Citation: Antonio Di Crescenzo, Maria Longobardi, Barbara Martinucci. On a spike train probability model with interacting neural units[J]. Mathematical Biosciences and Engineering, 2014, 11(2): 217-231. doi: 10.3934/mbe.2014.11.217
[1] | Hideaki Kim, Shigeru Shinomoto . Estimating nonstationary inputs from a single spike train based on a neuron model with adaptation. Mathematical Biosciences and Engineering, 2014, 11(1): 49-62. doi: 10.3934/mbe.2014.11.49 |
[2] | Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Maria Francesca Carfora . Gauss-diffusion processes for modeling the dynamics of a couple of interacting neurons. Mathematical Biosciences and Engineering, 2014, 11(2): 189-201. doi: 10.3934/mbe.2014.11.189 |
[3] | Nikita Ratanov . A two-state neuronal model with alternating exponential excitation. Mathematical Biosciences and Engineering, 2019, 16(5): 3411-3434. doi: 10.3934/mbe.2019171 |
[4] | Achilleas Koutsou, Jacob Kanev, Maria Economidou, Chris Christodoulou . Integrator or coincidence detector --- what shapes the relation of stimulus synchrony and the operational mode of a neuron?. Mathematical Biosciences and Engineering, 2016, 13(3): 521-535. doi: 10.3934/mbe.2016005 |
[5] | Aldana M. González Montoro, Ricardo Cao, Christel Faes, Geert Molenberghs, Nelson Espinosa, Javier Cudeiro, Jorge Mariño . Cross nearest-spike interval based method to measure synchrony dynamics. Mathematical Biosciences and Engineering, 2014, 11(1): 27-48. doi: 10.3934/mbe.2014.11.27 |
[6] | Aniello Buonocore, Luigia Caputo, Enrica Pirozzi, Maria Francesca Carfora . A leaky integrate-and-fire model with adaptation for the generation of a spike train. Mathematical Biosciences and Engineering, 2016, 13(3): 483-493. doi: 10.3934/mbe.2016002 |
[7] | Kyle Wendling, Cheng Ly . Firing rate distributions in a feedforward network of neural oscillators with intrinsic and network heterogeneity. Mathematical Biosciences and Engineering, 2019, 16(4): 2023-2048. doi: 10.3934/mbe.2019099 |
[8] | Virginia Giorno, Serena Spina . On the return process with refractoriness for a non-homogeneous Ornstein-Uhlenbeck neuronal model. Mathematical Biosciences and Engineering, 2014, 11(2): 285-302. doi: 10.3934/mbe.2014.11.285 |
[9] | Shinsuke Koyama, Lubomir Kostal . The effect of interspike interval statistics on the information gainunder the rate coding hypothesis. Mathematical Biosciences and Engineering, 2014, 11(1): 63-80. doi: 10.3934/mbe.2014.11.63 |
[10] | Kseniia Kravchuk, Alexander Vidybida . Non-Markovian spiking statistics of a neuron with delayed feedback in presence of refractoriness. Mathematical Biosciences and Engineering, 2014, 11(1): 81-104. doi: 10.3934/mbe.2014.11.81 |
[1] | Cerebral Cortex, 7 (1997), 237-252. |
[2] | Biosystems, 71 (2003), 23-28. |
[3] | Neural Computation, 6 (1994), 622-641. |
[4] | Sci. Math. Japon., 70 (2009), 159-174. |
[5] | Sci. Math. Japon., 58 (2003), 245-254. |
[6] | J. Neurosci., 18 (1998), 2200-2211. |
[7] | Biol. Cybern., 95 (2006), 1-19. |
[8] | Biol. Cybern., 95 (2006), 97-112. |
[9] | Ann. Stat., 35 (2007), 2691-2722. |
[10] | Chapman & Hall/CRC, Boca Raton, 2001. |
[11] | BMC Neuroscience, 10 (2009), P110. |
[12] | BioSystems, 58 (2000), 19-26. |
[13] | J. Math. Biol., 42 (2001), 1-25. |
[14] | Stat. Prob. Lett., 78 (2008), 2248-2257. |
[15] | in Cybernetics and Systems 2010 (ed. R. Trappl), Austrian Society for Cybernetic Studies, Vienna, 2010, 169-174. |
[16] | J. Stat. Plann. Infer., 136 (2006), 1638-1654. |
[17] | Sci. Math. Japon., 67 (2008), 125-135. |
[18] | in Cybernetics and Systems 2004 (ed. R. Trappl), Austrian Society for Cybernetic Studies, Vienna, 2004, 205-210. |
[19] | Biophy. J., 4 (1964), 41-68. |
[20] | J. Neurosci. Meth., 171 (2008), 288-295. |
[21] | J. Comput. Neurosci., 3 (1996), 275-299. |
[22] | J. Acoust. Soc. Am., 74 (1983), 493-501. |
[23] | Neural Comput., 13 (2001), 1713-1720. |
[24] | PLoS ONE, 2 (2007), e439. |
[25] | J. Acoust. Soc. Am., 77 (1985), 1452-1464. |
[26] | Neural Comput., 20 (2008), 2696-2714. |
[27] | Notes taken by Charles E. Smith, Lecture Notes in Biomathematics, Vol. 14, Springer-Verlag, Berlin-New York, 1977. |
[28] | in Imagination and Rigor. Essays on Eduardo R. Caianiello's Scientific Heritage (ed. S. Termini), Springer-Verlag Italia, 2006, 133-145. |
[29] | in Structure: from Physics to General Systems - Festschrift Volume in Honour of E.R. Caianiello on his Seventieth Birthday (eds. M. Marinaro and G. Scarpetta), World Scientific, Singapore, 1992, 78-94. |
[30] | Math. Japon., 50 (1999), 247-322. |
[31] | The Journal of Neuroscience, 13 (1993), 334-350. |
[32] | Biophys. J., 5 (1965), 173-194. |
[33] | J. Stat. Phys., 78 (1995), 917-935. |
[34] | Phys. Rev. E (3), 59 (1999), 956-969. |