2017
DOI: 10.1002/ijch.201600079
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Theory of Amyloid Fibril Nucleation from Folded Proteins

Abstract: We present a theoretical model for the nucleation of amyloid fibrils. In our model we use helix-coil theory to describe the equilibrium between a soluble native state and an aggregation-prone unfolded state. We then extend the theory to include oligomers with β-sheet cores and calculate the free energy of these states using estimates for the energies of H-bonds, steric zipper interactions, and the conformational entropy cost of forming secondary structure. We find that states with fewer than ~10 β-strands are … Show more

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Cited by 14 publications
(16 citation statements)
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“…This means that amyloid nu- * schmit@phys.ksu.edu cleation is better viewed as a 3D incorporation of amino acid building blocks rather than a 1D or 2D assembly of polypeptide strands. The β-sheet must be 4-6 strands thick to overcome the entropic cost of straightening the first molecule [12], consistent with numerous simulations showing that fibrils shorter than this size are unstable [13][14][15][16][17][18][19][20][21].…”
supporting
confidence: 71%
See 1 more Smart Citation
“…This means that amyloid nu- * schmit@phys.ksu.edu cleation is better viewed as a 3D incorporation of amino acid building blocks rather than a 1D or 2D assembly of polypeptide strands. The β-sheet must be 4-6 strands thick to overcome the entropic cost of straightening the first molecule [12], consistent with numerous simulations showing that fibrils shorter than this size are unstable [13][14][15][16][17][18][19][20][21].…”
supporting
confidence: 71%
“…However, the initiation of β-structure from two disordered molecules requires both molecules to lose conformational entropy. As a result, this event is net repulsive [11,12]. This means that amyloid nu- * schmit@phys.ksu.edu cleation is better viewed as a 3D incorporation of amino acid building blocks rather than a 1D or 2D assembly of polypeptide strands.…”
mentioning
confidence: 99%
“…The system of three molecules is unstable, so we have developed a stable 3D model. The nucleation rate in 3D model can be written as [ 32 ] where and …”
Section: Discussionmentioning
confidence: 99%
“…Although amyloid nucleation and growth is very complex, classical nucleation theory predicts that the environment of the critical nucleus should influence the structure of the resulting aggregate ( Figure 1a) (36)(37)(38). Nucleation theory is widely applied to direct the crystallization of small molecule polymorphs, and nucleation driven control over amyloid structure has been used to 5 produce fibrils of sufficient purity for X-ray crystallography and solid-state NMR spectroscopy through repeated seeding (17,39).…”
Section: Introductionmentioning
confidence: 99%