Are there Unfoldable Proteins in Dimension Three?

نویسندگان

  • Folkert Tangerman
  • Rinni Bhansali
چکیده

In this paper we show the existence of three dimensional rigid, and thus unfoldable, lattice conformations. The structure described here has 461 bonds. We provide a computer assisted proof of its rigidity. The existence of rigid two dimensional structures was shown earlier, see [3]. This work answers Question 8 in [2] in the affirmative: rigid (and hence unfoldable from a straight conformation) self avoiding lattice walks exist also in dimension three. The existence of such rigid structures illustrates why protein folding problems are hard in dimension three: it may not possible to fold one conformation into another using a specific set of folding rules. 1 ar X iv :1 40 9. 33 97 v1 [ qbi o. B M ] 1 1 Se p 20 14

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تاریخ انتشار 2014