The effect of positive interspike interval correlations on neuronal information transmission
Pages: 461  481,
Issue 3,
June
2016
doi:10.3934/mbe.2016001 Abstract
References
Full text (2013.7K)
Related Articles
Sven Blankenburg  Bernstein Center for Computational Neuroscience Berlin, Berlin 10115, Germany (email)
Benjamin Lindner  Bernstein Center for Computational Neuroscience Berlin, Berlin 10115, Germany (email)
1 
L. F. Abbott and W. G. Regehr, Synaptic computation, Nature, 431 (2004), 796803. 

2 
R. Azouz and C. M. Gray, Dynamic spike threshold reveals a mechanism for synaptic coincidence detection in cortical neurons in vivo, Proc. Nat. Acad. Sci., 97 (2000), 81108115. 

3 
D. Bernardi and B. Lindner, A frequencyresolved mutual information rate and its application to neural systems, J. Neurophysiol., 113 (2014), 13421357. 

4 
S. Blankenburg, W. Wu, B. Lindner and S. Schreiber, Information filtering in resonant neurons, J. Comput. Neurosci., 39 (2015), 349370. 

5 
A. Borst and F. Theunissen, Information theory and neural coding, Nat. Neurosci., 2 (1999), 947957. 

6 
N. Brenner, O. Agam, W. Bialek and R. de Ruyter van Steveninck, Statistical properties of spike trains: Universal and stimulusdependent aspects, Phys. Rev. E, 66 (2002), 031907, 14pp. 

7 
P. J. Brockwell and R. A. Davis, Time Series: Theory and Methods, Springer, 2009. 

8 
N. Brunel, V. Hakim and M. J. E. Richardson, Firingrate resonance in a generalized integrateandfire neuron with subthreshold resonance, Phys. Rev. E, 67 (2003), 051916, 23pp. 

9 
M. Chacron, B. Lindner and A. Longtin, Threshold fatigue and information transfer, J. Comput. Neurosci., 23 (2007), 301311. 

10 
M. J. Chacron, A. Longtin and L. Maler, Negative interspike interval correlations increase the neuronal capacity for encoding timedependent stimuli, J. Neurosci., 21 (2001), 53285343. 

11 
M. J. Chacron, B. Doiron, L. Maler, A. Longtin and J. Bastian, Nonclassical receptive field mediates switch in a sensory neuron's frequency tuning, Nature, 423 (2003), 7781. 

12 
M. J. Chacron, B. Lindner and A. Longtin, Noise shaping by interval correlations increases information transfer, Phys. Rev. Lett., 93 (2004), 059904. 

13 
T. Cover and J. Thomas, Elements of Information Theory, Wiley, NewYork, 1991. 

14 
D. R. Cox and P. A. W. Lewis, The Statistical Analysis of Series of Events, Chapman and Hall, London, 1966. 

15 
F. Droste, T. Schwalger and B. Lindner, Interplay of two signals in a neuron with shortterm synaptic plasticity, Front. Comp. Neurosci., 7 (2013), p86. 

16 
T. A. Engel, L. SchimanskyGeier, A. V. M. Herz, S. Schreiber and I. Erchova, Subthreshold membranepotential resonances shape spiketrain patterns in the entorhinal cortex, J. Neurophysiol., 100 (2008), 15761589. 

17 
K. Fisch, T. Schwalger, B. Lindner, A. Herz and J. Benda, Channel noise from both slow adaptation currents and fast currents is required to explain spikeresponse variability in a sensory neuron, J. Neurosci., 32 (2012), 1733217344. 

18 
J. L. Folks and R. S. Chhikara, The inverse gaussian distribution and its statistical applicationa review, J. R. Statist. Soc. B, 40 (1978), 263289. 

19 
F. Gabbiani, Coding of timevarying signals in spike trains of linear and halfwave rectifying neurons, Network Comp. Neural., 7 (1996), 6185. 

20 
C. D. Geisler and J. M. Goldberg, A stochastic model of repetitive activity of neurons, Biophys. J., 6 (1966), 5369. 

21 
G. L. Gerstein and B. Mandelbrot, Random walk models for the spike activity of a single neuron, Biophys. J., 4 (1964), 4168. 

22 
W. Gerstner and W. M. Kistler, Spiking Neuron Models, Cambridge University Press, Cambridge, 2002. 

23 
J. D. Hamilton, Time Series Analysis, Princeton University Press, 1994. 

24 
A. V. Holden, Models of the Stochastic Activity of Neurones, SpringerVerlag, Berlin, 1976. 

25 
E. M. Izhikevich, Resonateandfire neurons, Neural. Netw., 14 (2001), 883894. 

26 
B. Lindner, Interspike interval statistics of neurons driven by colored noise, Phys. Rev. E, 69 (2004), 022901. 

27 
B. Lindner, Lowpass filtering of information in the leaky integrateandfire neuron driven by white noise, in International Conference on Theory and Application in Nonlinear Dynamics (ICAND 2012) (eds. I. Visarath, A. Palacios and P. Longhini), Springer, 2012. 

28 
B. Lindner, M. J. Chacron, A. Longtin, Integrateandfire neurons with threshold noise  a tractable model of how interspike interval correlations affect neuronal signal transmission, Phys. Rev. E, 72 (2005), p021911, 21pp. 

29 
B. Lindner, D. Gangloff, A. Longtin and J. E. Lewis, Broadband coding with dynamic synapses, J. Neurosci., 29 (2009), 20762087. 

30 
S. B. Lowen and M. C. Teich, Auditorynerve action potentials form a nonrenewal point process over short as well as long time scales, J. Acoust. Soc. Am., 92 (1992), 803806. 

31 
D. J. Mar, C. C. Chow, W. Gerstner, R. W. Adams and J. J. Collins, Noise shaping in populations of coupled model neurons, Proc. Natl. Acad. Sci., 96 (1999), 1045010455. 

32 
G. Marsat and G. S. Pollack, Differential temporal coding of rhythmically diverse acoustic signals by a single interneuron, J. Neurophysiol., 92 (2004), 939948. 

33 
C. Massot, M. Chacron and K. Cullen, Information transmission and detection thresholds in the vestibular nuclei: Single neurons vs. population encoding, J. Neurophysiol., 105 (2011), 17981814. 

34 
M. Merkel and B. Lindner, Synaptic filtering of ratecoded information, Phys. Rev. E, 81 (2010), 041921, 19pp. 

35 
J. W. Middleton, A. Longtin, J. Benda and L. Maler, Postsynaptic receptive field size and spike threshold determine encoding of highfrequency information via sensitivity to synchronous presynaptic activity, J. Neurophysiol., 101 (2009), 11601170. 

36 
A. B. Neiman and D. F. Russell, Sensory coding in oscillatory electroreceptors of paddlefish, Chaos, 21 (2011), 047505. 

37 
A. Nikitin, N. Stocks and A. Bulsara, Enhancing the resolution of a sensor via negative correlation: A biologically inspired approach, Phys. Rev. Lett., 109 (2012), 238103. 

38 
A. M. M. Oswald, M. J. Chacron, B. Doiron, J. Bastian and L. Maler, Parallel processing of sensory input by bursts and isolated spikes, J. Neurosci., 24 (2004), 43514362. 

39 
S. A. Prescott and T. J. Sejnowski, Spikerate coding and spiketime coding are affected oppositely by different adaptation mechanisms, J. Neurosci., 28 (2008), 1364913661. 

40 
F. Rieke, D. Bodnar and W. Bialek, Naturalistic stimuli increase the rate and efficiency of information transmission by primary auditory afferents, Proc. Biol. Sci., 262 (1995), 259265. 

41 
F. Rieke, D. Warland, R. de Ruyter van Steveninck and W. Bialek, Spikes: Exploring the Neural Code, MIT Press, Cambridge, Massachusetts, 1999. 

42 
J. C. Roddey, B. Girish and J. P. Miller, Assessing the performance of neural encoding models in the presence of noise, J. Comput. Neurosci., 8 (2000), 95112. 

43 
S. G. Sadeghi, M. J. Chacron, M. C. Taylor and K. E. Cullen, Neural variability, detection thresholds, and information transmission in the vestibular system, J. Neurosci., 27 (2007), 771781. 

44 
T. Schwalger, K. Fisch, J. Benda and B. Lindner, How noisy adaptation of neurons shapes interspike interval histograms and correlations, PLoS Comp. Biol., 6 (2010), e1001026, 25pp. 

45 
R. Shannon, The mathematical theory of communication, Bell Syst. Tech. J., 27 (1948), 379423. 

46 
N. Sharafi, J. Benda and B. Lindner, Information filtering by synchronous spikes in a neural population, J. Comp. Neurosci., 34 (2013), 285301. 

47 
L. Shiau, T. Schwalger and B. Lindner, ISI correlation in a stochastic exponential integrateandfire model with subthreshold and spiketriggered adaptation, J. Comp. Neurosci., 38 (2015), 589600. 

48 
J. Shin, The noise shaping neural coding hypothesis: A brief history and physiological implications, Neurocomp., 44 (2002), 167175. 

49 
J. H. Shin, K. R. Lee and S. B. Park, Novel neural circuits based on stochastic pulse coding and noise feedback pulse coding, Int. J. Electronics, 74 (1993), 359368. 

50 
R. L. Stratonovich, Topics in the Theory of Random Noise, Gordon and Breach, New York, 1967. 

51 
R. D. Vilela and B. Lindner, Comparative study of different integrateandfire neurons: Spontaneous activity, dynamical response, and stimulusinduced correlation, Phys. Rev. E, 80 (2009), 031909. 

52 
R. S. Zucker and W. G. Regehr, Shortterm synaptic plasticity, Ann. Rev. Physiol., 64 (2002), 355405. 

Go to top
