Editing 1430: Proteins

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Cueball then asks Megan why it is such a hard computational problem; Megan's response is to ask Cueball if he's ever {{w|Origami|folded paper}} to make a {{w|Crane (bird)|crane}}. When he responds in the affirmative, she then compares the problem of predicting protein folding to creating a ''living'' crane by the paper-folding process. The analogy is that a protein cannot just fold to a figurative representation of a bio-molecule, the way a paper crane superficially resembles a live crane; the protein must assume an exact, perfect fold in order to be functional.
 
Cueball then asks Megan why it is such a hard computational problem; Megan's response is to ask Cueball if he's ever {{w|Origami|folded paper}} to make a {{w|Crane (bird)|crane}}. When he responds in the affirmative, she then compares the problem of predicting protein folding to creating a ''living'' crane by the paper-folding process. The analogy is that a protein cannot just fold to a figurative representation of a bio-molecule, the way a paper crane superficially resembles a live crane; the protein must assume an exact, perfect fold in order to be functional.
  
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{{w|Levinthal's paradox}} is a thought experiment, also constituting a self-reference in the theory of protein folding. In 1969, Cyrus Levinthal noted that, because of the very large number of degrees of freedom in an unfolded polypeptide chain, the molecule has an astronomical number of possible conformations. For example, a polypeptide of 100 {{w|Residue (chemistry)|residue}}s will have 99 peptide bonds, and therefore 198 different {{w|Dihedral angle|phi and psi bond angles}}. If each of these bond angles can be in one of three stable conformations, the protein may misfold into a maximum of 3<sup>198</sup> different conformations (including any possible folding redundancy). Therefore, if a protein were to attain its correctly folded configuration by sequentially sampling all the possible conformations, it would require a time longer than the age of the universe to arrive at its correct native conformation. This is true even if conformations are sampled at rapid (nanosecond or picosecond) rates. The "paradox" is that most small proteins fold to their proper conformation spontaneously, on a millisecond or even microsecond time scale. This paradox is central to computational approaches to protein structure prediction.
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{{w|Levinthal's paradox}} is a thought experiment, also constituting a self-reference in the theory of protein folding. In 1969, Cyrus Levinthal noted that, because of the very large number of degrees of freedom in an unfolded polypeptide chain, the molecule has an astronomical number of possible conformations. For example, a polypeptide of 100 {{w|Residue (chemistry)|residue}}s will have 99 peptide bonds, and therefore 198 different {{w|Dihedral angle|phi and psi bond angles}}. If each of these bond angles can be in one of three stable conformations, the protein may misfold into a maximum of 3<sup>198</sup> different conformations (including any possible folding redundancy). Therefore, if a protein were to attain its correctly folded configuration by sequentially sampling all the possible conformations, it would require a time longer than the age of the universe to arrive at its correct native conformation. This is true even if conformations are sampled at rapid (nanosecond or picosecond) rates. The "paradox" is that most small proteins fold spontaneously on a millisecond or even microsecond time scale. This paradox is central to computational approaches to protein structure prediction.
  
 
As Cueball mentally turns over the hypothetical process of folding paper to make a living crane, he wonders if he is allowed to perhaps "cut" the paper to make more complicated folds available. In origami, purists [https://web.archive.org/web/20200207151442/http://www.barf.cc/jeremy/origami/BOOK/essays/origami_purism/origami_purism.htm] considered it as cheating if you cut the paper or use more than one sheet of paper, which is why Cueball asked if he was 'allowed' to do such in the hypothetical exercise they are discussing.
 
As Cueball mentally turns over the hypothetical process of folding paper to make a living crane, he wonders if he is allowed to perhaps "cut" the paper to make more complicated folds available. In origami, purists [https://web.archive.org/web/20200207151442/http://www.barf.cc/jeremy/origami/BOOK/essays/origami_purism/origami_purism.htm] considered it as cheating if you cut the paper or use more than one sheet of paper, which is why Cueball asked if he was 'allowed' to do such in the hypothetical exercise they are discussing.

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