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Low-dimensional chaos maps learning in a model neuropil (olfactory bulb)
- Source :
- Integrative Physiological and Behavioral Science. 27:304-322
- Publication Year :
- 1992
- Publisher :
- Springer Science and Business Media LLC, 1992.
-
Abstract
- Quantification of a chaotic system can be made by calculating the correlation dimension (D2) of the data that the system generates (Packard et al., 1980). The D2 algorithm, however, requires stationarity of the generator, a feature that biological data rarely reflect (Mayer-Kress et al., 1988). So we developed the "point correlation dimension" (PD2), an algorithm that accurately tracks D2 in linked data of different dimensions (Carpeggiani et al., 1991). We now present a mathematical argument that, for stationary data, individual PD2s converge to D2 and we demonstrate that the algorithm rejects contributions made by bursts of noise. Data were obtained from the surface of the olfactory bulb of the conscious rabbit (64 electrodes, 640 Hz each, 1.3 sec epochs) before and after presentation of a novel or habituated odor. D2 could be calculated in only 1 of 10 novel-odor trials, whereas PD2 could be calculated in all. Both algorithms indicated that a novel odor evokes a spatially uniform dimensional increase. The PD2 uniquely exhibited the dimensional decreases that occur during inspiration and the gradients of mean dimension present during the nonstimulated control state. These control gradients remained unchanged without odor experience, but showed spatially specific PD2 increases following odor habituation. It is interpreted that, 1) the PD2 is sensitive, accurate, and appropriate for dimensional assessment of biological data, 2) that during analysis of unfamiliar information a single global process is transiently evoked in the neuropil, and 3) after experience multiple spatially specific processes tonically map the sites of learning.
- Subjects :
- Male
Cultural Studies
Correlation dimension
Stationary process
Social Psychology
Models, Neurological
Olfaction
Stereotaxic Techniques
Dimension (vector space)
Neuropil
medicine
Animals
Learning
Habituation
Habituation, Psychophysiologic
Electrodes
Evoked Potentials
Applied Psychology
Mathematics
Brain Mapping
Behavior, Animal
business.industry
Communication
Pattern recognition
Olfactory Bulb
Olfactory bulb
Philosophy
medicine.anatomical_structure
Odor
Anthropology
Odorants
Rabbits
Artificial intelligence
business
Neuroscience
Algorithms
Subjects
Details
- ISSN :
- 19363567 and 1053881X
- Volume :
- 27
- Database :
- OpenAIRE
- Journal :
- Integrative Physiological and Behavioral Science
- Accession number :
- edsair.doi.dedup.....e53cb4a8e294980b52bfd71a34b4751b