×

zbMATH — the first resource for mathematics

Tuckwell, Henry C.

Compute Distance To:
Author ID: tuckwell.henry-c Recent zbMATH articles by "Tuckwell, Henry C."
Published as: Tuckwell, Henry C.; Tuckwell, H. C.
External Links: MGP
Documents Indexed: 53 Publications since 1974, including 5 Books

Publications by Year

Citations contained in zbMATH Open

40 Publications have been cited 527 times in 420 Documents Cited by Year
Introduction to theoretical neurobiology. Volume 2: Nonlinear and stochastic theories. Zbl 0647.92009
Tuckwell, Henry C.
166
1988
Stochastic processes in the neurosciences. Zbl 0675.92001
Tuckwell, Henry C.
38
1989
A study of some diffusion models of population growth. Zbl 0291.92030
Tuckwell, H. C.
30
1974
On the first-exit time problem for temporally homogeneous Markov processes. Zbl 0335.60046
Tuckwell, Henry C.
25
1976
Persistence times of populations with large random fluctuations. Zbl 0407.92018
Hanson, Floyd B.; Tuckwell, Henry C.
25
1978
Logistic growth with random density independent disasters. Zbl 0451.92014
Hanson, Floyd B.; Tuckwell, Henry C.
23
1981
Some properties of a simple stochastic epidemic model of SIR type. Zbl 1116.92061
Tuckwell, Henry C.; Williams, Ruth J.
21
2007
Population growth with randomly distributed jumps. Zbl 0891.92022
Hanson, Floyd B.; Tuckwell, Henry C.
18
1997
Introduction to theoretical neurobiology. Vol. 1: Linear cable theory and dendritic structure. Zbl 0647.92008
Tuckwell, Henry C.
17
1988
Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks. Zbl 0896.92009
Tuckwell, Henry C.; Rodriguez, Roger
12
1998
Random currents through nerve membranes. I. Uniform Poisson or white noise current in one-dimensional cables. Zbl 0536.92019
Tuckwell, Henry C.; Walsh, John B.
12
1983
Random perturbations of the reduced FitzHugh-Nagumo equation. Zbl 1064.92507
Tuckwell, Henry C.
11
1992
The response of a spatially distributed neuron to white noise current injection. Zbl 0407.60038
Wan, Frederic Y. M.; Tuckwell, Henry C.
11
1979
Analytical and simulation results for the stochastic spatial Fitzhugh-Nagumo model neuron. Zbl 1149.92010
Tuckwell, Henry C.
10
2008
Determination of firing times for the stochastic Fitzhugh-Nagumo neuronal model. Zbl 1031.68100
Tuckwell, Henry C.; Rodriguez, Roger; Wan, Frederic Y. M.
9
2003
A spatial stochastic neuronal model with Ornstein-Uhlenbeck input current. Zbl 1066.92014
Tuckwell, Henry C.; Wan, Frederic Y. M.; Rospars, Jean-Pierre
9
2002
First-passage time of Markov processes to moving barriers. Zbl 0551.60087
Tuckwell, Henry C.; Wan, Frederic Y. M.
9
1984
Logistic population growth under random dispersal. Zbl 0623.92023
Tuckwell, Henry C.; Koziol, James A.
8
1987
The interspike interval of a cable model neuron with white noise input. Zbl 0553.92010
Tuckwell, Henry C.; Wan, Frederic Y. M.; Wong, Yau Shu
8
1984
Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011
Tuckwell, Henry C.; Wan, Frederic Y. M.
8
2000
First passage time to detection in stochastic population dynamical models for HIV-1. Zbl 0962.92024
Tuckwell, H. C.; Wan, F. Y. M.
6
2000
Elementary applications of probability theory. With an introduction to stochastic differential equations. 2nd ed. Zbl 0865.60001
Tuckwell, Henry C.
6
1995
Firing rates of motoneurons with strong random synaptic excitation. Zbl 0342.92005
Tuckwell, H. C.
6
1976
Determination of the inter-spike times of neurons receiving randomly arriving post-synaptik potentials. Zbl 0301.92011
Tuckwell, Henry C.
6
1975
Stochastic partial differential equations in neurobiology: linear and nonlinear models for spiking neurons. Zbl 1390.92034
Tuckwell, Henry C.
6
2013
Coding of stimulus intensity in an olfactory receptor neuron: Role of neuron spatial extent and passive dendritic backpropagation of action potentials. Zbl 0852.92003
Vermeulen, A.; Rospars, J.-P.; Lánský, P.; Tuckwell, H. C.
3
1996
The effects of random selection on gene frequency. Zbl 0336.92010
Tuckwell, Henry C.
3
1976
Firing properties of a stochastic PDE model of a rat sensory cortex layer 2/3 pyramidal cell. Zbl 1038.92008
Iannella, Nicolangelo; Tuckwell, Henry C.; Tanaka, Shigeru
3
2004
Perturbative analysis of random nonlinear reaction-diffusion systems. Zbl 1063.35554
Tuckwell, Henry C.
2
1988
On shunting inhibition. Zbl 0598.92006
Tuckwell, H. C.
2
1986
A Bayesian method for combining statistical tests. Zbl 0956.62021
Koziol, James A.; Tuckwell, Henry C.
2
1999
Poisson processes in biology. Zbl 0472.92006
Tuckwell, Henry C.
2
1981
The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025
Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S.
2
2008
Evidence of soliton-like behavior of solitary waves in a nonlinear reaction-diffusion system. Zbl 0458.35088
Tuckwell, Henry C.
2
1980
Random fluctuations at an equilibrium of a nonlinear reaction-diffusion equation. Zbl 0770.60076
Tuckwell, Henry C.
1
1993
Some optimal stochastic control problems in neuroscience – a review. Zbl 1076.92003
Feng, Jianfeng; Chen, Xiaojiang; Tuckwell, Henry C.; Vasilaki, Eleni
1
2004
Use of Green’s function matrices for systems of diffusion equations. Zbl 0694.35090
Tuckwell, Henry C.
1
1988
Predicting the probability of persistence of HIV infection with the standard model. Zbl 1382.92181
Tuckwell, Henry C.; Shipman, Patrick D.
1
2011
Computation of spiking activity for a stochastic spatial neuron model: Effects of spatial distribution of input on bimodality and CV of the ISI distribution. Zbl 1117.92016
Tuckwell, Henry C.
1
2007
Stochastic modeling of spreading cortical depression. Zbl 1390.92035
Tuckwell, Henry C.
1
2013
Stochastic partial differential equations in neurobiology: linear and nonlinear models for spiking neurons. Zbl 1390.92034
Tuckwell, Henry C.
6
2013
Stochastic modeling of spreading cortical depression. Zbl 1390.92035
Tuckwell, Henry C.
1
2013
Predicting the probability of persistence of HIV infection with the standard model. Zbl 1382.92181
Tuckwell, Henry C.; Shipman, Patrick D.
1
2011
Analytical and simulation results for the stochastic spatial Fitzhugh-Nagumo model neuron. Zbl 1149.92010
Tuckwell, Henry C.
10
2008
The probability of HIV infection in a new host and its reduction with microbicides. Zbl 1143.92025
Tuckwell, Henry C.; Shipman, Patrick D.; Perelson, Alan S.
2
2008
Some properties of a simple stochastic epidemic model of SIR type. Zbl 1116.92061
Tuckwell, Henry C.; Williams, Ruth J.
21
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. Zbl 1117.92016
Tuckwell, Henry C.
1
2007
Firing properties of a stochastic PDE model of a rat sensory cortex layer 2/3 pyramidal cell. Zbl 1038.92008
Iannella, Nicolangelo; Tuckwell, Henry C.; Tanaka, Shigeru
3
2004
Some optimal stochastic control problems in neuroscience – a review. Zbl 1076.92003
Feng, Jianfeng; Chen, Xiaojiang; Tuckwell, Henry C.; Vasilaki, Eleni
1
2004
Determination of firing times for the stochastic Fitzhugh-Nagumo neuronal model. Zbl 1031.68100
Tuckwell, Henry C.; Rodriguez, Roger; Wan, Frederic Y. M.
9
2003
A spatial stochastic neuronal model with Ornstein-Uhlenbeck input current. Zbl 1066.92014
Tuckwell, Henry C.; Wan, Frederic Y. M.; Rospars, Jean-Pierre
9
2002
Nature of equilibria and effects of drug treatments in some simple viral population dynamical models. Zbl 0966.92011
Tuckwell, Henry C.; Wan, Frederic Y. M.
8
2000
First passage time to detection in stochastic population dynamical models for HIV-1. Zbl 0962.92024
Tuckwell, H. C.; Wan, F. Y. M.
6
2000
A Bayesian method for combining statistical tests. Zbl 0956.62021
Koziol, James A.; Tuckwell, Henry C.
2
1999
Analytical and simulation results for stochastic Fitzhugh-Nagumo neurons and neural networks. Zbl 0896.92009
Tuckwell, Henry C.; Rodriguez, Roger
12
1998
Population growth with randomly distributed jumps. Zbl 0891.92022
Hanson, Floyd B.; Tuckwell, Henry C.
18
1997
Coding of stimulus intensity in an olfactory receptor neuron: Role of neuron spatial extent and passive dendritic backpropagation of action potentials. Zbl 0852.92003
Vermeulen, A.; Rospars, J.-P.; Lánský, P.; Tuckwell, H. C.
3
1996
Elementary applications of probability theory. With an introduction to stochastic differential equations. 2nd ed. Zbl 0865.60001
Tuckwell, Henry C.
6
1995
Random fluctuations at an equilibrium of a nonlinear reaction-diffusion equation. Zbl 0770.60076
Tuckwell, Henry C.
1
1993
Random perturbations of the reduced FitzHugh-Nagumo equation. Zbl 1064.92507
Tuckwell, Henry C.
11
1992
Stochastic processes in the neurosciences. Zbl 0675.92001
Tuckwell, Henry C.
38
1989
Introduction to theoretical neurobiology. Volume 2: Nonlinear and stochastic theories. Zbl 0647.92009
Tuckwell, Henry C.
166
1988
Introduction to theoretical neurobiology. Vol. 1: Linear cable theory and dendritic structure. Zbl 0647.92008
Tuckwell, Henry C.
17
1988
Perturbative analysis of random nonlinear reaction-diffusion systems. Zbl 1063.35554
Tuckwell, Henry C.
2
1988
Use of Green’s function matrices for systems of diffusion equations. Zbl 0694.35090
Tuckwell, Henry C.
1
1988
Logistic population growth under random dispersal. Zbl 0623.92023
Tuckwell, Henry C.; Koziol, James A.
8
1987
On shunting inhibition. Zbl 0598.92006
Tuckwell, H. C.
2
1986
First-passage time of Markov processes to moving barriers. Zbl 0551.60087
Tuckwell, Henry C.; Wan, Frederic Y. M.
9
1984
The interspike interval of a cable model neuron with white noise input. Zbl 0553.92010
Tuckwell, Henry C.; Wan, Frederic Y. M.; Wong, Yau Shu
8
1984
Random currents through nerve membranes. I. Uniform Poisson or white noise current in one-dimensional cables. Zbl 0536.92019
Tuckwell, Henry C.; Walsh, John B.
12
1983
Logistic growth with random density independent disasters. Zbl 0451.92014
Hanson, Floyd B.; Tuckwell, Henry C.
23
1981
Poisson processes in biology. Zbl 0472.92006
Tuckwell, Henry C.
2
1981
Evidence of soliton-like behavior of solitary waves in a nonlinear reaction-diffusion system. Zbl 0458.35088
Tuckwell, Henry C.
2
1980
The response of a spatially distributed neuron to white noise current injection. Zbl 0407.60038
Wan, Frederic Y. M.; Tuckwell, Henry C.
11
1979
Persistence times of populations with large random fluctuations. Zbl 0407.92018
Hanson, Floyd B.; Tuckwell, Henry C.
25
1978
On the first-exit time problem for temporally homogeneous Markov processes. Zbl 0335.60046
Tuckwell, Henry C.
25
1976
Firing rates of motoneurons with strong random synaptic excitation. Zbl 0342.92005
Tuckwell, H. C.
6
1976
The effects of random selection on gene frequency. Zbl 0336.92010
Tuckwell, Henry C.
3
1976
Determination of the inter-spike times of neurons receiving randomly arriving post-synaptik potentials. Zbl 0301.92011
Tuckwell, Henry C.
6
1975
A study of some diffusion models of population growth. Zbl 0291.92030
Tuckwell, H. C.
30
1974
all top 5

Cited by 694 Authors

21 Tuckwell, Henry C.
18 Lánský, Petr
12 Pirozzi, Enrica
9 Sacerdote, Laura
8 Ricciardi, Luigi Maria
7 Kostal, Lubomir
7 Longtin, André
6 Buonocore, Aniello
6 Caputo, Luigia
6 Hanson, Floyd B.
5 Allen, Linda J. S.
5 Di Persio, Luca
5 Economou, Antonis
5 Feng, Jianfeng
5 Nobile, Amelia G.
5 Sharma, Kapil Kumar
4 Abundo, Mario
4 Albeverio, Sergio A.
4 Ditlevsen, Susanne
4 D’Onofrio, Giuseppe
4 Rodriguez, Roger
4 Rospars, Jean-Pierre
4 Zhang, Tongqian
3 Allen, Edward James
3 Cáceres, María-José
3 Cordoni, Francesco Giuseppe
3 Deng, Yingchun
3 Destexhe, Alain
3 Gairing, Jan M.
3 Gerstner, Wulfram
3 Giraudo, Maria Teresa
3 Högele, Michael Anton
3 Jiang, Daqing
3 Kadalbajoo, Mohan K.
3 Kühn, Christian
3 Ly, Cheng
3 Mastrogiacomo, Elisa
3 Miao, Anqi
3 Pakes, Anthony G.
3 Ryan, Dennis
3 Shinomoto, Shigeru
3 Smii, Boubaker
3 Tamborrino, Massimiliano
3 Timofeeva, Yulia
3 Wan, Frederic Yui-Ming
3 Xiang, Xuyan
3 Zucca, Cristina
2 Abbott, Larry F.
2 Aihara, Kazuyuki
2 Albano, Giuseppina
2 Artzrouni, Marc
2 Ascione, Giacomo
2 Bansal, Komal
2 beim Graben, Peter
2 Burkitt, Anthony N.
2 Busemeyer, Jerome R.
2 Campos, Daniel G.
2 Caraballo Garrido, Tomás
2 Carfora, Maria Francesca
2 Chong, Carsten
2 Chow, Carson C.
2 Chueshov, Igor’ Dmitrievich
2 Coca, Daniel
2 Coombes, Stephen
2 Cui, Jingan
2 Deco, Gustavo
2 Dinesh Kumar, S.
2 Florescu, Dorian
2 Fusi, Stefano
2 Gewaltig, Marc-Oliver
2 Giugliano, Michele
2 Guo, Yongfeng
2 Hayat, Tasawar
2 Höpfner, Reinhard
2 Horikawa, Yo
2 Horsthemke, Werner
2 Iannella, Nicolangelo
2 Kallianpur, Gopinath
2 Karlin, Samuel
2 Khader, Mohamed M.
2 Kim, Hideaki
2 Kobayashi, Ryota
2 Kosenkova, Tetiana
2 Koyama, Shinsuke
2 La Camera, Giancarlo
2 Leiva, Víctor
2 Li, Dan
2 Lindner, Benjamin
2 Liu, Qun
2 Llopis, Isaac
2 Maass, Wolfgang
2 Méndez, Vicenç
2 Nageshwar Rao, Ragi
2 Petrov, Nikola P.
2 Pokora, Ondřej
2 Poznanski, Roman R.
2 Pramod Chakravarthy, Podila
2 Rai, Pratima
2 Reneke, James A.
2 Richardson, Magnus J. E.
...and 594 more Authors
all top 5

Cited in 133 Serials

42 Biological Cybernetics
33 Mathematical Biosciences
28 Neural Computation
18 Theoretical Population Biology
18 Journal of Computational Neuroscience
14 Applied Mathematics and Computation
13 Mathematical Biosciences and Engineering
12 Journal of Mathematical Biology
10 Chaos, Solitons and Fractals
10 Journal of Theoretical Biology
9 Physica D
8 Stochastic Processes and their Applications
8 Methodology and Computing in Applied Probability
7 Neural Networks
6 Stochastic Analysis and Applications
5 Chaos
4 Journal of Mathematical Analysis and Applications
4 Journal of Applied Probability
4 Abstract and Applied Analysis
4 Discrete and Continuous Dynamical Systems. Series B
4 International Journal of Biomathematics
4 The Journal of Mathematical Neuroscience
3 Journal of Statistical Physics
3 Bulletin of Mathematical Biology
3 Journal of Mathematical Psychology
3 Mathematics and Computers in Simulation
3 Statistics & Probability Letters
3 Applied Mathematics Letters
3 The Annals of Applied Probability
3 Applied Mathematical Modelling
3 European Journal of Operational Research
3 Differential Equations and Dynamical Systems
3 Advances in Difference Equations
2 Journal of Computational Physics
2 Applied Mathematics and Optimization
2 Journal of Computational and Applied Mathematics
2 Applied Numerical Mathematics
2 Communications in Statistics. Theory and Methods
2 SIAM Journal on Mathematical Analysis
2 Statistical Inference for Stochastic Processes
2 Journal of Biological Systems
2 Probability in the Engineering and Informational Sciences
2 Stochastic Models
2 Computational & Mathematical Methods in Medicine
2 Journal of Statistical Theory and Practice
2 Electronic Journal of Statistics
2 SIAM/ASA Journal on Uncertainty Quantification
1 Modern Physics Letters B
1 Computers & Mathematics with Applications
1 International Journal of Control
1 International Journal of Systems Science
1 Information Processing Letters
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of the Franklin Institute
1 Journal of Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physics Letters. A
1 Physics Reports
1 Rocky Mountain Journal of Mathematics
1 Stochastics
1 Wave Motion
1 Mathematics of Computation
1 Annals of the Institute of Statistical Mathematics
1 The Annals of Probability
1 The Annals of Statistics
1 Automatica
1 Information Sciences
1 Journal of Differential Equations
1 Journal of Multivariate Analysis
1 Journal of Statistical Planning and Inference
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Pacific Journal of Mathematics
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Ricerche di Matematica
1 SIAM Journal on Numerical Analysis
1 Theoretical Computer Science
1 Tohoku Mathematical Journal. Second Series
1 Journal of Information & Optimization Sciences
1 Systems & Control Letters
1 Mathematical Social Sciences
1 Insurance Mathematics & Economics
1 Circuits, Systems, and Signal Processing
1 Probability Theory and Related Fields
1 Information and Computation
1 Journal of Theoretical Probability
1 Mathematical and Computer Modelling
1 Publicacions Matemàtiques
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 Communications in Partial Differential Equations
1 Communications in Statistics. Simulation and Computation
1 International Journal of Computer Mathematics
1 Journal of Non-Equilibrium Thermodynamics
1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
1 Potential Analysis
1 Test
1 SIAM Journal on Scientific Computing
1 Communications in Numerical Methods in Engineering
1 Theory of Probability and Mathematical Statistics
1 Mathematical Methods of Statistics
...and 33 more Serials

Citations by Year