ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)


For citation:

Kuznetsova G. D., Pelinovskij D. E., Yakhno V. G. Mathematical models of the dynamics of the spreading depression waves in cerebrum cortex . Izvestiya VUZ. Applied Nonlinear Dynamics, 1994, vol. 2, iss. 3, pp. 86-99.

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Russian

Mathematical models of the dynamics of the spreading depression waves in cerebrum cortex

Autors: 
Kuznetsova Galina Dmitrievna, Federal State Budgetary Institution of Science "Institute of Higher Nervous Activity and Neurophysiology RAS"
Pelinovskij Dmitrij Efimovich, Institute of Applied Physics of the Russian Academy of Sciences
Yakhno Vladimir Grigorevich, Institute of Applied Physics of the Russian Academy of Sciences
Abstract: 

The experimental data on the dynamics of the spreading depression waves and some fronts of convulsive activity in cerebrum cortex are compared with the known collective activity structures in the models of neuro-like media with nonlocal spatial coupling and self-consistant excitation threadshold. It is shown that the pulsing sources of temperature activity which were discovered at the investigation of the cerebrum cortex of a rat can be described using the model of neuro-like medium by additional inhibiting action of the local low-inertial excitation threashold. The pecularities of the dynamics of the propagating and pulsing structures are investigated by means of qualitative analysis and computer simulation of the corresponding neuro-like medium.

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Reference: 

8. Wilson H.R., Covan T.D. Excitatory and inhibitory interactions in localized populations of model neurons // Biophys, J. 1972. Vol. 12, P. 1

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