Reisensburg 1996: Abstract K. Utikal
**Statistical Computing '96 - Schloß Reisensburg**

**
A New Method for Detecting Neural Interconnectivity
**

**
Klaus J. Utikal
**

Fakultät für Wirtschaftswissenschaften, Universität Bonn
The statistical analysis of firing activities of an observed group of
neurons is an important problem in neurology.

Among existing methods we will briefly mention those based on cross
correlation analysis [1], [2], the Gravity Method [3], and counting process
regression models [4], [5].

In this last approach we assume that the
intensity of firings of a (target) neuron is some unknown function of the
times since the last firing of the target and of the other neurons
(triggers) in the ensemble. The nature of neural interactions can be inferred
from geometric features of the representation of the intensity estimate as
a surface in three dimensional space.

This method is applied to empirically obtained data [6], [7].
Comparisons with the other two methods mentioned are drawn [8].

Some open, computationally
intensive problems regarding information transmission in neural networks
will be discussed.

**Literatur:**

- Perkel, D.H., Gerstein, G.L., and Moore, G.P. (1967). Neuronal
spike trains and stochastic point process. II. Simultaneous spike trains.
Biophys. J., 7, 419-440.
- Aertsen, A.M.H.J. and Gerstein, G.L. (1985). Evaluation of
neuronal connectivity: sensivity of cross-correlation. Brain Res.
340 341-345.
- Gerstein, G.L., Perkel, D.H., and Dayhoffs, J.E. (1985).
Cooperative Firing Activity in Simultaneously Recorded Populations of
Neurons: Detection and Measurement. The Journal of Neuroscience. Vol. 5,
4, 881-889.
- Utikal, K.J. (1995a). Markovian interval processes I:
nonparametic inference, submitted to JSPA.
- Utikal, K.J. (1995b). Markovian interval processes II: analysis
of neural spike train data. submitted to JSPA
- Lindsey, B.G., Hernandez, Y.M., Morris, K.F., and Shannon, R.
(1992).
Functional connectivity between brain stem midline neurons with
respiratory-modulated firing rates. Journal Neurophysiology. 67, 890-904.
- Lindsey, B.G., Segers, L.S., Morris, K.F., Hernandez, Y.M.,
Saporta, S., and Shannon, R. (1994). Distributed Actions and Dynamic
Associations in Respiratory-Related Neuronal Assemblies of the Ventrolateral
Medulla and Brain Stem Midline: Evidence From Spike Train Analysis.
Journal Neurophysiology. 72, 1830-1851.
- Utikal, K.J. (1995c). A nonparametric method for detecting neural
connectivity. Proceedings of the 10 th Intl. Workshop on Statist.
Modeling. Springer.

Statistical Computing '96 auf
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