Agüera y Arcas B, Fairhall AL, Bialek W. (2003). Computation in a single neuron: Hodgkin and Huxley revisited. Neural computation. 15 [PubMed]
Ahmadian Y, Packer AM, Yuste R, Paninski L. (2011). Designing optimal stimuli to control neuronal spike timing. Journal of neurophysiology. 106 [PubMed]
Badel L et al. (2008). Extracting non-linear integrate-and-fire models from experimental data using dynamic I-V curves. Biological cybernetics. 99 [PubMed]
Berry MJ, Meister M. (1998). Refractoriness and neural precision. The Journal of neuroscience : the official journal of the Society for Neuroscience. 18 [PubMed]
Bonham BH, Litvak LM. (2008). Current focusing and steering: modeling, physiology, and psychophysics. Hearing research. 242 [PubMed]
Briaire JJ, Frijns JH. (2000). Field patterns in a 3D tapered spiral model of the electrically stimulated cochlea. Hearing research. 148 [PubMed]
Briaire JJ, Frijns JH. (2006). The consequences of neural degeneration regarding optimal cochlear implant position in scala tympani: a model approach. Hearing research. 214 [PubMed]
Brill SM et al. (1997). Optimization of channel number and stimulation rate for the fast continuous interleaved sampling strategy in the COMBI 40+. The American journal of otology. 18 [PubMed]
Brown E, Paninski L, Iyengar S, Kass R. (2010). Statistical models of spike trains Stochastic Methods in Neuroscience.
Bruce IC et al. (1999). A stochastic model of the electrically stimulated auditory nerve: pulse-train response. IEEE transactions on bio-medical engineering. 46 [PubMed]
Bruce IC, White MW, Irlicht LS, O'Leary SJ, Clark GM. (1999). The effects of stochastic neural activity in a model predicting intensity perception with cochlear implants: low-rate stimulation. IEEE transactions on bio-medical engineering. 46 [PubMed]
Bruce IC et al. (1999). A stochastic model of the electrically stimulated auditory nerve: single-pulse response. IEEE transactions on bio-medical engineering. 46 [PubMed]
Burkitt AN. (2006). A review of the integrate-and-fire neuron model: I. Homogeneous synaptic input. Biological cybernetics. 95 [PubMed]
Cartee LA. (2000). Evaluation of a model of the cochlear neural membrane. II: comparison of model and physiological measures of membrane properties measured in response to intrameatal electrical stimulation. Hearing research. 146 [PubMed]
Cartee LA, Miller CA, van den Honert C. (2006). Spiral ganglion cell site of excitation I: comparison of scala tympani and intrameatal electrode responses. Hearing research. 215 [PubMed]
Cartee LA, van den Honert C, Finley CC, Miller RL. (2000). Evaluation of a model of the cochlear neural membrane. I. Physiological measurement of membrane characteristics in response to intrameatal electrical stimulation. Hearing research. 146 [PubMed]
Cohen LT. (2009). Practical model description of peripheral neural excitation in cochlear implant recipients: 2. Spread of the effective stimulation field (ESF), from ECAP and FEA. Hearing research. 247 [PubMed]
Cohen LT. (2009). Practical model description of peripheral neural excitation in cochlear implant recipients: 4. model development at low pulse rates: general model and application to individuals. Hearing research. 248 [PubMed]
Daley D, Vere-jones D. (2003). An introduction to the theory of point process (2nd ed).
Dynes S. (1996). Discharge characteristics of auditory nerve fibers for pulsatile electrical stimuli Doctoral dissertation.
Ernst SM, Rennies J, Kollmeier B, Verhey JL. (2010). Suppression and comodulation masking release in normal-hearing and hearing-impaired listeners. The Journal of the Acoustical Society of America. 128 [PubMed]
Galvin JJ, Fu QJ. (2005). Effects of stimulation rate, mode and level on modulation detection by cochlear implant users. Journal of the Association for Research in Otolaryngology : JARO. 6 [PubMed]
Galvin JJ, Fu QJ. (2009). Influence of stimulation rate and loudness growth on modulation detection and intensity discrimination in cochlear implant users. Hearing research. 250 [PubMed]
Goldberg JM, Brown PB. (1969). Response of binaural neurons of dog superior olivary complex to dichotic tonal stimuli: some physiological mechanisms of sound localization. Journal of neurophysiology. 32 [PubMed]
Goldwyn JH, Bierer SM, Bierer JA. (2010). Modeling the electrode-neuron interface of cochlear implants: effects of neural survival, electrode placement, and the partial tripolar configuration. Hearing research. 268 [PubMed]
Goldwyn JH, Shea-Brown E, Rubinstein JT. (2010). Encoding and decoding amplitude-modulated cochlear implant stimuli--a point process analysis. Journal of computational neuroscience. 28 [PubMed]
Green DM, Swets JA. (1966). Signal Detection Theory and Psychophysics..
Hartmann R, Topp G, Klinke R. (1984). Discharge patterns of cat primary auditory fibers with electrical stimulation of the cochlea. Hearing research. 13 [PubMed]
Heffer LF et al. (2010). Examining the auditory nerve fiber response to high rate cochlear implant stimulation: chronic sensorineural hearing loss and facilitation. Journal of neurophysiology. 104 [PubMed]
Heinz MG, Colburn HS, Carney LH. (2001). Evaluating auditory performance limits: i. one-parameter discrimination using a computational model for the auditory nerve. Neural computation. 13 [PubMed]
Heinz MG, Colburn HS, Carney LH. (2001). Evaluating auditory performance limits: II. One-parameter discrimination with random-level variation. Neural computation. 13 [PubMed]
Holden LK, Skinner MW, Holden TA, Demorest ME. (2002). Effects of stimulation rate with the Nucleus 24 ACE speech coding strategy. Ear and hearing. 23 [PubMed]
Hu N, Miller CA, Abbas PJ, Robinson BK, Woo J. (2010). Changes in auditory nerve responses across the duration of sinusoidally amplitude-modulated electric pulse-train stimuli. Journal of the Association for Research in Otolaryngology : JARO. 11 [PubMed]
Imennov NS, Rubinstein JT. (2009). Stochastic population model for electrical stimulation of the auditory nerve. IEEE transactions on bio-medical engineering. 56 [PubMed]
Izhikevich EM. (2006). Resonate-and-fire neurons. Neural Netw. 14
Izhikevich EM. (2007). Dynamical Systems in Neuroscience: The Geometry of Excitability and Bursting.
Javel E, Shepherd RK. (2000). Electrical stimulation of the auditory nerve. III. Response initiation sites and temporal fine structure. Hearing research. 140 [PubMed]
Johnson DH. (1996). Point process models of single-neuron discharges. Journal of computational neuroscience. 3 [PubMed]
Jones F. (2001). 14. Jones F. Lebesgue Integration on Euclidean Space (revised edition).
Kiefer J, von Ilberg C, Rupprecht V, Hubner-Egner J, Knecht R. (2000). Optimized speech understanding with the continuous interleaved sampling speech coding strategy in patients with cochlear implants: effect of variations in stimulation rate and number of channels. The Annals of otology, rhinology, and laryngology. 109 [PubMed]
Kistler WM, Gerstner W. (2002). Spiking neuron models.
Kumar AR, Johnson DH. (1993). Analyzing and modeling fractal intensity point processes. The Journal of the Acoustical Society of America. 93 [PubMed]
Litvak L, Delgutte B, Eddington D. (2001). Auditory nerve fiber responses to electric stimulation: modulated and unmodulated pulse trains. The Journal of the Acoustical Society of America. 110 [PubMed]
Litvak L, Delgutte B, Eddington D. (2003). Improved neural representation of vowels in electric stimulation using desynchronizing pulse trains. The Journal of the Acoustical Society of America. 114 [PubMed]
Litvak LM, Delgutte B, Eddington DK. (2003). Improved temporal coding of sinusoids in electric stimulation of the auditory nerve using desynchronizing pulse trains. The Journal of the Acoustical Society of America. 114 [PubMed]
Litvak LM, Smith ZM, Delgutte B, Eddington DK. (2003). Desynchronization of electrically evoked auditory-nerve activity by high-frequency pulse trains of long duration. The Journal of the Acoustical Society of America. 114 [PubMed]
Loizou PC, Poroy O, Dorman M. (2000). The effect of parametric variations of cochlear implant processors on speech understanding. The Journal of the Acoustical Society of America. 108 [PubMed]
Lowen SB, Teich MC. (1996). The periodogram and Allan variance reveal fractal exponents greater than unity in auditory-nerve spike trains. The Journal of the Acoustical Society of America. 99 [PubMed]
Macherey O, Carlyon RP, van Wieringen A, Wouters J. (2007). A dual-process integrator-resonator model of the electrically stimulated human auditory nerve. Journal of the Association for Research in Otolaryngology : JARO. 8 [PubMed]
Matsuoka AJ, Rubinstein JT, Abbas PJ, Miller CA. (2001). The effects of interpulse interval on stochastic properties of electrical stimulation: models and measurements. IEEE transactions on bio-medical engineering. 48 [PubMed]
Miller CA, Abbas PJ, Robinson BK. (2001). Response properties of the refractory auditory nerve fiber. Journal of the Association for Research in Otolaryngology : JARO. 2 [PubMed]
Miller CA, Abbas PJ, Robinson BK, Rubinstein JT, Matsuoka AJ. (1999). Electrically evoked single-fiber action potentials from cat: responses to monopolar, monophasic stimulation. Hearing research. 130 [PubMed]
Miller CA, Hu N, Zhang F, Robinson BK, Abbas PJ. (2008). Changes across time in the temporal responses of auditory nerve fibers stimulated by electric pulse trains. Journal of the Association for Research in Otolaryngology : JARO. 9 [PubMed]
Miller CA, Robinson BK, Rubinstein JT, Abbas PJ, Runge-Samuelson CL. (2001). Auditory nerve responses to monophasic and biphasic electric stimuli. Hearing research. 151 [PubMed]
Miller MI, Mark KE. (1992). A statistical study of cochlear nerve discharge patterns in response to complex speech stimuli. The Journal of the Acoustical Society of America. 92 [PubMed]
Mino H. (2007). Encoding of information into neural spike trains in an auditory nerve fiber model with electric stimuli in the presence of a pseudospontaneous activity. IEEE transactions on bio-medical engineering. 54 [PubMed]
Mino H, Rubinstein JT. (2006). Effects of neural refractoriness on spatio-temporal variability in spike initiations with Electrical stimulation. IEEE transactions on neural systems and rehabilitation engineering : a publication of the IEEE Engineering in Medicine and Biology Society. 14 [PubMed]
Mino H, Rubinstein JT, Miller CA, Abbas PJ. (2004). Effects of electrode-to-fiber distance on temporal neural response with electrical stimulation. IEEE transactions on bio-medical engineering. 51 [PubMed]
Mino H, Rubinstein JT, White JA. (2002). Comparison of algorithms for the simulation of action potentials with stochastic sodium channels. Annals of biomedical engineering. 30 [PubMed]
Negm MH, Bruce IC. (2008). Effects of I(h) and I(KLT) on the response of the auditory nerve to electrical stimulation in a stochastic Hodgkin-Huxley model. Annual International Conference of the IEEE Engineering in Medicine and Biology Society. IEEE Engineering in Medicine and Biology Society. Annual International Conference. 2008 [PubMed]
O'Gorman DE, White JA, Shera CA. (2009). Dynamical instability determines the effect of ongoing noise on neural firing. Journal of the Association for Research in Otolaryngology : JARO. 10 [PubMed]
Paninski L. (2004). Maximum likelihood estimation of cascade point-process neural encoding models. Network (Bristol, England). 15 [PubMed]
Paninski L, Pillow J, Lewi J. (2007). Statistical models for neural encoding, decoding, and optimal stimulus design Computational Neuroscience: Theoretical Insights into Brain Function, Progress in Brain Research.
Paninski L, Pillow JW, Simoncelli EP. (2004). Maximum likelihood estimation of a stochastic integrate-and-fire neural encoding model. Neural computation. 16 [PubMed]
Perkel DH, Gerstein GL, Moore GP. (1967). Neuronal spike trains and stochastic point processes. I. The single spike train. Biophysical journal. 7 [PubMed]
Pfingst BE, Xu L, Thompson CS. (2007). Effects of carrier pulse rate and stimulation site on modulation detection by subjects with cochlear implants. The Journal of the Acoustical Society of America. 121 [PubMed]
Pillow JW, Paninski L, Uzzell VJ, Simoncelli EP, Chichilnisky EJ. (2005). Prediction and decoding of retinal ganglion cell responses with a probabilistic spiking model. The Journal of neuroscience : the official journal of the Society for Neuroscience. 25 [PubMed]
Plesser HE, Gerstner W. (2000). Noise in integrate-and-fire neurons: from stochastic input to escape rates. Neural computation. 12 [PubMed]
Plourde E, Delgutte B, Brown EN. (2011). A point process model for auditory neurons considering both their intrinsic dynamics and the spectrotemporal properties of an extrinsic signal. IEEE transactions on bio-medical engineering. 58 [PubMed]
Rattay F, Leao RN, Felix H. (2001). A model of the electrically excited human cochlear neuron. II. Influence of the three-dimensional cochlear structure on neural excitability. Hearing research. 153 [PubMed]
Rattay F, Lutter P, Felix H. (2001). A model of the electrically excited human cochlear neuron. I. Contribution of neural substructures to the generation and propagation of spikes. Hearing research. 153 [PubMed]
Rubinstein JT. (1995). Threshold fluctuations in an N sodium channel model of the node of Ranvier. Biophysical journal. 68 [PubMed]
Rubinstein JT, Wilson BS, Finley CC, Abbas PJ. (1999). Pseudospontaneous activity: stochastic independence of auditory nerve fibers with electrical stimulation. Hearing research. 127 [PubMed]
Schwartz O, Simoncelli EP, Paninski L, Pillow J. (2004). Characterization of neural responses with stochastic stimuli The New Cognitive Neurosciences (3rd ed).
Shannon RV, Friesen LM, Cruz RJ. (2007). Effects of stimulation rate on speech recognition with cochlear implants. Audiol Neurootol. 10
Shea-brown E, Goldwyn J. (2010). Adaptation in electric hearing: analysis of level and amplitude modulation encoding Bmc Neurosci. 11(suppl 1)
Shepherd RK, Javel E. (1999). Electrical stimulation of the auditory nerve: II. Effect of stimulus waveshape on single fibre response properties. Hearing research. 130 [PubMed]
Shepherd RK, Roberts LA, Paolini AG. (2004). Long-term sensorineural hearing loss induces functional changes in the rat auditory nerve. The European journal of neuroscience. 20 [PubMed]
Sly DJ et al. (2007). Deafness alters auditory nerve fibre responses to cochlear implant stimulation. The European journal of neuroscience. 26 [PubMed]
Snell J, Kemeny J. (1976). Finite Markov Chains.
Stocks N, Allingham D, Morse R. (2002). The application of suprathreshold stochastic resonance to cochlear implant coding Fluct Noise Lett. 2
Svirskis G, Rinzel J. (2003). Influence of subthreshold nonlinearities on signal-to-noise ratio and timing precision for small signals in neurons: minimal model analysis. Network (Bristol, England). 14 [PubMed]
Teich MC, Johnson DH, Kumar AR, Turcott RG. (1990). Rate fluctuations and fractional power-law noise recorded from cells in the lower auditory pathway of the cat. Hearing research. 46 [PubMed]
Trevino A, Coleman TP, Allen J. (2010). A dynamical point process model of auditory nerve spiking in response to complex sounds. Journal of computational neuroscience. 29 [PubMed]
Truccolo W, Eden UT, Fellows MR, Donoghue JP, Brown EN. (2005). A point process framework for relating neural spiking activity to spiking history, neural ensemble, and extrinsic covariate effects. Journal of neurophysiology. 93 [PubMed]
Vandali AE, Whitford LA, Plant KL, Clark GM. (2000). Speech perception as a function of electrical stimulation rate: using the Nucleus 24 cochlear implant system. Ear and hearing. 21 [PubMed]
Verveen AA. (1960). On the fluctuation of threshold of the nerve fibre Structure and Function of the Cerebral Cortex.
Woloshyn R. (1999). http://www.math.sci.hiroshima-u.ac.jp/~m-mat/MT/VERSIONS/FORTRAN/mtfort90.f Mersenne twister implemented in FORTRAN.
Won JH, Drennan WR, Nie K, Jameyson EM, Rubinstein JT. (2011). Acoustic temporal modulation detection and speech perception in cochlear implant listeners. The Journal of the Acoustical Society of America. 130 [PubMed]
Woo J, Miller CA, Abbas PJ. (2009). Simulation of the electrically stimulated cochlear neuron: modeling adaptation to trains of electric pulses. IEEE transactions on bio-medical engineering. 56 [PubMed]
Woo J, Miller CA, Abbas PJ. (2010). The dependence of auditory nerve rate adaptation on electric stimulus parameters, electrode position, and fiber diameter: a computer model study. Journal of the Association for Research in Otolaryngology : JARO. 11 [PubMed]
Xu Y, Collins LM. (2007). Predictions of psychophysical measurements for sinusoidal amplitude modulated (SAM) pulse-train stimuli from a stochastic model. IEEE transactions on bio-medical engineering. 54 [PubMed]
Zhang F, Miller CA, Robinson BK, Abbas PJ, Hu N. (2007). Changes across time in spike rate and spike amplitude of auditory nerve fibers stimulated by electric pulse trains. Journal of the Association for Research in Otolaryngology : JARO. 8 [PubMed]
Zhang Y, Chen F. (2007). An integrate-and-fire-based auditory nerve model and its response to high-rate pulse train Neurocomputation. 70
Zilany MS, Bruce IC, Nelson PC, Carney LH. (2009). A phenomenological model of the synapse between the inner hair cell and auditory nerve: long-term adaptation with power-law dynamics. The Journal of the Acoustical Society of America. 126 [PubMed]
van den Honert C, Stypulkowski PH. (1984). Physiological properties of the electrically stimulated auditory nerve. II. Single fiber recordings. Hearing research. 14 [PubMed]
Schmerl BA, McDonnell MD. (2013). Channel noise induced stochastic facilitation in an auditory brainstem neuron model Physical review. E, Statistical, nonlinear, and soft matter physics. 88 [PubMed]
Soudry D, Meir R. (2014). The neuronal response at extended timescales: a linearized spiking input-output relation. Frontiers in computational neuroscience. 8 [PubMed]