Henry C. Tuckwell
MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES (MIS MPI), LEIPZIG, GERMANY
EMAIL tuckwell at mis.mpg.de
ANNOUNCEMENT OF A
SPECIAL CONFERENCE IN MEMORIAM OF PROFESSOR LUIGI M RICCIARDI
JUNE 4-8, 2012. HOTEL LLOYD'S BAIA, VIETRI SUL MARE,
ITALY.
MEETING: "60 YEARS OF HODGKIN AND
HUXLEY",
TRINITY COLLEGE, CAMBRIDGE UK
JULY 12-13, 2012
BOOKS
INTRODUCTION TO ELEMENTARY APPLICATIONS STOCHASTIC PROCESSES
THEORETICAL NEUROBIOLOGY VOLUMES 1 AND 2
OF PROBABILITY THEORY IN THE NEUROSCIENCES
CAMBRIDGE UNIV
PRESS, 1988 CHAPMAN & HALL-CRC 1995 SIAM 1989
EXERCISES FOR INTRO TO THEORETICAL
RECENT OR FORTHCOMING ARTICLES (2007-2012)
Analysis of inverse stochastic resonance
and the long-term firing of Hodgkin-Huxley neurons
with
Gaussian white noise, with Juergen Jost, Physica A 2012
(submitted)
Properties
of I_A in a neuron of the
dorsal
raphe nucleus, with Nicholas Penington, Brain Research 1449, 60-68 (2012)
Quantitative aspects of L-type Ca++ currents, Progress in Neurobiology 96, 1-31 (2012). preprint.
Stochastic Partial Differential Equation Models in Neurobiology: linear and nonlinear models for
spiking
neurons, Springer
Lecture Notes in Mathematics Biosciences,
"Stochastic Differential Equation
Models with Applications", Chapter 6 (in press). preprint (2012).
Stochastic Modeling of Spreading Cortical
Depression, Springer Lecture Notes in Mathematics Biosciences,
"Stochastic Differential Equation
Models with Applications", Chapter 8 (in press). preprint (2012).
Effects of various spatial distributions
of noise on periodic spiking,
J Computational
Neuroscience 30, 361-371 (2011), with Jürgen Jost.
Predicting the probability of persistence of HIV infection with the standard model,
with Patrick Shipman, Journal of Biological Systems 19, 747-762 (2011)
Weak noise powerfully inhibits rhythmic spiking, PLoS
Computational Biology 6, e1000794
(2010), with Jürgen Jost.
Inhibition of rhythmic
neural spiking by noise (with Jürgen Jost and Boris Gutkin), Naturwissenchaften 96:1091–1097 (2009).
Moment analysis of the Hodgkin-Huxley system with additive noise (with Jürgen Jost), Physica A 388 (2009) 4115_4125.
The inhibition and modulation of rhythmic
neuronal spiking by noise, (with Jürgen Jost and Boris Gutkin), Phys Rev E, 80,
031907 (2009).
Analytical
and simulation results for the stochastic spatial Fitzhugh-Nagumo neuron, Neural Computation 20, 3003
(2008)
Mathematical modeling of cortical spreading
depression: spiral and
reverberating
waves, American
Institute of Physics Conf. Proc, Vol. 1028, pp 46-64
(2008).
Mathematics
in the Biological Sciences,
invited contribution to Les Déchiffreurs,
Institut
Hautes Etudes Scientifiques, Bures Sur Yvette, France. Belin,
Paris (2008).
The
transient termination of spiking by stochastic inputs in a pair of coupled Type
1 neurons,
(with
Boris S. Gutkin and Jürgen Jost), Eurohysics Letters 81,
20005 (2008).
Nonlinear
effects in white-noise driven spatial diffusion: general analytical results,
Physica A 387, 1455-1463
(2008).
Random
perturbations of spiking activity in a pair of coupled neurons, (with
Boris S. Gutkin
and
Jürgen Jost) Proceedings: European
Conference on Complex Systems, Dresden (2007).
Extended
version: Theory in Biosciences 127, 135 (2008).
The probability of HIV infection in a new
host and its reduction with microbicides
(with P.D. Shipman and A.S.
Perelson). Math. Biosciences. 214, 81
(2008).
Dynamical modeling of viral spread in
spatially distributed
populations: stochastic origins of
oscillations
and density
dependence (with Laurent Toubiana) . BioSystems 90 , 546–559
(2007).
On reaction
dynamics at dopamine synapses.
International Journal of
Neuroscience 117, 667-679 (2007).
Some properties of a simple stochastic
epidemic model
of SIR type
(with Ruth J Williams).
Mathematical Biosciences 208, 76–97 (2007).
Computation of spiking activity for a stochastic spatial neuron model: Effects of spatial distribution of
input on bimodality and CV of the ISI distribution.
Mathematical Biosciences 207,
246-260 (2007).
ARTICLES PRIOR TO 2006 (CATEGORIES) ARTICLES PRIOR TO 2007 (CHRONOLOGICAL)
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