Articles Henry C. Tuckwell
STOCHASTIC PROCESSES (NEUROBIOLOGY)
DETERMINISTIC MODELS IN NEUROBIOLOGY: CABLE THEORY, SYNAPTOLOGY
& SPREADING DEPRESSION
NEURONAL AND BRAIN CODING (INFORMATION PROCESSING)
VIRAL DYNAMICS AND
EPIDEMIOLOGY
POPULATION DYNAMICS AND
DEMOGRAPHY
APPLIED PROBABILITY,
APPLIED MATHEMATICS AND STATISTICS
STOCHASTIC PROCESSES (NEUROBIOLOGY)
36. Time to first spike in stochastic
Hodgkin-Huxley systems
35. On the possible use of ICA to identify
synaptic inputs from observations of several neurons.
Neurocomputing
67, 450-457, 2005.
34. Spike trains in a stochastic Hodgkin-Huxley
system.
33. Firing properties of a stochastic PDE model
of a rat sensory cortex layer 2/3 pyramidal cell.
Mathematical Biosciences
188, 117-132, 2004.
32. Some optimal stochastic control problems in
Neuroscience.
Modern Physics
Letters B 18, 1067-1085, 2004.
31. Determination
of firing times for the stochastic Fitzhugh-Nagumo model.
Neural Computation 15,
143-159, 2003.
30. Optimal control of neuronal activity.
Physical Review Letters 91,
018101, 2003.
29. Methods of Computational
Neuroscience: An Overview. (with J-F. Feng).
In, Computational Neuroscience: A
Comprehensive Approach, Feng,J-F. Ed.}
CRC, Boca Raton, 2003.
28. Analytical determination of firing times in
stochastic nonlinear neural models.
Neurocomputing 48, 1003-1007, 2002.
27. A spatial stochastic neuronal model with Ornstein-Uhlenbeck input current.
Biological Cybernetics 86,
137-145, 2002.
26. A dynamical system
for the approximate moments of nonlinear stochastic models of
spiking neurons and networks.
Mathematical and Computer
Modeling 31, 175-180, 2000
25. Analytical and simulation results for
stochastic Fitzhugh-Nagumo neurons and neural networks.
J. Computational Neuroscience 5, 91-113, 1998.
24. Reliability of spike encoding in cortical
neurons.
23. Statistical
properties of stochastic nonlinear dynamical models of single spiking neurons
and neural networks.
Physical Review E 54, 5585-5590, 1996
22. Random perturbations of the reduced Fitzhugh-Nagumo
equation.
Physica Scripta 46, 481-484, 1992
21. Nonlinear random reaction-diffusion
systems.
Biomathematics and related computational problems,
1988
20. Diffusion approximations to
channel noise.
J. Theor. Biol.127, 427-438,
1987.
19. Stochastic equations for nerve membrane
potential.
J. Theoretical Neurobiology 5, 87-99, 1986.
18. Neuronal response to stochastic stimulation.
IEEE Syst Man Cyb 14, 464-469, 1984.
17. The interspike interval of a cable model
neuron with white noise input.
Biological Cybernetics 49,
155-167, 1984.
16. Random currents through nerve
membranes.
Biological Cybernetics 49,
99-110, 1983.
15. Neuronal firing and input variability.
J. Theoretical
Neurobiology 1, 197-218, 1982.
14. Poisson processes in biology.
Stochastic Nonlinear Systems 1981.
13. Accuracy of neuronal interspike times
calculated from a diffusion approximation.
J. Theor. Biol. 83,
377-387, 1980.
12. The response of a nerve cylinder to spatially
distributed white noise inputs.
J. Theor. Biol.87, 275-295, 1980.
11. Synaptic transmission in a model for
stochastic neuronal activity.
J. Theor. Biol. 77, 65-81, 1979.
10. Firing rates of
neurons with random excitation and inhibition.
J. Theor. Biol.80, 1-14, 1979.
9. The response of a spatially distributed
neuron to white noise current injection.
Biological Cybernetics 33, 39-55, 1979.
8. Recurrent inhibition and
afterhyperpolarization: effects on neuronal discharge.
Biological Cybernetics 30, 115-123,
1978
7. Neuronal interspike time histograms for a
random input model.
Biophysical J.21, 289-290, 1978.
6. Neuronal interspike time distributions and the estimation of neurophysiological and
neuroanatomical parameters.
J. Theor. Biol. 71, 167-183, 1978.
5. A review of Models of the Stochastic
Activity of Neurons by A.V. Holden.
4. On stochastic models of the activity of
single neurons.
J. Theor. Biol. 65, 783-785, 1977.
3. Firing rates of motoneurons with strong
random synaptic excitation.
Biological Cybernetics 24, 147-152, 1976.
2. Frequency of firing of Stein's model neuron
with application to cells of the dorsal spinocerebellar tract.
Brain Research 116, 323-328, 1976.
1. Determination of the
inter-spike times of neurons receiving randomly arriving postsynaptic
potentials.
Biological Cybernetics 18, 225-237,1975.
PSYCHIATRY AND
BEHAVIOUR
5. On distributions of physiological and
anatomical variables in pathological conditions:
dopamine D2 receptors in
schizophrenia and their occupancies after drug treatment.
J Theoret Medicine 3,
213-220, 2001
4. On the concentration
of 5-HIAA in schizophrenia: a meta-analysis.
Psychiatry Research 59, 239-244, 1996.
3. A meta-analysis of
homovanillic acid concentrations in schizophrenia.
International J Neuroscience 73, 109-114, 1993.
2. A neurophysiological theory
of a reproductive process.
International J Neuroscience 44, 143-148, 1989.
1. Is there a connection
between coma and spreading cortical depression?
DETERMINISTIC MODELS IN NEUROBIOLOGY:
CABLE THEORY, SYNAPTOLOGY & SPREADING DEPRESSION
13. Time-dependent solutions for a cable model of
an olfactory receptor neuron.
J. Theor. Biol. 181, 25-31, 1996.
12. Synaptic modeling: Cofactor modifications to Michaelis-Menten kinetics.
11. Dynamical models of central nervous system
synapses: the role of chemical kinetic theory.
10. Voltage clamp calculations for myelinated and
demyelinated axons.
European
Biophysical J. 22, 71-77, 1993.
9. Techniques for obtaining analytical solutions
for Rall's model neuron.
J. Neuroscience Methods 20, 151-166, 1987.
8. On shunting inhibition.
Biological Cybernetics 55, 83-90, 1986
7. Some aspects of cable
theory with synaptic reversal potentials.
J. Theoretical Neurobiology
4, 113-127, 1985.
6. Determination of the
electrical potential over dendritic trees by mapping onto a nerve
cylinder.
J. Theoretical
Neurobiology 4, 27-46, 1985.
5. Ion and transmitter movements during
spreading cortical depression.
International
J. Neuroscience 12, 109-135, 1981.
4. Predictions and properties of a model of
potassium and calcium ion movements during spreading cortical depression
International J. Neuroscience 10, 145-164,
1980.
3. Analysis and estimation of synaptic densities
and their spatial variation on the motoneuron surface.
Brain Research 150, 617-624,
1978.
2. A mathematical model for spreading cortical
depression.
Biophysical J. 23, 257-276, 1978.
1. Repetitive subthreshold synaptic
excitation and transmitter depletion.
J. Theor. Biol.70, 467-469,
1978.
NEURONAL AND BRAIN CODING (INFORMATION PROCESSING)
8. Cortical potential distributions and
information processing.
Neural Computation 12, 2777-2795, 2000
7. Repeating triplets of spikes and
oscillations in the mitral cell discharges of freely breathing rats.
European J. Neuroscience 11, 3185-3193, 1999
6. Continuum models in neurobiology and
information processing.
5. The significance of precisely replicating
patterns in mammalian CNS spike trains.
Neuroscience 82, 315-336, 1998.
4. Coding of odour intensity in a sensory
neuron.
3. Coding of stimulus intensity in an olfactory
receptor neuron.
Bulletin Math Biol 58, 493-512, 1996.
2. Coding of odor intensity in a deterministic
model of an olfactory receptor neuron.
J. Computational Neuroscience 3, 51-72, 1996.
1. Some new results on the coding of pheromone
intensity in an olfactory sensory
neuron.
13. Viral population growth models. 2nd Edition.
Encyclopedia of Biostatistics 2ND Edition, 2005
(Wiley, New York).
12. A note on vaccination against meningococcal meningitis
in infants.
Epidemiology and
Infection 132, 999-1000. (2004).
11. On the behavior of solutions in viral
dynamical models.
10. A mathematical model
for evaluating the impact of vaccination schedules:
application to Neisseria meningitidis.
Epidemiology and Infection, 130, 419-(2003).
9. Epidemic spread and bifurcation effects in
tw0-dimensional network models with viral dynamics.
Physical Review E 64, 041918, 2001
8. Enhancement of epidemic spread by noise and
stochastic resonance in
spatial network models
with viral dynamics.
Physical Review E 61, 5611-5619,
2000
7. Nature of equilibria and effects of drug
treatments in some viral
population dynamical models.
IMA J
Math.Appl.Biol.Med. 17, 311-327, 2000.
6. First passage time to detection in stochastic
population dynamical models for HIV-1
Applied Math Lett 13, 79-83, 2000
5. Iteraction between viral population dynamics
and demography in the spread of disease.
4. Direct HIV testing in blood donations: variation
of the yield with detection threshold and pool size.
Transfusion 39, 1141-1144, 1999.
3. Variability in early HIV-1 population
dynamics.
2. A stochastic model for early HIV-1 population
dynamics.
J Theor Biol 195, 451-463,
1998.
1. Spatial epidemic network models with viral dyamics.
Physical Review E 57,2163-2169, 1998.
POPULATION DYNAMICS AND DEMOGRAPHY
17. Population growth with randomly distributed
jumps.
J.
Mathematical Biology 36, 169-187, 1997.
16. World and regional populations.
15. World population.
14. Simple mathematical models for urban growth.
Proc. Roy. Soc. A 438,
171-181, 1992.
13. Logistic population growth under random
dispersal.
Bulletin Math Biol 49,
495-506, 1987.
12. Population projections for Australia and New
Zealand by the logistic method.
New Zealand Stat 21, 35-40, 1986.
11. Effect of field geometry on the spread of
crop disease.
Protection Ecology 4, 81-108, 1982.
10. Matrix methods for predicting Australia's
population.
9. Logistic growth with random density
independent disasters.
Theoretical Population
Biology 19, 1-18, 1981.
8. Persistence times of populations with large
random fluctuations.
Theoretical Population
Biology 14, 46-61, 1978.
7. Eradication times of cell populations with
random killing of fractions of the cell mass.
6. The effects of random selection on gene
frequency.
Mathematical Biosciences 30, 113-128, 1976.
5. Stochastic integrals and their relation to
some diffusion models of population growth and gene frequency.
4. Some stochastic growth processes
. Mathematical Problems in Biology 1974
3. Viability effects on density-independent
population growth.
2. A diffusion model for Gompertzian growth.
1. A study of some diffusion models of
population growth.
Theor. Pop. Biol. 5, 345-357,
1974,
APPLIED
PROBABILITY, APPLIED MATHEMATICS AND STATISTICS
14. A Bayesian method for combining statistical
tests.
J. Statistical Planning
& Inference 78, 317-323, 1999.
13. On the simulation of biological diffusion
processes.
Comput. Biol. Med. 27,
1-7, 1997.
12. A weighted nonparametric procedure for the
combination of events.
Biometrical J. 36,
1005-1012, 1994.
11. On the effects of random perturbations in a
nonlinear system.
J. Chem Phys 97, 7013-7014, 1992
10. Shift of equilibria by noise.
Aust National Univ Report 1992
9. Perturbative analysis of random nonlinear
reaction-diffusion systems.
Physica Scripta 37, 321-322, 1988.
8. Use of Green's function matrices for systems
of diffusion equations.
International J. Systems Science 1988
7. Statistical properties of perturbative
nonlinear random diffusion from
stochastic integral representations.
Physics Letters A 122, 117-120,
1987.
6. First passage time of Markov processes to
moving barriers.
J. Applied Probability 21, 695-709, 1984.
5. Simplifed reaction-diffusion equations for
potassium and calcium ion concentrations during spreading cortical
depression.
International J.
Neuroscience 12, 95-107, 1981.
4. Evidence of soliton-like behavior of solitary
waves in a nonlinear reaction-diffusion system.
SIAM J Applied Math 39, 310-322, 1980.
3. Solitons in a
reaction-diffusion system.
2. On the first exit time problem for temporally
homogeneous Markov processes.
J. Applied Probability 13, 39-48, 1976.
1. Transition densities for some classes of
biological random processes.
4. Effects of partial cross sections on the
energy distribution of slow secondary electrons.
J. Chem Phys 64, 333-336, 1976.
3. On the photoionization cross section and
Rydberg series of O2.
J Quant Spect Rad Transf 11, 391-397, 1971.
2. On the validity of the Franck-Condon factor
approximation for photo-ionizing transitions
of O2.
J Quant Spect Rad Transf 10, 653-657, 1970.
1. Calculation of the photoionization cross
section of N2 from first threshold to 500 Angstroms