Henry C. Tuckwell
MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES,
tuckwell
at
mis.mpg.de
RECENT
PAPERS - SEE BELOW
ARTICLES PRIOR TO 2007 (CHRONOLOGICAL)
ARTICLES PRIOR TO 2006
(CATEGORIES)
RECENT OR
FORTHCOMING MEETINGS
STOCHASTIC MODELS IN NEUROSCIENCE,
CIRM, MARSEILLE FRANCE, 18-22 JAN 2010
COMPUTATIONAL
NEUROSCIENCE BERLIN, JULY 18-23, 2009
WORKSHOPS
NON-LOCAL
NEURONAL CONNECTIVITY, WAVE CONTROL AND MIGRAINE MODELING,
"Stochastic and geometrical effects on SD
wave propagation"
COMPUTATIONAL NEUROSCIENCE, WARWICK MATHEMATICS INSTITUTE, U.K., DEC 8-11, 2008
"Stochastic
effects on nonlinear waves in neural systems"
LINKS: COMPUTATIONAL
NEUROSCIENCE
PROBABILITY WEB
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 (2007-2009)
Stochastic Partial Differential Equation
Models in Neurobiology, Springer Lecture Notes in Mathematics Biosciences,
Stochastic Differential Equation Models
with Applications, in preparation (2010).
Noise in the spatial Hodgkin-Huxley system, in preparation, (2009).
Noise effects in physiological models of
pacemaker neurons, in preparation (2009).
Parameters of the Ornstein-Uhlenbeck neuronal model, (with Laura Sacerdote), in preparation (2009).
Inhibition of rhythmic neural spiking by
noise (with Juergen Jost and Boris Gutkin),
Naturwissenchaften
avail online (2009) DOI
10.1007/s00114-009-0570-5.
Moment analysis of the Hodgkin-Huxley system with additive noise (with Juergen Jost), Physica A avail online (2009)
http://dx.doi.org/10.1016/j.physa.2009.06.029
The
inhibition and modulation of rhythmic neuronal spiking by noise, (with Juergen
Jost and Boris Gutkin), (2009), Phys Rev E, submitted.
Stochastic
modeling of cortical spreading depression, in preparation (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).
Effects of noise
in coupled Hodgkin-Huxley neurons. In
preparation (2009).
(with Boris S.
Gutkin and Juergen Jost),
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 Juergen 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 Juergen 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).
Estimation of spike train
statistics in spontaneously active biological neural networks. (with
Jianfeng
Feng)
In, Network: From Biology to Theory,
Springer,
Berlin. Ed. J-F. Feng, J.Jost, M.Qian
(2007).
Some properties
of a simple stochastic epidemic model of SIR type. (with Ruth J.
Williams)
Mathematical
Biosciences 208, 76-97 (2007).
On reaction dynamics at dopamine synapses. International
J. Neuroscience, (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).
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