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Basic ways that neurons can interact with each other when converting input to output. Summation, which includes both spatial summation and temporal summation, is the process that determines whether or not an action potential will be generated by the combined effects of excitatory and inhibitory signals, both from multiple simultaneous inputs (spatial summation), and from repeated inputs ...
Temporal summation means that the effects of impulses received at the same place can add up if the impulses are received in close temporal succession. Thus the neuron may fire when multiple impulses are received, even if each impulse on its own would not be sufficient to cause firing.
Neurons which receive relatively few inputs cannot rely on spatial summation and therefore must rely on stronger synaptic inputs. Some relatively unbranched neurons, such as the globus pallidus neuron, bypass the need of strong synaptic input by increased concentrations of voltage-gated sodium channels at the synapse. [ 8 ]
In classic brain theory the summation of electrical inputs to the dendrites and soma (cell body) of a neuron either inhibit the neuron or excite it and set off an action potential down the axon to where it synapses with the next neuron. However, this fails to account for different varieties of synapses beyond the traditional axodendritic (axon ...
In neurophysiology, the Compound action potential (or CAP) refers to various evoked potentials representing the summation of synchronized individual action potentials generated by a group of neurons or muscle fibers in response to a stimulus. [1]
The uniqueness and the zeros of trigonometric series was an active area of research in 19th century Europe. First, Georg Cantor proved that if a trigonometric series is convergent to a function on the interval [,], which is identically zero, or more generally, is nonzero on at most finitely many points, then the coefficients of the series are all zero.
From January 2008 to December 2012, if you bought shares in companies when Richard A. Manoogian joined the board, and sold them when he left, you would have a 92.0 percent return on your investment, compared to a -2.8 percent return from the S&P 500.
Since the Gibbs phenomenon comes from undershooting, it may be eliminated by using kernels that are never negative, such as the Fejér kernel. [12] [13]In practice, the difficulties associated with the Gibbs phenomenon can be ameliorated by using a smoother method of Fourier series summation, such as Fejér summation or Riesz summation, or by using sigma-approximation.