Adaptive filter model of the cerebellum
- 577 Downloads
The Marr-Albus model of the cerebellum has been reformulated with linear system analysis. This adaptive linear filter model of the cerebellum performs a filtering action of a phase lead-lag compensator with learning capability, and will give an account for the phenomena which have been termed “cerebellar compensation”. It is postulated that a Golgi cell may act as a phase lag element; for example, as a leaky integrator with time constant about several seconds. Under this assumption, a mossy fiber-granule cell-Golgi cell input network functions as a phase lead-lag compensator. Output signals from Golgi-granule cell systems, namely, parallel fiber signals, are gathered together through variable synaptic connections to form a Purkinje cell output. From a general theory of adaptive linear filters, learning principles for these modifiable connections are derived. By these learning principles, a Purkinje cell output converges to the “desired response” to minimize the mean square error of the performance. In a more general sense, a Purkinje cell acquires a filtering function on the basis of multiple pairs of input signals and corresponding desired output signals. The mode of convergence of the output signal is described when the input signal is sinusoidal.
KeywordsInput Signal Purkinje Cell Granule Cell Cerebellar Cortex Parallel Fiber
Unable to display preview. Download preview PDF.
- Gonshor, A., Melvill Jones, G.: Extreme vestibulo-ocular adaptation induced by prolonged optical reversal of vision. J. Physiol. (London) 256, 381–414 (1976)Google Scholar
- Ito, M.: Learning control mechanisms by the cerebellum investigated in the flocculo-vestibulo-ocular system. In: The Nervous System, Vol. 1, pp. 245–252, Tower, D.B. (ed). New York: Raven Press, 1975Google Scholar
- Ito, M.: Recent advances in cerebellar physiology and pathology. In: Advances in Neurology, Vol. 21, pp. 59–84. Kark, R.A., Rosenberg, R.N., Shut, L.J.(eds). New York: Raven Press 1978Google Scholar
- Lange, W.: Regional differences in the distribution of Golgi cells in the cerebellar cortex of man and some other mammals. Cell Tiss. Res. 153, 219–226 (1974)Google Scholar
- Marr, D.: A theory of cerebellar cortex. J. Physiol. (London) 202, 437–470 (1969)Google Scholar
- Takahashi, Y., Rabins, M.J., Auslander, D.M.: Control and dynamic systems. Massachusetts: Addison-Wesley 1970Google Scholar
- Tsypkin, Ya.Z.: Adaptation and learning in automatic systems. In: Mathematics in Science and Engineering, Vol. 73. Bellman, R.(ed). New York: Academic Press 1971Google Scholar
- Wasan, M.T.: Stochastic approximation. Cambridge: Cambridge University Press 1969Google Scholar