Refereed
Papers, Refereed Proceedings and Book Chapters
Please
note : The copyrights to these
publications are held by their publishers. The pdf files provided here may be
used only for single copies for personal use, as though they were reprints
provided by mail. They may not be reposted on other web sites or used for any
other purpose without the express permission of the appropriate publishers.
Full
List
1.
Brodeur N, Seely AJE, Kenny GP, Longtin A,
Stochastic dynamical model of entropy control in exercising humans under heat
stress: Age restrains adaptation and variability. (submitted)
2.
Lafond-Mercier R, Wallach A, Maler L, Longtin A,
Neural heterogeneity enables adaptive encoding of time sequences. (submitted)
3.
René A, Longtin A, Selecting fitted models under
epistemic uncertainty using a stochastic process on quantile functions. (under
2nd review, arXiv:
5810553)
4.
Brodeur N, Longtin A, Kenny GP, Seely AJE, Entropy
production, dissipation and accumulation in humans:
clinical implications for understanding health and illness. (under 2nd
review)
5.
Girardi-Schappo
M, Maler L, Longtin A, Optimal rate-variance coding with firing
threshold adaptation near criticality. (under 2nd review)
6.
Lefebvre J, Clappison A, Longtin A, Hutt A (2025)
Myelin-induced gain control in nonlinear neural networks. Nature
Communications Physics (in press)
7. Tavakoli S Kamyar, Longtin A (2025) Signal de-mixing using multi-delay multi-layer
reservoir computing. PLoS Complex Systems 2(2),
e0000034 (https://doi.org/10.1371/journal.pcsy.0000034)
8. Mathias R, L’Heureux I, Longtin A (2024) Threshold crossing time theory for quasi-cycles
with application to brain rhythms. Phys. Rev. E 110,
044313.
9. Xu J, Girardi-Schappo M, Béïque JC, Longtin A,
Maler L (2024) Shortcutting from self-motion
signals: quantifying trajectories and active sensing in an open maze. eLife 13:RP95764. (
https://doi.org/10.7554/eLife.95764 ) ( BioRxiv/2023/529984
) (see eLife Insight by B. Krishnan and
N. Cowan: https://doi.org/10.7554/eLife.104500
)
10. Tavakoli S. Kamyar, Longtin A (2024) Boosting reservoir computing performance with multiple delays. Phys. Rev. E 109, 054203. (DOI: 10.1103/PhysRevE.109.054203) (see viewpoint in the APS’ Physics Magazine)
11. Barlow BSM, Longtin A, Joos B (2024) Impact on backpropagation of the spatial
heterogeneity of sodium channel kinetics in the axon initial segment. PLoS Comput. Biol. 20
(3), e1011846.
12. Naud R and Longtin A (2024) Connecting levels of
analysis in the computational era. J. Physiol. 602(3), 417-420 ( http://doi.org/10.1113/JP286013
published online 2023 )
13.
Brodeur N, Notley S, Kenny GR, Longtin A, Seely AJE (2023)
Continuous monitoring of entropy production and dissipation in humans under
heat stress and exercise. Entropy 25, 1290 ( doi.org/10.3390/e25091290 )
14. Trinh AT, Girardi-Schappo M, Béïque JC, Longtin A, Maler L (2023) Adaptive spike threshold
dynamics associated with sparse spiking of hilar mossy cells are captured by a
simple model. J. Physiol. 601(19), 4397-4422 ( DOI: 10.1113/JP283728 )
15. Harkin E, Payeur A, Lynn M, Boucher JF, Caya-Bissonnette L,
Cyr D, Stewart C, Longtin A, Naud R, Béïque JC (2023) Temporal derivative computation in the dorsal raphe network
revealed by an experimentally-driven augmented
integrate-and-fire modeling framework. eLife 12, e72951(
doi.org/10.7554/eLife.72951 )
16. Palabas T, Longtin A, Ghosh D, Uzuntarla M (2022) Controlling
the spontaneous firing behavior of a neuron with astrocyte. Chaos 32,
051101.
17. Powanwe AS, Longtin A (2022) Mutual information
resonances in delay-coupled limit cycle and quasi-cycle brain rhythms. Biol.
Cybern. 116, 129-146.
18. Wallach A, Melanson A, Longtin A, Maler L (2022)
Mixed selectivity coding of sensory and motor social signals in the thalamus of
a weakly electric fish. Curr. Biol. 32, 51-63. (see Dispatches “Neural
Processing: Cracking the code to extract relevant social information”, by
V. Salazar and A. Silva)
19. Tavakoli S. Kamyar, Longtin A (2021) Dynamical
invariants and inverse period-doubling cascades in multi-delay systems. Chaos 31, 103129.
20. Tavakoli S. Kamyar, Longtin A (2021) Complexity
Collapse, Fluctuating Synchrony, and Transient Chaos in Neural Networks with
Delay Clusters. Front. Syst. Neurosci. 15, 720744.
21. Powanwe AS, Longtin A (2021) Mechanisms of flexible
information sharing through noisy oscillations. Biology 10(8), 764.
22. Braun W, Matsuzaka Y, Mushiake H, Northoff G, Longtin A (2021)
Non-additive activity modulation during a decision-making task involving
tactic selection. Cognitive Neurodyn. ( DOI.org/10.1007/s11571-021-09702-0
)
23. Powanwe AS, Longtin A (2021) Amplitude-phase
description of stochastic neural oscillators across the Hopf bifurcation. Phys.
Rev. Res. 3, 033040.
24.
Wolff A, Chen L,
Tumati S, Golesorkhi M, Gomez-Pilar J, Hu J, Jiang S, Mao Y, Longtin A,
Northoff G (2021) Prestimulus dynamics blend with the stimulus in neural
variability quenching. Neuroimage 238, 118160 (https://doi.org/10.1016/j.neuroimage.2021.118160)
25. Sancristobal B, Ferri F, Perucci MG, Romani GL, Longtin A,
Northoff G (2021) Slow resting state
fluctuations enhance neuronal and behavioral responses to looming sounds.
Brain Topography https://doi.org/10.1007/s10548-021-00826-4.
26.
Powanwe AS, Longtin A
(2021) Brain rhythm bursts are
enhanced by multiplicative noise. Chaos 31, 013117.
27. Çalim A, Longtin A, Uzuntarla M (2021) Vibrational
resonance in a neuron-astrocyte coupled model. Phil. Trans. Roy. Soc. A 20200267.
28. Nesse WH, Maler L, Longtin A (2021) Enhanced signal detection by adaptive decorrelation of interspike intervals. Neural Comput. 33, 341-375.
29. Powanwe AS, Longtin A (2020) Phase dynamics of
delay-coupled quasi-cycles with application to brain rhythms. Phys. Rev.
Research 2, 043067.
30. Tavakoli S. Kamyar, Longtin A (2020) Multi-delay
complexity collapse. Phys. Rev. Research 2, 033485.
31. René A, Longtin A, Macke J (2020) Inference of a
mesoscopic population model from population spike trains. Neural Comput. 32,
1448-1498. (article)
32. Powanwe AS, Longtin A (2019): Determinants of brain
rhythm burst statistics. Scientific Reports 9, 18335
(doi.org/10.1038/s41598-019-54444-z )
33. Yu N, Hupe G, Longtin A, Lewis JE (2019):
Electrosensory contrast signals for interacting weakly electric fish.
Frontiers Integrative Neurosci. 13, 36 (DOI: 10.3389/fnint.2019.00036)
34. Soares C, Trotter D, Longtin A, Béique JC, Naud R (2019)
Parsing out the variability of transmission at central synapses using optical
quantal analysis. Front. Synaptic Neurosci. 11, 22 (DOI:
10.3389/fnsyn.2019.00022)
35. Longtin A (2019): Electric fish: Learning to
generalize. eLife 8: e46651.
36. Melanson, A, Longtin A (2019) Data-driven
jump-diffusion modeling with application to membrane voltage fluctuations in
pyramidal neurons. J. Math. Neurosci. 9, 6 ( DOI
10.1186/s13408-019-0074-3 )
37. Naud R, Longtin A (2019) Spike-Diffuse-Spike model of
axonal propagation links demyelination to compound action potential dispersion.
J. Math. Neurosci. 9, 3 (DOI 10.1186/s13408-019-0071-6 )
38. Braun W, Longtin A (2019) Interspike interval
correlation in networks of inhibitory integrate-and-fire neurons. Phys.Rev.E 99, 032402.
39. Wallach A, Harvey-Girard E, Jun JJ, Longtin A, Maler L
(2018) A time-stamp mechanism may provide temporal information necessary
for egocentric to allocentric spatial transformations. eLife 7: e36769
40. Wolff A, Di Giovanni D, Gomez-Pilar J, Nakao T, Huang Z,
Longtin A, Northoff G (2018) The temporal signature of self: Temporal
measures of resting-state EEG predict self-consciousness. Human Brain
Mapping 40, 789-803 (DOI: 10.1002/hbm.24412)
41. Walters-Stewart C, Rochefort C, Longtin A, Zemek R,
Sveistrup H (2018) Centre of pressure during quiet stance and dual-task 1
month after mild traumatic brain injury: Adolescents. J. Concussion 2,
1-9.
42. Park SH, Griffiths JD, Longtin A, Lefebvre J (2018)
Persistent entrainment in non-linear neural networks with memory. Front.
Appl. Math. Stat. (doi.org/10.3389/fams.2018.00031)
43. Barlow BM, Joos B, Trinh AK, Longtin A ((2018)
Cooling reverses pathological bifurcations to spontaneous firing caused by mild
traumatic injury. Chaos 28, 106328 (doi: 10.1063/1.5040288) (Editor's Pick)
44. Kuebler ES, Calderini M, Longtin A, Bent N, Vincent-Lamarre
P, Thivierge JP (2018) Non-monotonic accumulation of spike time variance
during membrane potential oscillations. Biol. Cybern. 112, 539-545
45. René A, Longtin A (2017) Mean, covariance
and effective dimension of stochastic distributed delay systems. Chaos 27,
114322.
46. Naud R, Payeur A, Longtin A (2017) Noise-Gated
Stochastic Resonance with Dendrite-Soma Interactions. Phys. Rev. X 7,
031045
47. Dumont G, Payeur A, Longtin A (2017) A
stochastic-field description of finite-size spiking neural networks. PLoS
Comput. Biol. 13(8):e1005691
48. Braun W, Thul R, Longtin A (2017) Evolution of
moments and correlations in non-renewal escape-time processes. Phys. Rev. E
95, 052127
49. Melanson A, Mejias JF, Jun JJ, Maler L, Longtin A (2017)
Non-stationary stochastic dynamics underlie spontaneous transitions between
active and inactive behavioural states. ENEURO.0355-16.2017
50. Iolov A, Ditlevsen S, Longtin A (2017) Optimal design
for estimation in diffusion processes from first hitting times. SIAM/ASA J.
Uncertainty Quantification 5, 88-110 (open access)
51. Jun JJ, Longtin A, Maler L (2016) Active sensing
associated with spatial learning reveals memory-based attention in an electric
fish. J . Neurophysiol. 115, 2577-2592.
52. Jung SN, Longtin A , Maler L (2016)
Weak signal amplification and detection by higher-order sensory neurons. J.
Neurophysiol. 115, 2158-2175.
53. Iolov A, Ditlevsen S, Longtin A (2016) Stochastic
optimal control of spike times in single neurons. In: Closed-loop
Neuroscience, A. El-Hady, ed. (Elsevier, San Diego)
54. Marcoux CM, Clarke SE, Nesse WH, Longtin A, Maler L (2016)
Balanced ionotropic receptor dynamics support signal estimation via
voltage-dependent membrane noise. J. Neurophysiol. 115, 530-545.
55. Dumont G, Northoff G, Longtin A (2016) A stochastic
model of input effectiveness during irregular gamma rhythms. J. Comput.
Neurosci. 40, 85-101.
56. Huang Z, Zhang J, Longtin A, Dumont G, Duncan N, Pokorny J,
Qin P, Dai R, Ferri F, Weng X, Northoff G (2015) How does spontaneous
brain activity interact with task-evoked activity? Non-additive interaction,
phase-dependence and scale-free properties. Cerebral
Cortex (Dec.7, epub ahead of print)
57. Shifman AR, Longtin A, Lewis JE (2015) Ultrafast
traveling wave dominates the electric organ discharge of Apteronotus
leptorhynchus: an inverse modelling study. Sci. Rep. 5, 15780. (open access)
58. Clarke SE, Longtin A, Maler L (2015) Contrast coding
in the electrosensory system: parallels with visual computation. Nature Rev.
Neurosci. 16, 733-744.
59. Clarke SE, Longtin A, Maler L (2015) The neural
dynamics of sensory focus. Nature Commun. 6, 8764. ( DOI:
10.1038/ncomms9764 ) (open access)
60. Naud R, Houtman D, Rose G, and Longtin A (2015)
Counting on dis-inhibition: a circuit motif for interval counting and
selectivity in the anuran auditory system. J. Neurophysiol. 114,
2804-15.
61. Payeur A, Maler L, Longtin A (2015) Oscillatory-like
behaviour in feedforward neuronal nets. Phys. Rev. E. 92, 012703.
62. Mejias JF and Longtin A (2014) Differential effects
of excitatory and inhibitory heterogeneity on the gain and asynchronous state
in sparse cortical networks. Front. Comput. Neurosci. 8, 107.
63. Jun JJ, Longtin A and Maler L (2014) Enhanced sensory
sampling precedes self-initiated locomotion in an electric fish. J. Exp.
Biol. 217, 3615-28. (see: F1000 Neurological Disorders by Patrick
Haggard, 8 Jan. 2015)
64. Lachance, M, Longtin, A, Morris, CE, Yu, N and Joos, B (2014)
Stimulation-induced ectopicity and propagation windows in model damaged axons. J.
Comput. Neurosci. 37, 523-31.
65. Dumont G, Northoff G, Longtin A (2014) Linear noise
approximation for oscillations in a stochastic inhibitory network with delays. Phys.Rev.
E 90, 012702.
66. Iolov, A, Ditlevsen S and Longtin, A (2014)
Stochastic optimal control of single neuron spike trains. J. Neural Eng. 11,
046004 (open access).
67. Clarke, SE, Longtin, A and Maler, L (2014) A neural
code for looming and receding motion is distributed over a population of
electrosensory ON and OFF contrast cells. J. Neurosci. 34, 5583-94.
68. Seely, AJE, Bravi, A, Herry C, Green G, Longtin A, et al. (2014)
Added prognostic accuracy and predictive model of heart and respiratory rate
variability to forecast extubation outcomes. Crit. Care 18, R65.
69. Thivierge, JP, Comas R, Longtin A (2014) Attractor
dynamics in local neuronal networks. Front. Neural Circuits 8:22.
70. Mejias JF*, Payeur A*, Selin E, Maler L and Longtin, A (2014)
Subtractive, divisive, and non-monotonic gain control in feedforward nets
linearized by noise and delays. Front. Comput. Neurosci. 8:19. doi
10.3389/fncom.2014.00019 (*shared 1st authorship)
71. Iolov, A, Ditlevsen S and Longtin, A (2014) Fokker-Planck
and Fortet equation-based parameter estimation for a leaky integrate-and-fire
model with sinusoidal and stochastic forcing. J. Math. Neurosci. 4, 4.
72. Van Hemmen, JL and Longtin, A (2013) Temperature
fluctuations for a system in contact with a heat bath. J. Stat. Phys. 153,
1132-1142.
73. Mejias, JF, Marsat, G, Bol, K, Maler, L and Longtin, A (2013)
Learning contrast-invariant cancellation of redundant signals in neural
systems. PLoS Comput. Biol. 9, e1003180.
74. Bravi, A, Green, G, Herry, C, Wright, HE, Longtin, A, Kenny,
GP and Seely, AJE (2013) Do physiological and pathological stresses
produce different changes in heart rate variability? Frontiers Physiol. 4,
197. Part of e-book "Heart rate variability: Clinical applications and
interactions between HRV and heart rate", edited by K. Trimmel, J. Sacha
and H. Veli Huikuri (Lausanne, Frontiers Media, 2015).
75. Clarke, SE, Naud, R, Longtin, A and Maler, L (2013) Speed-invariant
encoding of looming object distance requires power law spike rate adaptation. Proc.
Nat. Acad. Sci. 110, 13624-13629.
76. Jun, JJ, Longtin, A and Maler, L (2013) Automated
visual and electrical tracking of weakly electric fish. J. Vis. Exp. Mar
6; (85). doi: 10.3791/50962.
77. Jun, JJ, Longtin, A and Maler, L (2013) Real-Time
localization of moving dipole sources for tracking multiple free-swimming
weakly electric fish. PLoS One 8, e66596.
78. Payeur, A, Lefebvre, J, Maler, L and Longtin, A (2013)
Linear response theory for two neural populations applied to gamma oscillation
generation. Phys. Rev. E 87, 032703.
79. Bol, K, Marsat, G, Mejias, JF, Maler, L and Longtin, A (2013)
Modeling cancellation of periodic inputs with burst-STDP and feedback. Neural
Networks 47, 120-133.
80. Mejias, JF, Kappen, HJ, Longtin, A and Torres, JJ (2013)
Short-term synaptic plasticity and heterogeneity in neural systems. 12th
Granada on Computational and Statistical Physics. AIP Conf. Proc. 1510,
185-194.
81. Bol, K, Marsat, G, Mejias, JF, Harvey-Girard, E, Maler, L
and Longtin, A (2012) Signal cancellation in neural systems: encoding
sensory input in the weakly electric fish. Proc. 11th IEEE Intern. Conf.
ISSPA'12 Information Sciences, Signal Processing, and their Applications. pp.770-775.
82. Lefebvre, J, Hutt, A, LeBlanc, V and Longtin, A (2012)
Reduced dynamics for delayed systems with harmonic or stochastic forcing. Chaos
22, 043121.
83. Bravi, A, Green, G, Longtin, A and Seely, AJE (2012) Monitoring
and identification of sepsis development through a composite measure of heart
rate variability. PLoS One 7(9), e45666. (pdf)
84. Yu, N, Morris, CE, Joos, B and Longtin, A (2012) Spontaneous
excitation patterns computed for myelinated axons with injury-like impairments
of nodal Na/K pumps and sodium channels. PLoS Comput. Biol. 8(9),
e1002664. (pdf)
85. Yu, N, Hupé, G, Garfinkle, C, Lewis JE and Longtin, A (2012)
Coding conspecific identity and motion in the electric sense. PLoS Comput.
Biol. 8(7), e1002564. (pdf)
86. Mejias, JF and Longtin, A (2012) Optimal
heterogeneity for coding in spiking neural networks. Phys. Rev. Lett. 108,
228102. (pdf)
87. Hutt, A, Lefebvre, J and Longtin, A (2012) Delay
stabilizes stochastic systems near a non-oscillatory instability. Eur. Phys.
Lett. 98, 20004. (pdf)
88. Jun, JJ, Longtin, A and Maler, L (2012) Precision
measurement of electric organ discharge timing from freely moving weakly
electric fish. J. Neurophysiol. 107, 1996-2007. (pdf)
89. Marsat,G, Longtin, A and Maler, L (2012) Cellular and circuit
properties supporting different sensory coding strategies in electric fish and
other systems. Curr. Opin. Neurobiol. 22, 686-692. (pdf)
90. Xie, JL, Wang, ZJ and Longtin, A (2012) Correlated
firing and oscillations in spiking networks with global delayed inhibition. Neurocomputing
83, 146-157. (pdf)
91. Van Hemmen, JL, Longtin, A and Vollmayr, AN (2011)
Testing resonating vector strength: auditory system, electric fish, and noise. Chaos
21, 047508. (pdf)
92. Yu, N and Longtin, A (2011) Coherence depression in
stochastic excitable systems with two-frequency forcing. Chaos 21,
047507. (pdf)
93. Bravi, A, Longtin, A and Seely, AJE (2011) Review and
classification of variability analysis techniques for clinical applications. BMC
Biomed. Engin. Online 10: 90 (Oct.10) (pdf)
94. Bol, K, Marsat, G, Harvey-Girard, E., Longtin, A, Maler, A (2011)
Frequency-tuned cerebellar channels and burst-induced LTD lead to
cancellation of redundant sensory inputs. J. Neurosci. 31,
11028-11038. (pdf) (Supplementary Material)
95. Chacron, MJ, Longtin, A and Maler, L (2011) Efficient
computation via sparse coding in electrosensory neural networks. Curr. Opin.
Neurobiol. 21, 752-760. (pdf)
96. Middleton, JW, Yu, N, Longtin, A and Maler, L (2011)
Routing the flow of sensory signals using plastic responses to bursts and
isolated spikes: experiment and theory. J. Neurosci. 31, 2461-2473. (pdf)
97. Lefebvre, J, LeBlanc, V and Longtin, A (2011) Neural adaptation
facilitates oscillatory responses to static inputs in a recurrent network of ON
and OFF cells. J. Comput. Neurosci. 31, 73-86. (pdf)
98. Lefebvre, J, LeBlanc, V and Longtin, A (2011)
Responses of recurrent nets of asymmetric ON and OFF cells. J. Biol. Phys. 37,
189-212. (pdf)
99. Nesse, W, Maler, L and Longtin, A (2010) Biophysical
information representation in correlated spike trains. Proc. Nat. Acad. Sci.
(USA) 107, 21973-21978. (pdf) (supplementary material)
100.
Benda, J., Maler, L.
and Longtin, A. (2010) Linear versus nonlinear signal transmission in
integrate-and-fire models with adaptation currents or dynamic thresholds. J.
Neurophysiol. 104, 2806-2820. (pdf)
101.
Khanbabaie, R, Nesse,
WH, Longtin, A and Maler, L (2010) Kinetics of fast short-term depression
are matched to spike train statistics to reduce noise. J. Neurophysiol. 103,
3337-3348. (pdf)
102.
Lefebvre, J.,
Longtin, A. and LeBlanc, VG (2010) Oscillatory Response in a Sensory
Network of ON and OFF cells with Instantaneous and Delayed Recurrent
Connections. Phil. Trans. R. Soc. A 368, 455-467. (pdf)
103.
Longtin, A. (2010)
Stochastic delay-differential equations. In: Complex Time-Delay Systems, F.
Atay, ed. (Springer, Berlin)
104.
Boulet, J.,
Balasubramaniam, R, Daffertshofer, A. and Longtin, A (2010) Stochastic
two delay-differential model of delayed visual feedback effects on postural
dynamics. Phil. Trans. R. Soc. A 368, 423-438. (pdf)
105.
Hutt, A. and Longtin,
A. (2010) Effects of the anesthetic agent propofol on neural
populations. Cognitive Neurodynamics 4, 37-59 ( DOI
10.1007/s11571-009-9092-2) (pdf)
106.
Longtin, A. (2010)
Neural coherence and stochastic resonance. In: Stochastic Methods in
Neuroscience, edited by G. Lord and C.R. Laing (Oxford University Press,
Oxford) pp.94-123.
107.
Lefebvre, J.,
Longtin, A. and LeBlanc, VG (2009) Dynamics of driven recurrent networks
of ON and OFF cells. Phys. Rev. E 80, 041912 ((selected for: Virtual
Journal of Biological Physics Research) (pdf)
108.
Heffernan, B. and
Longtin, A. (2009) Pulse-coupled neuron models as investigative tools
for musical consonance. J. Neurosci. Methods 183(1), 95-106,
Special issue on BrainModes. (pdf)
109.
Longtin, A. and
Rinzel, J. (2009) Neuronal dynamics of sensory coding: the legacy of
Jose Pedro Segundo. Introduction to Special issue on Neuronal dynamics of
sensory coding, Biol. Cybern. 100, 409-411. (pdf)
110.
Sutherland, C.,
Doiron, B. and Longtin, A. (2009) Feedback-induced gain control in
stochastic spiking networks. Special issue on "Neuronal Dynamics of
Sensory Coding" (dedicated to JP Segundo), Biol. Cybern. 100,
475-489. (pdf)
111.
Van den Heuvel, M.,
Balasubramaniam, R., Daffertshofer, A., Longtin, A. and Beek, P.J. (2009)
Delayed visual feedback reveals distinct time scales in balance control. Neurosci.
Lett. 452, 37-41. (pdf)
112.
Middleton, J.W.,
Longtin, A., Benda, J., and Maler, L. (2009) Postsynaptic receptive
field size and spike threshold determine encoding of high-frequency information
via sensitivity to synchronous presynaptic activity. J. Neurophysiol. 101,
1160-70. (pdf)
113.
Lindner, B.,
Gangloff, D., Longtin, A. and Lewis, J.E. (2009) Broadband coding with
dynamic synapses. J. Neurosci. 29, 2076-88. (pdf)
114.
Hutt, A., Sutherland,
C. and Longtin, A. (2008) Driving neural oscillations with correlated
spatial input and topographic feedback. Phys. Rev. E 78, 021911. (pdf)
115.
Longtin, A.,
Middleton, J.W., Cieniak, J. and Maler, L. (2008) Neural dynamics of
envelope coding. Math. Biosci. 214, 87-99. (pdf)
116.
Kelly, M., Babineau,
D., Longtin, A. and Lewis, J.E. (2008) Electric field interactions in
pairs of electric fish: Modeling and mimicking naturalistic input. Biol.
Cybern. 98, 479-490. (pdf)
117.
Hutt, A., Longtin, A.
and Schimansky-Geier, L. (2008) Additive noise-induced Turing
transitions in spatial systems with application to neural fields and the
Swift-Hohenberg equation. Physica D 237, 755-773. (pdf)
118.
Szalisznyo, K.,
Longtin, A. and Maler, L (2008) Effect of synaptic plasticity on sensory
coding and steady-state filtering properties in the electric sense. Biosystems
92, 16-28. (pdf)
119.
Clopath, C, Longtin,
A. and Gerstner, W. (2008) An online Hebbian learning rule that performs
Independent Component Analysis. Advances in Neural Information Processing
Systems 20 (NIPS 2007), MIT Press, 312-328. (pdf)
120.
Longtin, A.,
Stochastic Dynamical Systems. (2007) Scholarpedia.
121.
Longtin, A. and Doiron, B., Neuronal Noise. (2007)
Scholarpedia.
122.
Hutt, A., Longtin, A.
and Schimansky-Geier, L. (2007) Additive global noise delays Turing
bifurcations. Phys. Rev. Lett. 98, 230601. (pdf)
123.
Longtin, A. (2007)
Linking dynamics to function in weakly electric fish. SIAM News, Vol.
40(2), special issue on "Mathematics and the Brain". (March 2007)
124.
Babineau, D., Lewis,
J.E. and Longtin, A. (2007) Spatial acuity and prey detection in weakly
electric fish. PLoS Comp. Biol. 3, e38 (selected as "Editor's
pick") (pdf)
125.
Middleton, J.W.,
Harvey-Girard, E., Maler, L. and Longtin, A. (2007) Envelope gating, noise
shaping and signal transmission in populations of noisy neurons. Phys. Rev.
E 75, 021918 (selected for: Virtual Journal of Biological Physics Research)
(pdf)
126.
Chacron, M.J.,
Lindner, B. and Longtin, A. (2007) Threshold fatigue and information
transmission. J. Comput. Neurosci. 23, 301-311. (pdf)
127.
Longtin, A. and
Swain, P., editors (2006) Stochastic Dynamics of Neural and Genetic
Networks. Special Focus Issue of CHAOS, Vol.16, July 2006.
128.
Swain, P.K. and
Longtin, A. (2006) Genetic and neural noise. Introduction to the Special
Focus Issue on Stochastic Dynamics of Neural and Genetic Networks, A. Longtin
and P. Swain, guest editors, CHAOS 16, 026101. (pdf)
129.
Benda, J., Longtin,
A. and Maler, L. (2006) A synchronization-desynchronization code for
natural communication signals. Neuron 52, 347-58. (pdf)
130.
Middleton, J.W.,
Longtin, A., Benda, J. and Maler, L. (2006) The cellular basis for
parallel neural transmission of a high-frequency stimulus and its low-frequency
envelope. Proc. Nat. Acad. Sci. (USA) 103, 14596-14601. (pdf)
131.
Babineau, D.,
Longtin, A. and Lewis, J.E. (2006) Characterization of the electric
fields generated by weakly electric fish and of electric images they detect. J.
Exp. Biol. 209, 3636-51. (pdf)
132.
Morse, R. and
Longtin, A. (2006) Coherence and stochastic resonance in threshold
crossing detectors with delayed feedback. Phys. Lett. A 359, 640-646. (pdf)
133.
Lindner, B. and
Longtin, A. (2006) Comment on: "Characterization of subthreshold
voltage fluctuations in neuronal membranes" by M. Rudolph and A. Destexhe.
Neural Comput. 18, 1896-1931. (pdf)
134.
Longtin, A. (2006)
Design and therapies for stochastic neural systems. In: Multidisciplinary
Approaches to Theory in Medicine, R. Paton and L.A. McNamara, eds., (Elsevier,
Amsterdam) pp.193-207.
135.
Szalisznyo, K.,
Longtin, A. and Maler, L. (2005) Altered sensory filtering and coding
properties by synaptic dynamics in the electric sense. Neurocomputing
69, 1070-1075. (pdf)
136.
Lindner, B., Doiron,
B. and Longtin, A. (2005) Theory of oscillatory firing induced by
spatially correlated noise and delayed inhibitory feedback. Phys. Rev. E
72, 061919. (pdf)
137.
Chacron, M.J.,
Longtin, A. and Maler, L. (2005) Delayed excitatory and inhibitory
feedback shape neural information transmission. Phys. Rev. E 72, 051917.
(selected for the November 15, 2005 issue of the Virtual
Journal of Biological Physics Research). (pdf)
138.
Lindner, B., Chacron,
M.J. and Longtin, A.(2005)
Integrate-and-fire neurons with threshold noise - A tractable model of how
interspike interval correlations affect neuronal signal transmission. Phys.
Rev. E 72, 021911. (pdf)
139.
Chacron, M.J.,
Lindner, B., Maler, L., Longtin, A., and Bastian, J. (2005) Experimental
and theoretical demonstration of noise shaping by interspike interval
correlations. In: Fluctuations and Noise in Biological, Biophysical and
Biomedical Systems III, N.G. Stocks, D. Abbott and R.P. Morse, eds., Proc.
SPIE Vol.5841, pp.150-163. (invited paper) (pdf)
140.
Masuda, N., Doiron,
B., Longtin, A. and Aihara, K.(2005)
Coding of time-varying signals in networks of spiking neurons with global
feedback. Neural Comput. 17, 2139-2175. (pdf)
141.
Lindner, B. and
Longtin, A. (2005) Effect of an exponentially decaying threshold on the
firing statistics of a stochastic integrate-and-fire neuron. J. Theor. Biol.
232, 505-521. (pdf)
142.
Benda, J., Longtin,
A. and Maler, L. (2005), Spike-frequency adaptation enhances the
detection of transient communication signals. J. Neuroscience 25,
2312-2321. (pdf)
143.
Chacron, M.J.,
Lindner, B. and Longtin, A. (2004) ISI correlations and information
transfer. Fluct. Noise Lett. 4, L195-L205. (pdf)
144.
Doiron, B., Lindner,
B., Longtin, A., Maler, L. and Bastian, J. (2004) Oscillatory activity
in electrosensory neurons increases with the spatial correlation of the
stochastic input stimulus. Phys. Rev. Lett. 93, 048101. (pdf)
145.
Chacron, M.J.,
Longtin, A. and Maler, L. (2004) To burst or not to burst? J. Comput.
Neurosci. 17, 127-136. (pdf)
146.
Chacron,M.J., Lindner,B. and Longtin, A. (2004) Noise shaping by
interval correlations increases information transfer in spiking neurons. Phys.
Rev. Lett. 92, 080601. (see News and Views, Nature 428, 382 by Arun
Holden) (also, there's a typo: see Erratum, Phys. Rev. Lett. 93, 059904) (pdf)
147.
St-Hilaire, M. and
Longtin, A. (2004) Comparison of coding capabilities of Type I and Type
II neurons. J. Comput. Neurosci. 16, 299-313. (pdf)
148.
Chacron, M.J.,
Pakdaman, K. and Longtin, A., (2004) Chaotic firing in the sinusoidally
forced leaky integrate-and-fire model with threshold fatigue. Physica D 192 , 138-160. (pdf)
149.
St-Hilaire, M. and
Longtin, A. (2004) Information coding in models of tuberous
electroreceptors. Math. Biosci. 188, 157-174. (pdf)
150.
Engbert, R., Longtin,
A. and Kliegl, R. (2004) Complexity of eye movements in reading: A
theoretical model. Intern. J. Bifurc. Chaos 14, 493-503. (pdf)
151.
Lindner, B. and
Longtin, A. (2003) Nonrenewal spike trains generated by stochastic
neuron models, Proceedings SPIE 5114, 209-218 (Fluctuations and Noise,
Santa Fe, June 2003). (invited paper) (pdf)
152.
Doiron, B., Longtin,
A. and Lindner, B. (2003) Oscillatory network coding of a global
stimulus. Proceedings SPIE 5110, 201-209 (Fluctuations and Noise, Santa
Fe, June 2003) (invited paper) (pdf)
153.
Middleton, J.W.,
Chacron, M.J., Lindner, B. and Longtin, A. (2003) Firing statistics of a
model neuron driven by long-range correlated noise. Phys. Rev. E. 68,
021920. (pdf)
154.
Laing, C. and
Longtin, A. (2003) Periodic forcing of a model sensory neuron. Phys.
Rev. E. 67, 051928. (pdf)
155.
Chacron, M.R.,
Longtin, A. and Maler, L. (2003) The effects of spontaneous activity,
background noise and the stimulus ensemble on information transfer in neurons.
Network Comput. Neural Syst. 14, 803-824. (pdf)
156.
Laing, C.R. and
Longtin, A. (2003) Dynamics of deterministic and stochastic paired
excitatory-inhibitory delayed feedback. Neural Comput. 15, 2779-2822. (pdf)
157.
Chacron, M.J.,
Doiron, B., Maler, L., Longtin, A. and Bastian, J. (2003) Non-classical
receptive field mediated biological switch in a sensory neuron's frequency
tuning. Nature 423, 77-81 (May 1st). (pdf)
158.
Lindner, B., Longtin,
A. and Bulsara, A.R. (2003) Analytical expressions for rate and CV of a
Type I neuron driven by Gaussian white noise. Neural Comput. 15,
1761-1788. (pdf)
159.
Doiron, B., Chacron,
M.J., Maler, L., Longtin, A. and Bastian, J. (2003) Inhibitory feedback
required for network burst responses to communication but not to prey stimuli. Nature
421, 539-543. (see News ans Views, Nature Neuroscience 6, 212-213 by
F. Gabbiani) (pdf) (supplementary material) (supplementary figure)
160.
Noonan, L., Doiron,
B., Laing, C.R., Longtin, A. and Turner, R.W. (2003) A dynamic dendritic
refractory period regulates burst discharge in the electrosensory lobe of
weakly electric fish. J. Neurosci. 23, 1524-1534. (pdf)
161.
Chacron, M. J.,
Pakdaman, K. and Longtin, A. (2003) Interspike interval correlations,
memory, adaptation, and refractoriness in a leaky integrate-and-fire model with
threshold fatigue. Neural Comput. 15, 253-278. (pdf)
162.
Longtin, A., Effect
of Noise on Nonlinear Dynamics. (2003) In: Nonlinear Dynamics in
Physiology and Medicine, A. Beuter, L. Glass, M.C. Mackey and M. Titcombe, eds.
(Springer Verlag, New York). (see also the Erratum)
163.
Longtin, A., Laing,
C.R. and Chacron, M.J.(2003) Correlations
and memory in neurodynamical systems. In: Long-Range-Dependent Stochastic
Processes: Theory and Applications, Lecture Notes in Physics Vol.621, edited by
G. Rangarajan and M. Ding (Springer-Verlag, Berlin) (invited paper). (pdf)
164.
Laing, C., Doiron,
B., Longtin, A., Turner, R., Noonan, L. and Maler, L. (2003) Type I
burst excitability. J. Comput. Neurosci. 14, 329-342. (pdf)
165.
Middleton, J.W.,
Chacron, M.J., Lindner, B. and Longtin, A. (2002) Correlated noise and
memory effects in neural firing statistics. AIP Proceedings,
"Unsolved Problems on Noise" (Washington, DC, Sept. 2002) (in press).
166.
Turner, R.W., Lemon,
N., Doiron, B., Rashid, A.J., Morales, E., Maler, L., Longtin, A., and Dunn,
R.J. (2002) Oscillatory burst discharge generated through conditional backpropagation
of dendritic spikes. J. Physiol. (Paris) 96, 517-530. (pdf)
167.
Longtin, A. (2002)
Phase locking and resonances for stochastic excitable systems. Fluctuations
and Noise Letters 2, 183-211, Special Issue on Stochastic Resonance
(invited chapter). (pdf)
168.
Lindner, B.,
Schimansky-Geier, L. and Longtin, A. (2002) Maximizing spike train
coherence and incoherence in the leaky integrate-and-fire model. Phys. Rev.
E. 66, 031916. (pdf)
169.
Longtin, A., Doiron, B. and Bulsara, A.R. (2002) Noise-induced divisive
inhibition in simple neuron models. Biosystems 67, 147-156. (pdf)
170.
Laing, C. and
Longtin, A. (2002) A two-variable delay-differential model of
somatic-dendritic interactions in bursting neurons. Bull. Math. Biol.
64/5, 829-860. (pdf)
171.
Laing, C., Doiron,
B., Longtin, A. and Maler, L. (2002) Ghostbursting: The effects of
dendrites on spike patterns. Neurocomputing 44-46, 127-132. (pdf)
172.
Redmond, B., Leblanc,
V.G. and Longtin, A. (2002) Bifurcation analysis of a class of
first-order nonlinear delay-differential equations with reflectional symmetry. Physica
D 166, 131-146. (pdf)
173.
Engbert, R., Longtin,
A. and Kliegl, R. (2002) A dynamical model of saccade generation in
reading based on spatially distributed lexical processing. Vision Res. 42,
621-636. (pdf)
174.
Doiron, B., Laing,
C.R., Longtin, A. and Maler, L. (2002) Ghostbursting: A novel neuronal
burst mechanism. J. Comput. Neurosci. 12, 5-25. (pdf)
175.
Laing, C.R. and
Longtin, A. (2001) Noise-induced stabilization of bumps in systems with
long-range spatial coupling. Physica D 160, 149-172. (pdf)
176.
Brandts, W.A.M.,
Longtin, A., and Trainor, L.E.H. (2001) Dynamics of a two-category model
of task allocation with application to ant societies. Bull. Math. Biol.
63, 1125-1161. (pdf)
177.
Chacron, M.J.,
Longtin, A. and Maler, L. (2001) Negative interspike interval
correlations increase the neuronal capacity for encoding time-dependent
stimuli, J. Neurosci. 21, 5328-5343. (pdf)
178.
Doiron, B., Longtin,
A., Turner, R.W. and Maler, L. (2001) Model of gamma frequency burst
discharge generated by conditional backpropagation. J. Neurophysiol. 86,
1523-1545. (pdf)
179.
Chacron, M..J., Longtin, A. and Maler, L. (2001) Simple models
of bursting and non-bursting electroreceptors. Neurocomputing 38,
129-139. (pdf)
180.
Longtin, A. and
L'Heureux, I. (2001) Physics in Canada 57(2), Guest Editors for
the Special Issue on Nonlinear Dynamics, March/April 2001. (http://www.cap.ca).
181.
Longtin, A. and
L'Heureux, I. (2001) Dynamical effects of noise on nonlinear systems. Physics
in Canada 57(2), Special Issue on Nonlinear Dynamics, A. Longtin
and I. L'Heureux, eds., 145-153.
182.
Capurro, A., Longtin,
A., Bagarinao, E., Sato, S., Macadar, O. and Pakdaman, K. (2001)
Variability of the electric organ discharge interval duration in resting
Gymnotus carapo. Biol. Cybern. 84, 309-321. (pdf)
183.
Doiron, B., Longtin,
A., Berman, N. and Maler, L. (2001) Subtractive and divisive inhibition:
Effect of voltage-dependent inhibitory conductances and noise. Neural
Comput. 13 (1), 227-248. (pdf)
184.
Longtin, A. (2000)
Adiabatic and non-adiabatic resonances in excitable systems. In Stochastic
Processes in Physics, Chemistry, and Biology, Lecture Notes in Physics, Vol.
557 (Springer Verlag, Berlin) pp.172-181. (ps)
185.
Chacron, M., Longtin,
A., St-Hilaire, M. and Maler, L. (2000) Suprathreshold stochastic firing
dynamics with memory in P-type electroreceptors. Phys. Rev. Lett. 85,
1576-1579. (pdf)
186.
Guillouzic, S.,
L'Heureux, I. and Longtin, A. (2000) Rate processes in a stochastically
driven delayed overdamped system, Phys. Rev. E 61, 4906-4914. (pdf)
187.
Longtin, A. and
St-Hilaire, M. (2000) Encoding carrier amplitude modulations via
stochastic phase synchronization. Int. J. Bifurc. Chaos 10, 2447-2463
(invited paper for special issue on Phase Synchronization ).
(pdf)
188.
Longtin, A. (2000)
Effect of noise on the tuning properties of excitable systems. Chaos,
Solitons and Fract. 11, 1835-1848. (pdf)
189.
Roper, P., Bressloff,
P.C. and Longtin, A. (2000) A phase model of the temperature sensitivity
of mammalian cold receptors, Neural Comput. 12, 1087-1113. (pdf)
190.
Guillouzic, S.,
L'Heureux, I. and Longtin, A. (2000) Transition rates for stochastic
delay differential equations. AIP Proc. 502, Stochastic and Chaotic
Dynamics in the Lakes, Ambleside, UK, August 1999 (Amer. Inst. Physics, New
York) pp.456-461.
191.
Longtin, A. (2000)
Stochastic aspects of Neural Phase Locking To Periodic
Signals. AIP Proc. 501, Stochastic Dynamics and Pattern Formation in
Biological Systems, S. Kim, K.J. Lee and W. Sung, eds., Seoul, Korea, July 1999
(Amer. Inst. Physics, New York) pp.219-239 (invited paper)
192.
Guillouzic, S.,
L'Heureux, I. and Longtin, A. (1999) Small delay approximation of
stochastic differential delay equations. Phys. Rev. E 59, 3970-3982. (pdf)
193.
Longtin, A. and
Chialvo D. (1998) Stochastic and deterministic resonances in excitable
systems. Phys. Rev. Lett. 81, 4012. (pdf)
194.
Mensour, B. and
Longtin, A. (1998) Chaos control in multistable delay-differential
equations and their singular limit maps, Phys. Rev. E 58(1): 410-422. (pdf)
195.
Mensour, B. and
Longtin, A. (1998) Synchronization of delay-differential equations with
applications to private communication, Phys. Lett. A 244: 59-70. (pdf)
196.
Mensour, B. and
Longtin, A. (1998) Power spectra and dynamical invariants for
delay-differential and difference equations, Physica D 113: 1-25. (pdf)
197.
Longtin, A. (1998)
Firing dynamics of electroreceptors. Proc. Intern. Conf. on Neural Information
Processing ICONIP'98, KitaKyushu, Japan, October 1998, 27-30 (invited
paper)
198.
Longtin, A. (1998)
Tuning curves for noisy excitable cells. Proc., Can. Med.
and Biol. Engineer. Conf., Edmonton, June 1998, 70-71.
199.
Racicot, D. and
Longtin, A. (1997) Interspike interval attractors from chaotically
driven neuron models. Physica D 104, 184-204. (pdf)
200.
Longtin, A. (1997)
Nonlinear prediction of biosignals. Japan Soc. of Med. Electron. and Biol.
Engin. BME 11(1), 11-17. (invited review)
201.
Chialvo, D., Longtin,
A. and Muller-Gerking, J. (1997) Stochastic resonance in models of
neuronal ensembles. Phys. Rev. E. 55(2) 1798-1808. (pdf)
202.
Longtin, A. (1997)
Autonomous stochastic resonance in bursting neurons. Phys. Rev. E. 55(1)
868-876. (pdf)
203.
Longtin, A. and
Racicot, D.M. (1997) Spike train patterning and forecastability. Biosystems
40, 111-118. (pdf)
204.
Longtin, A. and D.M.
Racicot (1997) Assessment of linear and nonlinear correlations between
neural firing events. In: Nonlinear Dynamics and Time Series: Building a Bridge
between the Natural and Statistical Sciences, eds. C.D. Cutler and D.T. Kaplan,
Fields Institute Communications Vol.11, 223-239.
205.
Longtin, A., Laniel,
J. (1997) Subthreshold coincidence detection. AIP Proc. 411,
"Applied Nonlinear Dynamics at the Millenium", San Diego, July 1997
(Amer. Inst. Physics, New York), pp.293-298.
206.
Mensour, B., Longtin,
A. (1997) Multistability and invariants in delay-differential equations.
AIP Proc.411, "Applied Nonlinear Dynamics at the Millenium",
San Diego, July 1997 (Amer. Inst. Physics, New York), pp.131-136.
207.
Longtin, A. and
Hinzer, K. (1996) Encoding with bursting, subthreshold oscillations and noise in mammalian cold receptors, Neural
Comput. 8, 215-255. (pdf)
208.
Foss, J., Longtin,
A., Mensour, B., and Milton, J. (1996) Multistability and delayed
recurrent loops, Phys. Rev. Lett. 76, 708-711. (pdf)
209.
Longtin, A., Hinzer,
K. (1996) Simple noise-induced transitions in models of neural systems.
In "Fluctuations and Order: The New Synthesis", edited by M.M.
Millonas (Springer, New York), pp. 343-358.
210.
Mensour, B. and
Longtin, A. (1995) Controlling chaos to store information in
delay-differential equations, Phys. Lett. A 205, 18-24. (pdf)
211.
Longtin, A. (1995)
Mechanisms of stochastic phase-locking. CHAOS 5, 209-215. (pdf)
212.
Longtin, A. (1995)
Synchronization of the stochastic Fitzhugh-Nagumo equations to periodic
forcing. Nuovo Cimento D 17 (Italian Physical Society), 835-846. (pdf)
213.
Racicot, D., Longtin,
A. (1995) Reconstructing dynamics from neural spike trains. Proceedings,
17th Ann. Intern. Conf. IEEE Engineering in Medicine and Biology, Montr\'eal,
Sept. 95. (selected for oral presentation), 2 pages.
214.
Mensour, B., Longtin,
A. (1995) Encoding information in neural feedback circuits. Proceedings,
17th Ann. Intern. Conf. IEEE Engineering in Medicine and Biology, Montr\'eal,
Sept. 95. (selected for oral presentation), 2 pages.
215.
Mensour, B., Longtin,
A. (1995) Controlling chaos to store information in time-delayed feedback
systems. Proceedings, 17th Ann. Intern. Conf. IEEE Engineering in Medicine and
Biology, Montr\'eal, Sept. 95., 2 pages.
216.
Longtin, A., Bulsara,
A., Pierson, D. and Moss, F. (1994) Bistability and the dynamics of
periodically forced sensory neurons. Biol. Cybern. 70, 569-578. (pdf) (Reprinted in: Origins: Brain and Self Organization,
K. Pribram, ed. (Lawrence Erlbaum Assoc., Hillsdale, NJ, 1994)).
217.
Losson, J., Mackey,
M. and Longtin, A. (1993) Solution multistability in first order
nonlinear differential delay equations. CHAOS 3, 167-176. (pdf)
218.
Longtin, A. (1993)
Nonlinear forecasting of spike trains from sensory neurons. Int. J. Bifurc.
Chaos 3, 651-661. (pdf)
219.
Longtin, A. (1993)
Stochastic resonance in neuron models. J. Stat. Phys. 70, 309-327. (pdf)
220.
Douglass, J.K., Moss,
F., Longtin, A. (1993) Statistical and dynamical interpretation of ISIH
data from periodically stimulated sensory neurons. Proceedings, Fifth Neural
Information Processing Systems (NIPS) Conference, Denver, Co. Dec. 92,
S.J. Hanson, J. Cowan and L. Giles, eds. (Morgan-Kaufmann, Mateo, CA),
pp.993-1000. (pdf)
221.
Milton, J.G., Ohira,
T., Steck, J., Crate, J., Longtin, A. (1993) Oscillations and latency in
the clamped pupil light reflex. Proc. SPIE 2036: 198-203 (International
Society for Optical Engineering).
222.
Longtin, A., Bulsara,
A. and Moss, F. (1992) Sensory information processing by noisy bistable
systems. Mod. Phys. Lett. B 6, 1299-1308.
223.
Theiler, J.,
Galdrikian, B., Longtin, A., Eubank, S. and Farmer, J.D. (1992) Testing
for nonlinearity in time series: the method of surrogate data. Physica D 58:
77-94. (Reprinted in: Coping with Chaos. Analysis of Chaotic Data and
the Exploitation of Chaotic Systems, E. Ott, T. Sauer and J.A. Yorke, eds.,
Wiley Series in Nonlinear Science, pp.124-141 (1994)). (pdf)
224.
Theiler, J.,
Galdrikian, B., Longtin, A., Eubank, S. and Farmer, J.D. (1992) Detecting
nonlinear structure in time series. Proceedings, First Experimental Chaos
conference, Arlington, Virginia (World Scientific, Singapore) p.47-53.
225.
Longtin, A., Moss, F.
and Bulsara, A. (1991) Time interval sequences in bistable systems and
noise induced transmission of neural information. Phys. Rev. Lett. 67,
656-659. (pdf) (See also: J. Maddox (1991), News and Views, Nature
352, 469, and I. Peterson (1991) Science News 140, 143).
226.
Longtin, A. (1991)
Noise-induced transitions at a Hopf bifurcation in a first order
delay-differential equation. Phys. Rev. A 44, 4801-4813. (pdf)
227.
Theiler, J.,
Galdrikian, B., Longtin, A., Eubank, S. and Farmer, J.D. (1991) Using surrogate
data to detect nonlinearity in time series. In Nonlinear Prediction and
Modeling, M. Casdagli and S. Eubank, eds. (Addison-Wesley, Redwood City, Ca).
228.
Longtin, A. (1991)
Nonlinear dynamics of neural delayed feedback, 1990 Lectures in Complex
Systems, SFI Studies in the Sciences of Complexity, Lect. Vol. III, Lynn
Nadel and Daniel Stein Eds. (Addison-Wesley, Redwood City, CA). pp.391-405.
229.
Longtin, A. (1991)
Oscillation onset in neural delayed feedback, Proceedings, Third Neural
Information Processing Systems (NIPS) conference, R.E. Lippman, D.S.
Touretzky and J. Moody, eds., Denver, Nov. 1990 (Morgan Kaufmann, San Mateo,
Ca) p.130-136. (pdf)
230.
an der Heiden, U.,
Longtin, A., Mackey, M.C., Milton, J.G. and Scholl, R. (1990)
Oscillatory modes in a nonlinear second order differential equation with delay,
J. Dynam. Diff. Eqs. 2: 423-449. (pdf)
231.
Longtin, A., Milton,
J.G., Bos, J. and Mackey, M.C. (1990) Noise and critical behavior of the
pupil light reflex at oscillation onset, Phys. Rev. A 41, 6992-7005. (pdf)
232.
Milton, J.G., an der
Heiden, U., Longtin, A. and Mackey, M.C. (1990) Complex dynamics and
noise in simple neural networks with delayed mixed feedback, Biomed.
Biochim. Acta 49 8/9: 697-707.
233.
Milton, J.G. and
Longtin, A. (1990) Evaluation of pupil constriction and dilation from
cycling measurements, Vision Res. 30: 515-525. (pdf)
234.
Mackey, M.C.,
Longtin, A. and Lasota, A. (1990) Noise induced global asymptotic
stability, J. Stat. Phys. 60: 735-741. (pdf)
235.
Longtin, A. and
Milton, J.G. (1990) Time delays, noise and
oscillations in neural feedback systems, in Proc., 12th Ann. Intern. Conf. IEEE
Engineer. in Medicine and Biology Society, Philadelphia, Nov. 1990.
236.
Milton, J.G.,
Longtin, A., Beuter, A., Mackey, M.C. and Glass, L. (1989) Complex
dynamics and bifurcations in neurology, J. Theor. Biol. 138, 129-147. (pdf)
237.
Longtin, A. and
Milton, J.G. (1989) Modelling autonomous oscillations in the human pupil
light reflex using nonlinear delay-differential equations, Bull. Math. Biol.
51: 605-624. (pdf) (used as textbook example in Mathematical
Physiology by J. Keener and J. Sneyd)
238.
Longtin, A. and
Milton, J.G. (1989) Insight into the transfer function, gain, and
oscillation onset for the pupil light reflex using nonlinear delay-differential
equations, Biol. Cybern. 61: 51-59. (pdf)
239.
Longtin, A. and
Milton, J.G. (1988) Complex oscillations in the human pupil light reflex
with mixed delayed feedback, Math. Biosci. 90: 183-199. (pdf)
240.
Milton, J.G.,
Longtin, A., Kirkham, T. and Francis, G.S. (1988)
Reply to: "Is irregular pupil cycling caused by prolonged latency?"
by K. Ukai, Am. J. Ophthalmol. 106, 371.
241.
Milton, J.G.,
Longtin, A., Kirkham, T. and Francis, G.S. (1988) Irregular
pupil cycling: characteristic abnormality in patients with demyelinative optic
neuropathy, Am. J. Ophthalmol. 105: 402-407.
242.
Longtin, A. and
Derome, J.R. (1986) A new model of the acoustic reflex, Biol. Cybern.
53: 323-342. (pdf)
243.
Peterman, B.F. and
Longtin, A. (1984) Multicompartment model of lung dynamics, Comput.
Biomed. Res. 17: 580-589. (pdf)
Non-refereed
Papers and Technical Reports
1. Longtin, A. (1996) Stochastic nonlinear dynamics.
Lecture Notes, Montreal 96 Summer School on Nonlinear Dynamics in Biology and
Medicine, Chapter 15, pp.233-245.
2.
Longtin, A. (1996) Predicting interspike intervals. Lecture Notes,
Montreal 96 Summer School on Nonlinear Dynamics in Biology and Medicine,
Chapter 21, pp.333-344.
3.
Longtin, A. (1996) Stochastic resonance in sensory neurons. Lecture Notes,
Montreal 96 Summer School on Nonlinear Dynamics in Biology and Medicine,
Chapter 22, pp.349-364.
4.
Longtin, A. (1992) Deterministic and stochastic dynamics of periodically
forced neurons, Center for Nonlinear Studies Newsletter No.74, January 1992
(Los Alamos National Laboratory, Los Alamos, New Mexico), pp.1-19.
By Topic (needs updating):
Anaesthesia neural dynamics Ants/Emergent
Computation
Auditory/Envelopes/ICA Bursting
Delay
Equations + Chaos/Neural Feedback
Delay
Equations + Noise/Neural Feedback
Electric
Fish Naturalistic Images Computational
Neuroscience + Electric Fish
Entropy Production + Physiological Thermodynamics
Eye
Movements during Reading Stochastic
Firing/ISI Correlations/Noise-Shaping
Multiple
Sclerosis/NeuroTrauma Neural
Coding/Gain Control/Optimal Control
Nonlinear
Time Series Analysis (Biomedical and general)
Plasticity
Posture
Control Pupil
Light Reflex Radiation
Biophysics
Stochastic Nonlinear Dynamics Stochastic Resonance/Coherence Resonance
Thermoreceptors/Temperature
fluctuations
