George Bard Ermentrout
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Why Is George Bard Ermentrout Influential?
(Suggest an Edit or Addition)According to Wikipedia, G. Bard Ermentrout is an American mathematician and distinguished professor at University of Pittsburgh and a member of the Odor2Action research network. He uses nonlinear dynamics for the mathematical modeling of problems in neuroscience. He explores patterns of activation in neural systems as they relate to biological problems such as olfaction.
George Bard Ermentrout's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Simulating, analyzing, and animating dynamical systems - a guide to XPPAUT for researchers and students (2002) (1817)
- Analysis of neural excitability and oscillations (1989) (1129)
- Mathematical foundations of neuroscience (2010) (1045)
- Gamma rhythms and beta rhythms have different synchronization properties. (2000) (1038)
- Type I Membranes, Phase Resetting Curves, and Synchrony (1996) (976)
- Inhibition-based rhythms: experimental and mathematical observations on network dynamics. (2000) (857)
- Simulation of networks of spiking neurons: A review of tools and strategies (2006) (797)
- Cellular automata approaches to biological modeling. (1993) (725)
- Dynamic patterns: The self-organization of brain and behavior (1997) (694)
- Neural networks as spatio-temporal pattern-forming systems (1998) (649)
- When inhibition not excitation synchronizes neural firing (1994) (617)
- Parabolic bursting in an excitable system coupled with a slow oscillation (1986) (544)
- Amplitude response of coupled oscillators (1990) (470)
- Frequency Plateaus in a Chain of Weakly Coupled Oscillators, I. (1984) (430)
- Traveling Electrical Waves in Cortex Insights from Phase Dynamics and Speculation on a Computational Role (2001) (399)
- A mathematical theory of visual hallucination patterns (1979) (392)
- Multiple pulse interactions and averaging in systems of coupled neural oscillators (1991) (383)
- On the human sensorimotor-cortex beta rhythm: Sources and modeling (2005) (362)
- Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. (2004) (328)
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses (2001) (314)
- Bistability in apoptosis: roles of bax, bcl-2, and mitochondrial permeability transition pores. (2006) (306)
- Symmetry and phaselocking in chains of weakly coupled oscillators (1986) (305)
- Fine structure of neural spiking and synchronization in the presence of conduction delays. (1998) (277)
- Multiple Bumps in a Neuronal Model of Working Memory (2002) (262)
- Existence and uniqueness of travelling waves for a neural network (1993) (258)
- The Effects of Spike Frequency Adaptation and Negative Feedback on the Synchronization of Neural Oscillators (2001) (253)
- An adaptive model for synchrony in the firefly Pteroptyx malaccae (1991) (248)
- Coupled oscillators and the design of central pattern generators (1988) (248)
- Reliability, synchrony and noise (2008) (247)
- Oscillator death in systems of coupled neural oscillators (1990) (245)
- Linearization of F-I Curves by Adaptation (1998) (226)
- Modelling of intersegmental coordination in the lamprey central pattern generator for locomotion (1992) (225)
- Efficient estimation of phase-resetting curves in real neurons and its significance for neural-network modeling. (2005) (217)
- Dynamics of Membrane Excitability Determine Interspike Interval Variability: A Link Between Spike Generation Mechanisms and Cortical Spike Train Statistics (1998) (211)
- Principles of brain functioning: A synergetic approach to brain activity, behavior, and cognition (1997) (207)
- Phase-response curves give the responses of neurons to transient inputs. (2005) (206)
- Synchrony, stability, and firing patterns in pulse-coupled oscillators (2002) (204)
- Correlation-Induced Synchronization of Oscillations in Olfactory Bulb Neurons (2006) (202)
- Turning On and Off with Excitation: The Role of Spike-Timing Asynchrony and Synchrony in Sustained Neural Activity (2001) (173)
- Phase-response curves and synchronized neural networks (2010) (170)
- Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses (2001) (168)
- Oscillator death in populations of “all to all” coupled nonlinear oscillators (1990) (167)
- Testing Turing’s theory of morphogenesis in chemical cells (2014) (167)
- Uniqueness of flow of a second-order fluid past a stretching sheet (1987) (159)
- Reduction of Conductance-Based Models with Slow Synapses to Neural Nets (1994) (159)
- Propagating activity patterns in large-scale inhibitory neuronal networks. (1998) (157)
- Glutamate Receptor Subtypes Mediating Synaptic Activation of Prefrontal Cortex Neurons: Relevance for Schizophrenia (2011) (151)
- Synchronization in a pool of mutually coupled oscillators with random frequencies (1985) (150)
- Phase transition and other phenomena in chains of coupled oscilators (1990) (149)
- Forcing of coupled nonlinear oscillators: studies of intersegmental coordination in the lamprey locomotor central pattern generator. (1990) (135)
- Stripes or spots? Nonlinear effects in bifurcation of reaction—diffusion equations on the square (1991) (135)
- The behavior of rings of coupled oscillators (1985) (129)
- Stable periodic solutions to discrete and continuum arrays of weakly coupled nonlinear oscillators (1992) (126)
- Multiple rhythmic states in a model of the respiratory central pattern generator. (2009) (126)
- Chapter 1 - Mechanisms of Phase-Locking and Frequency Control in Pairs of Coupled Neural Oscillators* (2002) (125)
- Large Scale Spatially Organized Activity in Neural Nets (1980) (124)
- Spike Frequency Adaptation Affects the Synchronization Properties of Networks of Cortical Oscillators (1998) (119)
- A quantitative population model of whisker barrels: Re-examining the Wilson-Cowan equations (1996) (119)
- Temporal oscillations in neuronal nets (1979) (117)
- A MODEL FOR SHELL PATTERNS BASED ON NEURAL ACTIVITY (1986) (116)
- Dynamics of single-motor molecules: the thermal ratchet model. (1992) (113)
- n:m Phase-locking of weakly coupled oscillators (1981) (110)
- The Role of Axonal Delay in the Synchronization of Networks of Coupled Cortical Oscillators (1997) (108)
- Stochastic phase reduction for a general class of noisy limit cycle oscillators. (2009) (106)
- Actomyosin meshwork mechanosensing enables tissue shape to orient cell force (2017) (106)
- On chains of oscillators forced at one end (1991) (98)
- Inhibition-Produced Patterning in Chains of Coupled Nonlinear Oscillators (1994) (97)
- Class-II neurons display a higher degree of stochastic synchronization than class-I neurons. (2008) (97)
- Continuous and lurching traveling pulses in neuronal networks with delay and spatially decaying connectivity. (1999) (96)
- Relating neural dynamics to neural coding. (2007) (95)
- Complex dynamics in winner-take-all neural nets with slow inhibition (1992) (92)
- Dynamics of limit-cycle oscillators subject to general noise. (2009) (90)
- On the origin and dynamics of the vasomotion of small arteries. (1994) (86)
- The neural origins of shell structure and pattern in aquatic mollusks (2009) (85)
- Optimal time scale for spike-time reliability: theory, simulations, and experiments. (2008) (85)
- Review of Sync : The Emerging Science of Spontaneous Order (2003) (80)
- Inflammatory modulation of hepatocyte apoptosis by nitric oxide: in vivo, in vitro, and in silico studies. (2004) (79)
- Modeling neural oscillations (2002) (77)
- The Analysis of Synaptically Generated Traveling Waves (1998) (77)
- Wandering Bumps in Stochastic Neural Fields (2012) (75)
- Canards, Clusters, and Synchronization in a Weakly Coupled Interneuron Model (2009) (75)
- Translational Systems Approaches to the Biology of Inflammation and Healing (2010) (74)
- Analysis of a Canard Mechanism by Which Excitatory Synaptic Coupling Can Synchronize Neurons at Low Firing Frequencies (2004) (73)
- Type-II phase resetting curve is optimal for stochastic synchrony. (2009) (73)
- Activation and Repolarization Patterns are Governed by Different Structural Characteristics of Ventricular Myocardium: (1996) (71)
- Rotary DNA motors. (1995) (69)
- Bistability in pulse propagation in networks of excitatory and inhibitory populations. (2001) (69)
- Synchrony arising from a balanced synaptic plasticity in a network of heterogeneous neural oscillators. (2002) (68)
- Stable Rotating Waves in Two-Dimensional Discrete Active Media (1994) (68)
- Mathematical neuroscience: from neurons to circuits to systems (2003) (67)
- A Mathematical Model of the Pancreatic Duct Cell Generating High Bicarbonate Concentrations in Pancreatic Juice (2004) (66)
- Models for the length distributions of actin filaments: I. Simple polymerization and fragmentation (1998) (64)
- Sparse Gamma Rhythms Arising through Clustering in Adapting Neuronal Networks (2011) (63)
- Effects of axonal time delay on synchronization and wave formation in sparsely coupled neuronal oscillators. (2007) (63)
- Trail following in ants: individual properties determine population behaviour (1995) (62)
- Spike Generating Dynamics and the Conditions for Spike-Time Precision in Cortical Neurons (2003) (62)
- Models for contact-mediated pattern formation: cells that form parallel arrays (1990) (61)
- Using a Mathematical Model to Analyze the Role of Probiotics and Inflammation in Necrotizing Enterocolitis (2009) (60)
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates (2018) (59)
- A Model for the Origin and Properties of Flicker-Induced Geometric Phosphenes (2011) (59)
- Stochastic dynamics of uncoupled neural oscillators: Fokker-Planck studies with the finite element method. (2007) (59)
- Partially locked states in coupled oscillators due to inhomogeneous coupling. (2008) (58)
- Delays and weakly coupled neuronal oscillators (2009) (57)
- The variance of phase-resetting curves (2011) (57)
- Phase-response curves of coupled oscillators. (2008) (57)
- Propagating Activity Patterns in Thalamic Neuronal Networks (2001) (54)
- Secondary Bifurcation in Neuronal Nets (1980) (53)
- Models for branching networks in two dimensions (1989) (53)
- Dendritic and Synaptic Effects in Systems of Coupled Cortical Oscillators (1998) (52)
- Beyond a pacemaker's entrainment limit: phase walk-through. (1984) (52)
- Reflected Waves in an Inhomogeneous Excitable Medium (1996) (50)
- Functional Maturation of GABA Synapses During Postnatal Development of the Monkey Dorsolateral Prefrontal Cortex. (2015) (50)
- Minimal model of oscillations and waves in the Limax olfactory lobe with tests of the model's predictive power. (1998) (50)
- Synchronization dynamics of two coupled neural oscillators receiving shared and unshared noisy stimuli (2009) (50)
- Learning of Phase Lags in Coupled Neural Oscillators (1994) (49)
- Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation (2004) (47)
- Persistent synchronized bursting activity in cortical tissues with low magnesium concentration: a modeling study. (2006) (46)
- The evolution of synaptically generated waves in one- and two-dimensional domains (2002) (46)
- Phase resetting and coupling of noisy neural oscillators (2006) (46)
- Finite-size and correlation-induced effects in mean-field dynamics (2010) (46)
- Optimizing Working Memory with Heterogeneity of Recurrent Cortical Excitation (2013) (46)
- Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics (2014) (45)
- Neurons as oscillators. (2016) (45)
- A Kinetic Thermodynamics Approach to the Psychology of Fluctuations in Financial Markets (1990) (45)
- Slow excitation supports propagation of slow pulses in networks of excitatory and inhibitory populations. (2002) (44)
- Stimulus-Driven Traveling Solutions in Continuum Neuronal Models with a General Smooth Firing Rate Function (2010) (43)
- Intrinsic heterogeneity in oscillatory dynamics limits correlation-induced neural synchronization. (2012) (43)
- The inflammatory response to influenza A virus (H1N1): An experimental and mathematical study. (2015) (42)
- Adjoint method provides phase response functions for delay-induced oscillations. (2012) (42)
- Multiple coupling in chains of oscillators (1990) (42)
- Model for olfactory discrimination and learning in Limax procerebrum incorporating oscillatory dynamics and wave propagation. (2001) (41)
- Transition fronts and localized structures in bistable reaction-diffusion equations (1997) (40)
- Phase locking in chains of multiple-coupled oscillators (2000) (40)
- Selecting a common direction. II. Peak-like solutions representing total alignment of cell clusters. (1996) (40)
- Working Memory Cells' Behavior May Be Explained by Cross-Regional Networks with Synaptic Facilitation (2009) (40)
- Subcellular oscillations and bursting (1986) (39)
- Models for the length distributions of actin filaments: II. Polymerization and fragmentation by gelsolin acting together (1998) (39)
- A model for actin-filament length distribution in a lamellipod (2001) (38)
- The Correlation Ratchet: A Novel Mechanism for Generating Directed Motion by ATP Hydrolysis (1994) (37)
- Effects of delay on the type and velocity of travelling pulses in neuronal networks with spatially decaying connectivity (2000) (37)
- Models for spatial polymerization dynamics of rod-like polymers (2000) (37)
- A mathematical model of intrahost pneumococcal pneumonia infection dynamics in murine strains. (2014) (35)
- Impact of neuronal heterogeneity on correlated colored noise-induced synchronization (2013) (35)
- The Shape of Phase-Resetting Curves in Oscillators with a Saddle Node on an Invariant Circle Bifurcation (2012) (34)
- Information-theoretic analysis of realistic odor plumes: What cues are useful for determining location? (2018) (34)
- A model of ocular dominance column development by competition for trophic factor. (1997) (34)
- Regular Traveling Waves in a One-Dimensional Network of Theta Neurons (2002) (34)
- Gap junctions destroy persistent states in excitatory networks. (2006) (34)
- Model for Transition from Waves to Synchrony in the Olfactory Lobe of Limax (2004) (33)
- Weakly coupled oscillators in a slowly varying world (2016) (33)
- Population dynamics of the modified theta model: macroscopic phase reduction and bifurcation analysis link microscopic neuronal interactions to macroscopic gamma oscillation (2014) (32)
- Computational Insights on the Competing Effects of Nitric Oxide in Regulating Apoptosis (2008) (31)
- Pattern formation in systems with one spatially distributed species (1997) (31)
- Large Amplitude Stationary Waves in an Excitable Lateral-Inhibitory Medium (1984) (30)
- Bifurcations in the Wilson-Cowan Equations with Nonsmooth Firing Rate (2015) (30)
- Predicting synchronized neural assemblies from experimentally estimated phase-resetting curves (2006) (30)
- Mathematical modeling in necrotizing enterocolitis--a new look at an ongoing problem. (2007) (30)
- The Existence of Spiral Waves in an Oscillatory Reaction-Diffusion System (1994) (30)
- Computational study of NMDA conductance and cortical oscillations in schizophrenia (2014) (30)
- Reliability and stochastic synchronization in type I vs. type II neural oscillators (2007) (29)
- A model for complex sequence learning and reproduction in neural populations (2012) (29)
- Two dimensional synaptically generated traveling waves in a theta-neuron neural network (2001) (28)
- Macroscopic phase-resetting curves for spiking neural networks. (2017) (28)
- Period Doublings and Possible Chaos in Neural Models (1984) (28)
- Phaselocking in a reaction-diffusion system with a linear frequency gradient (1986) (28)
- Stable small-amplitude solutions in reaction-diffusion systems (1981) (27)
- Pattern Formation in an Array of Oscillators with Electrical and Chemical Coupling (2007) (27)
- Neural Nets as Spatio-temporal Pattern Forming Systems (1997) (27)
- Oscillations in working memory and neural binding: A mechanism for multiple memories and their interactions (2018) (27)
- Ermentrout-Kopell canonical model (2008) (26)
- Augmented Phase Reduction of (Not So) Weakly Perturbed Coupled Oscillators (2019) (26)
- Numerical studies of differential equations related to theoretical financial markets (1991) (25)
- Monotonicity of phaselocked solutions in chains and arrays of nearest-neighbor coupled oscillators (1998) (24)
- Recent advances in coupled oscillator theory (2019) (24)
- Phase Response Curves to Measure Ion Channel Effects on Neurons (2012) (24)
- Mouse navigation strategies for odor source localization (2019) (24)
- Layer 3 patchy recurrent excitatory connections may determine the spatial organization of sustained activity in the primate prefrontal cortex (2000) (24)
- Phase model (2008) (23)
- Multiple-spike waves in a one-dimensional integrate-and-fire neural network (2004) (23)
- Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation (2014) (23)
- Evolution of patterns on Conus shells (2012) (22)
- Oscillations in a refractory neural net (2001) (22)
- Phase-locked patterns of the Kuramoto model on 3-regular graphs. (2015) (22)
- Pattern Formation in a Model of Acute Inflammation (2012) (22)
- Local Spatial and Temporal Processes of Influenza in Pennsylvania, USA: 2003–2009 (2012) (20)
- Phase-resetting curve determines how BK currents affect neuronal firing (2011) (20)
- Correlation transfer in stochastically driven neural oscillators over long and short time scales. (2011) (20)
- Nonlinear Coupling near a Degenerate Hopf (Bautin) Bifurcation (2003) (20)
- Hallucinogen persisting perception disorder in neuronal networks with adaptation (2012) (20)
- Wave Propagation Mediated by GABAB Synapse and Rebound Excitation in an Inhibitory Network: A Reduced Model Approach (1998) (20)
- Modeling neuropathologies as disruption of normal sequence generation in working memory networks (2012) (18)
- An Operational Definition of Phase Characterizes the Transient Response of Perturbed Limit Cycle Oscillators (2018) (18)
- Balancing organization and flexibility in foraging dynamics. (2010) (18)
- Contact response of cells can mediate morphogenetic pattern formation. (1990) (18)
- Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity (2015) (17)
- New patterns of activity in a pair of interacting excitatory-inhibitory neural fields. (2011) (17)
- Sensory dynamics of visual hallucinations in the normal population (2016) (17)
- 5 – An Introduction to Neural Oscillators (1994) (17)
- Dynamical Consequences of Fast-Rising, Slow-Decaying Synapses in Neuronal Networks (2003) (17)
- Coupling regularizes individual units in noisy populations. (2010) (16)
- Phase Models Beyond Weak Coupling. (2019) (16)
- Complex Times for Earthquakes, Stocks, and the Brain's Activity (2010) (16)
- A homeostatic rule for inhibitory synapses promotes temporal sharpening and cortical reorganization (2006) (16)
- Local Variations in Spatial Synchrony of Influenza Epidemics (2012) (15)
- Response of traveling waves to transient inputs in neural fields. (2012) (15)
- Analysis of Recurrent Networks of Pulse-Coupled Noisy Neural Oscillators (2010) (15)
- Phase Resetting Neural Oscillators: Topological Theory Versus the RealWorld (2012) (15)
- In vivo, in vitro, and in silico studies suggest a conserved immune module that regulates malaria parasite transmission from mammals to mosquitoes. (2013) (14)
- Emergent Dynamical Properties of the BCM Learning Rule (2017) (14)
- A model of cardiac ryanodine receptor gating predicts experimental Ca2+-dynamics and Ca2+-triggered arrhythmia in the long QT syndrome. (2017) (14)
- Phase-plane analysis of neural activity (1998) (14)
- Optogenetic Stimulation Shifts the Excitability of Cerebral Cortex from Type I to Type II: Oscillation Onset and Wave Propagation (2017) (14)
- Neuroscience: Spikes too kinky in the cortex? (2006) (14)
- Noise-Induced Synchronization and Antiresonance in Interacting Excitable Systems: Applications to Deep Brain Stimulation in Parkinson’s Disease (2020) (14)
- Analysis of synchronization in a slowly changing environment: how slow coupling becomes fast weak coupling. (2013) (13)
- Bifurcations of Stationary Solutions in an Interacting Pair of E-I Neural Fields (2012) (13)
- Asymptotic Behavior of Stationary Homogeneous Neuronal Nets (1982) (13)
- Losing Amplitude and Saving Phase (1986) (13)
- Immune response to influenza A (2008) (13)
- Relationship between the mechanisms of gamma rhythm generation and the magnitude of the macroscopic phase response function in a population of excitatory and inhibitory modified quadratic integrate-and-fire neurons. (2018) (13)
- Erratum: Testing Turing's theory of morphogenesis in chemical cells (Proceedings of the National Academy of Sciences of the United States of America (2014) 111:12 (4397-4402) DOI:10.1073/pnas.1322005111) (2014) (13)
- Analytic approximations of statistical quantities and response of noisy oscillators (2011) (13)
- Olfactory Navigation and the Receptor Nonlinearity (2019) (13)
- The rhythms of steady posture: Motor commands as spatially organized oscillation patterns (2015) (12)
- Amplification of Asynchronous Inhibition-Mediated Synchronization by Feedback in Recurrent Networks (2010) (12)
- Amplification of asynchronous inhibition-mediated synchronization by feedback in recurrent networks (2010) (12)
- Transition matrix model for evolutionary game dynamics. (2016) (12)
- One-dimensional λ-ω target patterns: Empirical stability tests (1980) (12)
- Compartmental Model Suggests Importance of Innate Immune Response to COVID-19 Infection in Rhesus Macaques (2021) (11)
- A heuristic description of spiral wave instability in discrete media (1995) (11)
- The mechanisms for compression and reflection of cortical waves (2011) (11)
- Bistability between synchrony and incoherence in limit-cycle oscillators with coupling strength inhomogeneity. (2008) (11)
- Effects of dopaminergic modulation of persistent sodium currents on the excitability of prefrontal cortical neurons: A computational study (1999) (11)
- Discrete Dynamical Modeling of Influenza Virus Infection Suggests Age-Dependent Differences in Immunity (2017) (11)
- The Hodgkin–Huxley Equations (2010) (11)
- A Comparison between Mouse, In Silico, and Robot Odor Plume Navigation Reveals Advantages of Mouse Odor Tracking (2020) (11)
- Spiral Waves in Spatially Discrete λ-ω Systems (1998) (10)
- Mouse Navigation Strategies for Odor Source Localization (2020) (10)
- Reliability, discriminability and stochastic synchronization of olfactory neurons (2006) (10)
- Waves and Patterns on Regular Graphs (2015) (10)
- Traveling waves in a one-dimensional integrate-and-fire neural network with finite support connectivity (2003) (10)
- The Utility of Phase Models in Studying Neural Synchronization (2017) (9)
- A Model of Ocular Dominance Column Development by Competition for Trophic Factor: Effects of Excess Trophic Factor with Monocular Deprivation and Effects of Antagonist of Trophic Factor (2000) (9)
- Pattern formation in oscillatory media without lateral inhibition. (2016) (8)
- An Introduction to Simulation and Visualization of Biological Systems at Multiple Scales: A Summer Training Program for Interdisciplinary Research (2006) (8)
- Noise-induced synchronization and anti-resonance in excitable systems; Implications for information processing in Parkinson's Disease and Deep Brain Stimulation. (2019) (8)
- Emergent mechanics of actomyosin drive punctuated contractions and shape network morphology in the cell cortex (2018) (8)
- From working memory to epilepsy: dynamics of facilitation and inhibition in a cortical network. (2009) (8)
- Neural oscillators (1994) (7)
- Wave Formation through the Interactions between Clustered States and Local Coupling in Arrays of Neural Oscillators (2008) (7)
- A Three-Tiered Study of Differences in Murine Intrahost Immune Response to Multiple Pneumococcal Strains (2015) (7)
- When is sync globally stable in sparse networks of identical Kuramoto oscillators? (2018) (7)
- Simplifying and reducing complex models (2002) (7)
- Multiple Rhythmic States in a Model of the Respiratory CPG (2009) (7)
- Firing Rate Models (2010) (7)
- Mechanochemical coupling in ATPase motors (1994) (7)
- Subbarrel Patterns in Somatosensory Cortical Barrels Can Emerge from Local Dynamic Instabilities (2009) (6)
- Phase Boundaries as Electrically Induced Phosphenes (2006) (6)
- Detecting instabilities of cardiac rhythm. (2003) (6)
- Model of the Early Development of Thalamo-Cortical Connections and Area Patterning via Signaling Molecules (2004) (6)
- The uniqueness and stability of the rest state for strongly coupled oscillators (1989) (6)
- From cognitive networks to seizures: stimulus evoked dynamics in a coupled cortical network. (2013) (6)
- On the physiological basis of the 15-30 Hz motor-cortex rhythm (2002) (6)
- Mathematical Simulations of Sepsis and Trauma (2005) (6)
- Autowave Processes in Kinetic Systems: Spatial and Temporal Self-Organization in Physics, Chemistry, Biology, and Medicine (V. A. Vasiliev, Yu. M. Romanovskii, D. S. Chernavskii, and V. G. Yakhno) (1989) (6)
- Phase Response Curves Determine the Responses of Neurons to Transient Inputs (6)
- Development of joint ocular dominance and orientation selectivity maps in a correlation-based neural network model (2002) (5)
- Mathematical modelling of central pattern generators (1989) (5)
- Phaseplane, Version 3.0 (1990) (5)
- Stimulus features, resetting curves, and the dependence on adaptation (2013) (5)
- A Boundary Value Approach to Optimization with an Application to Salmonella Competition (2015) (5)
- Spatially Localized Synchronous Oscillations in Synaptically Coupled Neuronal Networks: Conductance-based Models and Discrete Maps (2010) (4)
- The dynamics of a forced coupled network of active elements (2011) (4)
- Formation of antiwaves in gap-junction-coupled chains of neurons. (2012) (4)
- Traveling waves in a spatially-distributed Wilson-Cowan model of cortex: From fronts to pulses (2018) (4)
- Stochastic Pacing Inhibits Spatially Discordant Cardiac Alternans. (2017) (4)
- A multiscale multicellular spatiotemporal model of local influenza infection and immune response (2021) (4)
- Chapter 2 Phase Resetting Neural Oscillators : Topological Theory Versus the Real World (2017) (4)
- Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation (2018) (4)
- Direction-selective motion discrimination by traveling waves in visual cortex (2020) (4)
- Trigger wave fronts of rapid consumption in a Belousov-Zhabotinskii system (1982) (4)
- Stimulus-driven Traveling Waves in a Neuronal Model (2010) (4)
- Sequentially firing neurons confer flexible timing in neural pattern generators. (2011) (3)
- Olfactory Navigation in the Real World: Simple Local Search Strategies for Turbulent Environments. (2021) (3)
- Stochastic Network Models in Neuroscience: A Festschrift for Jack Cowan. Introduction to the Special Issue (2016) (3)
- Speed-up methods for simulations of traveling waves in integrate-and-fire neural networks (2003) (3)
- Modeling Host–Vector–Pathogen Immuno-inflammatory Interactions in Malaria (2013) (3)
- A multiple timescales approach to bridging spiking- and population-level dynamics. (2018) (3)
- Traveling waves in non-local pulse-coupled networks (2021) (3)
- Periodic Traveling Waves in a One-Dimensional Integrate-and-Fire Neural Network (2002) (3)
- Qualitative Effects of Monovalent Vaccination Against Rotavirus: A Comparison of North America and South America (2015) (3)
- ELLIPTIC BURSTERS, DEPOLARIZATION BLOOK, AND WAVES (2005) (3)
- Comment on "Phase Reduction of Stochastic Limit Cycle Oscillators" (2008) (3)
- Interactions of solitary pulses of E. coli in a one-dimensional nutrient gradient (2017) (3)
- The mathematics of biological oscillators. (1994) (3)
- BioSimulators: a central registry of simulation engines and services for recommending specific tools (2022) (3)
- Rotating waves in simple scalar excitable media: approximations and numerical solutions (2016) (3)
- The in fl ammatory response to in fl uenza A virus ( H 1 N 1 ) : An experimental and mathematical study (2015) (2)
- Modeling the effect of acute inflammation on gas exchange (2006) (2)
- Theta-gamma cross-frequency coupling enables covariance between distant brain regions (2019) (2)
- A computational model of the shrimp-goby escape and communication system (2021) (2)
- The Dynamics of Bilateral Olfactory Search and Navigation (2020) (2)
- Cortex 3 of Monkey Dorsolateral Prefrontal - in Layers 2 and Morphological Properties of Inhibitory Neurons Based Physiological Classification - Cluster Analysis (2015) (2)
- Nullclines and phaseplanes (2)
- Structure and function in an oscillating neural network (1993) (2)
- Stochastic Synchrony in the Olfactory Bulb (2009) (2)
- Synchronization and locking in oscillators with flexible periods. (2020) (2)
- Cross-scale excitability in networks of quadratic integrate-and-fire neurons (2022) (2)
- t-neuron, a one dimensional spiking model that reproduces in vitro and in vivo spiking characteristics of cortical neurons (1998) (2)
- Models for Pattern Formation in Development (2002) (2)
- Phase Models, Noisy (2014) (2)
- Oscillation death (2008) (2)
- Solving the Fokker-Planck equation with the finite-element method: (2010) (2)
- Traveling Pulses in a Nonlocal Equation Arising Near a Saddle-Node Infinite Cycle Bifurcation (2017) (2)
- A Theory of Drug Induced Visual Hallucination Patterns (1979) (1)
- A model for the collective synchronization of flashing in Photinus carolinus (2022) (1)
- Firefly synchrony (1991) (1)
- Stochastic firing rate models (2010) (1)
- Dopamine-NMDA interactions and relevance to gamma band synchrony in schizophrenia (2013) (1)
- Learning and generation of temporal sequences in the neocortex (2010) (1)
- Coupled Oscillators and Mammalian Small Intestines (1983) (1)
- Optimal time scale for spike-time reliability: (2009) (1)
- 7. Using AUTO: Bifurcation and Continuation (2002) (1)
- From Clocks to Chaos: The Rhythms of Life, Leon Glass, Michael C. Mackey. Princeton University Press (1988), U.S.$45.00 (cloth), U.S.$13.95 (paper), 248 pp (1989) (1)
- An analysis of the adaptive behavior of piriform cortex pyramidal cells (1997) (1)
- Synchronization of oscillators via active media. (2019) (1)
- Flicker-Induced Phosphenes (2014) (1)
- Spatially Distributed Networks (2010) (1)
- A model of monocular cell development by competition for trophic factor (1997) (1)
- Propagating Waves as a Cortical Mechanism of Direction-Selectivity in V1 Motion Cells (2016) (1)
- Kcns3 deficiency disrupts Parvalbumin neuron physiology in mouse prefrontal cortex: Implications for the pathophysiology of schizophrenia (2020) (1)
- Theoretical models in biology: The origin of life, the immune system, and the brain (2006) (1)
- PLOS Computational Biology 2017 Reviewer and Editorial Board Thank You (2018) (1)
- Dynamics of spike generation may underly in vivo spike train statistics (1998) (1)
- Neural Oscillators and Dynamical Systems Models (2009) (1)
- Dopamine-NMDA interactions and relevance to gamma band synchrony in schizophrenia (2013) (1)
- Heterogeneity and Oscillations in Small Swarms (2016) (1)
- Steady-state analysis of a continuum model for super-infection (2009) (1)
- Stochastic Network Models in Neuroscience: A Festschrift for Jack Cowan. Introduction to the Special Issue (2016) (1)
- Collective behavior in populations of coupled stochastic oscillators (2004) (1)
- Small Amplitude Stable Wavetrains in Reaction-Diffusion Systems (2017) (1)
- Propagating Action Potentials (2010) (1)
- Discrete and Continuous Media in the Presence of a Frequency Gradient (1988) (0)
- Oscillations of NO synthase in the midgut of the Anopheles mosquito (2007) (0)
- correlation-induced neural synchronization Intrinsic heterogeneity in oscillatory dynamics limits (2012) (0)
- Rotational Model for Oscillating Waves Over the Surface of A Sphere (2007) (0)
- ViewpointTraveling Electrical Waves in Cortex : Insights from Phase Dynamics and Speculation on a Computational (2001) (0)
- U.S.$45.00 (cloth), U.S.$13.95 (paper), 248 ppLeon Glass and Michael C. Mackey, From Clocks to Chaos: The Rhythms of Life, Princeton University Press (1988). (1989) (0)
- Author response: Sensory dynamics of visual hallucinations in the normal population (2016) (0)
- In: Jane Cronin, Editor, , Cambridge University Press, Cambridge, U.K. (1987), p. 261 U.S.$49.50 (cloth). (1988) (0)
- Rotating waves in simple scalar excitable media: approximations and numerical solutions (2016) (0)
- $41.60 (cloth), 586 ppLeah Edelstein-Keshet, Mathematical Models in Biology, Random House, Cambridge (1988). (1988) (0)
- Weakly coupled oscillators in a slowly varying world (2016) (0)
- Stochastic Neuroscience (2008) (0)
- From Cell to Tissue; Contact Mediated Orientation Selection in a Population (1990) (0)
- 9. Tricks and Advanced Methods (2002) (0)
- Decoding the rhythms of the natural world (2020) (0)
- Age-Related Changes to the Immune System Exacerbate the Inflammatory Response to Pandemic H1N1 Infection (2022) (0)
- Mathematical biology : J.D. Murray, Springer-Verlag, New York, 1990, $69.95. (1991) (0)
- Book reviews (1989) (0)
- Book reviews (1991) (0)
- $52.50 (cloth), 420 + xvi pp.Glenn W. Rowe, Theoretical Models in Biology: The Origin of Life, the Immune System, and the Brain, Oxford University Press (1994). (1995) (0)
- Neuroscience: A Mathematical Primer.ByAlwyn Scott.New York: Springer.$99.00 (hardcover); $49.95 (paper). xx + 352 p; ill.; index. ISBN: 0–387–95403–1 (hc); 0–387–95402–3 (pb). 2002. (2003) (0)
- Neural and Brain Modeling, Ronald J. MacGregor. Academic Press (1987), U.S.$89.00 (cloth), 643 pp. (1989) (0)
- Establishing the Turing mechanism using synthetic cells (2013) (0)
- Oscillations and chaos in the dynamics of the BCM learning rule (2013) (0)
- Decision letter: Firing rate-dependent phase responses of Purkinje cells support transient oscillations (2020) (0)
- Decision letter: Modelling the emergence of whisker barrels (2020) (0)
- List of contributors**Where a paper is by more than two authors, only the first is listed below. (1989) (0)
- Mechanisms regulating the properties of inhibition-based gamma oscillations in primate prefrontal and parietal cortices. (2023) (0)
- Modeling Study Tissues With Low Magnesium Concentration: A Persistent Synchronized Bursting Activity in Cortical (2015) (0)
- Correction to ‘Recent advances in coupled oscillator theory’ (2020) (0)
- 6. Spatial Problems, PDEs, and BVPs (2002) (0)
- Synchrony and Incoherence in a Population of Neural Oscillators with Coupling Strength Inhomogeneity (2009) (0)
- Stochastic representations of ion channel kinetics and exact stochastic simulation of neuronal dynamics (2014) (0)
- 526 Computational modeling of two methods of histologic embedding during Mohs micrographic surgery (2020) (0)
- 5. More Advanced Differential Equations (2002) (0)
- Neural Oscillators: Weak Coupling (2010) (0)
- Oscillations via Excitable Cells (2020) (0)
- Computational model of NOS/TGF-Beta1/Plasmodia system in humans and mosquitoes (2007) (0)
- A Boundary Value Approach to Optimization with an Application to Salmonella Competition (2015) (0)
- Stochastic synchrony of neuronal oscillators: a Fokker-Planck study with the finite-element method (2007) (0)
- Fast and accurate representations of stochastic ion channel fluctuations (2015) (0)
- Mathematical model of necrotizing enterocolitis: effects of probiotic treatment and Toll-like receptor 4 inhibition (2010) (0)
- Mathematical modeling of trypsin activation in acinar cell environment (2013) (0)
- Connectivity, Axonal Delay, and Synchrony in Cortical Oscillators (0)
- Book reviews (1988) (0)
- A model of monocular cell development by competition for neurotrophic factor: effects of excess NT with monocular deprivation and effects of NT antagonist (1998) (0)
- Book reviews (1988) (0)
- J. Mazumdar, An Introduction to Mathematical Physiology and Biology, , Cambridge University Press, Berlin (1989) U.S. $49.50 (cloth), U.S. $16.95 (paper), 208 pp. (1991) (0)
- Perspectives of nonlinear dynamics (1991) (0)
- Synchrony, waves and ripple in spatially coupled Kuramoto oscillators with Mexican hat connectivity (2015) (0)
- Book reviews (1991) (0)
- 3. Writing ODE Files for Differential Equations (2002) (0)
- Phaselocking in a reaction-diffusion equation with twist (1994) (0)
- Oscillations and chaos in the dynamics of the BCM learning rule (2013) (0)
- Pattern formation in neural networks – looking back over the last 35 years (2014) (0)
- ANALYTIC OPTIMIZATION OF BIOHYBRID LIVER REACTION KINETICS WITH DIFFERENTIAL-ALGEBRAIC EQUATIONS (1999) (0)
- The Variety of Channels (2010) (0)
- $38.75 (cloth), 197 ppEdward Beltrami, Mathematical Models in the Social and Biological Sciences, Jones & Bartlett, New York (1993). (1994) (0)
- The inhibitory control of traveling waves in cortical networks (2022) (0)
- Scent and Sensibility: Navigating a Chemical Trail (2016) (0)
- $49.00 (cloth), 568 ppJ. Hale and H. Kocak, Dynamics and Bifurcations, Springer-Verlag, New York (1991). (1993) (0)
- Chaos in brain function edited by Erol Basar, Springer-Verlag, 1990. DM 49.80 (x + 176 pages) ISBN 0 387 52329 4 (1991) (0)
- An Oscillatory Mechanism for Multi-level Storage in Short-term Memory (2021) (0)
- 442: DISCRETE DYNAMICAL MODELING OF INFLUENZA INFECTION SUGGESTS AGE-DEPENDENT DIFFERENCES IN IMMUNITY (2015) (0)
- Noise-Driven Oscillations in Coupled Excitable Systems (2021) (0)
- Computational Model of Cortical Actomyosin (2015) (0)
- Neurons to Transient Inputs Phase-Response Curves Give the Responses of (2006) (0)
- Reliability , discriminability and noise-induced synchrony in olfactory neurons (2005) (0)
- Emergent Dynamical Properties of the BCM Learning Rule (2017) (0)
- A closed loop model of pulmonary gas exchange (2008) (0)
- Age-Related Changes to the Immune System Exacerbate the Inflammatory Response to Pandemic H1N1 Infection (2022) (0)
- Neuronal Networks: Fast/Slow Analysis (2010) (0)
- Chaotic dynamics in spatially distributed neuronal networks generate population-wide shared variability (2022) (0)
- FREQUENCYPLATEAUS IN A CHAIN OF WEAKLYCOUPLED OSCILLATORS, I.* (1984) (0)
- A multiscale lung model of gas exchange under inflammatory stress (2007) (0)
- Book reviews (1993) (0)
- In: M.F. Barnsley and S.G. Demko, Editors, , Academic Press, Cambridge, U.K. (1986). In: M.V. Berry, I.C. Percival and N.O. Weiss, Editors, , Princeton University Press, San Diego, California (1987) U.S. $19.50 (paper), 199 pp. (1991) (0)
- A Theoretical Comparison of Alternative Male Mating Strategies in Cephalopods and Fishes (2022) (0)
- Greater accuracy and broadened applicability of phase reduction using isostable coordinates (2017) (0)
- Waves and oscillations in networks of coupled neurons (2005) (0)
- Neuronal Dynamics in the Entorhinal Cortex Noise From Voltage-Gated Ion Channels May Influence (2015) (0)
- Rotating Waves of Nonlocally Coupled Oscillators on the Annulus (2022) (0)
- Stimulus features, resetting curves, and the dependence on adaptation (2012) (0)
- Phase Description for General Limit Cycle Oscillator Subject to General Noise (2009) (0)
- Neural Behavior: Mathematical Models (2006) (0)
- Book reviews (1991) (0)
- Mechanisms regulating the frequency of inhibition-based gamma oscillations in primate prefrontal and parietal cortices (2022) (0)
- 4. XPPAUT in the Classroom (2002) (0)
- Spatial effects of pro- and anti-inflammatory cytokines on chronic inflammation: A mathematical model (2011) (0)
- The Type II phase resetting curve is optimal for noise-induced synchrony: a mathematical proof (2008) (0)
- Theory, Simulations, and Experiments Optimal Time Scale for Spike-Time Reliability: (2015) (0)
- A model for complex sequence learning and reproduction in neural populations (2011) (0)
- An Introduction to Mathematical Physiology and Biology, J. Mazumdar, in: Australian Mathematical Society Lecture Series, Vol. 4. Cambridge University Press, Berlin (1989), U.S. $49.50 (cloth), U.S. $16.95 (paper), 208 pp (1991) (0)
- U.S.$89.00 (cloth), 643 pp.Ronald J. MacGregor, Neural and Brain Modeling, Academic Press (1987). (1989) (0)
- Book Review (2008) (0)
- Book reviews (1989) (0)
- Fast and accurate representations of stochastic ion channel fluctuations (2015) (0)
- 2. A Very Brief Tour of XPPAUT (2002) (0)
- Oscillatory Neural Networks (2011) (0)
- A Population Firing Rate Mo del of Reverberatory Activity in Neuronal Networks (2005) (0)
- Qualitative Effects of Monovalent Vaccination Against Rotavirus: A Comparison of North America and South America (2015) (0)
- U.S. $59.50 (cloth), 235 ppN. MacDonald, Biological Delay Systems: Linear Stability Theory, Cambridge University Press, Oxford, U.K. (1989). (1991) (0)
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