Considering models based on classical probability theory, states of signals in the brain should be identified with probability distributions of certain random point fields representing the configuration of excited neurons. Then the outcomes of EEG-measurements can be considered as random variables being certain functions of that random point field. In practice, specialists use certain statistical methods evaluating the outcomes of the sequence of these measurements. To make these statistical investigations precise, one should know the distribution of the stochastic process on the space of point configurations representing the time evolution of the configuration of excited neurons in the brain. Up to now that distribution is totally unknown. In this paper we consider time evolutions of random point fields as well as the distribution of the outcomes of EEG-measurements related to unitary evolutions of certain quantum states used in [4, 5, 10 – 14] in order to describe activities of the brain.

background

The Compound Fock Space and its Application in Brain Models

On a Quantum Model of Brain Activities — Distribution of the Outcomes of EEG-Measurements and Random Point Fields

In modern brain research, an internal noise caused by the memory is represented by the output of EEG-measurement. However, based on classical models specialists in EEG-mapping cannot explain the observed properties of the internal noise. In this paper using the quantum models we consider the asymptotic behaviour of the internal noise caused by the memory.

Internal Noise Caused by the Memory

In this chapter, we discuss some applications of mathematics in the quantum theory and information science to the biosystems and life sciences.

The Compound Fock Space and its Application in Brain Models

Citations

On a Quantum Model of Brain Activities — Distribution of the Outcomes of EEG-Measurements and Random Point Fields

Internal Noise Caused by the Memory

Applications to Life Science

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