Abstract
When multiple spike trains are simultaneously recorded, it is desirable to screen the data for signs of neuronal association. The gravity transformation does this by representing the N observed spike trains as charges on N particles moving in an N-space. An appropriate force law results in particle trajectories and aggregations that can be interpreted in terms of dynamic neuronal interactions and of neuronal assemblies.
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References
Aertsen AMHJ, Bonhoeffer T, Kruger J (1987). In: Caianiello ER (ed) Physics of cognitive processes. World Sciences Publishers, Singapore, pp 1–34
Aertsen AMHJ, Gerstein GL, Habib MK, Palm G (1989) Dynamics of neuronal firing correlation – modulation of effective connectivity. J Neurophysiol 61:900–917
Aertsen A, Vaadia E, Abeles M, Ahissar E, Bergman H, Karmon B, Lavner Y, Margalit E, Nelken I, Rotter S (1991) Neural interactions in the frontal-cortex of a behaving monkey – signs of dependence on stimulus context and behavioral state. J Hirnforsch 32:735–743
Arata A, Hernandez YM, Lindsey BG, Morris KF, Shannon R (2000) Transient configurations of baroresponsive respiratory-related brainstem neuronal assemblies in the cat. J Physiol 525(2):509–530
Baker SN, Gerstein GL (2000) Improvements to the sensitivity of gravitational clustering for multiple neuron recordings. Neural Comput 12:2597–2620
Dayhoff JE (1994) Synchrony detection in neural assemblies. Biol Cybernet 71:263–270
Gerstein GL (1998) Correlation based analysis methods for neural ensemble data. In: Nicolelis M, Simon S, Corless J (eds) Methods for simultaneous neuronal ensemble recordings. CRC Press, Boca Raton, pp 157–178
Gerstein GL, Aertsen AMHJ (1985) Representation of cooperative firing activity among simultaneously recorded neurons. J Neurophysiol 54:1513–1528
Gerstein GL, Perkel DH (1972) Mutual temporal relationships among neuronal spike trains. Biophysical J 12:453–473
Gerstein GL, Perkel DH, Dayhoff JE (1985) Cooperative firing activity in simultaneously recorded populations of neurons: detection and measurement. J Neurosci 5:881–889
Gerstein GL, Bloom MJ, Maldonado PE (1998) Organization and perturbation of neuronal assemblies. In: Brugge J, Poon P (eds) Central auditory processing and neural modeling. Plenum, New York
Gochin PM, Gerstein GL, Kaltenbach JA (1990) Dynamic temporal properties of effective connections in rat dorsal cochlear nucleus. Brain Res 510:195–202
Green D, Swets J (1966) Signal detection theory and psychophysics. Wiley, New York
Grün S, Diesmann M, Aertsen A (2002) Unitary events in multiple single-neuron spiking activity: detection and significance. Neural Comput 14:43–80
Hebb DO (1949) The organization of behavior. Wiley, New York
Lindsey BG (2001) How is the respiratory central pattern generator configured and reconfigured?. Adv Exp Med Biol 499:179–184
Lindsey BG, Gerstein GL (2006) Two enhancements of the gravity algorithm for multiple spike train analysis. J Neurosci Methods 150:116–127
Lindsey BG, Shannon R, Gerstein GL (1989) Gravitational representation of simultaneously recorded brain stem respiratory neuron spike trains. Brain Res 483:373–378
Lindsey BG, Hernandez YM, Morris K, Shannon R, Gerstein GL (1992b) Dynamic reconfiguration of brain stem neural assemblies: respiratory phase-dependent synchrony vs. modulation of firing rates. J Neurophysiol 67:923–930
Lindsey BG, Hernandez YM, Morris K, Shannon R, Gerstein GL (1992a) Respiratory related neural assemblies in the brain stem midline. J Neurophysiol 67:905–922
Lindsey BG, Morris KF, Shannon R, Gerstein GL (1997) Repeated patterns of distributed synchrony in neuronal assemblies. J Neurophysiol 78:1714–1719
Maldonado PE, Gerstein GL (1996) Neuronal assembly dynamics in the rat auditory cortex during reorganization induced by intracortical microstimulation. Exp Brain Res 112:431–441
Martin PD (2001) Locomotion towards a goal alters the synchronous firing of neurons recorded simultaneously in the subiculum and nucleus accumbens of rats. Behav Brain Res 124:19–28
Morris KF, Baekey DM, Nuding SC, Segers LS, Shannon R, Lindsey BG (2003) Neural network plasticity in respiratory control. J Appl Physiol 94:1242–1252
Pauluis Q, Baker SN (2000) An accurate measure of the instantaneous discharge probability, with application to unitary joint-event analysis. Neural Comput 12:647–669
Sammon JW Jr (1969) A non-linear mapping for data structure analysis. IEEE Trans Comput C 18:401–409
Strangman G (1997) Detecting synchronous cell assemblies with limited data and overlapping assemblies. Neural Comput 9:51–76
Stuart L, Walter M, Borisyuk R (2002) Visualisation of synchronous firing in multi-dimensional spike trains. BioSystems 67:265–279
Wright WE (1977) Gravitational clustering. Pat Recogn 9:151–166
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Gerstein, G. (2010). Gravitational Clustering. In: Grün, S., Rotter, S. (eds) Analysis of Parallel Spike Trains. Springer Series in Computational Neuroscience, vol 7. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-5675-0_8
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DOI: https://doi.org/10.1007/978-1-4419-5675-0_8
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