Models of Neurons and Perceptrons: Selected Problems and Challenges by Andrzej Bielecki

Author:Andrzej Bielecki
Language: eng
Format: epub, pdf
Publisher: Springer International Publishing, Cham

(vi) denotes the coefficient of the rate of neurotransmitter exocytosis, i.e. it is the number of vesicles released through the unit area of the membrane in unit time by the unit difference of the concentration in the cell and outside the cell; in some types of biological neurons a single action potential activates about 300 vesicles and a single vesicle contains molecules of neurotransmitter;

(vii) is the diffusion tensor for the vesicles; in the discussed model it is additionally assumed that, in the context of transport, the interior of the bouton is both time independent and homogenous, as well as isotropic; in a such case the tensor is diagonal, independent on space and constant in time; furthermore, the values of all three entries on the diagonal are the same and, as a consequence, the tensor can be reduced to the single coefficient of diffusion; for instance, for the acetylcholine, it is equal to 300 m/s - see [57]);

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