Henry C. Tuckwell
MAX PLANCK INSTITUTE FOR MATHEMATICS IN THE SCIENCES
MIS MPI), LEIPZIG, GERMANY (Associate)
EMAIL tuckwell at mis.mpg.de
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
RECENT OR FORTHCOMING ARTICLES (2007-2013)
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,
Predicting the probability of persistence of HIV infection with the standard model,
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).
Mathematics in the Biological Sciences, invited contribution to Les Déchiffreurs,
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,
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).
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).
Some properties of a simple stochastic epidemic model of SIR type (with RJ Williams)
Computation of spiking activity for a stochastic spatial neuron model.