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Depending on the sum total of many individual inputs, summation may or may not reach the threshold voltage to trigger an action potential. [1] Neurotransmitters released from the terminals of a presynaptic neuron fall under one of two categories, depending on the ion channels gated or modulated by the neurotransmitter receptor.
Ramanujan summation is a technique invented by the mathematician Srinivasa Ramanujan for assigning a value to divergent infinite series.Although the Ramanujan summation of a divergent series is not a sum in the traditional sense, it has properties that make it mathematically useful in the study of divergent infinite series, for which conventional summation is undefined.
A summation-by-parts (SBP) finite difference operator conventionally consists of a centered difference interior scheme and specific boundary stencils that mimics behaviors of the corresponding integration-by-parts formulation. [3] [4] The boundary conditions are usually imposed by the Simultaneous-Approximation-Term (SAT) technique. [5]
Bernard Katz pioneered the study of these mEPSPs at the neuromuscular junction (often called miniature end-plate potentials [6]) in 1951, revealing the quantal nature of synaptic transmission. Quantal size can then be defined as the synaptic response to the release of neurotransmitter from a single vesicle, while quantal content is the number ...
[1] According to temporal summation one would expect the inhibitory and excitatory currents to be summed linearly to describe the resulting current entering the cell. However, when inhibitory and excitatory currents are on the soma of the cell, the inhibitory current causes the cell resistance to change (making the cell "leakier"), thereby ...
Karl H. Pribram (/ ˈ p r aɪ b r æ m /; German: [ˈpʁiːbram]; February 25, 1919 – January 19, 2015) was a visionary neurosurgeon, neuroscientist and theoretical philosopher described by his peers as the “Einstein of Brain Science” [1] and the “Magellan of the Mind” for his groundbreaking research into the function and roles of the limbic system, frontal lobes, and temporal lobes ...
Holonomic brain theory is a branch of neuroscience investigating the idea that consciousness is formed by quantum effects in or between brain cells. Holonomic refers to representations in a Hilbert phase space defined by both spectral and space-time coordinates. [1]
In mathematics, a Ramanujan–Sato series [1] [2] generalizes Ramanujan’s pi formulas such as, = = ()!! + to the form = = + by using other well-defined sequences of integers obeying a certain recurrence relation, sequences which may be expressed in terms of binomial coefficients (), and ,, employing modular forms of higher levels.