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  2. Amyloid beta - Wikipedia

    en.wikipedia.org/wiki/Amyloid_beta

    Amyloid beta (Aβ, Abeta or beta-amyloid) denotes peptides of 36–43 amino acids that are the main component of the amyloid plaques found in the brains of people with Alzheimer's disease. [2] The peptides derive from the amyloid-beta precursor protein (APP), which is cleaved by beta secretase and gamma secretase to yield Aβ in a cholesterol ...

  3. P3 peptide - Wikipedia

    en.wikipedia.org/wiki/P3_peptide

    p3 peptide also known as amyloid β- peptide (Aβ) 17–40/42 is the peptide resulting from the α-and γ-secretase cleavage from the amyloid precursor protein . It is known to be the major constituent of diffuse plaques observed in Alzheimer's disease (AD) brains and pre- amyloid plaques in people affected by Down syndrome .

  4. Absolutely and completely monotonic functions and sequences

    en.wikipedia.org/wiki/Absolutely_and_completely...

    The notions of completely and absolutely monotone function/sequence play an important role in several areas of mathematics. For example, in classical analysis they occur in the proof of the positivity of integrals involving Bessel functions or the positivity of Cesàro means of certain Jacobi series. [ 6 ]

  5. Amyloid plaques - Wikipedia

    en.wikipedia.org/wiki/Amyloid_plaques

    Amyloid beta (Aβ) is a small protein, most often 40 or 42 amino acids in length, that is released from a longer parent protein called the Aβ-precursor protein (APP). [24] APP is produced by many types of cell in the body, but it is especially abundant in neurons. It is a single-pass transmembrane protein, passing once through cellular ...

  6. Amyloid-beta precursor protein - Wikipedia

    en.wikipedia.org/wiki/Amyloid-beta_precursor_protein

    Amyloid-beta precursor protein (APP) is an integral membrane protein expressed in many tissues and concentrated in the synapses of neurons. It functions as a cell surface receptor [ 5 ] and has been implicated as a regulator of synapse formation , [ 6 ] neural plasticity , [ 7 ] antimicrobial activity, [ 8 ] and iron export . [ 9 ]

  7. Helly's selection theorem - Wikipedia

    en.wikipedia.org/wiki/Helly's_selection_theorem

    In mathematics, Helly's selection theorem (also called the Helly selection principle) states that a uniformly bounded sequence of monotone real functions admits a convergent subsequence. In other words, it is a sequential compactness theorem for the space of uniformly bounded monotone functions. It is named for the Austrian mathematician Eduard ...

  8. List of mathematical functions - Wikipedia

    en.wikipedia.org/wiki/List_of_mathematical_functions

    In mathematics, some functions or groups of functions are important enough to deserve their own names. This is a listing of articles which explain some of these functions in more detail. There is a large theory of special functions which developed out of statistics and mathematical physics.

  9. Sheffer sequence - Wikipedia

    en.wikipedia.org/wiki/Sheffer_sequence

    In mathematics, a Sheffer sequence or poweroid is a ... Sheffer sequences are thus examples of generalized Appell polynomials and hence have an ... 42 (3): 684– 750 ...