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Bell, Jonathan

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Author ID: bell.jonathan Recent zbMATH articles by "Bell, Jonathan"
Published as: Bell, Jonathan; Bell, J.
Documents Indexed: 46 Publications since 1978

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 262 times in 183 Documents Cited by Year
Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons. Zbl 0536.34050
Bell, Jonathan; Cosner, Chris
70
1984
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
64
1981
Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory. Zbl 0597.92009
Chi, Henjin; Bell, Jonathan; Hassard, Brian
37
1986
Study of propagation along nonuniform excitable fibers. Zbl 0795.92008
Zhou, Ying; Bell, Jonathan
11
1994
Model of the dynamics of receptor potential in a mechanoreceptor. Zbl 0761.92011
Bell, Jonathan; Holmes, Mark
7
1992
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004
Avdonin, Sergei; Bell, Jonathan
7
2015
A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009
Bell, Jonathan; Craciun, Gheorghe
5
2005
Behaviour of some models of myelinated axons. Zbl 0611.92011
Bell, Jonathan
5
1984
Threshold conditions for a diffusive model of a myelinated axon. Zbl 0542.92009
Bell, J.; Cosner, C.
5
1983
Convergence results for the particle PHD filter. Zbl 1373.94559
Clark, D. E.; Bell, J.
4
2006
A dendritic cable model for the amplification of synaptic potentials by an ensemble average of persistent sodium channels. Zbl 0978.92005
Poznanski, R. R.; Bell, J.
4
2000
A mechanoreceptor model for rapidly and slowly adapting afferents subjected to periodic vibratory stimuli. Zbl 0850.92024
Slavík, Petr; Bell, Jonathan
4
1995
Stability properties of a model of parallel nerve fibers. Zbl 0431.92010
Bell, Jonathan; Cosner, Chris
4
1981
On the solutions of a nerve conduction equation. Zbl 0449.35084
Bell, Jonathan; Cook, L. Pamela
4
1978
Threshold conditions for two diffusion models suggested by nerve impulse conduction. Zbl 0609.92014
Bell, Jonathan; Cosner, Chris
3
1986
A model of a sensory mechanoreceptor derived from homogenization. Zbl 0686.92008
Holmes, Mark H.; Bell, Jonathan
3
1990
Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011
Avdonin, Sergei; Bell, Jonathan
3
2013
Spine-density dependence of the qualitative behavior of a model of a nerve fiber with excitable spines. Zbl 0810.35040
Chen, Pei-Li; Bell, Jonathan
3
1994
Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119
Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash
2
2017
On solutions to a quasi-linear diffusion problem from the study of soft tissue. Zbl 0751.35002
Bell, Jonathan; Friedman, Avner; Lacey, Andrew A.
2
1991
A model of the nerve action potential. Zbl 0431.92011
Bell, Jonathan; Cook, Pamela L.
2
1979
Modeling parallel, unmyelinated axons: Pulse trapping and ephaptic transmission. Zbl 0477.92007
Bell, Jonathan
2
1981
Parametric dependence of conduction speed for a diffusive model of a myelinated axon. Zbl 0609.92015
Bell, Jonathan
2
1986
Source and coefficient identification problems for the wave equation on graphs. Zbl 1425.93128
Avdonin, Sergei; Bell, Jonathan; Mikhaylov, Victor; Nurtazina, Karlygash
1
2019
Auditory transduction: A model for the role of intracellular calcium in short-term adaptation. Zbl 0754.92006
Holmes, Mark H.; Bell, Jonathan
1
1991
Electrical interactions between parallel nerve fibers: A model and some results. Zbl 0439.92009
Bell, Jonathan
1
1980
A note on the stability of traveling-wave solutions to a class of reaction-diffusion systems. Zbl 0454.35048
Bell, Jonathan
1
1981
Inverse problems for some cable models of dendrites. 2nd ed. Zbl 1091.92012
Bell, Jonathan
1
2005
Modeling fibrous cap formation in atherosclerotic plaque development: stability and oscillatory behavior. Zbl 1422.92076
Anlamlert, Wanwarat; Lenbury, Yongwimon; Bell, Jonathan
1
2017
Behaviour of a model for the synapse of an auditory receptor cell. Zbl 0609.92007
Bell, Jonathan; Holmes, Mark H.
1
1986
Global solutions and long-time behavior to a Fitzhugh-Nagumo myelinated axon model. Zbl 0679.35002
Chen, Pei-Li; Bell, Jonathan
1
1989
Analysis of a model of membrane potential for a skin receptor. Zbl 0967.92004
Krzyzanski, Wojciech; Bell, Jonathan
1
1999
Source and coefficient identification problems for the wave equation on graphs. Zbl 1425.93128
Avdonin, Sergei; Bell, Jonathan; Mikhaylov, Victor; Nurtazina, Karlygash
1
2019
Determining distributed parameters in a neuronal cable model on a tree graph. Zbl 1366.93119
Avdonin, Sergei; Bell, Jonathan; Nurtazina, Karlygash
2
2017
Modeling fibrous cap formation in atherosclerotic plaque development: stability and oscillatory behavior. Zbl 1422.92076
Anlamlert, Wanwarat; Lenbury, Yongwimon; Bell, Jonathan
1
2017
Determining a distributed conductance parameter for a neuronal cable model defined on a tree graph. Zbl 1364.92004
Avdonin, Sergei; Bell, Jonathan
7
2015
Determining a distributed parameter in a neural cable model via a boundary control method. Zbl 1264.92011
Avdonin, Sergei; Bell, Jonathan
3
2013
Convergence results for the particle PHD filter. Zbl 1373.94559
Clark, D. E.; Bell, J.
4
2006
A distributed parameter identification problem in neuronal cable theory models. Zbl 1063.92009
Bell, Jonathan; Craciun, Gheorghe
5
2005
Inverse problems for some cable models of dendrites. 2nd ed. Zbl 1091.92012
Bell, Jonathan
1
2005
A dendritic cable model for the amplification of synaptic potentials by an ensemble average of persistent sodium channels. Zbl 0978.92005
Poznanski, R. R.; Bell, J.
4
2000
Analysis of a model of membrane potential for a skin receptor. Zbl 0967.92004
Krzyzanski, Wojciech; Bell, Jonathan
1
1999
A mechanoreceptor model for rapidly and slowly adapting afferents subjected to periodic vibratory stimuli. Zbl 0850.92024
Slavík, Petr; Bell, Jonathan
4
1995
Study of propagation along nonuniform excitable fibers. Zbl 0795.92008
Zhou, Ying; Bell, Jonathan
11
1994
Spine-density dependence of the qualitative behavior of a model of a nerve fiber with excitable spines. Zbl 0810.35040
Chen, Pei-Li; Bell, Jonathan
3
1994
Model of the dynamics of receptor potential in a mechanoreceptor. Zbl 0761.92011
Bell, Jonathan; Holmes, Mark
7
1992
On solutions to a quasi-linear diffusion problem from the study of soft tissue. Zbl 0751.35002
Bell, Jonathan; Friedman, Avner; Lacey, Andrew A.
2
1991
Auditory transduction: A model for the role of intracellular calcium in short-term adaptation. Zbl 0754.92006
Holmes, Mark H.; Bell, Jonathan
1
1991
A model of a sensory mechanoreceptor derived from homogenization. Zbl 0686.92008
Holmes, Mark H.; Bell, Jonathan
3
1990
Global solutions and long-time behavior to a Fitzhugh-Nagumo myelinated axon model. Zbl 0679.35002
Chen, Pei-Li; Bell, Jonathan
1
1989
Numerical solution of a nonlinear advance-delay-differential equation from nerve conduction theory. Zbl 0597.92009
Chi, Henjin; Bell, Jonathan; Hassard, Brian
37
1986
Threshold conditions for two diffusion models suggested by nerve impulse conduction. Zbl 0609.92014
Bell, Jonathan; Cosner, Chris
3
1986
Parametric dependence of conduction speed for a diffusive model of a myelinated axon. Zbl 0609.92015
Bell, Jonathan
2
1986
Behaviour of a model for the synapse of an auditory receptor cell. Zbl 0609.92007
Bell, Jonathan; Holmes, Mark H.
1
1986
Threshold behavior and propagation for nonlinear differential-difference systems motivated by modeling myelinated axons. Zbl 0536.34050
Bell, Jonathan; Cosner, Chris
70
1984
Behaviour of some models of myelinated axons. Zbl 0611.92011
Bell, Jonathan
5
1984
Threshold conditions for a diffusive model of a myelinated axon. Zbl 0542.92009
Bell, J.; Cosner, C.
5
1983
Some threshold results for models of myelinated nerves. Zbl 0454.92009
Bell, Jonathan
64
1981
Stability properties of a model of parallel nerve fibers. Zbl 0431.92010
Bell, Jonathan; Cosner, Chris
4
1981
Modeling parallel, unmyelinated axons: Pulse trapping and ephaptic transmission. Zbl 0477.92007
Bell, Jonathan
2
1981
A note on the stability of traveling-wave solutions to a class of reaction-diffusion systems. Zbl 0454.35048
Bell, Jonathan
1
1981
Electrical interactions between parallel nerve fibers: A model and some results. Zbl 0439.92009
Bell, Jonathan
1
1980
A model of the nerve action potential. Zbl 0431.92011
Bell, Jonathan; Cook, Pamela L.
2
1979
On the solutions of a nerve conduction equation. Zbl 0449.35084
Bell, Jonathan; Cook, L. Pamela
4
1978
all top 5

Cited by 222 Authors

13 Bell, Jonathan
12 Hupkes, Hermen Jan
12 Wang, Bixiang
8 Ford, Neville J.
7 Avdonin, Sergeĭ Anatol’evich
7 Lumb, Patricia M.
7 Shen, Wenxian
6 Abdallah, Ahmed Y.
6 Lima, Pedro Miguel
6 Van Vleck, Erik S.
6 Zhou, Shengfan
5 Caraballo Garrido, Tomás
5 Cosner, Chris
5 Hsu, Cheng-Hsiung
5 Teodoro, M. Filomena
5 Valero, José
5 Zou, Xingfu
4 Han, Xiaoying
4 Lin, Song-Sun
4 Lu, Kening
4 Morillas, Francisco G.
4 Stehlík, Petr
4 Volek, Jonáš
3 Bates, Peter W.
3 Hoffman, Aaron
3 Holmes, Mark H.
3 Li, Yuexian
3 Ma, Shiwang
3 Morelli, Leonardo
3 Verduyn Lunel, Sjoerd M.
2 Baer, Steven M.
2 Chen, Pei-Li
2 Coombes, Stephen
2 González, Cesáreo
2 Grindrod, Peter
2 Huang, Jianhua
2 Ikeda, Tsutomu
2 Keener, James P.
2 Kloeden, Peter Eris
2 Liu, Yurong
2 Lu, Gang
2 Lv, Yan
2 Mallet-Paret, John Joseph
2 Mikhaylov, Victor S.
2 Nagai, Toshitaka
2 Ouyang, Zigen
2 Poznanski, Roman R.
2 Prat, Alain
2 Sandstede, Björn
2 Schmalfuß, Björn
2 Shi, Wei
2 Shih, Chih-Wen
2 Slavík, Antonín
2 Sleeman, Brian D.
2 Tuma, Elías
2 Zanini, Chiara
2 Zanolin, Fabio
2 Zhou, Ying
2 Zinner, Bertram
1 Abdon, Choque Rivero
1 Alsaadi, Fuad Eid S.
1 Arabzadeh, Ehsan
1 Arioli, Gianni
1 Ban, Jungchao
1 Bensmaïa, Sliman
1 Bessaih, Hakima
1 Billing, S. A.
1 Boughoufala, Amira M.
1 Boumenir, Amin A.
1 Bressloff, Paul C.
1 Cantrell, Robert Stephen
1 Carpenter, Gail A.
1 Carpio, Ana
1 Cassell, J. S.
1 Chakravarty, Santabrata
1 Chen, Zhang
1 Cheng, Chang-Yuan
1 Chi, Henjin
1 Chow, Shui-Nee
1 Coca, Daniel
1 Cook, Pamela L.
1 Crook, Sharon M.
1 Da Silva, Carmen
1 Diamond, Mathew E.
1 Diblík, Josef
1 Ding, Weiwei
1 Dur-e-Ahmad, Muhammad
1 Edward, Julian
1 Elmer, Christopher Erhart
1 Escalante, René
1 Ferreira, José Manuel
1 Fife, Paul C.
1 Figueroa, Rubén
1 Fujita, Kazuhisa
1 Fung, P. K.
1 Garrido-Atienza, María José
1 Gerling, Gregory J.
1 Grisell, R. D. S.
1 Gu, Anhui
1 Guin, Lakshmi Narayan
...and 122 more Authors
all top 5

Cited in 68 Serials

20 Journal of Differential Equations
13 Mathematical Biosciences
11 Journal of Mathematical Analysis and Applications
9 Journal of Mathematical Biology
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 Physica D
8 Journal of Dynamics and Differential Equations
6 Journal of Computational and Applied Mathematics
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
4 Mathematical and Computer Modelling
4 Journal of Difference Equations and Applications
4 Nonlinear Analysis. Real World Applications
4 Discrete and Continuous Dynamical Systems. Series B
3 Applied Mathematics and Computation
3 Discrete and Continuous Dynamical Systems
3 Inverse Problems and Imaging
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Bulletin of Mathematical Biology
2 Chaos, Solitons and Fractals
2 Proceedings of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Applied Numerical Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Computational Neuroscience
2 Discrete Dynamics in Nature and Society
2 Acta Mathematica Sinica. English Series
2 SIAM Journal on Applied Dynamical Systems
2 Frontiers of Mathematics in China
1 Applicable Analysis
1 Biological Cybernetics
1 Computers & Mathematics with Applications
1 International Journal of Systems Science
1 Journal of Mathematical Physics
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Mathematics of Computation
1 BIT
1 Memoirs of the American Mathematical Society
1 Monatshefte für Mathematik
1 Numerical Functional Analysis and Optimization
1 Numerische Mathematik
1 Proceedings of the Edinburgh Mathematical Society. Series II
1 SIAM Journal on Numerical Analysis
1 Transactions of the American Mathematical Society
1 Stochastic Analysis and Applications
1 Japan Journal of Applied Mathematics
1 Neural Computation
1 Japan Journal of Industrial and Applied Mathematics
1 Numerical Algorithms
1 SIAM Journal on Mathematical Analysis
1 Journal of Nonlinear Science
1 Calculus of Variations and Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Mathematical Problems in Engineering
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Chaos
1 International Journal of Applied Mathematics and Computer Science
1 Stochastics and Dynamics
1 Communications on Pure and Applied Analysis
1 Advances in Difference Equations
1 Bulletin of the American Mathematical Society
1 Networks and Heterogeneous Media
1 Journal of Nonlinear Science and Applications
1 Journal of Theoretical Biology
1 Journal of Applied Analysis and Computation
1 Advances in Nonlinear Analysis

Citations by Year