TRANSFORMATION OF A STATIONARY POISSON FLOW OF IMPULSES IN THE SYNAPSE OF A NERVE CELL,

Abstract

The action of a Poisson flow of impulses on one synapse for the case of background activity is analyzed in the present study. According to the mediator theory of transmission of excitation through a synapse, each impulse arriving along the axon to the synapse is accompanied by secretion of a certain number of molecules of a chemical substance, the mediator, into the synaptic fissure. It is assumed that bundles of the mediator molecules represent uniformly distributed independent positive random values x with a distribution function H(x), and that the decomposition of the mediator is constant in time. Also, it is assumed that a local postsynaptic potential (LPSP) appears in response to each input impulse and the amplitude of the LPSP is proportional to mediator concentration in a synaptic fissure. After determining distribution function for the mediator concentration, it can be used to find the amplitude probability distributions of LPSP. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1969
Accession Number
AD0694428

Entities

People

  • A. B. Kogan
  • I. V. Popov

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Cells
  • Decomposition
  • Distribution Functions
  • Excitation
  • Mathematics
  • Molecules
  • Nerves
  • Neurons
  • Probability
  • Probability Distributions
  • Secretion
  • Stationary

Fields of Study

  • Mathematics

Readers

  • Immunology and Pathology
  • Neuroscience
  • Statistical inference.