Abstract
A class of Markov processes with local interaction is derived from physiologically reasonable assumptions. The characteristic operator of these processes is expressed in terms of moving boundary passage problem. An invariant distribution is calculated for one subclass (including time-reversible processes) and a possible application of the theory to the statistical analysis of firing times of interdependent neurons is indicated.
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Kryukov, V.I. (1978). Markov interaction processes and neuronal activity. In: Dobrushin, R.L., Kryukov, V.I., Toom, A.L. (eds) Locally Interacting Systems and Their Application in Biology. Lecture Notes in Mathematics, vol 653. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0070089
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DOI: https://doi.org/10.1007/BFb0070089
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