and Gaussian white noise. (English) Zbl 1362.34080

Synchronization dynamics of two heterogeneous chaotic Rulkov neurons with electrical synapses. (English) Zbl 1362.39025

An introduction to modeling neuronal dynamics. (English) Zbl 1382.92001

Synchronization of two identical and non-identical Rulkov models. (English) Zbl 1510.92051

Study on dynamic characteristics’ change of hippocampal neuron reduced models caused by the Alzheimer’s disease. (English) Zbl 1448.92063

Multiple coherence resonance and synchronization transitions induced by autaptic delay in Newman-Watts neuron networks. (English) Zbl 1471.92040

Integrator or coincidence detector: a novel measure based on the discrete reverse correlation to determine a neuron’s operational mode. (English) Zbl 1415.92048

Simulation neurotechnologies for advancing brain research: parallelizing large networks in NEURON. (English) Zbl 1414.92032

Effects of self-coupling and asymmetric output on metastable dynamical transient firing patterns in arrays of neurons with bidirectional inhibitory coupling. (English) Zbl 1415.92018

Improved system identification using artificial neural networks and analysis of individual differences in responses of an identified neuron. (English) Zbl 1415.92013

A novel approach to synchronization of nonlinearly coupled network systems with delays. (English) Zbl 1400.34087

Collapse of ordered spatial pattern in neuronal network. (English) Zbl 1400.92025

Multiple timescale mixed bursting dynamics in a respiratory neuron model. (English) Zbl 1382.92099

Modeling the effects of extracellular potassium on bursting properties in pre-Bötzinger complex neurons. (English) Zbl 1382.92037

Reliability of signal transmission in stochastic nerve axon equations. (English) Zbl 1382.92083

Nonlinear statistical data assimilation for \(\mathrm{HVC}_{\mathrm{RA}}\) neurons in the Avian song system. (English) Zbl 1382.92015

A single mechanism driving both inactivation and adaptation in rapidly adapting currents of DRG neurons? (English) Zbl 1382.92076

Encoding efficiency of suprathreshold stochastic resonance on stimulus-specific information. (English) Zbl 1377.94015

Canards in a minimal piecewise-linear square-wave burster. (English) Zbl 1375.92013

Application of Kalman filtering in single neuron PID control. (Chinese. English summary) Zbl 1374.93346

Short-term synaptic plasticity based network of stochastic Hodgkin-Huxely neurons. (Chinese. English summary) Zbl 1374.92019

Stability and Hopf bifurcation of Hindmarsh-Rose neuron model. (Chinese. English summary) Zbl 1374.34183

Control of a dendritic neuron driven by a phase-independent stimulation. (English) Zbl 1360.92025

Bursting and synchronization in a two-compartment model with current-feedback control. (English) Zbl 1354.34086

A theoretical study on the role of astrocytic activity in neuronal hyperexcitability by a novel neuron-glia mass model. (English) Zbl 1360.92027

Ill-posed point neuron models. (English) Zbl 1360.92030

Chaotic synchronization of time-delay coupled Hindmarsh-Rose neurons via nonlinear control. (English) Zbl 1349.34246

Codimension-two bifurcation and multistability coexistence in an inertial two-neuron system with multiple delays. (English) Zbl 1349.34290

Stability and Hopf bifurcation analysis in Hindmarsh-Rose neuron model with multiple time delays. (English) Zbl 1349.34334

A model based rule for selecting spiking thresholds in neuron models. (English) Zbl 1348.92038

Fluctuation scaling in neural spike trains. (English) Zbl 1362.92014

Efficient information transfer by Poisson neurons. (English) Zbl 1348.62014

The effect of positive interspike interval correlations on neuronal information transmission. (English) Zbl 1348.93241

Noise-enhanced transmission of time-modulated neurotransmitter random point trains in a noisy neuron. (English) Zbl 1350.92007

Astrocytic gliotransmitter: diffusion dynamics and induction of information processing on tripartite synapses. (English) Zbl 1345.34084

A fast Eulerian approach for computation of global isochrons in high dimensions. (English) Zbl 1372.65331

Reconstruction of the input signal of the leaky integrate-and-fire neuronal model from its interspike intervals. (English) Zbl 1345.92091

What can trigger the onset of Parkinson’s disease – A modeling study based on a compartmental model of \(\alpha\)-synuclein transport and aggregation in neurons. (English) Zbl 1346.92018

Human T cells in silico: modelling their electrophysiological behaviour in health and disease. (English) Zbl 1343.92145

Deterministic neurodynamics. Mathematics – pulsed dynamic neural network systems. (Neurodinámica determinista. Matemática – sistemas dinámicos redes neuronales acopladas por impulsos.) (Spanish) Zbl 1343.92001

Bogdanov-Takens singularity of a neural network model with delay. (English) Zbl 1341.92006

A locally adaptive time stepping algorithm for the solution to reaction diffusion equations on branched structures. (English) Zbl 1341.65032

From a microscopic to a macroscopic model for Alzheimer disease: two-scale homogenization of the Smoluchowski equation in perforated domains. (English) Zbl 1342.35408

Spatio-temporal dynamics of a cylindrical neuron subject to a stochastic noise. (English) Zbl 1334.60125

Ergodicity for a stochastic Hodgkin-Huxley model driven by Ornstein-Uhlenbeck type input. (English. French summary) Zbl 1335.60091

Iterative learning control algorithm for spiking behavior of neuron model. (English) Zbl 1331.81412

Analysis of interspike-intervals for the general class of integrate-and-fire models with periodic drive. (English) Zbl 1488.37032

Eventual dissipativeness and synchronization of nonlinearly coupled dynamical network of Hindmarsh-Rose neurons. (English) Zbl 1443.92014

A sparse reformulation of the Green’s function formalism allows efficient simulations of morphological neuron models. (English) Zbl 1414.92129

Accuracy and efficiency in fixed-point neural ODE solvers. (English) Zbl 1472.92020

A reward-maximizing spiking neuron as a bounded rational decision maker. (English) Zbl 1414.91112

An empirical model for reliable spiking activity. (English) Zbl 1414.92124

Neuronal calcium wave propagation varies with changes in endoplasmic reticulum parameters: a computer model. (English) Zbl 1414.92110

Spontaneous action potentials and neural coding in unmyelinated axons. (English) Zbl 1414.92113

Two-trace model for spike-timing-dependent synaptic plasticity. (English) Zbl 1414.92088

Spike train similarity space (SSIMS): a framework for single neuron and ensemble data analysis. (English) Zbl 1414.92122

Functional consequences of age-related morphologic changes to pyramidal neurons of the rhesus monkey prefrontal cortex. (English) Zbl 1409.92033

Dendritic morphology predicts pattern recognition performance in multi-compartmental model neurons with and without active conductances. (English) Zbl 1409.92037

A computational model of urinary bladder smooth muscle syncytium. Validation and investigation of electrical properties. (English) Zbl 1409.92028

A neuron model of stochastic resonance using rectangular pulse trains. (English) Zbl 1409.92035

Periodic orbits of a neuron model with periodic internal decay rate. (English) Zbl 1410.39023

Periodic synchronization control of discontinuous delayed networks by using extended Filippov-framework. (English) Zbl 1396.93059

Study on the complex neuron model’s reduction and its dynamic characteristics. (English) Zbl 1401.92036

Statistical structure of neural spiking under non-Poissonian or other non-white stimulation. (English) Zbl 1382.92085

Interspike interval correlation in a stochastic exponential integrate-and-fire model with subthreshold and spike-triggered adaptation. (English) Zbl 1382.92089

Effects of network structure on the synchronizability of nonlinearly coupled Hindmarsh-Rose neurons. (English) Zbl 1361.34061

The influence of single neuron dynamics and network topology on time delay-induced multiple synchronous behaviors in inhibitory coupled network. (English) Zbl 1354.92006

Sparse modal tau-method for helical binary neuron stars. (English) Zbl 1352.35189