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.
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 (2007-2011)
Properties
of I_A in a serotonergic neuron of the
dorsal
raphe nucleus, with Nicholas Penington, preprint (2011) submitted to Brain Research.
Predicting
the probability of persistence of HIV infection with the standard model,
with Patrick Shipman, Journal of
Biological Systems (in press), preprint (2011).
Quantitative aspects of L-type Ca++ currents, Progress in Neurobiology 96, 1-31 (2012). preprint (2011).
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 (2011).
Stochastic Modeling of Spreading Cortical
Depression, Springer Lecture Notes in Mathematics Biosciences,
"Stochastic Differential Equation
Models with Applications", Chapter 8 (in press). preprint (2011).
Effects of various spatial distributions
of noise on periodic spiking,
J Computational Neuroscience 30, 361-371 (2011), with Jürgen
Jost.
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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