H. Tuckwell

发表

Recurrent inhibition and afterhyperpolarization: Effects on neuronal discharge

H. Tuckwell, 1978, Biological Cybernetics.

Introduction to Theoretical Neurobiology: The analysis of stochastic neuronal activity

H. Tuckwell, 1988 .

Introduction to Theoretical Neurobiology: Linear Cable Theory and Dendritic Structure

H. Tuckwell, 1988 .

Firing Properties of a Stochastic Pde Model of a Rat Sensory Cortex Layer 2/3 Pyramidal Cell

Shigeru Tanaka, H. Tuckwell, N. Iannella, 2022 .

The probability of HIV infection in a new host and its reduction with microbicides.

A. Perelson, H. Tuckwell, P. Shipman, 2008, Mathematical biosciences.

Accuracy of neuronal interspike times calculated from a diffusion approximation.

H. Tuckwell, D. Cope, 1980, Journal of theoretical biology.

Nonlinear and stochastic theories

H. Tuckwell, 1988 .

The interspike interval of a cable model neuron with white noise input

H. Tuckwell, Y. Wong, F. Wan, 2004, Biological Cybernetics.

Population growth with randomly distributed jumps

H. Tuckwell, F. Hanson, 1997 .

Random currents through nerve membranes

Henry C. Tuckwell, John B. Walsh, H. Tuckwell, 1983, Biological Cybernetics.

The response of a spatially distributed neuron to white noise current injection

Henry C. Tuckwell, Frederic Y. M. Wan, H. Tuckwell, 1979, Biological Cybernetics.

A mathematical model for evaluating the impact of vaccination schedules: application to Neisseria meningitidis

A Flahault, H C Tuckwell, A J Valleron, 2003, Epidemiology and Infection.

Cortical network modeling: Analytical methods for firing rates and some properties of networks of LIF neurons

Henry C. Tuckwell, H. Tuckwell, 2006, Journal of Physiology-Paris.

PREDICTING THE PROBABILITY OF PERSISTENCE OF HIV INFECTION WITH THE STANDARD MODEL

H. Tuckwell, P. Shipman, 2011, 1107.3459.

Inhibition and modulation of rhythmic neuronal spiking by noise.

Jürgen Jost, Henry C Tuckwell, Boris S Gutkin, 2009, Physical review. E, Statistical, nonlinear, and soft matter physics.

Simple mathematical models for urban growth

H. Tuckwell, A. Bracken, 1992, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

Linear cable theory and dendritic structure

H. Tuckwell, 1988 .

Stochastic Partial Differential Equations in Neurobiology: Linear and Nonlinear Models for Spiking Neurons

Henry C. Tuckwell, H. Tuckwell, 2013 .

Techniques for obtaining analytical solutions for Rall's model neuron

Henry C. Tuckwell, H. Tuckwell, G. Bluman, 1987, Journal of Neuroscience Methods.

World population

Henry C. Tuckwell, James A. Koziol, H. Tuckwell, 1992, Nature.

Nonlinear effects in white-noise driven spatial diffusion: General analytical results and probabilities of exceeding threshold

H. Tuckwell, 2008 .

Mean Field Analysis of Large-Scale Interacting Populations of Stochastic Conductance-Based Spiking Neurons Using the Klimontovich Method

H. Tuckwell, D. Gandolfo, R. Rodriguez, 2016, Journal of Statistical Physics.

On the first-exit time problem for temporally homogeneous Markov processes

Henry C. Tuckwell, H. Tuckwell, 1976 .

Computational modeling of spike generation in serotonergic neurons of the dorsal raphe nucleus

Henry C. Tuckwell, H. Tuckwell, N. Penington, 2012, Progress in Neurobiology.

Properties of IA in a neuron of the dorsal raphe nucleus

H. Tuckwell, N. Penington, 2012, Brain Research.

Properties of IA in a serotonergic neuron of the dorsal raphe nucleus

H. Tuckwell, N. Penington, 2011, 1107.3450.

Determination of activation functions from voltage-clamp data: an example for \IA in dorsal raphe neurons

H. Tuckwell, N. Penington, 2011 .

Moment analysis of the Hodgkin–Huxley system with additive noise

Henry C. Tuckwell, Jürgen Jost, J. Jost, 2009 .

The silencing of neuronal activity by noise and the phenomenon of inverse stochastic resonance

J. Jost, B. Gutkin, H. Tuckwell, 2008, 0805.0592.

Spatial neuron model with two-parameter Ornstein–Uhlenbeck input current

H. Tuckwell, 2006 .

Analysis of inverse stochastic resonance and long-term firing in Hodgkin-Huxley neurons

J. Jost, H. Tuckwell, 2012 .

Ju l 2 01 1 Quantitative aspects of L-type Ca 2 + currents

H. Tuckwell, 2011 .

On short-term trends and predictions for COVID-19 in France and the USA: comparison with Australia

H. Tuckwell, D. Abbott, A. Allison, 2020, medRxiv.

Gompertzian population growth under some deterministic and stochastic jump schedules

H. Tuckwell, 2016, 1604.08696.

Viral Population Growth Models

H. Tuckwell, 2005 .

Numerical solutions of some stochastic hyperbolic wave equations including sine-Gordon equation

H. Tuckwell, 2016 .

Numerical solutions of some hyperbolic stochastic partial differential equations with mixed derivatives including sine-Gordon equation

H. Tuckwell, 2015 .

Introduction to theoretical neurobiology

Henry C. Tuckwell, H. Tuckwell, 1988 .

Analysis of pacemaker activity in a two-component model of some brainstem neurons

H. Tuckwell, N. Penington, Ying Zhou, 2017, 1704.03941.

Simplified models of pacemaker spiking in raphe and locus coeruleus neurons

H. Tuckwell, N. Penington, Ying Zhou, 2015, 1508.05468.

Quantitative aspects of L-type calcium currents

H. Tuckwell, 2011, 1107.3443.

On the first-exit time problem for temporally homogeneous Markov processes

H. Tuckwell, 1976, Journal of Applied Probability.

Stochastic Modeling of Spreading Cortical Depression

H. Tuckwell, 2013 .

Chapter 7 Stochastic modeling of spreading cortical depression

H. Tuckwell, 2011 .

Inhibition of rhythmic neural spiking by noise: the occurrence of a minimum in activity with increasing noise

Boris S. Gutkin, Henry C. Tuckwell, Jürgen Jost, 2009, Naturwissenschaften.

Random Perturbations of the Reduced Fitzhugh-Nagumo Equation

H. Tuckwell, 1992 .

Contribution to Chapter One of Book Motivation for Using Jump Processes in Neurobiological Modeling Sprang Primarily

H. Tuckwell, 2002 .

Random fluctuations at an equilibrium of a nonlinear reaction-diffusion equation

H. Tuckwell, 1993 .

Perturbative Analysis of Random Nonlinear Reaction-Diffusion Systems

H. Tuckwell, 1988 .

On the validity of the Franck-Condon factor approximation for photo-ionizing transitions of O2(Σ3g−)

H. Tuckwell, 1970 .

Calculation of the photoionization cross section of N2 from first threshold at 500 AA

H. Tuckwell, 1970 .

A meta-analysis of homovanillic acid concentrations in schizophrenia.

H. Tuckwell, J. Koziol, 1993, The International journal of neuroscience.

Analytical and Simulation Results for the Stochastic Spatial Fitzhugh-Nagumo Model Neuron

Henry C. Tuckwell, H. Tuckwell, 2008, Neural Computation.

Mean Field Analysis of Large-Scale Interacting Populations of Stochastic Conductance-Based Spiking Neurons Using the Klimontovich Method

H. Tuckwell, D. Gandolfo, R. Rodriguez, 2017, Journal of Statistical Physics.

A mathematical model for spreading cortical depression.

H C Tuckwell, R. Miura, H. Tuckwell, 1978, Biophysical journal.

Population growth II: branching processes

H. Tuckwell, 1988 .

Coding of stimulus intensity in an olfactory receptor neuron: role of neuron spatial extent and passive dendritic backpropagation of action potentials.

J. Rospars, P. Lánský, H. Tuckwell, 1996, Bulletin of mathematical biology.

Weak Noise in Neurons May Powerfully Inhibit the Generation of Repetitive Spiking but Not Its Propagation

Henry C. Tuckwell, Jürgen Jost, J. Jost, 2010, PLoS Comput. Biol..

Mathematical modeling of spreading cortical depression: spiral and reverberating waves

Henry C. Tuckwell, H. Tuckwell, 2008 .

Some properties of a simple stochastic epidemic model of SIR type

Henry C Tuckwell, Ruth J. Williams, H. Tuckwell, 2006, Mathematical Biosciences.

Dynamical modeling of viral spread in spatially distributed populations: stochastic origins of oscillations and density dependence

Henry C. Tuckwell, Laurent Toubiana, H. Tuckwell, 2005, Biosystems.

Epidemic spread and bifurcation effects in two-dimensional network models with viral dynamics.

H C Tuckwell, J F Vibert, L Toubiana, 2001, Physical review. E, Statistical, nonlinear, and soft matter physics.

Enhancement of epidemic spread by noise and stochastic resonance in spatial network models with viral dynamics.

J. Vibert, H. Tuckwell, L. Toubiana, 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

Spatial epidemic network models with viral dynamics

Henry C. Tuckwell, Laurent Toubiana, Jean-François Vibert, 1998 .

Quantitative aspects of L-type Ca2+ currents

Henry C. Tuckwell, H. Tuckwell, 2012, Progress in Neurobiology.

Cortical Potential Distributions and Information Processing

Henry C. Tuckwell, H. Tuckwell, 2000, Neural Computation.

Ion and transmitter movements during spreading cortical depression.

H C Tuckwell, H. Tuckwell, C L Hermansen, 1981, The International journal of neuroscience.

Elementary Applications of Probability Theory.

H. Tuckwell, 1995 .

Density independent population growth with random survival

H. Tuckwell, 2016, 1604.00832.

On the photoionization cross section and Rydberg series of O2(X3Σ-g)

H. Tuckwell, 1971 .

On the simulation of biological diffusion processes

H C Tuckwell, P Lánský, P. Lánský, 1997, Comput. Biol. Medicine.

The Effects of Random Selection on Gene Frequency

H. Tuckwell, 1976 .

First-passage time of Markov processes to moving barriers

Henry C. Tuckwell, Frederic Y. M. Wan, H. Tuckwell, 1984, Journal of Applied Probability.

World and regional populations.

H. Tuckwell, J. Koziol, 1993, Bio Systems.

Bio Systems World and regional populations

H. Tuckwell, J. Koziol, 2022 .

On the concentration of Shydroxyindoleacetic acid in schizophrenia : A meta-analysis

H. Tuckwell, James A. Koziolb, 2003 .

On the concentration of 5-hydroxyindoleacetic acid in schizophrenia: A meta-analysis

H. Tuckwell, J. Koziol, 1996, Psychiatry Research.

On distributions of physiological and anatomical variables in pathological conditions: dopamine d2 receptors in schizophrenia and their occupancies after drug treatment

H. Tuckwell, 2001 .

Coding of odor intensity in a steady-state deterministic model of an olfactory receptor neuron

Henry C. Tuckwell, Petr Lánský, Jean-Pierre Rospars, 1996, Journal of Computational Neuroscience.

Diffusion approximations to channel noise

Henry C. Tuckwell, H. Tuckwell, 1987 .

Firing rates of neurons with random excitation and inhibition.

H C Tuckwell, H. Tuckwell, D. Cope, 1979, Journal of theoretical biology.

Neuronal interspike time distributions and the estimation of neurophysiological and neuroanatomical parameters.

H C Tuckwell, H. Tuckwell, W. Richter, 1978, Journal of theoretical biology.

Determination of the inter-spike times of neurons receiving randomly arriving post-synaptik potentials

H. Tuckwell, 1975, Biological Cybernetics.

Poisson Processes in Biology

H. Tuckwell, 1981 .

Statistical properties of perturbative nonlinear random diffusion from stochastic integral representations

Henry C. Tuckwell, H. Tuckwell, 1987 .

Use of Green's function matrices for systems of diffusion equations

Henry C. Tuckwell, H. Tuckwell, 1988 .

Nonlinear Random Reaction-Diffusion Systems

H. Tuckwell, 1988 .

Convergence of sequences of random variables: the central limit theorem and the laws of large numbers

H. Tuckwell, 2018 .

Biophysical properties and computational modeling of calcium spikes in serotonergic neurons of the dorsal raphe nucleus

Henry C. Tuckwell, H. Tuckwell, 2012, Biosyst..

Analysis of inverse stochastic resonance and the long-term firing of Hodgkin–Huxley neurons with Gaussian white noise

Henry C. Tuckwell, J. Jost, H. Tuckwell, 2012, 1202.2491.

Properties of I A in a serotonergic neuron of the dorsal raphe nucleus

H. Tuckwell, N. Penington, 2011 .

The effects of various spatial distributions of weak noise on rhythmic spiking

Henry C. Tuckwell, Jürgen Jost, J. Jost, 2011, Journal of Computational Neuroscience.

Noise induced tuned decrease in firing in neural models: inverse stochastic resonance

B. Gutkin, H. Tuckwell, Juergen Jost, 2008 .

Random perturbations of spiking activity in a pair of coupled neurons

Boris S. Gutkin, Henry C. Tuckwell, Jürgen Jost, 2008, Theory in Biosciences.

Analytical and Simulation Results for Stochastic Fitzhugh-Nagumo Neurons and Neural Networks

Henry C. Tuckwell, Roger Rodriguez, H. Tuckwell, 1998, Journal of Computational Neuroscience.

Voltage clamp calculations for myelinated and demyelinated axons

Henry C. Tuckwell, H. Tuckwell, 2004, European Biophysics Journal.

Continuum models in neurobiology and information processing.

H C Tuckwell, H. Tuckwell, 1998, Bio Systems.

Synaptic transmission in a model for stochastic neural activity.

H C Tuckwell, H. Tuckwell, 1979, Journal of theoretical biology.

Stochastic processes in the neurosciences

Henry C. Tuckwell, H. Tuckwell, 1989 .

Direct HIV testing in blood donations: variation of the yield with detection threshold and pool size

H C Tuckwell, D Costagliola, H. Tuckwell, 1999, Transfusion.

A Bayesian method for combining statistical tests

Henry C. Tuckwell, James A. Koziol, H. Tuckwell, 1999 .

On the possible use of ICA to identify synaptic inputs from observations of several neurons

Henry C. Tuckwell, Pando G. Georgiev, P. Georgiev, 2005, Neurocomputing.

A review of methods for identifying stochastic resonance in simulations of single neuron models

Jürgen Jost, Nicolangelo Iannella, L. M. Ward, 2015, Network.

Evidence of Soliton-Like Behavior of Solitary Waves in a Nonlinear Reaction-Diffusion System

H. Tuckwell, 1980 .

A spatial stochastic neuronal model with Ornstein–Uhlenbeck input current

Henry C. Tuckwell, Jean-Pierre Rospars, Frederic Y. M. Wan, 2002, Biological Cybernetics.

Diffusion processes, stochastic differential equations and applications

H. Tuckwell, 1995 .

A study of some diffusion models of population growth.

H C Tuckwell, H. Tuckwell, 1974, Theoretical population biology.

Frequency of firing of Stein's model neuron with application to cells of the dorsal spinocerebellar tract

H. Tuckwell, 1976, Brain Research.

On the behavior of solutions in viral dynamical models.

Henry C Tuckwell, Frederic Y M Wan, H. Tuckwell, 2004, Bio Systems.

Population genetics and Markov chains

H. Tuckwell, 1988 .

Computation of spiking activity for a stochastic spatial neuron model: effects of spatial distribution of input on bimodality and CV of the ISI distribution.

Henry C Tuckwell, H. Tuckwell, 2007, Mathematical biosciences.

Some Optimal Stochastic Control Problems in Neuroscience — a Review

Jianfeng Feng, Xiaojiang Chen, Henry C. Tuckwell, 2004 .

Optimal control of neuronal activity.

Jianfeng Feng, Henry C Tuckwell, Jianfeng Feng, 2003, Physical review letters.

Determination of Firing Times for the Stochastic Fitzhugh-Nagumo Neuronal Model

Henry C. Tuckwell, Frederic Y. M. Wan, Roger Rodriguez, 2003, Neural Computation.

Analytical determination of firing times in stochastic nonlinear neural models

Henry C. Tuckwell, Frederic Y. M. Wan, Roger Rodriguez, 2002, Neurocomputing.

A stochastic model for early HIV-1 population dynamics.

H C Tuckwell, H. Tuckwell, E Le Corfec, 1998, Journal of theoretical biology.

Logistic Growth with Random Density Independent Disasters

Henry C. Tuckwell, Floyd B. Hanson, H. Tuckwell, 1981 .

Some new results on the coding of pheromone intensity in an olfactory sensory neuron

Henry C. Tuckwell, Petr Lánský, Jean-Pierre Rospars, 1995, The European Symposium on Artificial Neural Networks.

Nature of equilibria and effects of drug treatments in some simple viral population dynamical models.

H. Tuckwell, F. Wan, 2000, IMA journal of mathematics applied in medicine and biology.

Simplified reaction-diffusion equations for potassium and calcium ion concentrations during spreading cortical depression.

H C Tuckwell, H. Tuckwell, 1981, The International journal of neuroscience.

The response of a nerve cylinder to spatially distributed white noise inputs.

H C Tuckwell, H. Tuckwell, F. Wan, 1980, Journal of theoretical biology.

Analysis and estimation of synaptic densities and their spatial variation on the motoneuron surface

H. Tuckwell, J. Koziol, 1978, Brain Research.

Effects of partial cross sections on the energy distribution of slow secondary electrons

Yong-ki Kim, H. Tuckwell, 1976 .

Nature of equilibria and effects of drug treatments in some simple viral population dynamical models

H. Tuckwell, F. Wan, 2000 .

Transient termination of spiking by noise in coupled neurons

Henry C. Tuckwell, Boris Gutkin, Jürgen Jost, 2007 .

Noisy spiking neurons and networks: useful approximations for firing probabilities and global behavior.

H C Tuckwell, H. Tuckwell, R Rodriguez, 1998, Bio Systems.

Predictions and properties of a model of potassium and calcium ion movements during spreading cortical depression.

H C Tuckwell, H. Tuckwell, 1980, The International journal of neuroscience.

Neuronal response to stochastic stimulation

Henry C. Tuckwell, H. Tuckwell, 1984, IEEE Transactions on Systems, Man, and Cybernetics.

Neuronal interspike time histograms for a random input model.

H C Tuckwell, H. Tuckwell, 1978, Biophysical journal.

Firing rates of motoneurons with strong random synaptic excitation

H. Tuckwell, 1976, Biological Cybernetics.

Coding of odour intensity in a sensory neuron.

J. Rospars, P. Lánský, H. Tuckwell, 1997, Bio Systems.

PREDICTIONS AND PROPERTIES OF A MODEL DURING SPREADING CORTICAL DEPRESSION OF POTASSIUM AND CALCIUM ION MOVEMENTS

H. Tuckwell, 1980 .

ON REACTION DYNAMICS AT DOPAMINE SYNAPSES

H. Tuckwell, 2007, The International journal of neuroscience.

A dynamical system for the approximate moments of nonlinear stochastic models of spiking neurons and networks

H. C. Tuckwell, H. Tuckwell, R. Rodriguez, 2000 .

Solitons in a Reaction-Diffusion System

H. Tuckwell, 1979, Science.

Population Growth with Large Random Fluctuations

H. Tuckwell, 1980 .

Some Stochastic Growth Processes

H. Tuckwell, Charles E. Smith, 1974 .

Estimation of Spike Train Statistics in Spontaneously Active Biological Neural Networks

Jianfeng Feng, Henry C. Tuckwell, Jianfeng Feng, 2007 .

Repeating triplets of spikes and oscillations in the mitral cell discharges of freely breathing rats

H C Tuckwell, H. Tuckwell, R. Lestienne, 1999, The European journal of neuroscience.

The Space-Clamped Hodgkin-Huxley System with Random Synaptic Input: Inhibition of Spiking by Weak Noise and Analysis with Moment Equations

Henry C. Tuckwell, Susanne Ditlevsen, H. Tuckwell, 2016, Neural Computation.

The significance of precisely replicating patterns in mammalian CNS spike trains

H. C. Tuckwell, H. Tuckwell, R. Lestienne, 1997, Neuroscience.

A Weighted Nonparametric Procedure for the Combination of Independent Events

H. Tuckwell, J. Koziol, 1994 .

On shunting inhibition

H. C. Tuckwell, H. Tuckwell, 1986, Biological Cybernetics.

Logistic population growth under random dispersal.

H C Tuckwell, H. Tuckwell, J. Koziol, 1987, Bulletin of mathematical biology.

Inhibition of repetitive activity by weak noise in the spatial Hodgkin-Huxley system

J. Jost, H. Tuckwell, 2009 .

Some applications of the hypergeometric and Poisson distributions

H. Tuckwell, 1988 .

Population growth I: birth and death processes

H. Tuckwell, 2018 .

Simple random walks

Henry C. Tuckwell, H. Tuckwell, 1988 .

A neurophysiological theory of a reproductive process.

H. Tuckwell, 1989, The International journal of neuroscience.

Persistence times of populations with large random fluctuations.

H. Tuckwell, F. Hanson, Floyd B. Hanson, 1978, Theoretical population biology.

First passage time to detection in stochastic population dynamical models for HIV-1

Henry C. Tuckwell, Frederic Y. M. Wan, H. Tuckwell, 2000, Appl. Math. Lett..

Statistical properties of stochastic nonlinear dynamical models of single spiking neurons and neural networks.

H. Tuckwell, Rodriguez, Tuckwell, 1996, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

On the effect of random perturbations in a nonlinear system

H. Tuckwell, 1992 .

Firing properties of a stochastic PDE model of a rat sensory cortex layer 2/3 pyramidal cell.

H. Tuckwell, Nicolangelo Iannella, Shigeru Tanaka, 2004, Mathematical biosciences.