Henry C. Tuckwell 

 

 

MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES  

MIS MPI), LEIPZIG, GERMANY  (Associate)

EMAIL tuckwell at mis.mpg.de

EDUCATION  & BRIEF CV       

 

BOOKS          

Introduction to Theoretical Neurobiology, Volume 1. Linear Cable Theory and Dendritic Structure. Cambridge University Press, 1988.

Introduction to Theoretical Neurobiology, Volume 2. Nonlinear and Stochastic Theories. Cambridge University Press, 1988.

Stochastic Processes in the Neurosciences. SIAM, 1989.

Elementary Applications of Probability Theory. Chapman and Hall, 1988.

Elementary Applications of Probability Theory: with an Introduction to Stochastic Differential Equations.  Chapman and Hall/CRC. 1995

Exercises For Introduction To Theoretical Neurobiology.

 

 

 

                       

 

ARTICLES PRIOR TO 2007 (CHRONOLOGICAL)

ARTICLES PRIOR TO 2006 (CATEGORIES)   

JOURNAL OF THEORETICAL NEUROBIOLOGY - DOWNLOADABLE ARCHIVE 1981-1987

RECENT OR FORTHCOMING ARTICLES (2007-2013)

Biophysical properties and computational modeling of calcium spikes in serotonergic neurons of the dorsal raphe nucleus, Biosytems 112, 204-213,  2013. PDF

 

Stochastic Partial Differential Equation Models in Neurobiology: linear and nonlinear models for spiking neurons, Springer Lecture Notes in Mathematics,"Stochastic Biomathematical models", Chapter 6, 2013. PDF

 

Stochastic Modeling of Spreading Cortical Depression, Springer Lecture Notes in Mathematics.,"Stochastic Biomathematical Models", Chapter 8, 2013. PDF

 

Computational modeling of spike generation in serotonergic neurons of the dorsal raphe nucleus, with Nicholas Penington, preprint, 2013.  PDF

 

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

with Gaussian white noise, with Juergen Jost, Physica A 391, 5311-5325, 2012.  PDF 

 

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).  PDF

 

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 RJ Williams)

  Math Biosci 208, 76-97 (2007)

 

 

 

Computation of spiking activity for a stochastic spatial neuron model.

Math Biosci 207, 246-260 (2007)