On a Mathematical Model of Brain Activities
- Friedrich Schiller Unversity Jena, Institute of Applied Mathematics, E.-Abbe-Platz 2, 07743 Jena (Germany)
- Friedrich Schiller Unversity Jena, Institute of Psychology, Am Steiger 3, 07743 Jena (Germany)
- Brandenb. Techn. University Cottbus, Dep. of Mathematics, PO box 10 13 44, 03013 Cottbus (Germany)
- Tokyo University of Science, Department of Information Science, Noda City, Chiba 278-8510 (Japan)
The procedure of recognition can be described as follows: There is a set of complex signals stored in the memory. Choosing one of these signals may be interpreted as generating a hypothesis concerning an 'expexted view of the world'. Then the brain compares a signal arising from our senses with the signal chosen from the memory leading to a change of the state of both signals. Furthermore, measurements of that procedure like EEG or MEG are based on the fact that recognition of signals causes a certain loss of excited neurons, i.e. the neurons change their state from 'excited' to 'nonexcited'. For that reason a statistical model of the recognition process should reflect both--the change of the signals and the loss of excited neurons. A first attempt to explain the process of recognition in terms of quantum statistics was given. In the present note it is not possible to present this approach in detail. In lieu we will sketch roughly a few of the basic ideas and structures of the proposed model of the recognition process (Section). Further, we introduce the basic spaces and justify the choice of spaces used in this approach. A more elaborate presentation including all proofs will be given in a series of some forthcoming papers. In this series also the procedures of creation of signals from the memory, amplification, accumulation and transformation of input signals, and measurements like EEG and MEG will be treated in detail.
- OSTI ID:
- 21039507
- Journal Information:
- AIP Conference Proceedings, Vol. 962, Issue 1; Conference: QTRF4: 4. conference on quantum theory: Reconsideration of foundations - 4, Vaexjoe (Sweden), 11-16 Jun 2007; Other Information: DOI: 10.1063/1.2827340; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
- Country of Publication:
- United States
- Language:
- English
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