Abstract
Two methods were derived to estimate the probability of recording cell assemblies using multiple simultaneous electrode recordings. The derivations are independent of the definition of a cell assembly, and require only a statistic for evaluating cell assembly membership from spike train data. The resulting equations are functions of 1) the size of the search area, 2) the smallest expected assembly size, 3) the number of recorded neurons, and 4) the predicted spatial distribution of assembly neurons. The equations can be used to estimate the following three quantities. First, the equations directly calculate the probability of detecting i or more cells of an hypothesized assembly. Second, by making several such calculations, one can estimate when sufficient sampling has been performed to claim, at any desired confidence level, that a posited type of cell assembly does not exist. Third, the probability of detecting one out of several active assemblies can be calculated, given assumptions about assembly-assembly interactions.
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References
Abeles M (1982) Local Cortical Circuits: An Electrophysiological Study. Springer-Verlag, Berlin.
Abeles M (1991) Corticonics. Cambridge University Press, Cambridge.
Abeles M, Bergman H, Margalit E, Vaadia E (1993) Spatiotemporal firing patterns in the frontal cortex of behaving monkeys. J. Neurophysiol. 70(4):1629–1638.
Barlow HB (1972) Single units and sensation: A neuron doctrine for perceptual psychology? Perception 1:371–394.
Brugge JF (1985) Patterns of organization in auditory cortex. J. Acoust. Soc. Am. 78:353–259.
Eckhorn R, Bauer R, Jordan W, Brosch M, Kruse W, Munk M, Reitboeck HJ (1988) Coherent oscillations: A mechanism of feature linking in the visual cortex? Biol. Cybern. 60:121–130.
Edelman GM (1987) Neural Darwinism: The Theory of Neuronal Group Selection. Basic Books, New York.
Falk CX, Wu JY, Cohen LB, Tang AC (1993) Nonuniform expression of habituation in the activity of distinct classes of neurons in the Aplysia abdominal ganglion. J. Neurosci. 13(9):4072–4081.
Georgopoulos AP, Schwartz AB, Kettner RE (1986) Neuronal population coding of movement direction. Science 233:1416–1419.
Gochin PM, Columbo M, Dorfman GA, Gerstein GL, Gross CG (1994) Neural ensemble coding in inferior temporal cortex. J. Neurophysiol. 71:2325–2337.
Gray CM, König P, Engel AK, Singer W (1989) Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature 338:334–337.
Hebb DO (1949) The Organization of Behavior. Wiley, New York.
Hubel DH, Wiesel TN (1968) Receptive fields and functional architecture of monkey striate cortex. J. Physiol. (Lond.) 195:215–243.
Humphrey DR, Corrie WS, Rietz R (1978) Properties of the pyramidal tract neuron system within the precentral wrist and hand area of primate motor cortex. J. Physiol. (Paris) 74:215–226.
James W (1890) Psychology (Briefer Course). Holt, New York.
Lindsey BG, Shannon R, Gerstein GL (1989) Gravitational representation of simultaneously recorded brainstem respiratory neuron spike trains. Brain Res. 483:373–378.
Merzenich MM, Nelson RJ, Kaas JH, Stryker MP, Jenkins WM, Zook JM, Cynader MS, Schoppmann A (1987) Variability in hand surface representations in areas 3b and 1 in adult owl and squirrel monkeys. J. Comp. Neurol. 258:281–296.
Nicolelis MA, Lin RCS, Woodward DJ, Chapin JK (1993) Dynamic distributed properties of many-neuron ensembles in the ventral posterior medial thalamus of awake rats. Proc. Natl. Acad. Sci. USA 90:2212–2216.
Nordhausen CT, Rousche PJ, Normann RA (1994) Optimizing recording capabilities of the utah intracortical electrode array. Brain Res. 637:27–36.
Palm G (1982) Neural assemblies: An Alternative Appropach to Artificial Intelligence. Springer-Verlag, Berlin.
Reitbock HJP (1983) A 19-channel matrix drive with individually controllable fiber microelectrodes for neurohpysiological applications. IEEE Trans. Sys. Man Cyber. 13(5):676–683.
Rockel AJ, Hiorns RW, Powell TPS (1980) The basic uniformity in structure of the neocortex. Brain 103:221–244.
Sanes JN, Donoghue JP (1991) Organization and adaptability of muscle representations in primary motor cortex. In: R Caminiti, PB Johnson, Y Burnod, eds. Control of Arm Movement in Space: Neurophysiological and Computational Approaches. Springer-Verlag, Berlin, pp. 103–127.
Sporns O, Galley JA, Reeke Jr., GN, Edelman GM (1989) Reentrant signaling among simulated neuronal groups leads to coherency in their oscillatory activity. Proc. Nat. Acad. Sci. USA 86:7265–7269.
Vaadia E, Haalman I, Abeles M, Bergman H, Prut Y, Slovin H, Aertsen A (1995) Dynamics of neuronal interactions in monkey cortex in relation to behavioral events. Nature 373:515–518.
Wilson MA, McNaughton BL (1993) Dynamics of the hippocampal ensemble code for space. Science 261:1055–1057.
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Strangman, G. Searching for cell assemblies: How many electrodes do I need?. J Comput Neurosci 3, 111–124 (1996). https://doi.org/10.1007/BF00160807
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DOI: https://doi.org/10.1007/BF00160807