Motion induced transformations of spatial representations: Mapping 3d information onto 2d

Spatial positions of objects are represented by ''clouds of activation'' in a neural grid. In a moving frame these clouds provide a stable representation of objects in the inertial coordinate system. Relative motion of the activation pattern is realized by creation and deletion of activity along three axes of the neural grid. First results are reported from simulations of a system with one rotatory and two translatory degrees of freedom. It is easy to extend the system to six degrees of freedom without changing the theory. A three-dimensional version of the system in head fixed polar coordinates is discussed. The three-dimensional neural structure, required for three-dimensional activation patterns, can be mapped to a two-dimensional layer of neurons. This mapping of 3D information onto a 2D network implies a very typical architecture, predicting many details of biological brain structures.

[1]  P E Voorhoeve Climbing fibre responses in cerebellar cortex. , 1967, Progress in brain research.

[2]  C. A. Fox,et al.  A quantitative study of the Purkinje cell dendritic branchlets and their relationship to afferent fibres. , 1957, Journal of anatomy.

[3]  A S French,et al.  A flexible neural analog using integrated circuits. , 1970, IEEE transactions on bio-medical engineering.

[4]  J. Albus Mechanisms of planning and problem solving in the brain , 1979 .

[5]  Rolf Eckmiller,et al.  Computational model of the motor program generator for pursuit , 1986, Journal of Neuroscience Methods.

[6]  G. Hartmann Recognition of Hierarchically encoded images by technical and biological systems , 2004, Biological Cybernetics.

[7]  Professor Dr. John C. Eccles,et al.  The Cerebellum as a Neuronal Machine , 1967, Springer Berlin Heidelberg.

[8]  J. Eccles,et al.  The excitatory synaptic action of climbing fibres on the Purkinje cells of the cerebellum , 1966, The Journal of physiology.

[9]  D. Marr A theory of cerebellar cortex , 1969, The Journal of physiology.

[10]  R Llinás,et al.  Interaction experiments on the responses evoked in Purkinje cells by climbing fibres , 1966, The Journal of physiology.

[11]  J. Eccles An instruction-selection theory of learning in the cerebellar cortex , 1977, Brain Research.

[12]  J. Murphy,et al.  Cerebellar modulation of reflex gain , 1979, Progress in Neurobiology.

[13]  A. Pellionisz,et al.  Brain modeling by tensor network theory and computer simulation. The cerebellum: Distributed processor for predictive coordination , 1979, Neuroscience.

[14]  R. Llinás,et al.  Eighteenth Bowditch lecture. Motor aspects of cerebellar control. , 1974, The Physiologist.

[15]  V. Braitenberg,et al.  Morphological observations on the cerebellar cortex , 1958, The Journal of comparative neurology.